%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN668-1 : 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 : n019.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 02:01:12 PM UTC 2026
% Result : Unsatisfiable 2.78s 1.14s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 25 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f12,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).
fof(f14,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).
fof(f18,negated_conjecture,
! [X0] : ~ p2(X0,f18(X0,f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_18) ).
fof(f30,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).
fof(f38,negated_conjecture,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_38) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f18(X0,X1),f18(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_48) ).
fof(f50,negated_conjecture,
! [X0] :
( p2(f11(f4(X0),c34),f11(f4(c32),c34))
| ~ p25(X0,c36)
| ~ p25(c32,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_50) ).
fof(f56,plain,
! [X0,X1] :
( ~ p2(X0,f18(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[],[f30,f18]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ p2(f18(X0,X2),X1)
| ~ p2(X2,f9(f17(c31)))
| ~ p2(X0,X1) ),
inference(resolution,[],[f48,f56]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3,f18(X1,X0))
| ~ p2(X1,X2)
| ~ p2(X0,f9(f17(c31)))
| ~ p2(X3,X2) ),
inference(resolution,[],[f87,f30]) ).
fof(f338,plain,
! [X0] :
( ~ p2(f11(f4(c33),c34),X0)
| ~ p2(f9(f17(c31)),f9(f17(c31)))
| ~ p2(f11(f4(c32),c34),X0) ),
inference(resolution,[],[f175,f38]) ).
fof(f344,plain,
! [X0] :
( ~ p2(f11(f4(c32),c34),X0)
| ~ p2(f11(f4(c33),c34),X0) ),
inference(forward_subsumption_resolution,[],[f338,f7]) ).
fof(f496,plain,
~ p2(f11(f4(c33),c34),f11(f4(c32),c34)),
inference(resolution,[],[f344,f7]) ).
fof(f525,plain,
( ~ p25(c33,c36)
| ~ p25(c32,c33) ),
inference(resolution,[],[f496,f50]) ).
fof(f531,plain,
~ p25(c32,c33),
inference(forward_subsumption_resolution,[],[f525,f12]) ).
fof(f532,plain,
$false,
inference(forward_subsumption_resolution,[],[f531,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN668-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.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 16:41:18 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.78/1.14 % (4145481)Input is clausal, will run a generic CNF schedule.
% 2.78/1.14 % (4145490)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=734480499:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.78/1.14 % (4145490)First to succeed.
% 2.78/1.14 % (4145490)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4145481"
% 2.78/1.14 % (4145489)lrs+10_1_sil=8000:sp=occurrence:random_seed=902735907:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.78/1.14 % (4145491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=94635737:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.78/1.14 % (4145492)dis-21_1_sil=8000:lcm=predicate:random_seed=3645728155: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)
% 2.78/1.14 % (4145487)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=655890698:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.78/1.14 % (4145486)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=4229296744:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.78/1.14 % (4145488)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1936716540:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.78/1.14 % (4145492)Also succeeded, but the first one will report.
% 2.78/1.14 % (4145491)Also succeeded, but the first one will report.
% 2.78/1.14 % (4145489)Also succeeded, but the first one will report.
% 2.78/1.14 % (4145490)Refutation found. Thanks to Tanya!
% 2.78/1.14 % SZS status Unsatisfiable for theBenchmark
% 2.78/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.14 % (4145490)------------------------------
% 2.78/1.14 % (4145490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.14 % (4145490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.14 % (4145490)CaDiCaL version: 2.1.3
% 2.78/1.14 % (4145490)Termination reason: Refutation
% 2.78/1.14 % (4145490)Time elapsed: 0.008 s
% 2.78/1.14 % (4145490)Peak memory usage: 88 MB
% 2.78/1.14 % (4145490)Instructions burned: 19 (million)
% 2.78/1.14 % (4145490)------------------------------
% 2.78/1.14 % (4145490)------------------------------
% 2.78/1.14 % (4145481)Success in time 0.301 s
% 2.78/1.14 % Vampire exiting
%------------------------------------------------------------------------------