TSTP Solution File: SYN707-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN707-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 12:29:43 EDT 2023
% Result : Unsatisfiable 9.59s 2.85s
% Output : Refutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 141
% Syntax : Number of formulae : 250 ( 88 unt; 58 typ; 0 def)
% Number of atoms : 399 ( 20 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 2719 ( 214 ~; 191 |; 0 &;2314 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 63 >; 0 *; 0 +; 0 <<)
% Number of symbols : 61 ( 58 usr; 19 con; 0-2 aty)
% Number of variables : 278 ( 0 ^; 278 !; 0 ?; 278 :)
% Comments :
%------------------------------------------------------------------------------
thf(p38_type,type,
p38: $i > $o ).
thf(c56_type,type,
c56: $i ).
thf(p34_type,type,
p34: $i > $o ).
thf(p10_type,type,
p10: $i > $i > $o ).
thf(p9_type,type,
p9: $i > $i > $o ).
thf(p32_type,type,
p32: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p16_type,type,
p16: $i > $i > $o ).
thf(p12_type,type,
p12: $i > $i > $o ).
thf(p33_type,type,
p33: $i > $i > $o ).
thf(c54_type,type,
c54: $i ).
thf(c55_type,type,
c55: $i ).
thf(p35_type,type,
p35: $i > $i > $o ).
thf(c58_type,type,
c58: $i ).
thf(c57_type,type,
c57: $i ).
thf(p37_type,type,
p37: $i > $i > $o ).
thf(f15_type,type,
f15: $i > $i ).
thf(c48_type,type,
c48: $i ).
thf(p36_type,type,
p36: $i > $i > $o ).
thf(c47_type,type,
c47: $i ).
thf(p39_type,type,
p39: $i > $i > $o ).
thf(f18_type,type,
f18: $i > $i ).
thf(f19_type,type,
f19: $i > $i ).
thf(f17_type,type,
f17: $i > $i ).
thf(c59_type,type,
c59: $i ).
thf(p40_type,type,
p40: $i > $o ).
thf(f11_type,type,
f11: $i > $i ).
thf(f27_type,type,
f27: $i > $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f7_type,type,
f7: $i > $i ).
thf(f6_type,type,
f6: $i > $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(f31_type,type,
f31: $i > $i ).
thf(f26_type,type,
f26: $i > $i ).
thf(f28_type,type,
f28: $i > $i ).
thf(f24_type,type,
f24: $i > $i ).
thf(f23_type,type,
f23: $i > $i ).
thf(f22_type,type,
f22: $i > $i ).
thf(c43_type,type,
c43: $i ).
thf(c44_type,type,
c44: $i ).
thf(p41_type,type,
p41: $i > $i > $o ).
thf(p42_type,type,
p42: $i > $i > $o ).
thf(f13_type,type,
f13: $i > $i > $i ).
thf(f20_type,type,
f20: $i > $i > $i ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(f21_type,type,
f21: $i > $i > $i ).
thf(f25_type,type,
f25: $i > $i > $i ).
thf(f29_type,type,
f29: $i > $i > $i ).
thf(f30_type,type,
f30: $i > $i > $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(c45_type,type,
c45: $i ).
thf(c46_type,type,
c46: $i ).
thf(c52_type,type,
c52: $i ).
thf(c50_type,type,
c50: $i ).
thf(c53_type,type,
c53: $i ).
thf(c51_type,type,
c51: $i ).
thf(c49_type,type,
c49: $i ).
thf(12,negated_conjecture,
~ ( p35 @ c56 @ c57 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p35_12) ).
thf(129,plain,
~ ( p35 @ c56 @ c57 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(27,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f26 @ A ) @ ( f26 @ B ) )
| ~ ( p9 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_27) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f26 @ A ) @ ( f26 @ B ) )
| ~ ( p9 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(45,negated_conjecture,
p41 @ ( f5 @ c44 ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p41_45) ).
thf(119,plain,
p41 @ ( f5 @ c44 ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(35,negated_conjecture,
! [B: $i,A: $i] :
( ( p10 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p10 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_35) ).
