TSTP Solution File: SYN036-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:26:59 EDT 2023
% Result : Unsatisfiable 6.91s 2.41s
% Output : Refutation 6.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 154
% Syntax : Number of formulae : 283 ( 1 unt; 26 typ; 0 def)
% Number of atoms : 2049 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 5120 (1024 ~;1792 |; 0 &;2304 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 14 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 26 usr; 21 con; 0-1 aty)
% Number of variables : 1024 ( 0 ^;1024 !; 0 ?;1024 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(f1_type,type,
f1: $i > $i ).
thf(big_q_type,type,
big_q: $i > $o ).
thf(f2_type,type,
f2: $i > $i ).
thf(c6_type,type,
c6: $i ).
thf(c7_type,type,
c7: $i ).
thf(c8_type,type,
c8: $i ).
thf(c9_type,type,
c9: $i ).
thf(c10_type,type,
c10: $i ).
thf(c1_type,type,
c1: $i ).
thf(c2_type,type,
c2: $i ).
thf(c3_type,type,
c3: $i ).
thf(c4_type,type,
c4: $i ).
thf(c5_type,type,
c5: $i ).
thf(c11_type,type,
c11: $i ).
thf(c16_type,type,
c16: $i ).
thf(c17_type,type,
c17: $i ).
thf(c18_type,type,
c18: $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(c19_type,type,
c19: $i ).
thf(c20_type,type,
c20: $i ).
thf(c12_type,type,
c12: $i ).
thf(c13_type,type,
c13: $i ).
thf(f3_type,type,
f3: $i > $i ).
thf(c14_type,type,
c14: $i ).
thf(c15_type,type,
c15: $i ).
thf(29,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
thf(150,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(24,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
thf(138,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
thf(249,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(8,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(234,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(65,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_65) ).
thf(170,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(95,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_95) ).
thf(217,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(94,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_94) ).
thf(247,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(7,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(202,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
thf(142,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(84,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
thf(153,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(109,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_109) ).
thf(174,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(64,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_64) ).
thf(185,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_45) ).
thf(184,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(54,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_54) ).
thf(196,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(1,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(157,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(22,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
thf(189,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(121,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_121) ).
thf(152,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(104,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_104) ).
thf(228,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(18,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
thf(216,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(70,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_70) ).
thf(164,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(41,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_41) ).
thf(179,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(58,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_58) ).
thf(238,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(35,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
thf(211,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(83,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_83) ).
thf(253,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(93,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_93) ).
thf(147,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(127,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_127) ).
thf(221,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(115,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_115) ).
thf(132,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(5,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(133,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(107,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_107) ).
thf(243,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(91,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_91) ).
thf(206,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(114,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_114) ).
thf(233,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(47,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_47) ).
thf(248,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(76,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_76) ).
thf(201,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
thf(220,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(85,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_85) ).
thf(160,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(59,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_59) ).
thf(192,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(42,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_42) ).
thf(137,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(21,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
thf(165,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(40,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_40) ).
thf(229,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(122,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_122) ).
thf(252,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(49,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49) ).
thf(197,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(72,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
thf(224,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(116,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_116) ).
thf(156,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(34,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
thf(188,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(92,negated_conjecture,
! [B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_92) ).
thf(169,plain,
! [B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(52,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_52) ).
thf(141,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(111,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_111) ).
thf(256,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(43,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_43) ).
thf(225,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(118,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_118) ).
thf(193,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(112,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_112) ).
thf(212,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(53,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_53) ).
thf(173,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(69,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_69) ).
thf(129,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(120,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_120) ).
thf(134,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(119,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_119) ).
thf(237,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(4,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(244,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(103,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_103) ).
thf(205,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(33,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
thf(166,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(57,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_57) ).
thf(148,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(102,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_102) ).
thf(161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(73,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_73) ).
thf(180,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(78,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_78) ).
thf(149,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(77,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_77) ).
thf(176,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ ( f4 @ B ) )
| ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
thf(191,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(98,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_98) ).
thf(204,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(125,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_125) ).
thf(144,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(82,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_82) ).
thf(236,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(128,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_128) ).
thf(181,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ ( f4 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(6,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(159,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c8 )
| ~ ( big_p @ E )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(32,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
thf(187,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(9,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(172,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(67,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_67) ).
thf(219,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(26,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
thf(230,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(126,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_126) ).
thf(245,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(108,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_108) ).
thf(208,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
thf(140,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(123,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_123) ).
thf(213,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(89,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_89) ).
thf(155,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(86,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_86) ).
thf(198,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f4 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(30,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
thf(240,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ~ ( big_p @ C )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(62,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_62) ).
thf(251,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(101,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_101) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(11,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(223,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(135,plain,
! [B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ ( f2 @ B ) )
| ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(99,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_99) ).
thf(226,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(51,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51) ).
thf(241,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(28,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
thf(167,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(60,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_60) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(90,negated_conjecture,
! [B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_90) ).
thf(255,plain,
! [B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(3,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(209,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(71,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_71) ).
thf(194,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
thf(145,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(113,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_113) ).
thf(199,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(96,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_96) ).
thf(177,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(105,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_105) ).
