TSTP Solution File: SYN701-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 12:29:42 EDT 2023
% Result : Unsatisfiable 4.39s 2.00s
% Output : Refutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 121
% Syntax : Number of formulae : 196 ( 63 unt; 47 typ; 0 def)
% Number of atoms : 313 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1356 ( 166 ~; 164 |; 0 &;1026 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 47 usr; 16 con; 0-3 aty)
% Number of variables : 264 ( 0 ^; 264 !; 0 ?; 264 :)
% Comments :
%------------------------------------------------------------------------------
thf(p25_type,type,
p25: $i > $o ).
thf(c34_type,type,
c34: $i ).
thf(p29_type,type,
p29: $i > $o ).
thf(c36_type,type,
c36: $i ).
thf(p30_type,type,
p30: $i > $o ).
thf(f18_type,type,
f18: $i > $i ).
thf(c41_type,type,
c41: $i ).
thf(p28_type,type,
p28: $i > $o ).
thf(f16_type,type,
f16: $i > $i ).
thf(c38_type,type,
c38: $i ).
thf(c39_type,type,
c39: $i ).
thf(c40_type,type,
c40: $i ).
thf(p10_type,type,
p10: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p21_type,type,
p21: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p17_type,type,
p17: $i > $i > $o ).
thf(p14_type,type,
p14: $i > $i > $o ).
thf(p12_type,type,
p12: $i > $i > $o ).
thf(c44_type,type,
c44: $i ).
thf(c46_type,type,
c46: $i ).
thf(p31_type,type,
p31: $i > $i > $o ).
thf(c47_type,type,
c47: $i ).
thf(c42_type,type,
c42: $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(c35_type,type,
c35: $i ).
thf(p32_type,type,
p32: $i > $i > $o ).
thf(f22_type,type,
f22: $i > $i > $i ).
thf(c45_type,type,
c45: $i ).
thf(c48_type,type,
c48: $i ).
thf(c43_type,type,
c43: $i ).
thf(f23_type,type,
f23: $i > $i > $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(f20_type,type,
f20: $i > $i ).
thf(c37_type,type,
c37: $i ).
thf(p26_type,type,
p26: $i > $i > $i > $o ).
thf(f4_type,type,
f4: $i > $i ).
thf(f24_type,type,
f24: $i > $i ).
thf(p33_type,type,
p33: $i > $i > $o ).
thf(f11_type,type,
f11: $i > $i > $i ).
thf(p27_type,type,
p27: $i > $i > $o ).
thf(f19_type,type,
f19: $i > $i > $i ).
thf(f13_type,type,
f13: $i > $i > $i ).
thf(f15_type,type,
f15: $i > $i > $i ).
thf(30,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_30) ).
thf(142,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p6 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(55,negated_conjecture,
p2 @ ( f11 @ ( f4 @ ( f23 @ c44 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c43 ) @ ( f11 @ ( f4 @ c44 ) @ c43 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_55) ).
thf(137,plain,
p2 @ ( f11 @ ( f4 @ ( f23 @ c44 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c43 ) @ ( f11 @ ( f4 @ c44 ) @ c43 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(36,negated_conjecture,
! [B: $i,A: $i] :
( ( p17 @ ( f18 @ A ) @ ( f18 @ B ) )
| ~ ( p17 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_36) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( p17 @ ( f18 @ A ) @ ( f18 @ B ) )
| ~ ( p17 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(67,negated_conjecture,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c48 ) @ ( f11 @ ( f4 @ c47 ) @ c48 ) )
| ~ ( p31 @ A @ c42 )
| ~ ( p31 @ c47 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_67) ).
thf(129,plain,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c48 ) @ ( f11 @ ( f4 @ c47 ) @ c48 ) )
| ~ ( p31 @ A @ c42 )
| ~ ( p31 @ c47 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(62,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p3 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).
thf(148,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(12,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
thf(118,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,negated_conjecture,
p30 @ ( f18 @ c40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f18_is_p30_6) ).
