%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM130+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:39:37 AM UTC 2026
% Result : Theorem 2.30s 0.73s
% Output : Refutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 115 ( 63 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 139 ( 58 ~; 48 |; 24 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 154 ( 138 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X1 = X4
& X2 = vabs(X3,X0,X5) )
=> ( ( ( X3 != X4
& visFreeVar(X4,X5) )
=> visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
=> ( X3 != X4
& visFreeVar(X4,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar1) ).
fof(f32,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( X2 = X1
& X3 = X0
& X4 = vabs(X6,X7,X8) )
=> ( X1 = X6
=> ( X5 = vsubst(X2,X3,X4)
=> X5 = vabs(X6,X7,X8) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subst3) ).
fof(f56,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,X3)
& vtcheck(vbind(X0,X1,X2),X3,X4) )
=> vtcheck(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong') ).
fof(f59,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( X2 = X4
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-1') ).
fof(f60,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( X2 = X4
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(ennf_transformation,[],[f11]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(flattening,[],[f78]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( X5 = vabs(X6,X7,X8)
| vsubst(X2,X3,X4) != X5
| X1 != X6
| X1 != X2
| X0 != X3
| vabs(X6,X7,X8) != X4 ),
inference(ennf_transformation,[],[f32]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( X5 = vabs(X6,X7,X8)
| vsubst(X2,X3,X4) != X5
| X1 != X6
| X1 != X2
| X0 != X3
| vabs(X6,X7,X8) != X4 ),
inference(flattening,[],[f108]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X2,X3,X4)
| visFreeVar(X0,X3)
| ~ vtcheck(vbind(X0,X1,X2),X3,X4) ),
inference(ennf_transformation,[],[f56]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X2,X3,X4)
| visFreeVar(X0,X3)
| ~ vtcheck(vbind(X0,X1,X2),X3,X4) ),
inference(flattening,[],[f147]) ).
fof(f153,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
& X2 = X4
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) ),
inference(ennf_transformation,[],[f60]) ).
fof(f154,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7)
& X2 = X4
& vtcheck(X1,X3,X0)
& vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) ),
inference(flattening,[],[f153]) ).
fof(f217,plain,
( ~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,sK93)),sK94)
& sK89 = sK91
& vtcheck(sK88,sK90,sK87)
& vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,sK93),sK94) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92,sK93,sK94]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92),skolemize(X6,sK93),skolemize(X7,sK94)],[f154]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X4,X5] :
( X3 != X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( vabs(X6,X7,X8) = X5
| vsubst(X2,X3,X4) != X5
| X1 != X6
| X1 != X2
| X0 != X3
| vabs(X6,X7,X8) != X4 ),
inference(cnf_transformation,[],[f109]) ).
fof(f367,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3)
| vtcheck(X2,X3,X4) ),
inference(cnf_transformation,[],[f148]) ).
fof(f370,plain,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,sK93),sK94),
inference(cnf_transformation,[],[f217]) ).
fof(f372,plain,
sK89 = sK91,
inference(cnf_transformation,[],[f217]) ).
fof(f373,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,sK93)),sK94),
inference(cnf_transformation,[],[f217]) ).
fof(f390,plain,
! [X2,X0,X1,X4,X5] :
( ~ visFreeVar(X1,X2)
| X1 != X4
| vabs(X4,X0,X5) != X2 ),
inference(equality_resolution,[],[f236]) ).
fof(f391,plain,
! [X2,X0,X4,X5] :
( ~ visFreeVar(X4,X2)
| vabs(X4,X0,X5) != X2 ),
inference(equality_resolution,[],[f390]) ).
fof(f392,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f391]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( vsubst(X2,X3,X4) = vabs(X6,X7,X8)
| X1 != X6
| X1 != X2
| X0 != X3
| vabs(X6,X7,X8) != X4 ),
inference(equality_resolution,[],[f274]) ).
fof(f438,plain,
! [X2,X3,X0,X8,X6,X7,X4] :
( vsubst(X2,X3,X4) = vabs(X6,X7,X8)
| X2 != X6
| X0 != X3
| vabs(X6,X7,X8) != X4 ),
inference(equality_resolution,[],[f437]) ).
fof(f439,plain,
! [X3,X0,X8,X6,X7,X4] :
( vabs(X6,X7,X8) = vsubst(X6,X3,X4)
| X0 != X3
| vabs(X6,X7,X8) != X4 ),
inference(equality_resolution,[],[f438]) ).
fof(f440,plain,
! [X3,X8,X6,X7,X4] :
( vabs(X6,X7,X8) = vsubst(X6,X3,X4)
| vabs(X6,X7,X8) != X4 ),
inference(equality_resolution,[],[f439]) ).