thf(182,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(61,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_61) ).
thf(154,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(124,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_124) ).
thf(175,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(110,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_110) ).
thf(143,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ~ ( big_p @ D )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(39,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_39) ).
thf(203,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(50,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_50) ).
thf(218,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ ( f2 @ C ) )
| ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(68,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_68) ).
thf(250,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(23,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
thf(231,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ D )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(74,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_74) ).
thf(158,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ B )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(17,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
thf(186,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(97,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_97) ).
thf(171,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ~ ( big_p @ D )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(37,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_37) ).
thf(139,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(66,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_66) ).
thf(207,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(48,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_48) ).
thf(214,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(75,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_75) ).
thf(235,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ( big_q @ B )
| ~ ( big_q @ c16 )
| ~ ( big_p @ C )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(79,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_79) ).
thf(246,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c19 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(106,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_106) ).
thf(151,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ~ ( big_q @ B )
| ~ ( big_p @ c15 )
| ~ ( big_q @ C )
| ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(38,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_38) ).
thf(168,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(46,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_46) ).
thf(146,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ C )
| ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(44,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_44) ).
thf(190,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(2,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(183,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ( big_q @ ( f2 @ D ) )
| ( big_q @ D )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(80,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_80) ).
thf(210,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c11 )
| ( big_p @ A )
| ( big_q @ c12 )
| ~ ( big_p @ c13 )
| ~ ( big_q @ ( f4 @ B ) )
| ~ ( big_q @ B )
| ~ ( big_p @ C )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(56,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_56) ).
thf(136,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ~ ( big_p @ D )
| ~ ( big_q @ c10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
thf(195,plain,
! [B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ ( f2 @ B ) )
| ~ ( big_q @ B )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(36,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
thf(239,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ c3 )
| ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ~ ( big_q @ ( f2 @ C ) )
| ~ ( big_q @ C )
| ( big_p @ c6 )
| ~ ( big_q @ c7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(19,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
thf(242,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f2 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(88,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_88) ).
thf(131,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ~ ( big_p @ E )
| ~ ( big_q @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(13,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
thf(178,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ~ ( big_q @ B )
| ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(117,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_117) ).
thf(163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ ( f4 @ C ) )
| ( big_q @ C )
| ( big_p @ c19 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(81,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_81) ).
thf(200,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ D )
| ( big_q @ c16 )
| ~ ( big_p @ E )
| ( big_q @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(63,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_63) ).
thf(215,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ~ ( big_p @ c5 )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(31,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
thf(222,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_p @ ( f1 @ A ) )
| ( big_q @ c1 )
| ~ ( big_p @ c2 )
| ( big_q @ B )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(55,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55) ).
thf(232,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c3 )
| ~ ( big_p @ A )
| ( big_q @ c4 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c8 )
| ( big_p @ c9 )
| ( big_q @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(100,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_100) ).
thf(254,plain,
! [C: $i,B: $i,A: $i] :
( ( big_p @ A )
| ( big_p @ ( f3 @ A ) )
| ( big_q @ c14 )
| ( big_p @ B )
| ( big_q @ C )
| ~ ( big_q @ c16 )
| ( big_p @ c17 )
| ~ ( big_q @ c18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(87,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_87) ).
thf(227,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( big_p @ c11 )
| ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_p @ C )
| ~ ( big_q @ ( f4 @ D ) )
| ~ ( big_q @ D )
| ( big_p @ c19 )
| ( big_q @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(406,plain,
$false,
inference(cvc4,[status(thm)],[150,138,249,234,170,217,247,202,142,153,174,185,184,196,157,189,152,228,216,164,179,238,211,253,147,221,132,133,243,206,233,248,201,220,160,192,137,165,229,252,197,224,156,188,169,141,256,225,193,212,173,129,134,237,244,205,166,148,161,180,149,176,191,204,144,236,181,159,187,172,219,230,245,208,140,213,155,198,240,251,130,223,135,226,241,167,162,255,209,194,145,199,177,182,154,175,143,203,218,250,231,158,186,171,139,207,214,235,246,151,168,146,190,183,210,136,195,239,242,131,178,163,200,215,222,232,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 19:27:04 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.85/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/0.99 % [INFO] Parsing done (189ms).
% 1.57/1.00 % [INFO] Running in sequential loop mode.
% 1.83/1.18 % [INFO] eprover registered as external prover.
% 1.83/1.18 % [INFO] cvc4 registered as external prover.
% 1.83/1.18 % [INFO] Scanning for conjecture ...
% 2.39/1.35 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.79/1.49 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.79/1.49 % [INFO] Problem is propositional (TPTP CNF).
% 2.79/1.50 % [INFO] Type checking passed.
% 2.79/1.50 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.91/2.40 % External prover 'cvc4' found a proof!
% 6.91/2.40 % [INFO] Killing All external provers ...
% 6.91/2.40 % Time passed: 1929ms (effective reasoning time: 1407ms)
% 6.91/2.40 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.91/2.41 % Axioms used in derivation (0):
% 6.91/2.41 % No. of inferences in proof: 257
% 6.91/2.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1929 ms resp. 1407 ms w/o parsing
% 6.94/2.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.94/2.49 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------