%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:41:25 AM UTC 2026
% Result : Unsatisfiable 3.53s 1.46s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 24 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( ~ c(X0)
| r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f4,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( r(X0,u1r1(X0))
| ~ r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0] :
( r(X0,u1r2(X0))
| ~ r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f8,axiom,
! [X0] :
( ~ d(X0)
| r1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ r(X2,X1)
| ~ r1most(X2)
| ~ r(X2,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f14,axiom,
! [X0] :
( ~ e(X0)
| d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,axiom,
! [X0] :
( ~ e(X0)
| c(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f17,plain,
d(exist),
inference(resolution,[],[f14,f1]) ).
fof(f18,plain,
r1most(exist),
inference(resolution,[],[f17,f8]) ).
fof(f19,plain,
c(exist),
inference(resolution,[],[f15,f1]) ).
fof(f20,plain,
r2least(exist),
inference(resolution,[],[f19,f2]) ).
fof(f29,plain,
! [X0,X1] :
( equalish(X1,u1r1(X0))
| ~ r(X0,X1)
| ~ r1most(X0)
| ~ r2least(X0) ),
inference(resolution,[],[f10,f5]) ).
fof(f38,plain,
! [X0] :
( ~ r(X0,u1r2(X0))
| ~ r1most(X0)
| ~ r2least(X0)
| ~ r2least(X0) ),
inference(resolution,[],[f29,f4]) ).
fof(f39,plain,
! [X0] :
( ~ r(X0,u1r2(X0))
| ~ r1most(X0)
| ~ r2least(X0) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ r1most(X0)
| ~ r2least(X0) ),
inference(forward_subsumption_resolution,[],[f39,f6]) ).
fof(f41,plain,
~ r2least(exist),
inference(resolution,[],[f40,f18]) ).
fof(f43,plain,
$false,
inference(forward_subsumption_resolution,[],[f41,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 13:14:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.53/1.46 % (2398603)Input is clausal, will run a generic CNF schedule.
% 3.53/1.46 % (2398665)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=434146082:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.53/1.46 % (2398667)lrs+10_1_sil=8000:sp=occurrence:random_seed=537919994:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.53/1.46 % (2398669)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1678616926:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.53/1.46 % (2398662)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=3149615789:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.53/1.46 % (2398664)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1762881352:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.53/1.46 % (2398670)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4198789271:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.53/1.46 % (2398669)Refutation not found, incomplete strategy
% 3.53/1.46 % (2398669)------------------------------
% 3.53/1.46 % (2398669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.46 % (2398669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.46 % (2398669)CaDiCaL version: 2.1.3
% 3.53/1.46 % (2398669)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.46 % (2398669)Time elapsed: 0.001 s
% 3.53/1.46 % (2398669)Peak memory usage: 87 MB
% 3.53/1.46 % (2398670)Also succeeded, but the first one will report.
% 3.53/1.46 % (2398667)First to succeed.
% 3.53/1.46 % (2398667)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2398603"
% 3.53/1.46 % (2398671)dis-21_1_sil=8000:lcm=predicate:random_seed=237252257: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)
% 3.53/1.46 % (2398671)Also succeeded, but the first one will report.
% 3.53/1.46 % (2398669)------------------------------
% 3.53/1.46 % (2398669)------------------------------
% 3.53/1.46 % (2398667)Refutation found. Thanks to Tanya!
% 3.53/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.46 % (2398667)------------------------------
% 3.53/1.46 % (2398667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.46 % (2398667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.46 % (2398667)CaDiCaL version: 2.1.3
% 3.53/1.46 % (2398667)Termination reason: Refutation
% 3.53/1.46 % (2398667)Time elapsed: 0.002 s
% 3.53/1.46 % (2398667)Peak memory usage: 88 MB
% 3.53/1.46 % (2398667)Instructions burned: 1 (million)
% 3.53/1.46 % (2398667)------------------------------
% 3.53/1.46 % (2398667)------------------------------
% 3.53/1.46 % (2398603)Success in time 0.414 s
% 3.53/1.46 % Vampire exiting
%------------------------------------------------------------------------------