%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n006.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 3.50s 1.25s
% Output : Refutation 3.50s
% 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/theBenchmark.p','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/theBenchmark.p',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.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.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 21:55:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/1.25 % (251047)Detected formulas, will run a generic FOF schedule.
% 3.50/1.25 % (251054)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=2560964870:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.50/1.25 % (251055)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1739004626:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.50/1.25 % (251055)Refutation not found, incomplete strategy
% 3.50/1.25 % (251055)------------------------------
% 3.50/1.25 % (251055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.25 % (251055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.25 % (251055)CaDiCaL version: 2.1.3
% 3.50/1.25 % (251055)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.25 % (251055)Time elapsed: 0.002 s
% 3.50/1.25 % (251055)Peak memory usage: 88 MB
% 3.50/1.25 % (251055)Instructions burned: 1 (million)
% 3.50/1.25 % (251053)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=2350807403:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.50/1.25 % (251052)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=2451382867:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.50/1.25 % (251057)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3446593272:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.50/1.25 % (251057)First to succeed.
% 3.50/1.25 % (251057)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-251047"
% 3.50/1.25 % (251056)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=437001040:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.50/1.25 % (251058)dis-21_1_sil=8000:lcm=predicate:random_seed=132565930: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)
% 3.50/1.25 % (251056)Refutation not found, incomplete strategy
% 3.50/1.25 % (251056)------------------------------
% 3.50/1.25 % (251056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.25 % (251056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.25 % (251056)CaDiCaL version: 2.1.3
% 3.50/1.25 % (251056)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.25 % (251056)Time elapsed: 0.002 s
% 3.50/1.25 % (251056)Peak memory usage: 88 MB
% 3.50/1.25 % (251056)Instructions burned: 1 (million)
% 3.50/1.25 % (251058)Instruction limit reached!
% 3.50/1.25 % (251058)------------------------------
% 3.50/1.25 % (251058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.25 % (251058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.25 % (251058)CaDiCaL version: 2.1.3
% 3.50/1.25 % (251058)Termination reason: Instruction limit
% 3.50/1.25 % (251058)Termination phase: Saturation
% 3.50/1.25 % (251058)Time elapsed: 0.074 s
% 3.50/1.25 % (251058)Peak memory usage: 89 MB
% 3.50/1.25 % (251058)Instructions burned: 129 (million)
% 3.50/1.25 % (251066)lrs+10_1_sil=8000:sp=occurrence:random_seed=3871117681:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.50/1.25 % (251066)Refutation not found, incomplete strategy
% 3.50/1.25 % (251066)------------------------------
% 3.50/1.25 % (251066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.25 % (251066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.25 % (251066)CaDiCaL version: 2.1.3
% 3.50/1.25 % (251066)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.25 % (251066)Time elapsed: 0.002 s
% 3.50/1.25 % (251066)Peak memory usage: 88 MB
% 3.50/1.25 % (251066)Instructions burned: 1 (million)
% 3.50/1.25 % (251055)------------------------------
% 3.50/1.25 % (251055)------------------------------
% 3.50/1.25 % (251056)------------------------------
% 3.50/1.25 % (251056)------------------------------
% 3.50/1.25 % (251057)Refutation found. Thanks to Tanya!
% 3.50/1.25 % SZS status Theorem for theBenchmark
% 3.50/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.25 % (251057)------------------------------
% 3.50/1.25 % (251057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.25 % (251057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.25 % (251057)CaDiCaL version: 2.1.3
% 3.50/1.25 % (251057)Termination reason: Refutation
% 3.50/1.25 % (251057)Time elapsed: 0.007 s
% 3.50/1.25 % (251057)Peak memory usage: 89 MB
% 3.50/1.25 % (251057)Instructions burned: 10 (million)
% 3.50/1.25 % (251057)------------------------------
% 3.50/1.25 % (251057)------------------------------
% 3.50/1.25 % (251047)Success in time 0.409 s
% 3.50/1.25 % Vampire exiting
%------------------------------------------------------------------------------