thf(138,plain,
! [B: $i,A: $i] :
( ( p10 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p10 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(78,negated_conjecture,
p10 @ c51 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_78) ).
thf(101,plain,
p10 @ c51 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(66,negated_conjecture,
p10 @ c48 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_66) ).
thf(88,plain,
p10 @ c48 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(13,negated_conjecture,
p37 @ ( f15 @ c56 ) @ c48,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_13) ).
thf(115,plain,
p37 @ ( f15 @ c56 ) @ c48,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(64,negated_conjecture,
p38 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11_is_p38_64) ).
thf(120,plain,
p38 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(50,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p36 @ A @ B )
| ~ ( p10 @ C @ B )
| ~ ( p36 @ D @ C )
| ~ ( p10 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36_50) ).
thf(142,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p36 @ A @ B )
| ~ ( p10 @ C @ B )
| ~ ( p36 @ D @ C )
| ~ ( p10 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(8,negated_conjecture,
! [A: $i] : ( p16 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_8) ).
thf(153,plain,
! [A: $i] : ( p16 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(33,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f18 @ A ) @ ( f18 @ B ) )
| ~ ( p16 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_33) ).
thf(110,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f18 @ A ) @ ( f18 @ B ) )
| ~ ( p16 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(44,negated_conjecture,
p3 @ c43 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_44) ).
thf(125,plain,
p3 @ c43 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(54,negated_conjecture,
! [B: $i,A: $i] :
( ( p39 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p38 @ B )
| ~ ( p38 @ A )
| ~ ( p37 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_54) ).
thf(130,plain,
! [B: $i,A: $i] :
( ( p39 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p38 @ B )
| ~ ( p38 @ A )
| ~ ( p37 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(196,plain,
! [B: $i,A: $i] :
( ( p39 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p38 @ B )
| ~ ( p38 @ A )
| ~ ( p37 @ A @ B ) ),
inference(cnf,[status(esa)],[130]) ).
thf(36,negated_conjecture,
! [A: $i] :
( ( p16 @ ( f19 @ ( f15 @ A ) ) @ ( f28 @ ( f19 @ A ) ) )
| ~ ( p38 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_36) ).
thf(157,plain,
! [A: $i] :
( ( p16 @ ( f19 @ ( f15 @ A ) ) @ ( f28 @ ( f19 @ A ) ) )
| ~ ( p38 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(24,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f6 @ A ) @ ( f6 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_24) ).
thf(93,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f6 @ A ) @ ( f6 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(23,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).
thf(152,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(1,negated_conjecture,
p38 @ c56,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56_is_p38_1) ).
thf(104,plain,
p38 @ c56,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,negated_conjecture,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ~ ( p38 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_15) ).
thf(164,plain,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ~ ( p38 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(176,plain,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ~ ( p38 @ A ) ),
inference(cnf,[status(esa)],[164]) ).
thf(260,plain,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ( ( p38 @ c56 )
!= ( p38 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[104,176]) ).
thf(261,plain,
p38 @ ( f15 @ c56 ),
inference(pattern_uni,[status(thm)],[260:[bind(A,$thf( c56 ))]]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
thf(106,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ( p40 @ A )
| ~ ( p40 @ B )
| ~ ( p10 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_17) ).
thf(121,plain,
! [B: $i,A: $i] :
( ( p40 @ A )
| ~ ( p40 @ B )
| ~ ( p10 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(69,negated_conjecture,
~ ( p39 @ ( f28 @ ( f19 @ c56 ) ) @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_69) ).
thf(84,plain,
~ ( p39 @ ( f28 @ ( f19 @ c56 ) ) @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(72,negated_conjecture,
p39 @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_72) ).
thf(147,plain,
p39 @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(267,plain,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ( ( p38 @ ( f15 @ c56 ) )
!= ( p38 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[261,176]) ).
thf(268,plain,
p38 @ ( f15 @ ( f15 @ c56 ) ),
inference(pattern_uni,[status(thm)],[267:[bind(A,$thf( f15 @ c56 ))]]) ).
thf(279,plain,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ( ( p38 @ ( f15 @ ( f15 @ c56 ) ) )
!= ( p38 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[268,176]) ).
