%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN690-1 : 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 02:01:15 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.23s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 10 unt; 3 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 102 ( 47 ~; 52 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).
fof(f20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_20) ).
fof(f21,negated_conjecture,
! [X0] : p4(f5(c40,X0),f5(f7(c39,c40),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).
fof(f22,negated_conjecture,
! [X0] : p4(f5(c38,X0),f5(f7(c39,c38),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).
fof(f57,negated_conjecture,
! [X2,X0,X1] :
( p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1))
| p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).
fof(f58,negated_conjecture,
! [X2,X0,X1] :
( p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1))
| ~ p4(f5(X0,f12(f14(f16(c41,X0),X2),X1)),f5(X2,f12(f14(f16(c41,X0),X2),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( p4(f5(f26(f28(c43,X2),X3),X4),f5(f26(f28(c44,X2),X3),X4))
| p2(X0,X1)
| ~ p34(c36,X2)
| ~ p35(f10(X2,X4),f30(f32(c42,X2),X3))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
fof(f62,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p34(c36,X2)
| p2(X0,X1)
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(f7(X3,f26(f28(c43,X2),X3)),f30(f32(c42,X2),X3)),f5(f7(X3,f26(f28(c44,X2),X3)),f30(f32(c42,X2),X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ p4(f5(f7(X2,f26(f28(c43,c37),X2)),f30(f32(c42,c37),X2)),f5(f7(X2,f26(f28(c44,c37),X2)),f30(f32(c42,c37),X2)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| p2(X0,X1) ),
inference(resolution,[],[f62,f19]) ).
fof(f126,plain,
! [X0,X1] :
( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1)
| ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))) ),
inference(resolution,[],[f116,f58]) ).
fof(f127,plain,
! [X0,X1] :
( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1)
| p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)) ),
inference(resolution,[],[f116,f57]) ).
fof(f132,definition,
( spl0_1
<=> p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f134,plain,
( p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl0_2
<=> ! [X0,X1] :
( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1)
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1))) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f137,plain,
( ! [X0,X1] :
( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1)
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f127,f136,f132]) ).
fof(f140,definition,
( spl0_3
<=> p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f142,plain,
( ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
| spl0_3 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f126,f136,f140]) ).
fof(f163,plain,
( ! [X0] :
( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),c40)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),c40)))
| p2(X0,c40) )
| ~ spl0_2 ),
inference(resolution,[],[f137,f21]) ).
fof(f186,plain,
( p2(c38,c40)
| ~ spl0_2 ),
inference(resolution,[],[f163,f22]) ).
fof(f194,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f186,f20]) ).
fof(f195,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f206,plain,
( ! [X0,X1] :
( p2(X0,X1)
| ~ p34(c36,c37)
| ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1))) )
| spl0_3 ),
inference(resolution,[],[f142,f61]) ).
fof(f210,plain,
( ! [X0,X1] :
( p2(X0,X1)
| ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1))) )
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f206,f19]) ).
fof(f211,plain,
( ! [X0,X1] :
( p2(X0,X1)
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1))) )
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f210,f134]) ).
fof(f212,plain,
( spl0_2
| ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f211,f140,f132,f136]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f138]) ).
cnf(s2,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f143]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f195]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f212]) ).
cnf(s5,plain,
~ spl0_3,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s4,s3,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s3,s6]) ).
fof(f213,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.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
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:51:48 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
% 1.87/1.13 % (484470)Input is clausal, will run a generic CNF schedule.
% 1.87/1.13 % (484479)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3103024988:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.87/1.13 % (484479)Instruction limit reached!
% 1.87/1.13 % (484479)------------------------------
% 1.87/1.13 % (484479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.13 % (484479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.13 % (484479)CaDiCaL version: 2.1.3
% 1.87/1.13 % (484479)Termination reason: Instruction limit
% 1.87/1.13 % (484479)Termination phase: Saturation
% 1.87/1.13 % (484479)Time elapsed: 0.037 s
% 1.87/1.13 % (484479)Peak memory usage: 89 MB
% 1.87/1.13 % (484479)Instructions burned: 115 (million)
% 1.87/1.13 % (484475)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=353122784:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.87/1.13 % (484476)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=950946417:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.87/1.13 % (484480)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3387122234:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.87/1.13 % (484481)dis-21_1_sil=8000:lcm=predicate:random_seed=304561486: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)
% 1.87/1.13 % (484478)lrs+10_1_sil=8000:sp=occurrence:random_seed=4288275257:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.87/1.13 % (484477)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2641216053:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.87/1.13 % (484480)First to succeed.
% 1.87/1.13 % (484480)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-484470"
% 1.87/1.13 % (484481)Instruction limit reached!
% 1.87/1.13 % (484481)------------------------------
% 1.87/1.13 % (484481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.13 % (484481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.13 % (484481)CaDiCaL version: 2.1.3
% 1.87/1.13 % (484481)Termination reason: Instruction limit
% 1.87/1.13 % (484481)Termination phase: Saturation
% 1.87/1.13 % (484481)Time elapsed: 0.067 s
% 1.87/1.13 % (484481)Peak memory usage: 88 MB
% 1.87/1.13 % (484481)Instructions burned: 118 (million)
% 1.87/1.13 % (484478)Instruction limit reached!
% 1.87/1.13 % (484478)------------------------------
% 1.87/1.13 % (484478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.13 % (484478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.13 % (484478)CaDiCaL version: 2.1.3
% 1.87/1.13 % (484478)Termination reason: Instruction limit
% 1.87/1.13 % (484478)Termination phase: Saturation
% 1.87/1.13 % (484478)Time elapsed: 0.070 s
% 1.87/1.13 % (484478)Peak memory usage: 89 MB
% 1.87/1.13 % (484478)Instructions burned: 107 (million)
% 1.87/1.13 % (484483)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=2404545865:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 1.87/1.13 % (484483)Instruction limit reached!
% 1.87/1.13 % (484483)------------------------------
% 1.87/1.13 % (484483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.13 % (484483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.13 % (484483)CaDiCaL version: 2.1.3
% 1.87/1.13 % (484483)Termination reason: Instruction limit
% 1.87/1.13 % (484483)Termination phase: Saturation
% 1.87/1.13 % (484483)Time elapsed: 0.052 s
% 1.87/1.13 % (484483)Peak memory usage: 89 MB
% 1.87/1.13 % (484483)Instructions burned: 145 (million)
% 1.87/1.13 % (484490)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=336545911: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)
% 1.87/1.13 % (484491)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3896204107:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 1.87/1.13 % (484490)Also succeeded, but the first one will report.
% 1.87/1.13 % (484480)Refutation found. Thanks to Tanya!
% 3.73/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.23 % (484480)------------------------------
% 3.73/1.23 % (484480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.23 % (484480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.23 % (484480)CaDiCaL version: 2.1.3
% 3.73/1.23 % (484480)Termination reason: Refutation
% 3.73/1.23 % (484480)Time elapsed: 0.012 s
% 3.73/1.23 % (484480)Peak memory usage: 89 MB
% 3.73/1.23 % (484480)Instructions burned: 19 (million)
% 3.73/1.23 % (484480)------------------------------
% 3.73/1.23 % (484480)------------------------------
% 3.73/1.23 % (484470)Success in time 0.446 s
% 3.73/1.23 % Vampire exiting
%------------------------------------------------------------------------------