%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS015-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:41:28 AM UTC 2026
% Result : Unsatisfiable 2.79s 1.37s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 84 ( 49 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( ~ c(X0)
| t2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f4,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( t(X0,u1r1(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0] :
( t(X0,u1r2(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f8,axiom,
! [X0] :
( t1most(X0)
| ~ d(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ t(X2,X0)
| ~ t1most(X2)
| equalish(X0,X1)
| ~ t(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f14,axiom,
! [X0] :
( r(X0,u4r4(X0))
| ~ e(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f15,axiom,
! [X0,X1] :
( s(X0,X1)
| ~ e(X0)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f17,axiom,
! [X0,X1] :
( d(X0)
| ~ e(X1)
| ~ s(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f18,axiom,
! [X0,X1] :
( c(X0)
| ~ e(X1)
| ~ r(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f27,plain,
! [X0,X1] :
( t2least(X1)
| ~ r(X0,X1)
| ~ e(X0) ),
inference(resolution,[],[f18,f2]) ).
fof(f31,plain,
! [X0,X1] :
( equalish(u1r2(X0),X1)
| ~ t1most(X0)
| ~ t(X0,X1)
| ~ t2least(X0) ),
inference(resolution,[],[f10,f6]) ).
fof(f34,plain,
! [X0] :
( ~ t1most(X0)
| ~ t(X0,u1r1(X0))
| ~ t2least(X0)
| ~ t2least(X0) ),
inference(resolution,[],[f31,f4]) ).
fof(f35,plain,
! [X0] :
( ~ t1most(X0)
| ~ t(X0,u1r1(X0))
| ~ t2least(X0) ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ~ t2least(X0)
| ~ t1most(X0) ),
inference(forward_subsumption_resolution,[],[f35,f5]) ).
fof(f38,plain,
! [X0,X1] :
( ~ e(X1)
| ~ r(X1,X0)
| ~ t1most(X0) ),
inference(resolution,[],[f36,f27]) ).
fof(f39,plain,
! [X0] :
( ~ r(exist,X0)
| ~ t1most(X0) ),
inference(resolution,[],[f38,f1]) ).
fof(f41,plain,
( ~ t1most(u4r4(exist))
| ~ e(exist) ),
inference(resolution,[],[f39,f14]) ).
fof(f45,plain,
~ t1most(u4r4(exist)),
inference(forward_subsumption_resolution,[],[f41,f1]) ).
fof(f48,plain,
~ d(u4r4(exist)),
inference(resolution,[],[f45,f8]) ).
fof(f54,plain,
! [X0] :
( ~ s(X0,u4r4(exist))
| ~ e(X0) ),
inference(resolution,[],[f48,f17]) ).
fof(f69,plain,
! [X0] :
( ~ e(X0)
| ~ e(X0)
| ~ r(X0,u4r4(exist)) ),
inference(resolution,[],[f54,f15]) ).
fof(f70,plain,
! [X0] :
( ~ r(X0,u4r4(exist))
| ~ e(X0) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f72,plain,
( ~ e(exist)
| ~ e(exist) ),
inference(resolution,[],[f70,f14]) ).
fof(f75,plain,
~ e(exist),
inference(duplicate_literal_removal,[],[f72]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[],[f75,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS015-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:19:30 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.79/1.37 % (1673846)Input is clausal, will run a generic CNF schedule.
% 2.79/1.37 % (1673851)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=47158608:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.37 % (1673856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2914522112:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.37 % (1673856)First to succeed.
% 2.79/1.37 % (1673856)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1673846"
% 2.79/1.37 % (1673852)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3367266618:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.37 % (1673854)lrs+10_1_sil=8000:sp=occurrence:random_seed=585782546:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.37 % (1673857)dis-21_1_sil=8000:lcm=predicate:random_seed=60816722:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.79/1.37 % (1673855)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=720724233:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.37 % (1673853)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=275931507:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.37 % (1673854)Refutation not found, incomplete strategy
% 2.79/1.37 % (1673854)------------------------------
% 2.79/1.37 % (1673854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.37 % (1673854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.37 % (1673854)CaDiCaL version: 2.1.3
% 2.79/1.37 % (1673854)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.37 % (1673854)Time elapsed: 0.0000 s
% 2.79/1.37 % (1673854)Peak memory usage: 86 MB
% 2.79/1.37 % (1673855)Refutation not found, incomplete strategy
% 2.79/1.37 % (1673855)------------------------------
% 2.79/1.37 % (1673855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.37 % (1673855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.37 % (1673855)CaDiCaL version: 2.1.3
% 2.79/1.37 % (1673855)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.37 % (1673855)Time elapsed: 0.001 s
% 2.79/1.37 % (1673855)Peak memory usage: 87 MB
% 2.79/1.37 % (1673855)Instructions burned: 1 (million)
% 2.79/1.37 % (1673857)Also succeeded, but the first one will report.
% 2.79/1.37 % (1673856)Refutation found. Thanks to Tanya!
% 2.79/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.37 % (1673856)------------------------------
% 2.79/1.37 % (1673856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.37 % (1673856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.37 % (1673856)CaDiCaL version: 2.1.3
% 2.79/1.37 % (1673856)Termination reason: Refutation
% 2.79/1.37 % (1673856)Time elapsed: 0.002 s
% 2.79/1.37 % (1673856)Peak memory usage: 88 MB
% 2.79/1.37 % (1673856)Instructions burned: 3 (million)
% 2.79/1.37 % (1673856)------------------------------
% 2.79/1.37 % (1673856)------------------------------
% 2.79/1.37 % (1673846)Success in time 0.314 s
% 2.79/1.37 % Vampire exiting
%------------------------------------------------------------------------------