thf(280,plain,
p38 @ ( f15 @ ( f15 @ ( f15 @ c56 ) ) ),
inference(pattern_uni,[status(thm)],[279:[bind(A,$thf( f15 @ ( f15 @ c56 ) ))]]) ).
thf(81,negated_conjecture,
p42 @ ( f29 @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) @ ( f28 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_81) ).
thf(132,plain,
p42 @ ( f29 @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) @ ( f28 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(41,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_41) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(83,negated_conjecture,
p16 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) @ ( f21 @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ) @ ( f22 @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_83) ).
thf(89,plain,
p16 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) @ ( f21 @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ) @ ( f22 @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(76,negated_conjecture,
p10 @ c50 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_76) ).
thf(133,plain,
p10 @ c50 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(291,plain,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ( ( p38 @ ( f15 @ ( f15 @ ( f15 @ c56 ) ) ) )
!= ( p38 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[280,176]) ).
thf(292,plain,
p38 @ ( f15 @ ( f15 @ ( f15 @ ( f15 @ c56 ) ) ) ),
inference(pattern_uni,[status(thm)],[291:[bind(A,$thf( f15 @ ( f15 @ ( f15 @ c56 ) ) ))]]) ).
thf(73,negated_conjecture,
p2 @ ( f26 @ ( f27 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_73) ).
thf(117,plain,
p2 @ ( f26 @ ( f27 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p32 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_5) ).
thf(85,plain,
! [A: $i] : ( p32 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(29,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f24 @ A ) @ ( f24 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_29) ).
thf(102,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f24 @ A ) @ ( f24 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(19,negated_conjecture,
! [B: $i,A: $i] :
( ( p38 @ A )
| ~ ( p38 @ B )
| ~ ( p10 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_19) ).
thf(160,plain,
! [B: $i,A: $i] :
( ( p38 @ A )
| ~ ( p38 @ B )
| ~ ( p10 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(80,negated_conjecture,
p10 @ c47 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_80) ).
thf(137,plain,
p10 @ c47 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(68,negated_conjecture,
p38 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f20_is_p38_68) ).
thf(165,plain,
p38 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(42,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ C @ A )
| ~ ( p16 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_42) ).
thf(92,plain,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ C @ A )
| ~ ( p16 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(14,negated_conjecture,
~ ( p36 @ ( f15 @ c56 ) @ c47 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p36_14) ).
thf(97,plain,
~ ( p36 @ ( f15 @ c56 ) @ c47 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(82,negated_conjecture,
p39 @ ( f28 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) ) @ ( f29 @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f31 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_82) ).
thf(156,plain,
p39 @ ( f28 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) ) @ ( f29 @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f31 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) @ ( f30 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ( p34 @ A )
| ~ ( p34 @ B )
| ~ ( p10 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_18) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( p34 @ A )
| ~ ( p34 @ B )
| ~ ( p10 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(22,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
thf(124,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(52,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p39 @ A @ B )
| ~ ( p16 @ C @ B )
| ~ ( p39 @ D @ C )
| ~ ( p16 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_52) ).
thf(96,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p39 @ A @ B )
| ~ ( p16 @ C @ B )
| ~ ( p39 @ D @ C )
| ~ ( p16 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(21,negated_conjecture,
! [B: $i,A: $i] :
( ( p9 @ ( f27 @ A ) @ ( f27 @ B ) )
| ~ ( p10 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_21) ).
thf(109,plain,
! [B: $i,A: $i] :
( ( p9 @ ( f27 @ A ) @ ( f27 @ B ) )
| ~ ( p10 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(178,plain,
~ ( p39 @ ( f28 @ ( f19 @ c56 ) ) @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) ),
inference(polarity_switch,[status(thm)],[84]) ).
thf(219,plain,
! [B: $i,A: $i] :
( ~ ( p38 @ B )
| ~ ( p38 @ A )
| ~ ( p37 @ A @ B )
| ( ( p39 @ ( f19 @ A ) @ ( f19 @ B ) )
!= ( p39 @ ( f28 @ ( f19 @ c56 ) ) @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[196,178]) ).
