%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL010-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:50:55 AM UTC 2026
% Result : Unsatisfiable 10.21s 2.59s
% Output : Refutation 10.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 32 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqf) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yql) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X3,X1))))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X3,X1)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X1,X2)),equivalent(equivalent(X0,X3),equivalent(X3,X2)))),
inference(resolution,[],[f7,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,X3))),equivalent(equivalent(equivalent(X1,X3),X4),equivalent(X4,X0)))),
inference(resolution,[],[f7,f5]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2))) ),
inference(resolution,[],[f8,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2))) ),
inference(resolution,[],[f12,f1]) ).
fof(f16,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(a,b)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(equivalent(c,b),equivalent(a,c))))) ),
inference(resolution,[],[f15,f3]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X3),equivalent(X3,equivalent(a,b))))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(equivalent(c,b),equivalent(a,c))))) ),
inference(resolution,[],[f16,f15]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,equivalent(equivalent(c,b),equivalent(a,c)))))
| ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X3,equivalent(X0,X4)))
| ~ is_a_theorem(equivalent(equivalent(X3,X5),equivalent(X5,equivalent(X4,equivalent(a,b))))) ),
inference(resolution,[],[f21,f15]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,equivalent(X0,X3)))
| ~ is_a_theorem(equivalent(equivalent(X2,X4),equivalent(X4,equivalent(X3,equivalent(a,b)))))
| ~ is_a_theorem(equivalent(X5,equivalent(X1,X6)))
| ~ is_a_theorem(equivalent(equivalent(X5,X7),equivalent(X7,equivalent(X6,equivalent(equivalent(c,b),equivalent(a,c)))))) ),
inference(resolution,[],[f25,f15]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X5,X8),equivalent(X8,equivalent(X7,equivalent(equivalent(c,b),equivalent(a,c))))))
| ~ is_a_theorem(equivalent(equivalent(X0,X4),equivalent(X4,equivalent(X3,equivalent(a,b)))))
| ~ is_a_theorem(equivalent(X5,equivalent(equivalent(equivalent(X1,X6),equivalent(X6,X2)),X7)))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3))) ),
inference(resolution,[],[f29,f2]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X3,X3),equivalent(equivalent(equivalent(X4,X5),equivalent(X5,X6)),equivalent(equivalent(c,b),equivalent(a,c)))))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X2,equivalent(a,b)))))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X4,X6),X2))) ),
inference(resolution,[],[f50,f8]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X2,equivalent(a,b)))))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(a,b),X2))) ),
inference(resolution,[],[f96,f8]) ).
fof(f147,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,b),equivalent(X0,X0)))),
inference(resolution,[],[f9,f113]) ).
fof(f161,plain,
$false,
inference(resolution,[],[f147,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n011.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 15:17:00 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.63/2.36 % (2537067)Input is clausal, will run a generic CNF schedule.
% 9.63/2.36 % (2537076)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=837467309:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 9.63/2.36 % (2537073)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=749431613:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 9.63/2.36 % (2537075)lrs+10_1_sil=8000:sp=occurrence:random_seed=3088649711:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 9.63/2.36 % (2537072)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3353616886:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 9.63/2.36 % (2537074)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1322600557:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 9.63/2.36 % (2537078)dis-21_1_sil=8000:lcm=predicate:random_seed=480697515:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 9.63/2.36 % (2537077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1232443139:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 9.63/2.36 % (2537078)Instruction limit reached!
% 9.63/2.36 % (2537078)------------------------------
% 9.63/2.36 % (2537078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.36 % (2537078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.36 % (2537078)CaDiCaL version: 2.1.3
% 9.63/2.36 % (2537078)Termination reason: Instruction limit
% 9.63/2.36 % (2537078)Termination phase: Saturation
% 9.63/2.36 % (2537078)Time elapsed: 0.058 s
% 9.63/2.36 % (2537078)Peak memory usage: 88 MB
% 9.63/2.36 % (2537078)Instructions burned: 118 (million)
% 9.63/2.36 % (2537076)Instruction limit reached!
% 9.63/2.36 % (2537076)------------------------------
% 9.63/2.36 % (2537076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.36 % (2537076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.36 % (2537076)CaDiCaL version: 2.1.3
% 9.63/2.36 % (2537076)Termination reason: Instruction limit
% 9.63/2.36 % (2537076)Termination phase: Saturation
% 9.63/2.36 % (2537076)Time elapsed: 0.098 s
% 9.63/2.36 % (2537076)Peak memory usage: 88 MB
% 9.63/2.36 % (2537076)Instructions burned: 114 (million)
% 9.63/2.36 % (2537075)Instruction limit reached!
% 9.63/2.36 % (2537075)------------------------------
% 9.63/2.36 % (2537075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.36 % (2537075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.36 % (2537075)CaDiCaL version: 2.1.3
% 9.63/2.36 % (2537075)Termination reason: Instruction limit
% 9.63/2.36 % (2537075)Termination phase: Saturation
% 9.63/2.36 % (2537075)Time elapsed: 0.110 s
% 9.63/2.36 % (2537075)Peak memory usage: 88 MB
% 9.63/2.36 % (2537075)Instructions burned: 107 (million)
% 9.63/2.36 % (2537077)Instruction limit reached!