thf(95,plain,
p30 @ ( f18 @ c40 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,negated_conjecture,
p31 @ c46 @ ( f5 @ c42 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_18) ).
thf(127,plain,
p31 @ c46 @ ( f5 @ c42 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(51,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p31 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p31 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_51) ).
thf(143,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p31 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p31 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(15,negated_conjecture,
! [A: $i] : ( p12 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_15) ).
thf(146,plain,
! [A: $i] : ( p12 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(31,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_31) ).
thf(131,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(23,negated_conjecture,
p31 @ ( f23 @ c44 @ ( f9 @ ( f20 @ c37 ) ) ) @ c46,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_23) ).
thf(138,plain,
p31 @ ( f23 @ c44 @ ( f9 @ ( f20 @ c37 ) ) ) @ c46,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(38,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_38) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(20,negated_conjecture,
p7 @ ( f8 @ c35 ) @ c36,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_20) ).
thf(88,plain,
p7 @ ( f8 @ c35 ) @ c36,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(59,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_59) ).
thf(115,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p10 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(49,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p33 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p33 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_49) ).
thf(120,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p33 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p33 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(17,negated_conjecture,
p31 @ c47 @ c42,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_17) ).
thf(110,plain,
p31 @ c47 @ c42,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(48,negated_conjecture,
! [A: $i] :
( ( p31 @ ( f24 @ A ) @ ( f5 @ c42 ) )
| ~ ( p31 @ A @ c44 )
| ~ ( p31 @ A @ ( f5 @ c42 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_48) ).
thf(125,plain,
! [A: $i] :
( ( p31 @ ( f24 @ A ) @ ( f5 @ c42 ) )
| ~ ( p31 @ A @ c44 )
| ~ ( p31 @ A @ ( f5 @ c42 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,negated_conjecture,
p25 @ c34,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34_is_p25_1) ).
thf(93,plain,
p25 @ c34,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(66,negated_conjecture,
! [A: $i] :
( ( p32 @ ( f22 @ c34 @ A ) @ c43 )
| ~ ( p33 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ A ) @ ( f11 @ ( f4 @ c42 ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_66) ).
thf(78,plain,
! [A: $i] :
( ( p32 @ ( f22 @ c34 @ A ) @ c43 )
| ~ ( p33 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ A ) @ ( f11 @ ( f4 @ c42 ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(73,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ C @ A ) ) @ ( f13 @ D @ E ) )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ F @ B ) ) @ ( f13 @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_73) ).
thf(106,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ C @ A ) ) @ ( f13 @ D @ E ) )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ F @ B ) ) @ ( f13 @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(7,negated_conjecture,
! [A: $i] : ( p10 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
thf(121,plain,
! [A: $i] : ( p10 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_37) ).
thf(84,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(68,negated_conjecture,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c43 ) @ ( f11 @ ( f4 @ c44 ) @ c43 ) )
| ~ ( p31 @ c44 @ A )
| ~ ( p31 @ A @ ( f5 @ c42 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_68) ).
thf(147,plain,
! [A: $i] :
( ( p2 @ ( f11 @ ( f4 @ A ) @ c43 ) @ ( f11 @ ( f4 @ c44 ) @ c43 ) )
| ~ ( p31 @ c44 @ A )
| ~ ( p31 @ A @ ( f5 @ c42 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(11,negated_conjecture,
! [A: $i] : ( p21 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_11) ).
thf(132,plain,
! [A: $i] : ( p21 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,negated_conjecture,
! [B: $i,A: $i] :
( ( p29 @ A )
| ~ ( p29 @ B )
| ~ ( p7 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_27) ).
thf(116,plain,
! [B: $i,A: $i] :
( ( p29 @ A )
| ~ ( p29 @ B )
| ~ ( p7 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(46,negated_conjecture,
p33 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ c45 ) @ ( f11 @ ( f4 @ c42 ) @ c45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_46) ).
