TSTP Solution File: LCL096-10 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL096-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.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 : Mon Jun 24 11:24:09 EDT 2024
% Result : Unsatisfiable 1.86s 0.66s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 99 ( 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1522,plain,
$false,
inference(subsumption_resolution,[],[f6,f1521]) ).
fof(f1521,plain,
! [X2,X3,X0] : true = is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),
inference(forward_demodulation,[],[f1471,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1471,plain,
! [X2,X3,X0] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X0,X0),X2)),X3),X3)),true),
inference(superposition,[],[f256,f297]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3))),X4),X4)),
inference(forward_demodulation,[],[f275,f1]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X1),X3))),X4),X4)),true),
inference(superposition,[],[f16,f56]) ).
fof(f56,plain,
! [X2,X3,X0,X1,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X5),X4),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X5),X4))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X5),X4),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X5),X4))),true),
inference(superposition,[],[f20,f4]) ).
fof(f4,axiom,
! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6)),X7),X7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f20,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true),true),
inference(superposition,[],[f2,f5]) ).
fof(f5,axiom,
! [X3,X6,X7,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),X5),X6),equivalent(equivalent(equivalent(X3,X7),X5),equivalent(equivalent(X4,X7),X6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2,axiom,
! [X3,X4] : true = ifeq(is_a_theorem(equivalent(X3,X4)),true,ifeq(is_a_theorem(X3),true,is_a_theorem(X4),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,is_a_theorem(X5),true),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true),
inference(superposition,[],[f2,f4]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),
inference(forward_demodulation,[],[f237,f1]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),true),
inference(superposition,[],[f2,f36]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),X3),equivalent(equivalent(equivalent(X1,X2),X4),X3))),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X4),X3),equivalent(equivalent(equivalent(X1,X2),X4),X3))),true),
inference(superposition,[],[f11,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,is_a_theorem(X4),true),
inference(forward_demodulation,[],[f9,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X3,X6,X4,X5] : true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),equivalent(X4,X5)),X6),X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6,axiom,
true != is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL096-10 : TPTP v8.2.0. Released v7.3.0.
% 0.04/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jun 22 16:22:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.20/0.36 Running first-order theorem proving
% 0.20/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (29410)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (3000ds/140Mi)
% 0.20/0.43 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (29412)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (3000ds/1122Mi)
% 0.20/0.43 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (29409)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (3000ds/107Mi)
% 0.20/0.43 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (29413)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (3000ds/313Mi)
% 0.20/0.43 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (29411)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (3000ds/401Mi)
% 0.20/0.43 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (29408)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (3000ds/224446Mi)
% 0.20/0.43 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (29407)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (3000ds/125345Mi)
% 0.23/0.50 % (29409)Instruction limit reached!
% 0.23/0.50 % (29409)------------------------------
% 0.23/0.50 % (29409)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50 % (29409)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50 % (29409)Termination reason: Time limit
% 0.23/0.50 % (29409)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (29409)Memory used [KB]: 2122
% 0.23/0.50 % (29409)Time elapsed: 0.068 s
% 0.23/0.50 % (29409)Instructions burned: 108 (million)
% 0.23/0.51 % (29410)Instruction limit reached!
% 0.23/0.51 % (29410)------------------------------
% 0.23/0.51 % (29410)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51 % (29410)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51 % (29410)Termination reason: Time limit
% 0.23/0.51 % (29410)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (29410)Memory used [KB]: 2312
% 0.23/0.51 % (29410)Time elapsed: 0.082 s
% 0.23/0.51 % (29410)Instructions burned: 142 (million)
% 0.23/0.53 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.53 % (29437)dis+10_1:9_bsr=unit_only:slsqr=31,32:sil=256000:tgt=full:urr=on:slsqc=2:slsq=on:i=1149:s2at=5.0:slsql=off:ins=1:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2998ds/1149Mi)
% 0.23/0.55 % (29406)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.55 % (29440)lrs+10_1:10_drc=encompass:sil=2000:tgt=ground:plsq=on:plsqr=92626939,1048576:sp=occurrence:fd=preordered:i=1914:kws=precedence:ins=8:rawr=on_0 on theBenchmark for (2998ds/1914Mi)
% 0.23/0.55 % (29413)Instruction limit reached!
% 0.23/0.55 % (29413)------------------------------
% 0.23/0.55 % (29413)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.55 % (29413)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.55 % (29413)Termination reason: Time limit
% 0.23/0.55 % (29413)Termination phase: Saturation
% 0.23/0.55
% 0.23/0.55 % (29413)Memory used [KB]: 4625
% 0.23/0.55 % (29413)Time elapsed: 0.121 s
% 0.23/0.55 % (29413)Instructions burned: 314 (million)
% 1.56/0.60 % (29411)Instruction limit reached!
% 1.56/0.60 % (29411)------------------------------
% 1.56/0.60 % (29411)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.56/0.60 % (29411)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.56/0.60 % (29411)Termination reason: Time limit
% 1.56/0.60 % (29411)Termination phase: Saturation
% 1.56/0.60
% 1.56/0.60 % (29411)Memory used [KB]: 4339
% 1.56/0.60 % (29411)Time elapsed: 0.165 s
% 1.56/0.60 % (29411)Instructions burned: 401 (million)
% 1.56/0.60 % (29406)Running in auto input_syntax mode. Trying TPTP
% 1.56/0.60 % (29441)lrs+10_16:1_bsr=on:drc=encompass:sil=64000:i=281:bd=off:to=lpo_0 on theBenchmark for (2998ds/281Mi)
% 1.86/0.64 % (29406)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.64 % (29442)lrs+10_1:64_drc=encompass:sil=2000:fde=none:sp=reverse_arity:s2a=on:i=1826:ins=2:dpc=on:awrs=decay:awrsf=200_0 on theBenchmark for (2997ds/1826Mi)
% 1.86/0.65 % (29441)First to succeed.
% 1.86/0.65 % (29441)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29406"
% 1.86/0.66 % (29406)Running in auto input_syntax mode. Trying TPTP
% 1.86/0.66 % (29441)Refutation found. Thanks to Tanya!
% 1.86/0.66 % SZS status Unsatisfiable for theBenchmark
% 1.86/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.66 % (29441)------------------------------
% 1.86/0.66 % (29441)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.86/0.66 % (29441)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.86/0.66 % (29441)Termination reason: Refutation
% 1.86/0.66
% 1.86/0.66 % (29441)Memory used [KB]: 2579
% 1.86/0.66 % (29441)Time elapsed: 0.056 s
% 1.86/0.66 % (29441)Instructions burned: 167 (million)
% 1.86/0.66 % (29441)------------------------------
% 1.86/0.66 % (29441)------------------------------
% 1.86/0.66 % (29406)Success in time 0.293 s
%------------------------------------------------------------------------------