TSTP Solution File: SYN645-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN645-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 12:29:32 EDT 2023
% Result : Unsatisfiable 3.56s 1.83s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 73
% Syntax : Number of formulae : 116 ( 23 unt; 31 typ; 0 def)
% Number of atoms : 223 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1290 ( 134 ~; 138 |; 0 &;1018 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 31 usr; 8 con; 0-5 aty)
% Number of variables : 246 ( 0 ^; 246 !; 0 ?; 246 :)
% Comments :
%------------------------------------------------------------------------------
thf(p12_type,type,
p12: $i > $i > $o ).
thf(p9_type,type,
p9: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p15_type,type,
p15: $i > $i > $o ).
thf(p22_type,type,
p22: $i > $i > $o ).
thf(f3_type,type,
f3: $i > $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(c26_type,type,
c26: $i ).
thf(c27_type,type,
c27: $i ).
thf(p24_type,type,
p24: $i > $o ).
thf(p23_type,type,
p23: $i > $i > $o ).
thf(c28_type,type,
c28: $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(f10_type,type,
f10: $i > $i > $i ).
thf(c29_type,type,
c29: $i ).
thf(f11_type,type,
f11: $i > $i > $i ).
thf(c30_type,type,
c30: $i ).
thf(f13_type,type,
f13: $i > $i ).
thf(f19_type,type,
f19: $i > $i ).
thf(f16_type,type,
f16: $i > $i > $i > $i ).
thf(c32_type,type,
c32: $i ).
thf(c31_type,type,
c31: $i ).
thf(p25_type,type,
p25: $i > $i > $o ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(f17_type,type,
f17: $i > $i > $i ).
thf(f20_type,type,
f20: $i > $i > $i ).
thf(f18_type,type,
f18: $i > $i > $i ).
thf(f21_type,type,
f21: $i > $i > $i > $i > $i > $i ).
thf(32,negated_conjecture,
~ ( p24 @ ( f17 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ ( f16 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ c32 @ c31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f17_is_not_p24_32) ).
thf(69,plain,
~ ( p24 @ ( f17 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ ( f16 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ c32 @ c31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(42,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ~ ( p25 @ ( f13 @ ( f14 @ E @ A ) ) @ ( f13 @ ( f14 @ E @ ( f21 @ B @ C @ D @ E @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_42) ).
thf(56,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ~ ( p25 @ ( f13 @ ( f14 @ E @ A ) ) @ ( f13 @ ( f14 @ E @ ( f21 @ B @ C @ D @ E @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p12 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p12 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( p12 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p12 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_19) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(34,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f16 @ A @ B @ C ) @ ( f16 @ D @ E @ F ) )
| ~ ( p15 @ B @ E )
| ~ ( p6 @ A @ D )
| ~ ( p12 @ C @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_34) ).
thf(70,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f16 @ A @ B @ C ) @ ( f16 @ D @ E @ F ) )
| ~ ( p15 @ B @ E )
| ~ ( p6 @ A @ D )
| ~ ( p12 @ C @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(38,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ ( f13 @ ( f14 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ A ) ) ) @ ( f18 @ ( f20 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ A ) @ ( f19 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_38) ).
thf(65,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ ( f13 @ ( f14 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ A ) ) ) @ ( f18 @ ( f20 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ A ) @ ( f19 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ( p24 @ A )
| ~ ( p24 @ B )
| ~ ( p2 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_8) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( p24 @ A )
| ~ ( p24 @ B )
| ~ ( p2 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
thf(77,plain,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ c27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_7) ).
thf(73,plain,
p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ c27,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
thf(66,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p12 @ A @ C )
| ~ ( p12 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_26) ).
thf(80,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p12 @ A @ C )
| ~ ( p12 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
thf(55,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_18) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(40,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ A ) )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ~ ( p25 @ ( f13 @ ( f14 @ E @ A ) ) @ ( f13 @ ( f14 @ E @ ( f21 @ B @ C @ D @ E @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_40) ).
thf(79,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ A ) )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ~ ( p25 @ ( f13 @ ( f14 @ E @ A ) ) @ ( f13 @ ( f14 @ E @ ( f21 @ B @ C @ D @ E @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p6 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_30) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p6 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p12 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_1) ).
thf(46,plain,
! [A: $i] : ( p12 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p22 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p22 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_24) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p22 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p22 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p12 @ A @ C )
| ~ ( p12 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_31) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p12 @ A @ C )
| ~ ( p12 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f17 @ A @ B ) @ ( f17 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p6 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_29) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f17 @ A @ B ) @ ( f17 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p6 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(39,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ( p23 @ ( f21 @ B @ C @ D @ E @ A ) @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ A ) )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_39) ).
thf(74,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ( p23 @ ( f21 @ B @ C @ D @ E @ A ) @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ A ) )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p9 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_28) ).