fof(f441,plain,
! [X3,X8,X6,X7] : vabs(X6,X7,X8) = vsubst(X6,X3,vabs(X6,X7,X8)),
inference(equality_resolution,[],[f440]) ).
fof(f486,plain,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK89,sK92,sK93),sK94),
inference(forward_demodulation,[],[f370,f372]) ).
fof(f487,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK89,sK92,sK93)),sK94),
inference(forward_demodulation,[],[f373,f372]) ).
fof(f540,plain,
~ vtcheck(sK88,vabs(sK89,sK92,sK93),sK94),
inference(superposition,[],[f487,f441]) ).
fof(f541,plain,
( visFreeVar(sK89,vabs(sK89,sK92,sK93))
| vtcheck(sK88,vabs(sK89,sK92,sK93),sK94) ),
inference(resolution,[],[f367,f486]) ).
fof(f543,plain,
vtcheck(sK88,vabs(sK89,sK92,sK93),sK94),
inference(forward_subsumption_resolution,[],[f541,f392]) ).
fof(f544,plain,
$false,
inference(forward_subsumption_resolution,[],[f543,f540]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COM130+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 21:55:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 2.30/0.73 % (3823964)Detected formulas, will run a generic FOF schedule.
% 2.30/0.73 % (3824039)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2556970197:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.30/0.73 % (3824036)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=1752155001:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.30/0.73 % (3824037)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=546494105:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.30/0.73 % (3824040)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2577662162:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.30/0.73 % (3824041)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1693188565:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.30/0.73 % (3824044)dis-21_1_sil=8000:lcm=predicate:random_seed=2292210021:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.30/0.73 % (3824042)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2516281304:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.30/0.73 % (3824040)Refutation not found, incomplete strategy
% 2.30/0.73 % (3824040)------------------------------
% 2.30/0.73 % (3824040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.73 % (3824040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.73 % (3824040)CaDiCaL version: 2.1.3
% 2.30/0.73 % (3824040)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.73 % (3824040)Time elapsed: 0.001 s
% 2.30/0.73 % (3824040)Peak memory usage: 88 MB
% 2.30/0.73 % (3824040)Instructions burned: 1 (million)
% 2.30/0.73 % (3824042)First to succeed.
% 2.30/0.73 % (3824042)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3823964"
% 2.30/0.73 % (3824041)Instruction limit reached!
% 2.30/0.73 % (3824041)------------------------------
% 2.30/0.73 % (3824041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.73 % (3824041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.73 % (3824041)CaDiCaL version: 2.1.3
% 2.30/0.73 % (3824041)Termination reason: Instruction limit
% 2.30/0.73 % (3824041)Termination phase: Saturation
% 2.30/0.73 % (3824041)Time elapsed: 0.038 s
% 2.30/0.73 % (3824041)Peak memory usage: 88 MB
% 2.30/0.73 % (3824041)Instructions burned: 121 (million)
% 2.30/0.73 % (3824044)Instruction limit reached!
% 2.30/0.73 % (3824044)------------------------------
% 2.30/0.73 % (3824044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.73 % (3824044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.73 % (3824044)CaDiCaL version: 2.1.3
% 2.30/0.73 % (3824044)Termination reason: Instruction limit
% 2.30/0.73 % (3824044)Termination phase: Saturation
% 2.30/0.73 % (3824044)Time elapsed: 0.040 s
% 2.30/0.73 % (3824044)Peak memory usage: 89 MB
% 2.30/0.73 % (3824044)Instructions burned: 132 (million)
% 2.30/0.73 % (3824114)lrs+10_1_sil=8000:sp=occurrence:random_seed=4190372057:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.30/0.73 % (3824115)lrs+10_1_sil=32000:urr=on:br=off:random_seed=890784405:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.30/0.73 % (3824040)------------------------------
% 2.30/0.73 % (3824040)------------------------------
% 2.30/0.73 % (3824042)Refutation found. Thanks to Tanya!
% 2.30/0.73 % SZS status Theorem for theBenchmark
% 2.30/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.73 % (3824042)------------------------------
% 2.30/0.73 % (3824042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/0.73 % (3824042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.73 % (3824042)CaDiCaL version: 2.1.3
% 2.30/0.73 % (3824042)Termination reason: Refutation
% 2.30/0.73 % (3824042)Time elapsed: 0.006 s
% 2.30/0.73 % (3824042)Peak memory usage: 89 MB
% 2.30/0.73 % (3824042)Instructions burned: 16 (million)
% 2.30/0.73 % (3824042)------------------------------
% 2.30/0.73 % (3824042)------------------------------
% 2.30/0.73 % (3823964)Success in time 0.284 s
% 2.30/0.73 % Vampire exiting
%------------------------------------------------------------------------------