thf(89,plain,
p33 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ c45 ) @ ( f11 @ ( f4 @ c42 ) @ c45 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(72,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p2 @ ( f11 @ ( f4 @ C ) @ A ) @ ( f9 @ c37 ) )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_72) ).
thf(133,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p2 @ ( f11 @ ( f4 @ C ) @ A ) @ ( f9 @ c37 ) )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(71,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ A @ B @ C )
| ~ ( p3 @ D @ C )
| ~ ( p3 @ E @ B )
| ~ ( p21 @ F @ A )
| ~ ( p26 @ F @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_71) ).
thf(117,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p26 @ A @ B @ C )
| ~ ( p3 @ D @ C )
| ~ ( p3 @ E @ B )
| ~ ( p21 @ F @ A )
| ~ ( p26 @ F @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(25,negated_conjecture,
! [B: $i,A: $i] :
( ( p25 @ A )
| ~ ( p25 @ B )
| ~ ( p21 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_25) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( p25 @ A )
| ~ ( p25 @ B )
| ~ ( p21 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(9,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
thf(102,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(61,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f19 @ A @ B ) @ ( f19 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
thf(92,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f19 @ A @ B ) @ ( f19 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(70,negated_conjecture,
! [A: $i] :
( ~ ( p31 @ A @ c44 )
| ~ ( p31 @ A @ ( f5 @ c42 ) )
| ~ ( p2 @ ( f11 @ ( f4 @ ( f24 @ A ) ) @ c43 ) @ ( f11 @ ( f4 @ A ) @ c43 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p31_70) ).
thf(97,plain,
! [A: $i] :
( ~ ( p31 @ A @ c44 )
| ~ ( p31 @ A @ ( f5 @ c42 ) )
| ~ ( p2 @ ( f11 @ ( f4 @ ( f24 @ A ) ) @ c43 ) @ ( f11 @ ( f4 @ A ) @ c43 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(64,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ ( f15 @ A @ B ) @ ( f15 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p7 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_64) ).
thf(109,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ ( f15 @ A @ B ) @ ( f15 @ C @ D ) )
| ~ ( p12 @ B @ D )
| ~ ( p7 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(35,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f20 @ A ) @ ( f20 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).
thf(124,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f20 @ A ) @ ( f20 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(65,negated_conjecture,
p2 @ ( f19 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ c43 ) @ ( f9 @ ( f20 @ c37 ) ) ) @ ( f11 @ ( f4 @ c42 ) @ c43 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_65) ).
thf(77,plain,
p2 @ ( f19 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ c43 ) @ ( f9 @ ( f20 @ c37 ) ) ) @ ( f11 @ ( f4 @ c42 ) @ c43 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(60,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f23 @ A @ B ) @ ( f23 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_60) ).
thf(96,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f23 @ A @ B ) @ ( f23 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(43,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p17 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_43) ).
thf(134,plain,
! [C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p17 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(50,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p27 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p27 @ C @ D )
| ~ ( p12 @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_50) ).
thf(128,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p27 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p27 @ C @ D )
| ~ ( p12 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(41,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p21 @ C @ A )
| ~ ( p21 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_41) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p21 @ C @ A )
| ~ ( p21 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(19,negated_conjecture,
p31 @ c44 @ ( f5 @ c42 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_19) ).
thf(144,plain,
p31 @ c44 @ ( f5 @ c42 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(52,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p32 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p32 @ C @ D )
| ~ ( p10 @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_52) ).
thf(86,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p32 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p32 @ C @ D )
| ~ ( p10 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(22,negated_conjecture,
p32 @ ( f22 @ c34 @ c45 ) @ c43,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_22) ).
thf(113,plain,
p32 @ ( f22 @ c34 @ c45 ) @ c43,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(56,negated_conjecture,
~ ( p2 @ ( f11 @ ( f4 @ c46 ) @ c43 ) @ ( f11 @ ( f4 @ ( f23 @ c44 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c43 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_56) ).