% 9.63/2.36 % (2537077)------------------------------
% 9.63/2.36 % (2537077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.36 % (2537077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.36 % (2537077)CaDiCaL version: 2.1.3
% 9.63/2.36 % (2537077)Termination reason: Instruction limit
% 9.63/2.36 % (2537077)Termination phase: Saturation
% 9.63/2.36 % (2537077)Time elapsed: 0.184 s
% 9.63/2.36 % (2537077)Peak memory usage: 89 MB
% 9.63/2.36 % (2537077)Instructions burned: 181 (million)
% 9.63/2.36 % (2537086)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3007335932:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.63/2.36 % (2537086)Refutation not found, incomplete strategy
% 9.63/2.36 % (2537086)------------------------------
% 9.63/2.36 % (2537086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.36 % (2537086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.36 % (2537086)CaDiCaL version: 2.1.3
% 9.63/2.36 % (2537086)Termination reason: Refutation not found, incomplete strategy
% 9.63/2.36 % (2537086)Time elapsed: 0.001 s
% 9.63/2.36 % (2537086)Peak memory usage: 87 MB
% 9.63/2.36 % (2537088)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=987552024:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.21/2.59 % (2537088)Refutation not found, incomplete strategy
% 10.21/2.59 % (2537088)------------------------------
% 10.21/2.59 % (2537088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.59 % (2537088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.59 % (2537088)CaDiCaL version: 2.1.3
% 10.21/2.59 % (2537088)Termination reason: Refutation not found, incomplete strategy
% 10.21/2.59 % (2537088)Time elapsed: 0.001 s
% 10.21/2.59 % (2537088)Peak memory usage: 87 MB
% 10.21/2.59 % (2537089)lrs+10_64_to=lpo:sil=8000:random_seed=599278000:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.21/2.59 % (2537087)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3244530569:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.21/2.59 % (2537089)Instruction limit reached!
% 10.21/2.59 % (2537089)------------------------------
% 10.21/2.59 % (2537089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.59 % (2537089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.59 % (2537089)CaDiCaL version: 2.1.3
% 10.21/2.59 % (2537089)Termination reason: Instruction limit
% 10.21/2.59 % (2537089)Termination phase: Saturation
% 10.21/2.59 % (2537089)Time elapsed: 0.138 s
% 10.21/2.59 % (2537089)Peak memory usage: 88 MB
% 10.21/2.59 % (2537089)Instructions burned: 126 (million)
% 10.21/2.59 % (2537087)Instruction limit reached!
% 10.21/2.59 % (2537087)------------------------------
% 10.21/2.59 % (2537087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.59 % (2537087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.59 % (2537087)CaDiCaL version: 2.1.3
% 10.21/2.59 % (2537087)Termination reason: Instruction limit
% 10.21/2.59 % (2537087)Termination phase: Saturation
% 10.21/2.59 % (2537087)Time elapsed: 0.157 s
% 10.21/2.59 % (2537087)Peak memory usage: 89 MB
% 10.21/2.59 % (2537087)Instructions burned: 189 (million)
% 10.21/2.59 % (2537088)------------------------------
% 10.21/2.59 % (2537088)------------------------------
% 10.21/2.59 % (2537086)------------------------------
% 10.21/2.59 % (2537086)------------------------------
% 10.21/2.59 % (2537094)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3820770899:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 10.21/2.59 % (2537094)First to succeed.
% 10.21/2.59 % (2537094)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2537067"
% 10.21/2.59 % (2537095)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4112387048:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 10.21/2.59 % (2537096)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=566144831:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 10.21/2.59 % (2537073)Also succeeded, but the first one will report.
% 10.21/2.59 % (2537097)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3120576638:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 10.21/2.59 % (2537095)Instruction limit reached!
% 10.21/2.59 % (2537095)------------------------------
% 10.21/2.59 % (2537095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.59 % (2537095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.59 % (2537095)CaDiCaL version: 2.1.3
% 10.21/2.59 % (2537095)Termination reason: Instruction limit
% 10.21/2.59 % (2537095)Termination phase: Saturation
% 10.21/2.59 % (2537095)Time elapsed: 0.167 s
% 10.21/2.59 % (2537095)Peak memory usage: 90 MB
% 10.21/2.59 % (2537095)Instructions burned: 157 (million)
% 10.21/2.59 % (2537097)Instruction limit reached!
% 10.21/2.59 % (2537097)------------------------------
% 10.21/2.59 % (2537097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.59 % (2537097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.59 % (2537097)CaDiCaL version: 2.1.3
% 10.21/2.59 % (2537097)Termination reason: Instruction limit
% 10.21/2.59 % (2537097)Termination phase: Saturation
% 10.21/2.59 % (2537097)Time elapsed: 0.100 s
% 10.21/2.59 % (2537097)Peak memory usage: 88 MB
% 10.21/2.59 % (2537097)Instructions burned: 107 (million)
% 10.21/2.59 % (2537094)Refutation found. Thanks to Tanya!
% 10.21/2.59 % SZS status Unsatisfiable for theBenchmark
% 10.21/2.59 % SZS output start Proof for theBenchmark
% See solution above
% 10.21/2.59 % (2537094)------------------------------
% 10.21/2.59 % (2537094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.21/2.59 % (2537094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.21/2.59 % (2537094)CaDiCaL version: 2.1.3
% 10.21/2.59 % (2537094)Termination reason: Refutation
% 10.21/2.59 % (2537094)Time elapsed: 0.013 s
% 10.21/2.59 % (2537094)Peak memory usage: 88 MB
% 10.21/2.59 % (2537094)Instructions burned: 15 (million)
% 10.21/2.59 % (2537094)------------------------------
% 10.21/2.59 % (2537094)------------------------------
% 10.21/2.59 % (2537067)Success in time 1.345 s
% 10.21/2.59 % Vampire exiting
%------------------------------------------------------------------------------