%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN573-1 : 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 : n006.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 2.73s 1.19s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p12(c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15_is_p12_1) ).
fof(f3,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
fof(f14,negated_conjecture,
! [X0] :
( p2(X0,f9(c17))
| p11(X0,c16)
| ~ p12(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_14) ).
fof(f16,negated_conjecture,
! [X0,X1] : p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_16) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).
fof(f19,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_19) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14))))))
| ~ p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
fof(f32,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f13,f3]) ).
fof(f54,plain,
! [X0] :
( p2(f9(c17),X0)
| p11(X0,c16)
| ~ p12(X0) ),
inference(resolution,[],[f32,f14]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ p2(f3(f8(X2),f3(f8(X0),f5(f6(f7(c14))))),X3)
| ~ p2(X0,X1)
| p11(X1,X3) ),
inference(resolution,[],[f17,f16]) ).
fof(f77,plain,
~ p11(c15,c16),
inference(resolution,[],[f21,f19]) ).
fof(f259,plain,
! [X2,X0,X1] :
( p11(X1,f3(f8(X2),f3(f8(X0),f5(f6(f7(c14))))))
| ~ p2(X0,X1) ),
inference(resolution,[],[f62,f3]) ).
fof(f868,plain,
~ p2(f9(c17),c15),
inference(resolution,[],[f259,f19]) ).
fof(f869,plain,
( p11(c15,c16)
| ~ p12(c15) ),
inference(resolution,[],[f868,f54]) ).
fof(f870,plain,
~ p12(c15),
inference(forward_subsumption_resolution,[],[f869,f77]) ).
fof(f871,plain,
$false,
inference(forward_subsumption_resolution,[],[f870,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:28:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.73/1.19 % (4095390)Input is clausal, will run a generic CNF schedule.
% 2.73/1.19 % (4095517)lrs+10_1_sil=8000:sp=occurrence:random_seed=3173985265:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.19 % (4095517)First to succeed.
% 2.73/1.19 % (4095517)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4095390"
% 2.73/1.19 % (4095516)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3442079374:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.19 % (4095514)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=840784496:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.19 % (4095515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=538065653:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.19 % (4095518)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=900641238:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.19 % (4095519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4075094133:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.19 % (4095519)Also succeeded, but the first one will report.
% 2.73/1.19 % (4095518)Also succeeded, but the first one will report.
% 2.73/1.19 % (4095520)dis-21_1_sil=8000:lcm=predicate:random_seed=3836785285: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)
% 2.73/1.19 % (4095517)Refutation found. Thanks to Tanya!
% 2.73/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.19 % (4095517)------------------------------
% 2.73/1.19 % (4095517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.19 % (4095517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.19 % (4095517)CaDiCaL version: 2.1.3
% 2.73/1.19 % (4095517)Termination reason: Refutation
% 2.73/1.19 % (4095517)Time elapsed: 0.013 s
% 2.73/1.19 % (4095517)Peak memory usage: 88 MB
% 2.73/1.19 % (4095517)Instructions burned: 37 (million)
% 2.73/1.19 % (4095517)------------------------------
% 2.73/1.19 % (4095517)------------------------------
% 2.73/1.19 % (4095390)Success in time 0.294 s
% 2.73/1.19 % Vampire exiting
%------------------------------------------------------------------------------