%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:39:39 AM UTC 2026
% Result : Theorem 3.44s 1.17s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 11 unt; 2 def)
% Number of atoms : 78 ( 28 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 30 ~; 31 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 89 ( 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 != X3
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-1') ).
fof(f57,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 = X3
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs-2') ).
fof(f58,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-abs') ).
fof(f59,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f61,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f59]) ).
fof(f62,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f61]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f57]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f56]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f75]) ).
fof(f79,plain,
( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
& vnoType = vlookup(sK0,sK2)
& vtcheck(sK2,vabs(sK3,sK4,veabs),sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f62]) ).
fof(f80,plain,
vtcheck(sK2,vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f79]) ).
fof(f81,plain,
vnoType = vlookup(sK0,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f82,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f79]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f74]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f76]) ).
fof(f98,definition,
~ sP6(vnoType),
introduced(definition,[new_symbols(definition,[sP6])],[inequality_splitting_name_introduction]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| sP6(vlookup(X0,X2))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(inequality_splitting,[],[f95,f98]) ).
fof(f100,definition,
~ sP7(vnoType),
introduced(definition,[new_symbols(definition,[sP7])],[inequality_splitting_name_introduction]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| sP7(vlookup(X0,X2))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(inequality_splitting,[],[f96,f100]) ).
fof(f114,plain,
! [X2,X3,X1,X4,X5] :
( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
| sP6(vlookup(X3,X2))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(equality_resolution,[],[f99]) ).
fof(f115,plain,
( sK0 = sK3
| sP7(vlookup(sK0,sK2))
| ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5) ),
inference(resolution,[],[f82,f101]) ).
fof(f116,plain,
( sK0 = sK3
| sP7(vlookup(sK0,sK2)) ),
inference(forward_subsumption_resolution,[],[f115,f80]) ).
fof(f117,plain,
( sP7(vnoType)
| sK0 = sK3 ),
inference(forward_demodulation,[],[f116,f81]) ).
fof(f118,plain,
sK0 = sK3,
inference(forward_subsumption_resolution,[],[f117,f100]) ).
fof(f119,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK0,sK4,veabs),sK5),
inference(superposition,[],[f82,f118]) ).
fof(f120,plain,
vtcheck(sK2,vabs(sK0,sK4,veabs),sK5),
inference(superposition,[],[f80,f118]) ).
fof(f121,plain,
( sP6(vlookup(sK0,sK2))
| ~ vtcheck(sK2,vabs(sK0,sK4,veabs),sK5) ),
inference(resolution,[],[f119,f114]) ).
fof(f123,plain,
sP6(vlookup(sK0,sK2)),
inference(forward_subsumption_resolution,[],[f121,f120]) ).
fof(f124,plain,
sP6(vnoType),
inference(forward_demodulation,[],[f123,f81]) ).
fof(f125,plain,
$false,
inference(forward_subsumption_resolution,[],[f124,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:51:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/1.17 % (4076957)Detected formulas, will run a generic FOF schedule.
% 3.44/1.17 % (4076964)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=3811560722:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.44/1.17 % (4076966)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=987172040:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.44/1.17 % (4076962)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=80004916:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.44/1.17 % (4076965)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4084353223:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.44/1.17 % (4076968)dis-21_1_sil=8000:lcm=predicate:random_seed=4261132658: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)
% 3.44/1.17 % (4076967)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2388197509:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.44/1.17 % (4076963)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=616305438:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.44/1.17 % (4076965)First to succeed.
% 3.44/1.17 % (4076966)Also succeeded, but the first one will report.
% 3.44/1.17 % (4076965)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4076957"
% 3.44/1.17 % (4076967)Also succeeded, but the first one will report.
% 3.44/1.17 % (4076968)Instruction limit reached!
% 3.44/1.17 % (4076968)------------------------------
% 3.44/1.17 % (4076968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.17 % (4076968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.17 % (4076968)CaDiCaL version: 2.1.3
% 3.44/1.17 % (4076968)Termination reason: Instruction limit
% 3.44/1.17 % (4076968)Termination phase: Saturation
% 3.44/1.17 % (4076968)Time elapsed: 0.073 s
% 3.44/1.17 % (4076968)Peak memory usage: 89 MB
% 3.44/1.17 % (4076968)Instructions burned: 129 (million)
% 3.44/1.17 % (4076976)lrs+10_1_sil=8000:sp=occurrence:random_seed=3796814993:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.44/1.17 % (4076976)Also succeeded, but the first one will report.
% 3.44/1.17 % (4076965)Refutation found. Thanks to Tanya!
% 3.44/1.17 % SZS status Theorem for theBenchmark
% 3.44/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.17 % (4076965)------------------------------
% 3.44/1.17 % (4076965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.17 % (4076965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.17 % (4076965)CaDiCaL version: 2.1.3
% 3.44/1.17 % (4076965)Termination reason: Refutation
% 3.44/1.17 % (4076965)Time elapsed: 0.003 s
% 3.44/1.17 % (4076965)Peak memory usage: 88 MB
% 3.44/1.17 % (4076965)Instructions burned: 3 (million)
% 3.44/1.17 % (4076965)------------------------------
% 3.44/1.17 % (4076965)------------------------------
% 3.44/1.17 % (4076957)Success in time 0.412 s
% 3.44/1.17 % Vampire exiting
%------------------------------------------------------------------------------