%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:01:01 PM UTC 2026
% Result : Unsatisfiable 2.29s 0.79s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_2) ).
fof(f6,negated_conjecture,
~ p2(c12,f3(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_6) ).
fof(f7,negated_conjecture,
p11(c18,f9(c12,c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
fof(f12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( p11(X0,f8(X1,X2))
| ~ p11(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_13) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( p11(X0,X1)
| ~ p11(X0,X2)
| ~ p11(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_16) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( p11(f9(X0,X1),f9(X0,X2))
| p2(X0,f3(c13))
| ~ p11(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_26) ).
fof(f27,plain,
! [X0] :
( ~ p11(X0,f9(c12,f8(c16,c14)))
| ~ p11(c18,X0) ),
inference(resolution,[],[f16,f12]) ).
fof(f53,plain,
! [X0] :
( p2(c12,f3(c13))
| ~ p11(X0,f8(c16,c14))
| ~ p11(c18,f9(c12,X0)) ),
inference(resolution,[],[f26,f27]) ).
fof(f54,plain,
! [X0] :
( ~ p11(c18,f9(c12,X0))
| ~ p11(X0,f8(c16,c14)) ),
inference(forward_subsumption_resolution,[],[f53,f6]) ).
fof(f55,plain,
~ p11(c14,f8(c16,c14)),
inference(resolution,[],[f54,f7]) ).
fof(f61,plain,
~ p11(c14,c14),
inference(resolution,[],[f55,f13]) ).
fof(f65,plain,
$false,
inference(forward_subsumption_resolution,[],[f61,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:30:34 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.29/0.79 % (290878)Input is clausal, will run a generic CNF schedule.
% 2.29/0.79 % (290889)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3403056341:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.29/0.79 % (290889)First to succeed.
% 2.29/0.79 % (290889)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-290878"
% 2.29/0.79 % (290885)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2720242489:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.29/0.79 % (290886)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2041335369:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.29/0.79 % (290887)lrs+10_1_sil=8000:sp=occurrence:random_seed=3336941982:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.29/0.79 % (290888)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=684434448:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.29/0.79 % (290890)dis-21_1_sil=8000:lcm=predicate:random_seed=508668991: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)
% 2.29/0.79 % (290884)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=3495999381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.29/0.79 % (290890)Also succeeded, but the first one will report.
% 2.29/0.79 % (290888)Also succeeded, but the first one will report.
% 2.29/0.79 % (290887)Also succeeded, but the first one will report.
% 2.29/0.79 % (290889)Refutation found. Thanks to Tanya!
% 2.29/0.79 % SZS status Unsatisfiable for theBenchmark
% 2.29/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.79 % (290889)------------------------------
% 2.29/0.79 % (290889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.79 % (290889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.79 % (290889)CaDiCaL version: 2.1.3
% 2.29/0.79 % (290889)Termination reason: Refutation
% 2.29/0.79 % (290889)Time elapsed: 0.002 s
% 2.29/0.79 % (290889)Peak memory usage: 88 MB
% 2.29/0.79 % (290889)Instructions burned: 3 (million)
% 2.29/0.79 % (290889)------------------------------
% 2.29/0.79 % (290889)------------------------------
% 2.29/0.79 % (290878)Success in time 0.292 s
% 2.29/0.79 % Vampire exiting
%------------------------------------------------------------------------------