%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM146+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 : n010.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 09:40:24 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% 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 : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 33 ( 25 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0] : vnoExp != vsomeExp(X0),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
fof(f42,axiom,
! [X0,X1,X2] :
( X1 = vvar(X0)
=> ( X2 = vreduce(X1)
=> X2 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof(f59,conjecture,
! [X0,X1,X2,X3] :
( ( vreduce(vvar(X0)) = vsomeExp(X2)
& vtcheck(X1,vvar(X0),X3) )
=> vtcheck(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-var') ).
fof(f60,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( vreduce(vvar(X0)) = vsomeExp(X2)
& vtcheck(X1,vvar(X0),X3) )
=> vtcheck(X1,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f121,plain,
! [X0,X1,X2] :
( X2 = vnoExp
| vreduce(X1) != X2
| vvar(X0) != X1 ),
inference(ennf_transformation,[],[f42]) ).
fof(f122,plain,
! [X0,X1,X2] :
( X2 = vnoExp
| vreduce(X1) != X2
| vvar(X0) != X1 ),
inference(flattening,[],[f121]) ).
fof(f153,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(X1,X2,X3)
& vreduce(vvar(X0)) = vsomeExp(X2)
& vtcheck(X1,vvar(X0),X3) ),
inference(ennf_transformation,[],[f60]) ).
fof(f154,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(X1,X2,X3)
& vreduce(vvar(X0)) = vsomeExp(X2)
& vtcheck(X1,vvar(X0),X3) ),
inference(flattening,[],[f153]) ).
fof(f217,plain,
( ~ vtcheck(sK88,sK89,sK90)
& vsomeExp(sK89) = vreduce(vvar(sK87))
& vtcheck(sK88,vvar(sK87),sK90) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90)],[f154]) ).
fof(f312,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(cnf_transformation,[],[f38]) ).
fof(f316,plain,
! [X2,X0,X1] :
( vnoExp = X2
| vreduce(X1) != X2
| vvar(X0) != X1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f371,plain,
vsomeExp(sK89) = vreduce(vvar(sK87)),
inference(cnf_transformation,[],[f217]) ).
fof(f459,plain,
! [X0,X1] :
( vnoExp = vreduce(X1)
| vvar(X0) != X1 ),
inference(equality_resolution,[],[f316]) ).
fof(f460,plain,
! [X0] : vnoExp = vreduce(vvar(X0)),
inference(equality_resolution,[],[f459]) ).
fof(f486,plain,
vnoExp = vsomeExp(sK89),
inference(superposition,[],[f371,f460]) ).
fof(f487,plain,
$false,
inference(forward_subsumption_resolution,[],[f486,f312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM146+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.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 21:56:17 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.29 % (2403344)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (2403352)dis+10_1_sil=32000:sp=arity:random_seed=3370835189:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (2403350)% WARNING: option uhcvi not known.
% 0.20/0.29 % (2403352) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2403344-2403352"...
% 0.20/0.29 % (2403352)...printing done.
% 0.20/0.29 % (2403352)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (2403352)------------------------------
% 0.20/0.29 % (2403352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (2403352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (2403352)CaDiCaL version: 2.1.3
% 0.20/0.29 % (2403352)Termination reason: Refutation
% 0.20/0.29 % (2403352)Time elapsed: 0.004 s
% 0.20/0.29 % (2403352)Peak memory usage: 12 MB
% 0.20/0.29 % (2403352)Instructions burned: 9 (million)
% 0.20/0.29 % (2403344)Success in time 0.044 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------