thf(230,plain,
! [B: $i,A: $i] :
( ~ ( p38 @ B )
| ~ ( p38 @ A )
| ~ ( p37 @ A @ B )
| ( ( f19 @ A )
!= ( f28 @ ( f19 @ c56 ) ) )
| ( ( f19 @ B )
!= ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) ) ),
inference(simp,[status(thm)],[219]) ).
thf(234,plain,
! [B: $i,A: $i] :
( ~ ( p38 @ B )
| ~ ( p38 @ A )
| ( ( f19 @ A )
!= ( f28 @ ( f19 @ c56 ) ) )
| ( ( f19 @ B )
!= ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) )
| ( ( p37 @ ( f15 @ c56 ) @ c48 )
!= ( p37 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[115,230]) ).
thf(235,plain,
( ~ ( p38 @ c48 )
| ~ ( p38 @ ( f15 @ c56 ) )
| ( ( f28 @ ( f19 @ c56 ) )
!= ( f19 @ ( f15 @ c56 ) ) )
| ( ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) )
!= ( f19 @ c48 ) ) ),
inference(pattern_uni,[status(thm)],[234:[bind(A,$thf( f15 @ c56 )),bind(B,$thf( c48 ))]]) ).
thf(327,plain,
( ~ ( p38 @ c48 )
| ~ $true
| ( ( f28 @ ( f19 @ c56 ) )
!= ( f19 @ ( f15 @ c56 ) ) )
| ( ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) )
!= ( f19 @ c48 ) ) ),
inference(rewrite,[status(thm)],[235,261]) ).
thf(328,plain,
( ~ ( p38 @ c48 )
| ( ( f28 @ ( f19 @ c56 ) )
!= ( f19 @ ( f15 @ c56 ) ) )
| ( ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) )
!= ( f19 @ c48 ) ) ),
inference(simp,[status(thm)],[327]) ).
thf(7,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
thf(134,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(71,negated_conjecture,
p39 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_71) ).
thf(128,plain,
p39 @ ( f19 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ) ) @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(74,negated_conjecture,
p39 @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ) @ ( f25 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_74) ).
thf(105,plain,
p39 @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ) @ ( f25 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(62,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p2 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).
thf(166,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(43,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_43) ).
thf(148,plain,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p9 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_4) ).
thf(161,plain,
! [A: $i] : ( p9 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(40,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ B )
| ~ ( p3 @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_40) ).
thf(149,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ B )
| ~ ( p3 @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(2,negated_conjecture,
~ ( p34 @ c56 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56_is_not_p34_2) ).
thf(118,plain,
~ ( p34 @ c56 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,negated_conjecture,
p39 @ ( f18 @ ( f19 @ c56 ) ) @ ( f17 @ c59 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_16) ).
thf(144,plain,
p39 @ ( f18 @ ( f19 @ c56 ) ) @ ( f17 @ c59 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(65,negated_conjecture,
p10 @ c46 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_65) ).
thf(86,plain,
p10 @ c46 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p37 @ A @ B )
| ~ ( p10 @ C @ B )
| ~ ( p37 @ D @ C )
| ~ ( p10 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_51) ).
thf(159,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p37 @ A @ B )
| ~ ( p10 @ C @ B )
| ~ ( p37 @ D @ C )
| ~ ( p10 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(9,negated_conjecture,
! [A: $i] : ( p12 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
thf(113,plain,
! [A: $i] : ( p12 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(20,negated_conjecture,
! [B: $i,A: $i] :
( ( p10 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p9 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_20) ).
thf(98,plain,
! [B: $i,A: $i] :
( ( p10 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p9 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(11,negated_conjecture,
~ ( p35 @ c56 @ c58 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p35_11) ).
thf(146,plain,
~ ( p35 @ c56 @ c58 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(208,plain,
~ ( p35 @ c56 @ c58 ),
inference(polarity_switch,[status(thm)],[146]) ).
thf(61,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f30 @ A @ B ) @ ( f30 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_61) ).
