%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN718-1 : 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 : n005.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 5.29s 1.53s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,negated_conjecture,
! [X0] : p25(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
fof(f26,negated_conjecture,
! [X0] : p20(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).
fof(f36,negated_conjecture,
p3(c84,f10(c72,c73)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
fof(f72,negated_conjecture,
! [X2,X0,X1] :
( p57(f26(f30(c85,X0),X1),X2)
| ~ p57(f26(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_72) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1] :
( p57(X0,X1)
| ~ p25(X2,X0)
| ~ p57(X2,X3)
| ~ p21(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_76) ).
fof(f80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_80) ).
fof(f81,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_81) ).
fof(f101,negated_conjecture,
! [X2,X3,X0,X1] :
( p21(f22(X0,X1),f22(X2,X3))
| ~ p20(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_101) ).
fof(f105,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_105) ).
fof(f107,negated_conjecture,
! [X2,X3,X0,X1] :
( p57(f26(f30(c85,X0),X1),X2)
| ~ p57(f26(f30(c85,X0),X1),X3)
| ~ p57(f26(f30(c85,X0),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_107) ).
fof(f155,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(unit_resulting_resolution,[],[f72,f80]) ).
fof(f160,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(unit_resulting_resolution,[],[f72,f81]) ).
fof(f281,plain,
! [X0] : p21(f22(X0,c84),f22(X0,f10(c72,c73))),
inference(unit_resulting_resolution,[],[f101,f36,f26]) ).
fof(f321,plain,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)),
inference(unit_resulting_resolution,[],[f76,f281,f23,f105]) ).
fof(f407,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)),
inference(unit_resulting_resolution,[],[f107,f155,f160]) ).
fof(f412,plain,
$false,
inference(forward_subsumption_resolution,[],[f407,f321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n005.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 16:48:46 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 5.29/1.53 % (923133)Input is clausal, will run a generic CNF schedule.
% 5.29/1.53 % (923144)dis-21_1_sil=8000:lcm=predicate:random_seed=1811394031: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)
% 5.29/1.53 % (923144)Instruction limit reached!
% 5.29/1.53 % (923144)------------------------------
% 5.29/1.53 % (923144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923144)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923144)Termination reason: Instruction limit
% 5.29/1.53 % (923144)Termination phase: Saturation
% 5.29/1.53 % (923144)Time elapsed: 0.041 s
% 5.29/1.53 % (923144)Peak memory usage: 89 MB
% 5.29/1.53 % (923144)Instructions burned: 119 (million)
% 5.29/1.53 % (923142)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2805052438:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.29/1.53 % (923143)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3502708986:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.29/1.53 % (923139)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2932346915:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.29/1.53 % (923138)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=501655015:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.29/1.53 % (923140)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3934550738:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.29/1.53 % (923141)lrs+10_1_sil=8000:sp=occurrence:random_seed=3193971371:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.29/1.53 % (923141)Instruction limit reached!
% 5.29/1.53 % (923141)------------------------------
% 5.29/1.53 % (923141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923141)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923141)Termination reason: Instruction limit
% 5.29/1.53 % (923141)Termination phase: Saturation
% 5.29/1.53 % (923141)Time elapsed: 0.068 s
% 5.29/1.53 % (923141)Peak memory usage: 89 MB
% 5.29/1.53 % (923141)Instructions burned: 107 (million)
% 5.29/1.53 % (923142)Instruction limit reached!
% 5.29/1.53 % (923142)------------------------------
% 5.29/1.53 % (923142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923142)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923142)Termination reason: Instruction limit
% 5.29/1.53 % (923142)Termination phase: Saturation
% 5.29/1.53 % (923142)Time elapsed: 0.078 s
% 5.29/1.53 % (923142)Peak memory usage: 88 MB
% 5.29/1.53 % (923142)Instructions burned: 114 (million)
% 5.29/1.53 % (923152)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1296248360:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.29/1.53 % (923143)Instruction limit reached!
% 5.29/1.53 % (923143)------------------------------
% 5.29/1.53 % (923143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923143)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923143)Termination reason: Instruction limit
% 5.29/1.53 % (923143)Termination phase: Saturation
% 5.29/1.53 % (923143)Time elapsed: 0.123 s
% 5.29/1.53 % (923143)Peak memory usage: 89 MB
% 5.29/1.53 % (923143)Instructions burned: 180 (million)
% 5.29/1.53 % (923152)Instruction limit reached!
% 5.29/1.53 % (923152)------------------------------
% 5.29/1.53 % (923152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923152)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923152)Termination reason: Instruction limit
% 5.29/1.53 % (923152)Termination phase: Saturation
% 5.29/1.53 % (923152)Time elapsed: 0.053 s
% 5.29/1.53 % (923152)Peak memory usage: 89 MB
% 5.29/1.53 % (923152)Instructions burned: 146 (million)
% 5.29/1.53 % (923153)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=56318023:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.29/1.53 % (923154)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=687224675:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.29/1.53 % (923153)First to succeed.
% 5.29/1.53 % (923153)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-923133"
% 5.29/1.53 % (923156)lrs+10_64_to=lpo:sil=8000:random_seed=1596026098:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.29/1.53 % (923157)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1496819244:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.29/1.53 % (923156)Instruction limit reached!
% 5.29/1.53 % (923156)------------------------------
% 5.29/1.53 % (923156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923156)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923156)Termination reason: Instruction limit
% 5.29/1.53 % (923156)Termination phase: Saturation
% 5.29/1.53 % (923156)Time elapsed: 0.074 s
% 5.29/1.53 % (923156)Peak memory usage: 90 MB
% 5.29/1.53 % (923156)Instructions burned: 127 (million)
% 5.29/1.53 % (923157)Instruction limit reached!
% 5.29/1.53 % (923157)------------------------------
% 5.29/1.53 % (923157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923157)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923157)Termination reason: Instruction limit
% 5.29/1.53 % (923157)Termination phase: Saturation
% 5.29/1.53 % (923157)Time elapsed: 0.047 s
% 5.29/1.53 % (923157)Peak memory usage: 88 MB
% 5.29/1.53 % (923157)Instructions burned: 199 (million)
% 5.29/1.53 % (923154)Instruction limit reached!
% 5.29/1.53 % (923154)------------------------------
% 5.29/1.53 % (923154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923154)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923154)Termination reason: Instruction limit
% 5.29/1.53 % (923154)Termination phase: Saturation
% 5.29/1.53 % (923154)Time elapsed: 0.144 s
% 5.29/1.53 % (923154)Peak memory usage: 90 MB
% 5.29/1.53 % (923154)Instructions burned: 219 (million)
% 5.29/1.53 % (923153)Refutation found. Thanks to Tanya!
% 5.29/1.53 % SZS status Unsatisfiable for theBenchmark
% 5.29/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.53 % (923153)------------------------------
% 5.29/1.53 % (923153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.53 % (923153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.53 % (923153)CaDiCaL version: 2.1.3
% 5.29/1.53 % (923153)Termination reason: Refutation
% 5.29/1.53 % (923153)Time elapsed: 0.010 s
% 5.29/1.53 % (923153)Peak memory usage: 88 MB
% 5.29/1.53 % (923153)Instructions burned: 15 (million)
% 5.29/1.53 % (923153)------------------------------
% 5.29/1.53 % (923153)------------------------------
% 5.29/1.53 % (923133)Success in time 0.655 s
% 5.29/1.53 % Vampire exiting
%------------------------------------------------------------------------------