%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN593-1 : 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 : 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 02:01:02 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.14s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
~ p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_5) ).
fof(f6,negated_conjecture,
~ p12(f13(c20),f13(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_6) ).
fof(f18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_18) ).
fof(f19,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_19) ).
fof(f23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_23) ).
fof(f24,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_24) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X1)),X2)
| p12(f13(X2),f13(c18))
| p3(X0,X1)
| p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X0)),X2)
| ~ p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X0),X2)
| ~ p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).
fof(f67,plain,
! [X0] :
( p12(f13(c20),f13(c18))
| p3(X0,c19)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X0)),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ),
inference(resolution,[],[f27,f24]) ).
fof(f71,plain,
! [X0] :
( p3(X0,c19)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X0)),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ),
inference(forward_subsumption_resolution,[],[f67,f6]) ).
fof(f73,plain,
! [X0] :
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X0)),c20)
| p3(X0,c19)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),c20) ),
inference(forward_subsumption_resolution,[],[f71,f18]) ).
fof(f96,plain,
( p3(c21,c19)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) ),
inference(resolution,[],[f73,f23]) ).
fof(f100,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(forward_subsumption_resolution,[],[f96,f5]) ).
fof(f102,plain,
$false,
inference(forward_subsumption_resolution,[],[f100,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN593-1 : 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 : n011.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 16:31:15 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
% 0.19/1.14 % (3515630)Input is clausal, will run a generic CNF schedule.
% 0.19/1.14 % (3515639)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3502980229:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.14 % (3515639)First to succeed.
% 0.19/1.14 % (3515639)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3515630"
% 0.19/1.14 % (3515637)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=406704538:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.14 % (3515635)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=1525447631:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.14 % (3515636)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2631135377:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.14 % (3515638)lrs+10_1_sil=8000:sp=occurrence:random_seed=3423458914:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.14 % (3515638)Also succeeded, but the first one will report.
% 0.19/1.14 % (3515640)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2571225849:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.14 % (3515641)dis-21_1_sil=8000:lcm=predicate:random_seed=2829208254: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)
% 0.19/1.14 % (3515640)Also succeeded, but the first one will report.
% 0.19/1.14 % (3515641)Also succeeded, but the first one will report.
% 0.19/1.14 % (3515639)Refutation found. Thanks to Tanya!
% 0.19/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.14 % (3515639)------------------------------
% 0.19/1.14 % (3515639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.14 % (3515639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.14 % (3515639)CaDiCaL version: 2.1.3
% 0.19/1.14 % (3515639)Termination reason: Refutation
% 0.19/1.14 % (3515639)Time elapsed: 0.002 s
% 0.19/1.14 % (3515639)Peak memory usage: 88 MB
% 0.19/1.14 % (3515639)Instructions burned: 3 (million)
% 0.19/1.14 % (3515639)------------------------------
% 0.19/1.14 % (3515639)------------------------------
% 0.19/1.14 % (3515630)Success in time 0.294 s
% 0.19/1.14 % Vampire exiting
%------------------------------------------------------------------------------