%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN715-1 : 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 : n001.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 02:01:19 PM UTC 2026
% Result : Unsatisfiable 0.22s 1.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 24 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,negated_conjecture,
! [X0] : p27(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_23) ).
fof(f28,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f67,negated_conjecture,
! [X2,X3,X0,X1] :
( p62(X0,X1)
| ~ p4(X2,X0)
| ~ p62(X2,X3)
| ~ p27(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_67) ).
fof(f69,negated_conjecture,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_69) ).
fof(f86,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_86) ).
fof(f97,negated_conjecture,
! [X2,X3,X0,X1] :
( p62(X0,X1)
| ~ p62(f5(c64,f16(f19(f21(c66,X0),X2),X3)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
fof(f100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
fof(f101,negated_conjecture,
! [X2,X3,X0,X1] :
( p63(f24(f26(f30(c73,X0),X1),X2),X3)
| ~ p63(f24(f26(f30(c73,X2),X3),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p63_101) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p63(f24(f26(f30(c73,X0),X1),f31(X2,X3)),f28(X4,X3))
| ~ p62(f33(f35(f37(f39(f41(c74,X5),X2),X4),X0),X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p63_103) ).
fof(f106,negated_conjecture,
! [X2,X3,X0,X1,X4] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_106) ).
fof(f107,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p63(f24(f26(f30(c73,f31(X1,X5)),f28(X2,X5)),X3),X4)
| ~ p62(f33(f35(f37(f39(f41(c74,X0),X1),X2),X3),X4),X5) ),
inference(resolution,[],[f103,f101]) ).
fof(f109,plain,
! [X0] : ~ p62(f33(f35(f37(f39(f41(c74,X0),c68),c69),c70),c71),c72),
inference(resolution,[],[f107,f69]) ).
fof(f113,plain,
! [X2,X0,X1] : ~ p62(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X0),c68),c69),c70),c71)),X1),X2)),c72),
inference(resolution,[],[f109,f97]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] :
( ~ p27(X4,c72)
| ~ p62(X0,X4)
| ~ p4(X0,f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),c68),c69),c70),c71)),X2),X3))) ),
inference(resolution,[],[f113,f67]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ p4(X0,f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),c68),c69),c70),c71)),X2),X3)))
| ~ p62(X0,c72) ),
inference(resolution,[],[f150,f23]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4] :
( ~ p2(X0,c64)
| ~ p62(f5(X0,X1),c72)
| ~ p3(X1,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X2),c68),c69),c70),c71)),X3),X4)) ),
inference(resolution,[],[f226,f86]) ).
fof(f935,plain,
! [X2,X3,X0,X1] :
( ~ p3(X0,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X1),c68),c69),c70),c71)),X2),X3))
| ~ p62(f5(c64,X0),c72) ),
inference(resolution,[],[f421,f28]) ).
fof(f940,plain,
! [X0] : ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,X0),c68),c69)),c70),c71)),c72),
inference(resolution,[],[f935,f106]) ).
fof(f943,plain,
$false,
inference(resolution,[],[f940,f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN715-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n001.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 16:54:34 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 0.22/1.30 % (487066)Input is clausal, will run a generic CNF schedule.
% 0.22/1.30 % (487085)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3840152112:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.22/1.30 % (487085)First to succeed.
% 0.22/1.30 % (487085)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-487066"
% 0.22/1.30 % (487086)dis-21_1_sil=8000:lcm=predicate:random_seed=1445820442: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)
% 0.22/1.30 % (487080)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=2395526083:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.22/1.30 % (487081)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3504695633:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.22/1.30 % (487082)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=454925027:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.22/1.30 % (487084)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3345431616:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.22/1.30 % (487083)lrs+10_1_sil=8000:sp=occurrence:random_seed=970987623:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.22/1.30 % (487084)Also succeeded, but the first one will report.
% 0.22/1.30 % (487086)Also succeeded, but the first one will report.
% 0.22/1.30 % (487083)Instruction limit reached!
% 0.22/1.30 % (487083)------------------------------
% 0.22/1.30 % (487083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (487083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (487083)CaDiCaL version: 2.1.3
% 0.22/1.30 % (487083)Termination reason: Instruction limit
% 0.22/1.30 % (487083)Termination phase: Saturation
% 0.22/1.30 % (487083)Time elapsed: 0.066 s
% 0.22/1.30 % (487083)Peak memory usage: 89 MB
% 0.22/1.30 % (487083)Instructions burned: 108 (million)
% 0.22/1.30 % (487085)Refutation found. Thanks to Tanya!
% 0.22/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.22/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.30 % (487085)------------------------------
% 0.22/1.30 % (487085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.30 % (487085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.30 % (487085)CaDiCaL version: 2.1.3
% 0.22/1.30 % (487085)Termination reason: Refutation
% 0.22/1.30 % (487085)Time elapsed: 0.030 s
% 0.22/1.30 % (487085)Peak memory usage: 89 MB
% 0.22/1.30 % (487085)Instructions burned: 80 (million)
% 0.22/1.30 % (487085)------------------------------
% 0.22/1.30 % (487085)------------------------------
% 0.22/1.30 % (487066)Success in time 0.297 s
% 0.22/1.31 % Vampire exiting
%------------------------------------------------------------------------------