thf(81,plain,
~ ( p2 @ ( f11 @ ( f4 @ c46 ) @ c43 ) @ ( f11 @ ( f4 @ ( f23 @ c44 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c43 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(5,negated_conjecture,
p28 @ ( f16 @ c39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f16_is_p28_5) ).
thf(76,plain,
p28 @ ( f16 @ c39 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,negated_conjecture,
p32 @ ( f22 @ c34 @ c45 ) @ c48,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_21) ).
thf(98,plain,
p32 @ ( f22 @ c34 @ c45 ) @ c48,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(53,negated_conjecture,
p2 @ ( f11 @ ( f4 @ c47 ) @ c48 ) @ ( f19 @ ( f11 @ ( f4 @ c42 ) @ c48 ) @ ( f9 @ ( f20 @ c37 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_53) ).
thf(103,plain,
p2 @ ( f11 @ ( f4 @ c47 ) @ c48 ) @ ( f19 @ ( f11 @ ( f4 @ c42 ) @ c48 ) @ ( f9 @ ( f20 @ c37 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(58,negated_conjecture,
! [A: $i] :
( ( p10 @ A @ c43 )
| ~ ( p31 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ A ) @ ( f11 @ ( f4 @ c42 ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_58) ).
thf(140,plain,
! [A: $i] :
( ( p10 @ A @ c43 )
| ~ ( p31 @ ( f11 @ ( f4 @ ( f5 @ c42 ) ) @ A ) @ ( f11 @ ( f4 @ c42 ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(29,negated_conjecture,
! [B: $i,A: $i] :
( ( p14 @ ( f16 @ A ) @ ( f16 @ B ) )
| ~ ( p14 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_29) ).
thf(91,plain,
! [B: $i,A: $i] :
( ( p14 @ ( f16 @ A ) @ ( f16 @ B ) )
| ~ ( p14 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(45,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_45) ).
thf(108,plain,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(16,negated_conjecture,
p2 @ c44 @ c46,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
thf(130,plain,
p2 @ c44 @ c46,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(40,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_40) ).
thf(135,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(10,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_10) ).
thf(80,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(34,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f24 @ A ) @ ( f24 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
thf(112,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f24 @ A ) @ ( f24 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(3,negated_conjecture,
p30 @ ( f18 @ c41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f18_is_p30_3) ).
thf(123,plain,
p30 @ ( f18 @ c41 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(47,negated_conjecture,
! [A: $i] :
( ( p31 @ A @ ( f24 @ A ) )
| ~ ( p31 @ A @ c44 )
| ~ ( p31 @ A @ ( f5 @ c42 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_47) ).
thf(145,plain,
! [A: $i] :
( ( p31 @ A @ ( f24 @ A ) )
| ~ ( p31 @ A @ c44 )
| ~ ( p31 @ A @ ( f5 @ c42 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(33,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_33) ).
thf(99,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(14,negated_conjecture,
! [A: $i] : ( p14 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_14) ).
thf(87,plain,
! [A: $i] : ( p14 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(13,negated_conjecture,
! [A: $i] : ( p17 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_13) ).
thf(104,plain,
! [A: $i] : ( p17 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(44,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p14 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_44) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p14 @ C @ A )
| ~ ( p14 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(8,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_8) ).
thf(139,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(69,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ( p32 @ ( f22 @ c34 @ A ) @ B )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_69) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ( p32 @ ( f22 @ c34 @ A ) @ B )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(54,negated_conjecture,
p33 @ ( f11 @ ( f4 @ c42 ) @ c45 ) @ ( f11 @ ( f4 @ ( f23 @ c42 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33_54) ).
thf(119,plain,
p33 @ ( f11 @ ( f4 @ c42 ) @ c45 ) @ ( f11 @ ( f4 @ ( f23 @ c42 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c45 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(42,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_42) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(2,negated_conjecture,
p29 @ c36,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c36_is_p29_2) ).
