%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN673-1 : 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 : n003.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 02:01:13 PM UTC 2026
% Result : Unsatisfiable 3.83s 1.21s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 40 ( 11 unt; 2 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 48 ~; 41 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f12,negated_conjecture,
! [X0] : p16(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_12) ).
fof(f17,negated_conjecture,
~ p29(f5(c33,f8(c34,c30)),c38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p29_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ p27(f12(c32,X1),X0)
| p29(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_18) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( p27(f12(c32,X0),X1)
| ~ p29(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_19) ).
fof(f20,negated_conjecture,
! [X0] :
( p28(f21(c30,X0),c31)
| ~ p16(X0,c40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_20) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( p10(X0,X1)
| ~ p10(X2,X0)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_22) ).
fof(f37,negated_conjecture,
! [X0] :
( p28(f21(c30,X0),c31)
| ~ p29(f24(c42,X0),c39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_37) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( p29(X0,X1)
| ~ p29(X2,X3)
| ~ p4(X2,X0)
| ~ p10(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_38) ).
fof(f41,negated_conjecture,
p10(c38,f14(f19(c35,f14(f19(c35,c37),c39)),f17(c36,c40))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_41) ).
fof(f52,negated_conjecture,
! [X0] :
( p29(f24(c42,f26(c43,X0)),c39)
| p29(f5(c33,f8(c34,c30)),X0)
| ~ p10(X0,f14(f19(c35,c37),c39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_52) ).
fof(f53,negated_conjecture,
! [X0] :
( ~ p28(f21(c30,f26(c43,X0)),c31)
| ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_53) ).
fof(f55,negated_conjecture,
! [X0,X1] :
( p27(f12(c32,f14(f19(c35,X0),f17(c36,X1))),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X1),c31)
| ~ p27(f12(c32,X0),f5(c33,f8(c34,c30))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_55) ).
fof(f58,plain,
! [X0,X1] :
( ~ p4(X0,f5(c33,f8(c34,c30)))
| ~ p29(X0,X1)
| ~ p10(X1,c38) ),
inference(resolution,[],[f38,f17]) ).
fof(f60,plain,
! [X0] :
( ~ p29(f5(c33,f8(c34,c30)),X0)
| ~ p10(X0,c38) ),
inference(resolution,[],[f58,f5]) ).
fof(f65,plain,
! [X0] :
( ~ p10(X0,f14(f19(c35,c37),c39))
| p29(f5(c33,f8(c34,c30)),X0)
| ~ p29(f24(c42,f26(c43,X0)),c39) ),
inference(resolution,[],[f53,f37]) ).
fof(f68,plain,
! [X0] :
( p29(f5(c33,f8(c34,c30)),X0)
| ~ p10(X0,f14(f19(c35,c37),c39)) ),
inference(forward_subsumption_resolution,[],[f65,f52]) ).
fof(f74,plain,
! [X0,X1] :
( p29(f5(c33,f8(c34,c30)),f14(f19(c35,X1),f17(c36,X0)))
| ~ p27(f12(c32,X1),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X0),c31) ),
inference(resolution,[],[f55,f18]) ).
fof(f94,plain,
! [X0,X1] :
( ~ p27(f12(c32,X0),f5(c33,f8(c34,c30)))
| ~ p28(f21(c30,X1),c31)
| ~ p10(f14(f19(c35,X0),f17(c36,X1)),c38) ),
inference(resolution,[],[f74,f60]) ).
fof(f220,plain,
! [X0,X1] :
( ~ p10(f14(f19(c35,X1),f17(c36,X0)),c38)
| ~ p28(f21(c30,X0),c31)
| ~ p29(f5(c33,f8(c34,c30)),X1) ),
inference(resolution,[],[f94,f19]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ p10(X2,f14(f19(c35,X1),f17(c36,X0)))
| ~ p29(f5(c33,f8(c34,c30)),X1)
| ~ p28(f21(c30,X0),c31)
| ~ p10(X2,c38) ),
inference(resolution,[],[f220,f22]) ).
fof(f1310,plain,
( ~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ p28(f21(c30,c40),c31)
| ~ p10(c38,c38) ),
inference(resolution,[],[f438,f41]) ).
fof(f1315,plain,
( ~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| ~ p28(f21(c30,c40),c31) ),
inference(forward_subsumption_resolution,[],[f1310,f1]) ).
