%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM141+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:40:23 AM UTC 2026
% Result : Theorem 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 59 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 25 ~; 22 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 82 ( 70 !; 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/sandbox/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/sandbox/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/sandbox/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(f146,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(f147,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,[],[f146]) ).
fof(f148,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(f149,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,[],[f148]) ).
fof(f150,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(f151,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,[],[f150]) ).
fof(f214,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
& vnoType = vlookup(sK87,sK89)
& vtcheck(sK89,vabs(sK90,sK91,veabs),sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92)],[f151]) ).
fof(f364,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,[],[f147]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| X0 != X3
| vnoType != vlookup(X0,X2)
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f366,plain,
vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f214]) ).
fof(f367,plain,
vnoType = vlookup(sK87,sK89),
inference(cnf_transformation,[],[f214]) ).
fof(f368,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f214]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| vnoType != vlookup(X0,X2)
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(forward_subsumption_resolution,[],[f364,f365]) ).
fof(f658,plain,
! [X0,X1] :
( vnoType != vlookup(X0,sK89)
| vtcheck(vbind(X0,X1,sK89),vabs(sK90,sK91,veabs),sK92) ),
inference(resolution,[],[f370,f366]) ).
fof(f804,plain,
! [X0] :
( vnoType != vnoType
| vtcheck(vbind(sK87,X0,sK89),vabs(sK90,sK91,veabs),sK92) ),
inference(superposition,[],[f658,f367]) ).
fof(f805,plain,
! [X0] : vtcheck(vbind(sK87,X0,sK89),vabs(sK90,sK91,veabs),sK92),
inference(trivial_inequality_removal,[],[f804]) ).
fof(f807,plain,
$false,
inference(resolution,[],[f805,f368]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n003.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 21:57:27 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.31 % (2075683)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (2075690)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4099612218:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (2075689)% WARNING: option uhcvi not known.
% 0.21/0.31 % (2075688)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=696527425_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (2075689)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1471713255:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (2075693)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=498371939:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (2075692)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2227762090:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (2075691)dis+10_1_sil=32000:sp=arity:random_seed=4129747990:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (2075694)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4261048319:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % TRYING [1]
% 0.21/0.31 % TRYING [2]
% 0.21/0.31 % (2075693) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2075683-2075693"...
% 0.21/0.31 % (2075693)...printing done.
% 0.21/0.31 % (2075693)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Theorem for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (2075693)------------------------------
% 0.21/0.31 % (2075693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (2075693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (2075693)CaDiCaL version: 2.1.3
% 0.21/0.31 % (2075693)Termination reason: Refutation
% 0.21/0.31 % (2075693)Time elapsed: 0.022 s
% 0.21/0.31 % (2075693)Peak memory usage: 12 MB
% 0.21/0.31 % (2075693)Instructions burned: 33 (million)
% 0.21/0.31 % (2075683)Success in time 0.058 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------