%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS002-1 : 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 : n013.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 11:41:26 AM UTC 2026
% Result : Unsatisfiable 1.20s 1.00s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 42 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( ~ c(X0)
| s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f4,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( s(X0,u1r1(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0] :
( s(X0,u1r2(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f8,axiom,
! [X0] :
( s1most(X0)
| ~ d(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ s(X2,X0)
| ~ s1most(X2)
| equalish(X0,X1)
| ~ s(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f14,axiom,
! [X0] :
( r(X0,u4r2(X0))
| ~ e(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f15,axiom,
! [X0,X1] :
( d(X0)
| ~ e(X1)
| ~ r(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f16,axiom,
! [X0,X1] :
( c(X0)
| ~ e(X1)
| ~ r(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f19,plain,
! [X0,X1] :
( s2least(X1)
| ~ r(X0,X1)
| ~ e(X0) ),
inference(resolution,[],[f16,f2]) ).
fof(f23,plain,
! [X0,X1] :
( equalish(u1r2(X0),X1)
| ~ s1most(X0)
| ~ s(X0,X1)
| ~ s2least(X0) ),
inference(resolution,[],[f10,f6]) ).
fof(f26,plain,
! [X0] :
( ~ s1most(X0)
| ~ s(X0,u1r1(X0))
| ~ s2least(X0)
| ~ s2least(X0) ),
inference(resolution,[],[f23,f4]) ).
fof(f27,plain,
! [X0] :
( ~ s1most(X0)
| ~ s(X0,u1r1(X0))
| ~ s2least(X0) ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ~ s2least(X0)
| ~ s1most(X0) ),
inference(forward_subsumption_resolution,[],[f27,f5]) ).
fof(f30,plain,
! [X0,X1] :
( ~ e(X1)
| ~ r(X1,X0)
| ~ s1most(X0) ),
inference(resolution,[],[f28,f19]) ).
fof(f31,plain,
! [X0] :
( ~ r(exist,X0)
| ~ s1most(X0) ),
inference(resolution,[],[f30,f1]) ).
fof(f33,plain,
( ~ s1most(u4r2(exist))
| ~ e(exist) ),
inference(resolution,[],[f31,f14]) ).
fof(f35,plain,
~ s1most(u4r2(exist)),
inference(forward_subsumption_resolution,[],[f33,f1]) ).
fof(f38,plain,
~ d(u4r2(exist)),
inference(resolution,[],[f35,f8]) ).
fof(f43,plain,
! [X0] :
( ~ r(X0,u4r2(exist))
| ~ e(X0) ),
inference(resolution,[],[f38,f15]) ).
fof(f51,plain,
( ~ e(exist)
| ~ e(exist) ),
inference(resolution,[],[f43,f14]) ).
fof(f52,plain,
~ e(exist),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f53,plain,
$false,
inference(forward_subsumption_resolution,[],[f52,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS002-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:13:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 1.20/1.00 % (222746)Input is clausal, will run a generic CNF schedule.
% 1.20/1.00 % (222756)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3170491841:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.20/1.00 % (222756)First to succeed.
% 1.20/1.00 % (222756)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-222746"
% 1.20/1.00 % (222752)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1028968580:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.20/1.00 % (222754)lrs+10_1_sil=8000:sp=occurrence:random_seed=3725186599:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.20/1.00 % (222755)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3845423702:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.20/1.00 % (222751)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=729678005:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.20/1.00 % (222753)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1313615148:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.20/1.00 % (222757)dis-21_1_sil=8000:lcm=predicate:random_seed=2819883330: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)
% 1.20/1.00 % (222755)Refutation not found, incomplete strategy
% 1.20/1.00 % (222755)------------------------------
% 1.20/1.00 % (222755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.20/1.00 % (222755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/1.00 % (222755)CaDiCaL version: 2.1.3
% 1.20/1.00 % (222755)Termination reason: Refutation not found, incomplete strategy
% 1.20/1.00 % (222755)Time elapsed: 0.001 s
% 1.20/1.00 % (222755)Peak memory usage: 87 MB
% 1.20/1.00 % (222754)Also succeeded, but the first one will report.
% 1.20/1.00 % (222757)Also succeeded, but the first one will report.
% 1.20/1.00 % (222756)Refutation found. Thanks to Tanya!
% 1.20/1.00 % SZS status Unsatisfiable for theBenchmark
% 1.20/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 1.20/1.00 % (222756)------------------------------
% 1.20/1.00 % (222756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.20/1.00 % (222756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/1.00 % (222756)CaDiCaL version: 2.1.3
% 1.20/1.00 % (222756)Termination reason: Refutation
% 1.20/1.00 % (222756)Time elapsed: 0.001 s
% 1.20/1.00 % (222756)Peak memory usage: 88 MB
% 1.20/1.00 % (222756)Instructions burned: 2 (million)
% 1.20/1.00 % (222756)------------------------------
% 1.20/1.00 % (222756)------------------------------
% 1.20/1.00 % (222746)Success in time 0.295 s
% 1.20/1.00 % Vampire exiting
%------------------------------------------------------------------------------