%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN687-1 : 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 : n008.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 02:01:15 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.40s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_23) ).
fof(f40,negated_conjecture,
! [X0] : ~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_40) ).
fof(f55,negated_conjecture,
! [X2,X0,X1] :
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_55) ).
fof(f56,negated_conjecture,
! [X2,X0,X1] :
( p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1))
| ~ p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_56) ).
fof(f57,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2))
| p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))
| ~ p34(c36,X0)
| ~ p35(f12(X0,X2),f30(f32(c45,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).
fof(f58,negated_conjecture,
! [X2,X0,X1] :
( p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2))
| ~ p34(c36,X0)
| ~ p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
fof(f61,plain,
! [X0,X1] :
( ~ p4(X0,f5(f9(c39,X1),f7(c38,X1)))
| ~ p4(X0,f5(X1,f7(c38,X1))) ),
inference(resolution,[],[f40,f23]) ).
fof(f94,plain,
! [X0] :
( ~ p34(c36,X0)
| ~ p4(f5(f9(c39,f26(f28(c46,X0),c39)),f30(f32(c45,X0),c39)),f5(f9(c39,f26(f28(c47,X0),c39)),f30(f32(c45,X0),c39))) ),
inference(resolution,[],[f58,f40]) ).
fof(f114,plain,
~ p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),
inference(resolution,[],[f94,f19]) ).
fof(f191,plain,
~ p4(f5(f26(f28(c46,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f5(f26(f28(c47,c37),c39),f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))),
inference(resolution,[],[f114,f56]) ).
fof(f415,plain,
! [X0] :
( p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
| ~ p34(c36,c37)
| ~ p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)) ),
inference(resolution,[],[f191,f57]) ).
fof(f417,plain,
! [X0] :
( p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
| ~ p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)) ),
inference(forward_subsumption_resolution,[],[f415,f19]) ).
fof(f420,definition,
( spl0_6
<=> p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f422,plain,
( ~ p35(f12(c37,f14(f16(f18(c40,f26(f28(c46,c37),c39)),f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),f30(f32(c45,c37),c39))
| spl0_6 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl0_7
<=> ! [X0] : p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f425,plain,
( ! [X0] : p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f417,f424,f420]) ).
fof(f720,plain,
( p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39)))
| spl0_6 ),
inference(resolution,[],[f422,f55]) ).
fof(f722,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f720,f114]) ).
fof(f723,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f728,plain,
( ~ p4(f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))),f5(f26(f28(c46,c37),c39),f7(c38,f26(f28(c46,c37),c39))))
| ~ spl0_7 ),
inference(resolution,[],[f425,f61]) ).
fof(f760,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f728,f4]) ).
fof(f761,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f760]) ).
cnf(s4,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f426]) ).
cnf(s10,plain,
spl0_6,
inference(sat_conversion,[],[f723]) ).
cnf(s20,plain,
~ spl0_7,
inference(sat_conversion,[],[f761]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s4,s20,s10]) ).
fof(f762,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n008.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 16:46:40 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running first-order theorem proving
% 0.23/0.29 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
% 0.25/1.40 % (2388789)Input is clausal, will run a generic CNF schedule.
% 0.25/1.40 % (2388798)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1939300116:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.25/1.40 % (2388799)lrs+10_1_sil=8000:sp=occurrence:random_seed=1221510995:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.25/1.40 % (2388796)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=3015048890:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.25/1.40 % (2388797)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2940371145:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.25/1.40 % (2388802)dis-21_1_sil=8000:lcm=predicate:random_seed=647861757: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)
% 0.25/1.40 % (2388800)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3923049813:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.25/1.40 % (2388801)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2212984328:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.25/1.40 % (2388801)First to succeed.
% 0.25/1.40 % (2388801)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2388789"
% 0.25/1.40 % (2388800)Also succeeded, but the first one will report.
% 0.25/1.40 % (2388802)Instruction limit reached!
% 0.25/1.40 % (2388802)------------------------------
% 0.25/1.40 % (2388802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.40 % (2388802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.40 % (2388802)CaDiCaL version: 2.1.3
% 0.25/1.40 % (2388802)Termination reason: Instruction limit
% 0.25/1.40 % (2388802)Termination phase: Saturation
% 0.25/1.40 % (2388802)Time elapsed: 0.065 s
% 0.25/1.40 % (2388802)Peak memory usage: 88 MB
% 0.25/1.40 % (2388802)Instructions burned: 118 (million)
% 0.25/1.40 % (2388799)Instruction limit reached!
% 0.25/1.40 % (2388799)------------------------------
% 0.25/1.40 % (2388799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.40 % (2388799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.40 % (2388799)CaDiCaL version: 2.1.3
% 0.25/1.40 % (2388799)Termination reason: Instruction limit
% 0.25/1.40 % (2388799)Termination phase: Saturation
% 0.25/1.40 % (2388799)Time elapsed: 0.068 s
% 0.25/1.40 % (2388799)Peak memory usage: 89 MB
% 0.25/1.40 % (2388799)Instructions burned: 108 (million)
% 0.25/1.40 % (2388869)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=2799278597:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.25/1.40 % (2388872)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=168573620: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)
% 0.25/1.40 % (2388872)Also succeeded, but the first one will report.
% 0.25/1.40 % (2388801)Refutation found. Thanks to Tanya!
% 0.25/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.25/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/1.41 % (2388801)------------------------------
% 0.25/1.41 % (2388801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.41 % (2388801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.41 % (2388801)CaDiCaL version: 2.1.3
% 0.25/1.41 % (2388801)Termination reason: Refutation
% 0.25/1.41 % (2388801)Time elapsed: 0.033 s
% 0.25/1.41 % (2388801)Peak memory usage: 89 MB
% 0.25/1.41 % (2388801)Instructions burned: 45 (million)
% 0.25/1.41 % (2388801)------------------------------
% 0.25/1.41 % (2388801)------------------------------
% 0.25/1.41 % (2388789)Success in time 0.421 s
% 0.25/1.41 % Vampire exiting
%------------------------------------------------------------------------------