%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 02:01:07 PM UTC 2026
% Result : Unsatisfiable 2.59s 1.04s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_5) ).
fof(f6,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_6) ).
fof(f12,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_12) ).
fof(f17,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_17) ).
fof(f30,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p3(X3,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X4),f15(f16(f9(f10(f11(c29)))),X2)))))
| ~ p21(X5,f9(f10(f11(c29))))
| ~ p21(X4,f12(f9(f10(f11(c29))),X1))
| ~ p22(f12(f9(f10(f11(c29))),f18(X1,f9(f11(c29)))),X4)
| p4(f5(f7(X0,f8(X1,X2)),X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
fof(f75,plain,
! [X0,X1] :
( ~ p21(c28,f9(f10(f11(c29))))
| ~ p21(c27,f12(f9(f10(f11(c29))),X0))
| ~ p22(f12(f9(f10(f11(c29))),f18(X0,f9(f11(c29)))),c27)
| p4(f5(f7(X1,f8(X0,c25)),c26),c27) ),
inference(resolution,[],[f34,f30]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p22(f12(f9(f10(f11(c29))),f18(X0,f9(f11(c29)))),c27)
| ~ p21(c27,f12(f9(f10(f11(c29))),X0))
| p4(f5(f7(X1,f8(X0,c25)),c26),c27) ),
inference(forward_subsumption_resolution,[],[f75,f5]) ).
fof(f100,plain,
! [X0] :
( ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| p4(f5(f7(X0,f8(c24,c25)),c26),c27) ),
inference(resolution,[],[f77,f17]) ).
fof(f102,plain,
! [X0] : p4(f5(f7(X0,f8(c24,c25)),c26),c27),
inference(forward_subsumption_resolution,[],[f100,f6]) ).
fof(f114,plain,
$false,
inference(resolution,[],[f102,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:40:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/1.04 % (3529611)Input is clausal, will run a generic CNF schedule.
% 2.59/1.04 % (3529620)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1340920349:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.59/1.04 % (3529620)First to succeed.
% 2.59/1.04 % (3529620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3529611"
% 2.59/1.04 % (3529619)lrs+10_1_sil=8000:sp=occurrence:random_seed=3227075159:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.59/1.04 % (3529618)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3637543850:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.59/1.04 % (3529616)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=4051945706:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.59/1.04 % (3529617)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3237925523:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.59/1.04 % (3529622)dis-21_1_sil=8000:lcm=predicate:random_seed=2451514027: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)
% 2.59/1.04 % (3529621)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3640725891:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.59/1.04 % (3529619)Also succeeded, but the first one will report.
% 2.59/1.04 % (3529621)Also succeeded, but the first one will report.
% 2.59/1.04 % (3529622)Also succeeded, but the first one will report.
% 2.59/1.04 % (3529620)Refutation found. Thanks to Tanya!
% 2.59/1.04 % SZS status Unsatisfiable for theBenchmark
% 2.59/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.59/1.04 % (3529620)------------------------------
% 2.59/1.04 % (3529620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.04 % (3529620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.04 % (3529620)CaDiCaL version: 2.1.3
% 2.59/1.04 % (3529620)Termination reason: Refutation
% 2.59/1.04 % (3529620)Time elapsed: 0.003 s
% 2.59/1.04 % (3529620)Peak memory usage: 88 MB
% 2.59/1.04 % (3529620)Instructions burned: 5 (million)
% 2.59/1.04 % (3529620)------------------------------
% 2.59/1.04 % (3529620)------------------------------
% 2.59/1.04 % (3529611)Success in time 0.288 s
% 2.59/1.04 % Vampire exiting
%------------------------------------------------------------------------------