%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN702-1 : 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 : n009.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 02:01:17 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.06s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 28 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 10 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f8,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
fof(f20,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_33) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] : ~ p47(f20(f22(f24(f26(c55,X0),X1),X2),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(X2,X0)
| ~ p47(X2,X3)
| ~ p7(X3,X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_52) ).
fof(f57,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3))
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).
fof(f73,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_73) ).
fof(f76,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).
fof(f79,negated_conjecture,
! [X2,X3,X0,X1] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c55,X0),X1),X2),X3)),f30(f32(f34(f36(c56,X0),X1),X2),X3)),f40(f42(f44(f46(c57,X0),X1),X2),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_79) ).
fof(f81,plain,
! [X2,X3,X0,X1,X4] :
( p47(X3,X2)
| ~ p7(X1,X2)
| ~ p47(X0,X1)
| ~ p4(X4,X0)
| ~ p4(X4,X3) ),
inference(resolution,[],[f52,f33]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[],[f57,f20]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p47(X4,X1)
| ~ p47(X2,X0)
| ~ p4(X3,X2)
| ~ p4(X3,f5(c48,f13(f16(f18(c50,X4),X5),X6)))
| ~ p7(X0,X1) ),
inference(resolution,[],[f81,f73]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4] : p4(f5(X0,f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4)),f5(X0,f13(f16(f18(c50,f20(f22(f24(f26(c55,X1),X2),X3),X4)),f30(f32(f34(f36(c56,X1),X2),X3),X4)),f40(f42(f44(f46(c57,X1),X2),X3),X4)))),
inference(resolution,[],[f79,f91]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p4(X2,X0)
| ~ p4(X2,f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,X3),X4),X5),X6)),X7),X8)))
| ~ p47(X0,X1)
| ~ p7(X1,X6) ),
inference(resolution,[],[f129,f51]) ).
fof(f710,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3)),X4)
| ~ p47(X4,X5)
| ~ p7(X5,X3) ),
inference(resolution,[],[f200,f132]) ).
fof(f726,plain,
! [X2,X3,X0,X1,X4] :
( ~ p7(X4,X3)
| ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3)),X4) ),
inference(resolution,[],[f710,f8]) ).
fof(f758,plain,
! [X2,X3,X0,X1] : ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3)),X3),
inference(resolution,[],[f726,f3]) ).
fof(f767,plain,
$false,
inference(resolution,[],[f758,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN702-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n009.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:47:16 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 2.54/1.06 % (3210254)Input is clausal, will run a generic CNF schedule.
% 2.54/1.06 % (3210265)dis-21_1_sil=8000:lcm=predicate:random_seed=1459749708: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)
% 2.54/1.06 % (3210265)First to succeed.
% 2.54/1.06 % (3210265)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3210254"
% 2.54/1.06 % (3210261)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3643953463:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/1.06 % (3210259)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=4214145072:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/1.06 % (3210260)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=494114318:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/1.06 % (3210262)lrs+10_1_sil=8000:sp=occurrence:random_seed=3480684915:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/1.06 % (3210263)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=565409264:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/1.06 % (3210264)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=265776358:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/1.06 % (3210264)Also succeeded, but the first one will report.
% 2.54/1.06 % (3210263)Also succeeded, but the first one will report.
% 2.54/1.06 % (3210262)Instruction limit reached!
% 2.54/1.06 % (3210262)------------------------------
% 2.54/1.06 % (3210262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.06 % (3210262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.06 % (3210262)CaDiCaL version: 2.1.3
% 2.54/1.06 % (3210262)Termination reason: Instruction limit
% 2.54/1.06 % (3210262)Termination phase: Saturation
% 2.54/1.06 % (3210262)Time elapsed: 0.067 s
% 2.54/1.06 % (3210262)Peak memory usage: 88 MB
% 2.54/1.06 % (3210262)Instructions burned: 109 (million)
% 2.54/1.06 % (3210265)Refutation found. Thanks to Tanya!
% 2.54/1.06 % SZS status Unsatisfiable for theBenchmark
% 2.54/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.06 % (3210265)------------------------------
% 2.54/1.06 % (3210265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.06 % (3210265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.06 % (3210265)CaDiCaL version: 2.1.3
% 2.54/1.06 % (3210265)Termination reason: Refutation
% 2.54/1.06 % (3210265)Time elapsed: 0.013 s
% 2.54/1.06 % (3210265)Peak memory usage: 88 MB
% 2.54/1.06 % (3210265)Instructions burned: 38 (million)
% 2.54/1.06 % (3210265)------------------------------
% 2.54/1.06 % (3210265)------------------------------
% 2.54/1.06 % (3210254)Success in time 0.281 s
% 2.54/1.06 % Vampire exiting
%------------------------------------------------------------------------------