%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN568-1 : 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 : n010.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 02:00:59 PM UTC 2026
% Result : Unsatisfiable 0.62s 1.01s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
~ p11(f9(c13),f9(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_3) ).
fof(f4,negated_conjecture,
! [X0] : p11(f5(f6(c12)),f9(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( p10(X0,X1)
| p11(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ p10(X0,X1)
| ~ p11(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_6) ).
fof(f7,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
fof(f18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( p10(f4(X1,X0),f4(X2,X0))
| p3(X0,f6(c12))
| ~ p10(X1,X2)
| ~ p11(f5(f6(c12)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ p11(f4(X2,X0),f4(X1,X0))
| ~ p10(X1,X2)
| ~ p11(f5(f6(c12)),X1)
| p3(X0,f6(c12)) ),
inference(resolution,[],[f20,f6]) ).
fof(f47,plain,
( ~ p10(f9(c14),f9(c13))
| ~ p11(f5(f6(c12)),f9(c14))
| p3(f6(f7(f8(c12))),f6(c12)) ),
inference(resolution,[],[f38,f18]) ).
fof(f50,plain,
( ~ p10(f9(c14),f9(c13))
| p3(f6(f7(f8(c12))),f6(c12)) ),
inference(forward_subsumption_resolution,[],[f47,f4]) ).
fof(f51,plain,
~ p10(f9(c14),f9(c13)),
inference(forward_subsumption_resolution,[],[f50,f7]) ).
fof(f53,plain,
p11(f9(c13),f9(c14)),
inference(resolution,[],[f51,f5]) ).
fof(f54,plain,
$false,
inference(forward_subsumption_resolution,[],[f53,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN568-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:29:18 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 0.62/1.01 % (2058404)Input is clausal, will run a generic CNF schedule.
% 0.62/1.01 % (2058413)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=239189027:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.62/1.01 % (2058413)First to succeed.
% 0.62/1.01 % (2058413)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2058404"
% 0.62/1.01 % (2058412)lrs+10_1_sil=8000:sp=occurrence:random_seed=399824543:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.62/1.01 % (2058415)dis-21_1_sil=8000:lcm=predicate:random_seed=3530127168: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)
% 0.62/1.01 % (2058410)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1950980594:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.62/1.01 % (2058409)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=1484145485:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.62/1.01 % (2058411)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=568238558:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.62/1.01 % (2058412)Also succeeded, but the first one will report.
% 0.62/1.01 % (2058414)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1724874023:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.62/1.01 % (2058415)Also succeeded, but the first one will report.
% 0.62/1.01 % (2058414)Also succeeded, but the first one will report.
% 0.62/1.01 % (2058413)Refutation found. Thanks to Tanya!
% 0.62/1.01 % SZS status Unsatisfiable for theBenchmark
% 0.62/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/1.01 % (2058413)------------------------------
% 0.62/1.01 % (2058413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.62/1.01 % (2058413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/1.01 % (2058413)CaDiCaL version: 2.1.3
% 0.62/1.01 % (2058413)Termination reason: Refutation
% 0.62/1.01 % (2058413)Time elapsed: 0.001 s
% 0.62/1.01 % (2058413)Peak memory usage: 88 MB
% 0.62/1.01 % (2058413)Instructions burned: 2 (million)
% 0.62/1.01 % (2058413)------------------------------
% 0.62/1.01 % (2058413)------------------------------
% 0.62/1.01 % (2058404)Success in time 0.268 s
% 0.62/1.01 % Vampire exiting
%------------------------------------------------------------------------------