thf(103,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f30 @ A @ B ) @ ( f30 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(63,negated_conjecture,
p3 @ c45 @ ( f4 @ ( f8 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) @ ( f5 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_63) ).
thf(140,plain,
p3 @ c45 @ ( f4 @ ( f8 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) @ ( f5 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(56,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p10 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_56) ).
thf(91,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p10 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(58,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f21 @ A @ B ) @ ( f21 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_58) ).
thf(155,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f21 @ A @ B ) @ ( f21 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(70,negated_conjecture,
p10 @ c52 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_70) ).
thf(108,plain,
p10 @ c52 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(39,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p32 @ A @ B )
| ~ ( p32 @ C @ A )
| ~ ( p32 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_39) ).
thf(135,plain,
! [C: $i,B: $i,A: $i] :
( ( p32 @ A @ B )
| ~ ( p32 @ C @ A )
| ~ ( p32 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(167,plain,
~ ( p35 @ c56 @ c57 ),
inference(polarity_switch,[status(thm)],[129]) ).
thf(79,negated_conjecture,
p10 @ c49 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) @ ( f5 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_79) ).
thf(162,plain,
p10 @ c49 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) @ ( f5 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(38,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_38) ).
thf(112,plain,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(34,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p12 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_34) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p12 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(31,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f22 @ A ) @ ( f22 @ B ) )
| ~ ( p16 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_31) ).
thf(145,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f22 @ A ) @ ( f22 @ B ) )
| ~ ( p16 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(26,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f31 @ A ) @ ( f31 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
thf(150,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f31 @ A ) @ ( f31 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(25,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_25) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(75,negated_conjecture,
p39 @ ( f21 @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_75) ).
thf(154,plain,
p39 @ ( f21 @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) @ ( f23 @ ( f24 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) @ ( f21 @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) @ ( f19 @ c56 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(67,negated_conjecture,
p40 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f20_is_p40_67) ).
thf(143,plain,
p40 @ ( f20 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) @ c56 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(46,negated_conjecture,
! [B: $i,A: $i] :
( ( p37 @ A @ B )
| ~ ( p38 @ A )
| ~ ( p38 @ B )
| ~ ( p39 @ ( f19 @ A ) @ ( f19 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_46) ).
thf(99,plain,
! [B: $i,A: $i] :
( ( p37 @ A @ B )
| ~ ( p38 @ A )
| ~ ( p38 @ B )
| ~ ( p39 @ ( f19 @ A ) @ ( f19 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(77,negated_conjecture,
p10 @ c53 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_77) ).
thf(87,plain,
p10 @ c53 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ ( f6 @ ( f7 @ c44 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(217,plain,
( ( p39 @ ( f28 @ ( f19 @ c56 ) ) @ ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) ) )
!= ( p39 @ ( f18 @ ( f19 @ c56 ) ) @ ( f17 @ c59 ) ) ),
inference(paramod_ordered,[status(thm)],[144,178]) ).
thf(218,plain,
( ( ( f28 @ ( f19 @ c56 ) )
!= ( f18 @ ( f19 @ c56 ) ) )
| ( ( f19 @ ( f11 @ ( f13 @ ( f5 @ c44 ) @ ( f14 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f6 @ ( f6 @ ( f7 @ ( f7 @ c44 ) ) ) ) ) ) ) ) @ ( f5 @ c44 ) ) ) ) )
!= ( f17 @ c59 ) ) ),
inference(simp,[status(thm)],[217]) ).
thf(303,plain,
! [A: $i] :
( ( p38 @ ( f15 @ A ) )
| ( ( p38 @ ( f15 @ ( f15 @ ( f15 @ ( f15 @ c56 ) ) ) ) )
!= ( p38 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[292,176]) ).
thf(304,plain,
p38 @ ( f15 @ ( f15 @ ( f15 @ ( f15 @ ( f15 @ c56 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[303:[bind(A,$thf( f15 @ ( f15 @ ( f15 @ ( f15 @ c56 ) ) ) ))]]) ).
thf(30,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f23 @ A ) @ ( f23 @ B ) )
| ~ ( p16 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_30) ).
