%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM144+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 : 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 09:40:23 AM UTC 2026
% Result : Theorem 0.24s 0.35s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 35 ( 24 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 32 ( 13 ~; 7 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 49 ( 39 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0] : vnoExp != vsomeExp(X0),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof(f43,axiom,
! [X0,X1,X2,X3,X4] :
( X3 = vabs(X0,X1,X2)
=> ( X4 = vreduce(X3)
=> X4 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce1) ).
fof(f60,conjecture,
! [X0,X1,X2,X3,X4] :
( ( vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3)
& vtcheck(X2,vabs(X0,X1,ve1),X4) )
=> vtcheck(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-abs') ).
fof(f61,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3)
& vtcheck(X2,vabs(X0,X1,ve1),X4) )
=> vtcheck(X2,X3,X4) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( X4 = vnoExp
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(ennf_transformation,[],[f43]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( X4 = vnoExp
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(flattening,[],[f124]) ).
fof(f156,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3)
& vtcheck(X2,vabs(X0,X1,ve1),X4) ),
inference(ennf_transformation,[],[f61]) ).
fof(f157,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vreduce(vabs(X0,X1,ve1)) = vsomeExp(X3)
& vtcheck(X2,vabs(X0,X1,ve1),X4) ),
inference(flattening,[],[f156]) ).
fof(f220,plain,
( ~ vtcheck(sK89,sK90,sK91)
& vreduce(vabs(sK87,sK88,ve1)) = vsomeExp(sK90)
& vtcheck(sK89,vabs(sK87,sK88,ve1),sK91) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91)],[f157]) ).
fof(f315,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(cnf_transformation,[],[f38]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f125]) ).
fof(f375,plain,
vreduce(vabs(sK87,sK88,ve1)) = vsomeExp(sK90),
inference(cnf_transformation,[],[f220]) ).
fof(f465,plain,
! [X2,X3,X0,X1] :
( vnoExp = vreduce(X3)
| vabs(X0,X1,X2) != X3 ),
inference(equality_resolution,[],[f320]) ).
fof(f466,plain,
! [X2,X0,X1] : vnoExp = vreduce(vabs(X0,X1,X2)),
inference(equality_resolution,[],[f465]) ).
fof(f491,plain,
vnoExp = vsomeExp(sK90),
inference(superposition,[],[f375,f466]) ).
fof(f492,plain,
$false,
inference(forward_subsumption_resolution,[],[f491,f315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM144+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n011.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 21:56:01 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.30 Running first-order model finding
% 0.24/0.30 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
% 0.24/0.35 % (3822163)Will run a generic schedule for satisfiability detection.
% 0.24/0.35 % (3822171)dis+10_1_sil=32000:sp=arity:random_seed=2377915058:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.35 % (3822170)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3374744581:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.35 % (3822171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3822163-3822171"...
% 0.24/0.35 % (3822171)...printing done.
% 0.24/0.35 % (3822169)% WARNING: option uhcvi not known.
% 0.24/0.35 % (3822171)Refutation found. Thanks to Tanya!
% 0.24/0.35 % SZS status Theorem for theBenchmark
% 0.24/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.35 % (3822171)------------------------------
% 0.24/0.35 % (3822171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.35 % (3822171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.35 % (3822171)CaDiCaL version: 2.1.3
% 0.24/0.35 % (3822171)Termination reason: Refutation
% 0.24/0.35 % (3822171)Time elapsed: 0.006 s
% 0.24/0.35 % (3822171)Peak memory usage: 12 MB
% 0.24/0.35 % (3822171)Instructions burned: 10 (million)
% 0.24/0.35 % (3822163)Success in time 0.033 s
% 0.24/0.35 % Vampire exiting
%------------------------------------------------------------------------------