%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN598-1 : 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 : n020.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 02:01:03 PM UTC 2026
% Result : Unsatisfiable 2.56s 1.10s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 32 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p18_2) ).
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p19(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p19(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( p7(f11(X0,X1),f11(X2,X3))
| ~ p3(X1,X3)
| ~ p7(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( p7(f10(X0,X1),f10(X2,X3))
| ~ p7(X1,X3)
| ~ p7(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
fof(f27,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_27) ).
fof(f28,negated_conjecture,
! [X0] :
( p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0)))
| ~ p18(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
fof(f48,plain,
! [X0,X1] :
( ~ p7(X0,f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))
| ~ p7(X1,f8(f9(c21)))
| ~ p19(X0,X1) ),
inference(resolution,[],[f27,f23]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ p7(X2,f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))
| ~ p19(f10(X1,X2),X0)
| ~ p7(X0,f8(f9(c21)))
| ~ p7(X1,f11(f14(f12(f15(f13(c23)))),c22)) ),
inference(resolution,[],[f48,f26]) ).
fof(f80,plain,
! [X0,X1] :
( ~ p19(f10(X0,f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X1)
| ~ p7(X1,f8(f9(c21)))
| ~ p7(X0,f11(f14(f12(f15(f13(c23)))),c22)) ),
inference(resolution,[],[f61,f3]) ).
fof(f112,plain,
! [X0] :
( ~ p7(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),c22))
| ~ p7(f8(f9(X0)),f8(f9(c21)))
| ~ p18(X0) ),
inference(resolution,[],[f80,f28]) ).
fof(f174,plain,
! [X0] :
( ~ p7(f8(f9(X0)),f8(f9(c21)))
| ~ p18(X0)
| ~ p3(f4(f6(X0)),c22)
| ~ p7(f14(f12(f15(f13(c23)))),f14(f12(f15(f13(c23))))) ),
inference(resolution,[],[f112,f25]) ).
fof(f176,plain,
! [X0] :
( ~ p7(f8(f9(X0)),f8(f9(c21)))
| ~ p18(X0)
| ~ p3(f4(f6(X0)),c22) ),
inference(forward_subsumption_resolution,[],[f174,f3]) ).
fof(f178,plain,
( ~ p18(c21)
| ~ p3(f4(f6(c21)),c22) ),
inference(resolution,[],[f176,f3]) ).
fof(f180,plain,
~ p3(f4(f6(c21)),c22),
inference(forward_subsumption_resolution,[],[f178,f2]) ).
fof(f181,plain,
$false,
inference(forward_subsumption_resolution,[],[f180,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 % Computer : n020.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Mon Sep 28 16:35:06 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.27 Running first-order theorem proving
% 0.18/0.27 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
% 2.56/1.10 % (293034)Input is clausal, will run a generic CNF schedule.
% 2.56/1.10 % (293043)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3788822125:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.10 % (293043)First to succeed.
% 2.56/1.10 % (293043)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-293034"
% 2.56/1.10 % (293040)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1471021525:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.10 % (293045)dis-21_1_sil=8000:lcm=predicate:random_seed=2592259241: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)
% 2.56/1.10 % (293041)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2165021364:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.10 % (293039)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=4979188:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.10 % (293042)lrs+10_1_sil=8000:sp=occurrence:random_seed=1612097882:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.10 % (293045)Also succeeded, but the first one will report.
% 2.56/1.10 % (293044)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4097181455:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.10 % (293044)Also succeeded, but the first one will report.
% 2.56/1.10 % (293042)Instruction limit reached!
% 2.56/1.10 % (293042)------------------------------
% 2.56/1.10 % (293042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.10 % (293042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.10 % (293042)CaDiCaL version: 2.1.3
% 2.56/1.10 % (293042)Termination reason: Instruction limit
% 2.56/1.10 % (293042)Termination phase: Saturation
% 2.56/1.10 % (293042)Time elapsed: 0.060 s
% 2.56/1.10 % (293042)Peak memory usage: 88 MB
% 2.56/1.10 % (293042)Instructions burned: 109 (million)
% 2.56/1.10 % (293043)Refutation found. Thanks to Tanya!
% 2.56/1.10 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.10 % (293043)------------------------------
% 2.56/1.10 % (293043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.10 % (293043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.10 % (293043)CaDiCaL version: 2.1.3
% 2.56/1.10 % (293043)Termination reason: Refutation
% 2.56/1.10 % (293043)Time elapsed: 0.004 s
% 2.56/1.10 % (293043)Peak memory usage: 88 MB
% 2.56/1.10 % (293043)Instructions burned: 9 (million)
% 2.56/1.10 % (293043)------------------------------
% 2.56/1.10 % (293043)------------------------------
% 2.56/1.10 % (293034)Success in time 0.289 s
% 2.56/1.10 % Vampire exiting
%------------------------------------------------------------------------------