thf(107,plain,
p29 @ c36,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
p28 @ ( f16 @ c38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f16_is_p28_4) ).
thf(79,plain,
p28 @ ( f16 @ c38 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(74,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p32 @ ( f22 @ c34 @ A ) @ B )
| ( p31 @ ( f11 @ ( f4 @ C ) @ B ) @ ( f11 @ ( f4 @ D ) @ B ) )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_74) ).
thf(94,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p32 @ ( f22 @ c34 @ A ) @ B )
| ( p31 @ ( f11 @ ( f4 @ C ) @ B ) @ ( f11 @ ( f4 @ D ) @ B ) )
| ~ ( p27 @ ( f15 @ c36 @ ( f13 @ A @ C ) ) @ ( f13 @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(63,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ ( f22 @ A @ B ) @ ( f22 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p21 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_63) ).
thf(126,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ ( f22 @ A @ B ) @ ( f22 @ C @ D ) )
| ~ ( p10 @ B @ D )
| ~ ( p21 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(26,negated_conjecture,
! [B: $i,A: $i] :
( ( p30 @ A )
| ~ ( p30 @ B )
| ~ ( p17 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_26) ).
thf(136,plain,
! [B: $i,A: $i] :
( ( p30 @ A )
| ~ ( p30 @ B )
| ~ ( p17 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(39,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_39) ).
thf(122,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(24,negated_conjecture,
! [A: $i] : ( p26 @ c34 @ ( f4 @ ( f5 @ A ) ) @ ( f4 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_24) ).
thf(83,plain,
! [A: $i] : ( p26 @ c34 @ ( f4 @ ( f5 @ A ) ) @ ( f4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(28,negated_conjecture,
! [B: $i,A: $i] :
( ( p28 @ A )
| ~ ( p28 @ B )
| ~ ( p14 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28_28) ).
thf(100,plain,
! [B: $i,A: $i] :
( ( p28 @ A )
| ~ ( p28 @ B )
| ~ ( p14 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(57,negated_conjecture,
~ ( p2 @ ( f11 @ ( f4 @ ( f23 @ c47 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c48 ) @ ( f11 @ ( f4 @ c47 ) @ c48 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_57) ).
thf(90,plain,
~ ( p2 @ ( f11 @ ( f4 @ ( f23 @ c47 @ ( f9 @ ( f20 @ c37 ) ) ) ) @ c48 ) @ ( f11 @ ( f4 @ c47 ) @ c48 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(32,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_32) ).
thf(111,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(194,plain,
$false,
inference(e,[status(thm)],[142,137,141,129,148,118,95,127,143,146,131,138,101,88,115,120,110,125,93,78,106,121,84,147,132,116,89,133,117,85,102,92,97,109,124,77,96,134,128,105,144,86,113,81,76,98,103,140,91,108,130,135,80,112,123,145,99,87,104,114,139,75,119,82,107,79,94,126,136,122,83,100,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:47:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.94/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.00 % [INFO] Parsing done (147ms).
% 1.32/1.01 % [INFO] Running in sequential loop mode.
% 1.85/1.22 % [INFO] eprover registered as external prover.
% 1.85/1.22 % [INFO] cvc4 registered as external prover.
% 1.85/1.23 % [INFO] Scanning for conjecture ...
% 2.36/1.36 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.60/1.44 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.60/1.45 % [INFO] Problem is propositional (TPTP CNF).
% 2.60/1.45 % [INFO] Type checking passed.
% 2.60/1.45 % [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 ...
% 4.39/2.00 % External prover 'e' found a proof!
% 4.39/2.00 % [INFO] Killing All external provers ...
% 4.39/2.00 % Time passed: 1475ms (effective reasoning time: 990ms)
% 4.39/2.00 % 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)>
% 4.39/2.00 % Axioms used in derivation (0):
% 4.39/2.00 % No. of inferences in proof: 149
% 4.39/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1475 ms resp. 990 ms w/o parsing
% 4.98/2.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.98/2.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------