%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS012-1 : 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 11:41:27 AM UTC 2026
% Result : Unsatisfiable 3.44s 1.42s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c(exists),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
~ f(exists),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ r(X1,X0)
| ~ c(X1)
| e(X0)
| ~ d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0,X1] :
( ~ r(X1,X0)
| ~ c(X1)
| d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f12,axiom,
! [X0] :
( ~ e(u1r1(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f13,axiom,
! [X0] :
( r(X0,u1r1(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f14,plain,
! [X0] :
( d(u1r1(X0))
| ~ c(X0)
| f(X0) ),
inference(resolution,[],[f4,f13]) ).
fof(f16,plain,
! [X0] :
( ~ c(X0)
| e(u1r1(X0))
| ~ d(u1r1(X0))
| f(X0) ),
inference(resolution,[],[f3,f13]) ).
fof(f17,plain,
! [X0] :
( ~ c(X0)
| ~ d(u1r1(X0))
| f(X0) ),
inference(forward_subsumption_resolution,[],[f16,f12]) ).
fof(f18,plain,
! [X0] :
( ~ c(X0)
| f(X0) ),
inference(forward_subsumption_resolution,[],[f17,f14]) ).
fof(f19,plain,
f(exists),
inference(resolution,[],[f18,f1]) ).
fof(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS012-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 13:16:15 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 3.44/1.42 % (2400994)Input is clausal, will run a generic CNF schedule.
% 3.44/1.42 % (2401013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2883950513:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.44/1.42 % (2401013)Refutation not found, incomplete strategy
% 3.44/1.42 % (2401013)------------------------------
% 3.44/1.42 % (2401013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.42 % (2401013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.42 % (2401013)CaDiCaL version: 2.1.3
% 3.44/1.42 % (2401013)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.42 % (2401013)Time elapsed: 0.0000 s
% 3.44/1.42 % (2401013)Peak memory usage: 87 MB
% 3.44/1.42 % (2401011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1110603725:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.44/1.42 % (2401012)lrs+10_1_sil=8000:sp=occurrence:random_seed=2142081355:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.44/1.42 % (2401010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1723310348:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.44/1.42 % (2401009)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=3781879634:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.44/1.42 % (2401012)First to succeed.
% 3.44/1.42 % (2401012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2400994"
% 3.44/1.42 % (2401015)dis-21_1_sil=8000:lcm=predicate:random_seed=2150426967: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)
% 3.44/1.42 % (2401015)Also succeeded, but the first one will report.
% 3.44/1.42 % (2401014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4149142227:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.44/1.42 % (2401014)Also succeeded, but the first one will report.
% 3.44/1.42 % (2401013)------------------------------
% 3.44/1.42 % (2401013)------------------------------
% 3.44/1.42 % (2401111)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2575055993:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.44/1.42 % (2401111)Refutation not found, incomplete strategy
% 3.44/1.42 % (2401111)------------------------------
% 3.44/1.42 % (2401111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.42 % (2401111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.42 % (2401111)CaDiCaL version: 2.1.3
% 3.44/1.42 % (2401111)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.42 % (2401111)Time elapsed: 0.0000 s
% 3.44/1.42 % (2401111)Peak memory usage: 87 MB
% 3.44/1.42 % (2401012)Refutation found. Thanks to Tanya!
% 3.44/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.44/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.42 % (2401012)------------------------------
% 3.44/1.42 % (2401012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.42 % (2401012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.42 % (2401012)CaDiCaL version: 2.1.3
% 3.44/1.42 % (2401012)Termination reason: Refutation
% 3.44/1.42 % (2401012)Time elapsed: 0.001 s
% 3.44/1.42 % (2401012)Peak memory usage: 87 MB
% 3.44/1.42 % (2401012)------------------------------
% 3.44/1.42 % (2401012)------------------------------
% 3.44/1.42 % (2400994)Success in time 0.395 s
% 3.44/1.42 % Vampire exiting
%------------------------------------------------------------------------------