%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM146+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 : 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 09:39:40 AM UTC 2026
% Result : Theorem 2.03s 0.66s
% Output : Refutation 2.03s
% 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/sandbox2/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).
fof(f42,axiom,
! [X0,X1,X2] :
( X1 = vvar(X0)
=> ( X2 = vreduce(X1)
=> X2 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/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
% 0.00/0.01 % Problem : COM146+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 21:56:04 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 2.03/0.66 % (3826638)Detected formulas, will run a generic FOF schedule.
% 2.03/0.66 % (3826648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1992540915:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.03/0.66 % (3826649)dis-21_1_sil=8000:lcm=predicate:random_seed=3158572761: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)
% 2.03/0.66 % (3826647)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1922671948:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.03/0.66 % (3826645)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=881285652:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.03/0.66 % (3826643)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=1236446004:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.03/0.66 % (3826644)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=2050249405:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.03/0.66 % (3826646)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1628129471:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.03/0.66 % (3826646)Refutation not found, incomplete strategy
% 2.03/0.66 % (3826646)------------------------------
% 2.03/0.66 % (3826646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.66 % (3826646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.66 % (3826646)CaDiCaL version: 2.1.3
% 2.03/0.66 % (3826646)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.66 % (3826646)Time elapsed: 0.001 s
% 2.03/0.66 % (3826646)Peak memory usage: 88 MB
% 2.03/0.66 % (3826646)Instructions burned: 1 (million)
% 2.03/0.66 % (3826647)Refutation not found, incomplete strategy
% 2.03/0.66 % (3826647)------------------------------
% 2.03/0.66 % (3826647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.66 % (3826647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.66 % (3826647)CaDiCaL version: 2.1.3
% 2.03/0.66 % (3826647)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.66 % (3826647)Time elapsed: 0.001 s
% 2.03/0.66 % (3826647)Peak memory usage: 88 MB
% 2.03/0.66 % (3826647)Instructions burned: 2 (million)
% 2.03/0.66 % (3826648)First to succeed.
% 2.03/0.66 % (3826648)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3826638"
% 2.03/0.66 % (3826649)Instruction limit reached!
% 2.03/0.66 % (3826649)------------------------------
% 2.03/0.66 % (3826649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.66 % (3826649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.66 % (3826649)CaDiCaL version: 2.1.3
% 2.03/0.66 % (3826649)Termination reason: Instruction limit
% 2.03/0.66 % (3826649)Termination phase: Saturation
% 2.03/0.66 % (3826649)Time elapsed: 0.040 s
% 2.03/0.66 % (3826649)Peak memory usage: 89 MB
% 2.03/0.66 % (3826649)Instructions burned: 131 (million)
% 2.03/0.66 % (3826657)lrs+10_1_sil=8000:sp=occurrence:random_seed=1279222938:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.03/0.66 % (3826657)Refutation not found, incomplete strategy
% 2.03/0.66 % (3826657)------------------------------
% 2.03/0.66 % (3826657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.66 % (3826657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.66 % (3826657)CaDiCaL version: 2.1.3
% 2.03/0.66 % (3826657)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.66 % (3826657)Time elapsed: 0.001 s
% 2.03/0.66 % (3826657)Peak memory usage: 88 MB
% 2.03/0.66 % (3826657)Instructions burned: 2 (million)
% 2.03/0.66 % (3826646)------------------------------
% 2.03/0.66 % (3826646)------------------------------
% 2.03/0.66 % (3826647)------------------------------
% 2.03/0.66 % (3826647)------------------------------
% 2.03/0.66 % (3826648)Refutation found. Thanks to Tanya!
% 2.03/0.66 % SZS status Theorem for theBenchmark
% 2.03/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.66 % (3826648)------------------------------
% 2.03/0.66 % (3826648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.66 % (3826648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.66 % (3826648)CaDiCaL version: 2.1.3
% 2.03/0.66 % (3826648)Termination reason: Refutation
% 2.03/0.66 % (3826648)Time elapsed: 0.003 s
% 2.03/0.66 % (3826648)Peak memory usage: 88 MB
% 2.03/0.66 % (3826648)Instructions burned: 10 (million)
% 2.03/0.66 % (3826648)------------------------------
% 2.03/0.66 % (3826648)------------------------------
% 2.03/0.66 % (3826638)Success in time 0.258 s
% 2.03/0.66 % Vampire exiting
%------------------------------------------------------------------------------