thf(64,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p9 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_10) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B )
| ~ ( p23 @ C @ D )
| ~ ( p7 @ D @ B )
| ~ ( p12 @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_25) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B )
| ~ ( p23 @ C @ D )
| ~ ( p7 @ D @ B )
| ~ ( p12 @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(22,negated_conjecture,
~ ( p12 @ c28 @ ( f16 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ c32 @ c31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_22) ).
thf(71,plain,
~ ( p12 @ c28 @ ( f16 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ c32 @ c31 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
thf(54,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p9 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(49,plain,
! [A: $i] : ( p9 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ A @ B )
| ~ ( p12 @ C @ B )
| ~ ( p25 @ D @ C )
| ~ ( p12 @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
thf(81,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ A @ B )
| ~ ( p12 @ C @ B )
| ~ ( p25 @ D @ C )
| ~ ( p12 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f16 @ ( f10 @ A @ ( f11 @ B @ C ) ) @ c32 @ D ) @ ( f8 @ ( f10 @ A @ ( f11 @ B @ C ) ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f16 @ ( f10 @ A @ ( f11 @ B @ C ) ) @ c32 @ D ) @ ( f8 @ ( f10 @ A @ ( f11 @ B @ C ) ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,negated_conjecture,
p23 @ c28 @ ( f8 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_9) ).
thf(48,plain,
p23 @ c28 @ ( f8 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(33,negated_conjecture,
p12 @ ( f13 @ ( f14 @ c31 @ c28 ) ) @ ( f13 @ ( f14 @ c31 @ ( f16 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ c32 @ c31 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_33) ).
thf(63,plain,
p12 @ ( f13 @ ( f14 @ c31 @ c28 ) ) @ ( f13 @ ( f14 @ c31 @ ( f16 @ ( f10 @ c29 @ ( f11 @ c27 @ c30 ) ) @ c32 @ c31 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( p12 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_12) ).
thf(50,plain,
! [B: $i,A: $i] :
( ( p12 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(41,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ( p23 @ ( f21 @ B @ C @ D @ E @ A ) @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_41) ).
thf(67,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) )
| ( p23 @ ( f21 @ B @ C @ D @ E @ A ) @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) )
| ( p24 @ ( f17 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ E ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p23 @ A @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_27) ).
thf(72,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(43,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
thf(75,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(37,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ ( f13 @ ( f14 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ A ) ) ) @ ( f13 @ ( f14 @ A @ E ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p23 @ E @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_37) ).
thf(58,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p25 @ ( f13 @ ( f14 @ A @ ( f16 @ ( f10 @ B @ ( f11 @ C @ D ) ) @ c32 @ A ) ) ) @ ( f13 @ ( f14 @ A @ E ) ) )
| ~ ( p22 @ ( f3 @ ( f4 @ ( f5 @ c26 ) ) ) @ C )
| ~ ( p23 @ E @ ( f8 @ ( f10 @ B @ ( f11 @ C @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(36,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f21 @ A @ B @ C @ D @ E ) @ ( f21 @ F @ G @ H @ I @ J ) )
| ~ ( p2 @ B @ G )
| ~ ( p2 @ C @ H )
| ~ ( p12 @ D @ I )
| ~ ( p12 @ E @ J )
| ~ ( p2 @ A @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_36) ).
thf(82,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f21 @ A @ B @ C @ D @ E ) @ ( f21 @ F @ G @ H @ I @ J ) )
| ~ ( p2 @ B @ G )
| ~ ( p2 @ C @ H )
| ~ ( p12 @ D @ I )
| ~ ( p12 @ E @ J )
| ~ ( p2 @ A @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p15 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).
thf(47,plain,
! [A: $i] : ( p15 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_17) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_21) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(118,plain,
$false,
inference(e,[status(thm)],[69,56,52,84,60,70,65,53,77,73,66,80,55,51,79,83,46,57,78,61,74,45,64,44,59,71,54,49,81,76,48,63,50,67,72,43,75,58,82,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : SYN645-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.11 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 18 19:39:35 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.80/0.76 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.00/0.91 % [INFO] Parsing done (144ms).
% 1.00/0.92 % [INFO] Running in sequential loop mode.
% 1.60/1.15 % [INFO] eprover registered as external prover.
% 1.60/1.15 % [INFO] cvc4 registered as external prover.
% 1.60/1.15 % [INFO] Scanning for conjecture ...
% 1.93/1.27 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.15/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.15/1.35 % [INFO] Problem is propositional (TPTP CNF).
% 2.15/1.35 % [INFO] Type checking passed.
% 2.15/1.35 % [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 ...
% 3.56/1.82 % External prover 'e' found a proof!
% 3.56/1.82 % [INFO] Killing All external provers ...
% 3.56/1.82 % Time passed: 1395ms (effective reasoning time: 898ms)
% 3.56/1.82 % 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)>
% 3.56/1.83 % Axioms used in derivation (0):
% 3.56/1.83 % No. of inferences in proof: 85
% 3.56/1.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1395 ms resp. 898 ms w/o parsing
% 3.69/1.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.69/1.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------