thf(158,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f23 @ A ) @ ( f23 @ B ) )
| ~ ( p16 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(53,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p41 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p41 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p41_53) ).
thf(114,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p41 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p41 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(48,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p33 @ A @ B )
| ~ ( p32 @ C @ B )
| ~ ( p33 @ D @ C )
| ~ ( p32 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_48) ).
thf(139,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p33 @ A @ B )
| ~ ( p32 @ C @ B )
| ~ ( p33 @ D @ C )
| ~ ( p32 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(55,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p2 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_55) ).
thf(151,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(168,plain,
~ ( p34 @ c56 ),
inference(polarity_switch,[status(thm)],[118]) ).
thf(183,plain,
~ ( p36 @ ( f15 @ c56 ) @ c47 ),
inference(polarity_switch,[status(thm)],[97]) ).
thf(60,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f29 @ A @ B ) @ ( f29 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_60) ).
thf(107,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f29 @ A @ B ) @ ( f29 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(37,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_37) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(59,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f25 @ A @ B ) @ ( f25 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_59) ).
thf(126,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p16 @ ( f25 @ A @ B ) @ ( f25 @ C @ D ) )
| ~ ( p16 @ A @ C )
| ~ ( p16 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p10 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_3) ).
thf(136,plain,
! [A: $i] : ( p10 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(49,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p35 @ A @ B )
| ~ ( p10 @ C @ B )
| ~ ( p35 @ D @ C )
| ~ ( p10 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35_49) ).
thf(131,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p35 @ A @ B )
| ~ ( p10 @ C @ B )
| ~ ( p35 @ D @ C )
| ~ ( p10 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(47,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p42 @ A @ B )
| ~ ( p16 @ C @ B )
| ~ ( p42 @ D @ C )
| ~ ( p16 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p42_47) ).
thf(163,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p42 @ A @ B )
| ~ ( p16 @ C @ B )
| ~ ( p42 @ D @ C )
| ~ ( p16 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(32,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p10 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_32) ).
thf(122,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f19 @ A ) @ ( f19 @ B ) )
| ~ ( p10 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(57,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_57) ).
thf(100,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(10,negated_conjecture,
p33 @ c54 @ c55,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33_10) ).
thf(90,plain,
p33 @ c54 @ c55,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(28,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f28 @ A ) @ ( f28 @ B ) )
| ~ ( p16 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_28) ).
thf(111,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f28 @ A ) @ ( f28 @ B ) )
| ~ ( p16 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(420,plain,
$false,
inference(e,[status(thm)],[129,127,119,138,101,88,115,120,142,153,110,125,196,157,93,152,261,164,106,121,84,147,280,132,116,89,133,292,117,85,102,160,137,165,92,97,156,141,124,96,109,328,134,128,105,166,148,161,149,176,118,144,86,159,113,230,98,208,103,140,91,155,108,130,135,167,162,112,123,145,150,95,154,143,99,87,218,104,304,158,114,139,151,168,146,183,107,268,94,126,136,131,163,178,122,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN707-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n023.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 20:04:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.92/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.37/0.99 % [INFO] Parsing done (146ms).
% 1.37/1.00 % [INFO] Running in sequential loop mode.
% 1.79/1.18 % [INFO] eprover registered as external prover.
% 1.79/1.19 % [INFO] cvc4 registered as external prover.
% 1.79/1.19 % [INFO] Scanning for conjecture ...
% 2.05/1.33 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.40/1.40 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.40/1.40 % [INFO] Problem is propositional (TPTP CNF).
% 2.40/1.41 % [INFO] Type checking passed.
% 2.40/1.41 % [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 ...
% 9.59/2.85 % External prover 'e' found a proof!
% 9.59/2.85 % [INFO] Killing All external provers ...
% 9.59/2.85 % Time passed: 2328ms (effective reasoning time: 1847ms)
% 9.59/2.85 % 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)>
% 9.59/2.85 % Axioms used in derivation (0):
% 9.59/2.85 % No. of inferences in proof: 192
% 9.59/2.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2328 ms resp. 1847 ms w/o parsing
% 9.74/2.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.74/2.91 % [INFO] Killing All external provers ...
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