fof(f1317,definition,
( spl0_23
<=> p28(f21(c30,c40),c31) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1318,plain,
( ~ p28(f21(c30,c40),c31)
| spl0_23 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1320,definition,
( spl0_24
<=> p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f1321,plain,
( ~ p29(f5(c33,f8(c34,c30)),f14(f19(c35,c37),c39))
| spl0_24 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1322,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1315,f1320,f1317]) ).
fof(f1324,plain,
( ~ p16(c40,c40)
| spl0_23 ),
inference(resolution,[],[f1318,f20]) ).
fof(f1326,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1324,f12]) ).
fof(f1327,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1335,plain,
( ~ p10(f14(f19(c35,c37),c39),f14(f19(c35,c37),c39))
| spl0_24 ),
inference(resolution,[],[f1321,f68]) ).
fof(f1345,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f1335,f1]) ).
fof(f1346,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f1345]) ).
cnf(s46,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f1322]) ).
cnf(s47,plain,
spl0_23,
inference(sat_conversion,[],[f1327]) ).
cnf(s48,plain,
spl0_24,
inference(sat_conversion,[],[f1346]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s46,s48,s47]) ).
fof(f1348,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN673-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:42:27 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.83/1.21 % (1740345)Input is clausal, will run a generic CNF schedule.
% 3.83/1.21 % (1740350)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=1234693455:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.83/1.21 % (1740351)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2788953686:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.83/1.21 % (1740352)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2838574312:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.83/1.21 % (1740355)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2841317938:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.83/1.21 % (1740354)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4055774834:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.83/1.21 % (1740356)dis-21_1_sil=8000:lcm=predicate:random_seed=2836171894: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)
% 3.83/1.21 % (1740353)lrs+10_1_sil=8000:sp=occurrence:random_seed=3822691913:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.83/1.21 % (1740354)First to succeed.
% 3.83/1.21 % (1740354)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1740345"
% 3.83/1.21 % (1740353)Instruction limit reached!
% 3.83/1.21 % (1740353)------------------------------
% 3.83/1.21 % (1740353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.21 % (1740353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.21 % (1740353)CaDiCaL version: 2.1.3
% 3.83/1.21 % (1740353)Termination reason: Instruction limit
% 3.83/1.21 % (1740353)Termination phase: Saturation
% 3.83/1.21 % (1740353)Time elapsed: 0.067 s
% 3.83/1.21 % (1740353)Peak memory usage: 89 MB
% 3.83/1.21 % (1740353)Instructions burned: 108 (million)
% 3.83/1.21 % (1740356)Instruction limit reached!
% 3.83/1.21 % (1740356)------------------------------
% 3.83/1.21 % (1740356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.21 % (1740356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.21 % (1740356)CaDiCaL version: 2.1.3
% 3.83/1.21 % (1740356)Termination reason: Instruction limit
% 3.83/1.21 % (1740356)Termination phase: Saturation
% 3.83/1.21 % (1740356)Time elapsed: 0.076 s
% 3.83/1.21 % (1740356)Peak memory usage: 88 MB
% 3.83/1.21 % (1740356)Instructions burned: 118 (million)
% 3.83/1.21 % (1740355)Instruction limit reached!
% 3.83/1.21 % (1740355)------------------------------
% 3.83/1.21 % (1740355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.21 % (1740355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.21 % (1740355)CaDiCaL version: 2.1.3
% 3.83/1.21 % (1740355)Termination reason: Instruction limit
% 3.83/1.21 % (1740355)Termination phase: Saturation
% 3.83/1.21 % (1740355)Time elapsed: 0.117 s
% 3.83/1.21 % (1740355)Peak memory usage: 89 MB
% 3.83/1.21 % (1740355)Instructions burned: 181 (million)
% 3.83/1.21 % (1740364)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=567448794:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.83/1.21 % (1740365)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1812444503: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)
% 3.83/1.21 % (1740366)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3504157111:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.83/1.21 % (1740354)Refutation found. Thanks to Tanya!
% 3.83/1.21 % SZS status Unsatisfiable for theBenchmark
% 3.83/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.21 % (1740354)------------------------------
% 3.83/1.21 % (1740354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.21 % (1740354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.21 % (1740354)CaDiCaL version: 2.1.3
% 3.83/1.21 % (1740354)Termination reason: Refutation
% 3.83/1.21 % (1740354)Time elapsed: 0.039 s
% 3.83/1.21 % (1740354)Peak memory usage: 89 MB
% 3.83/1.21 % (1740354)Instructions burned: 57 (million)
% 3.83/1.21 % (1740354)------------------------------
% 3.83/1.21 % (1740354)------------------------------
% 3.83/1.21 % (1740345)Success in time 0.464 s
% 3.83/1.21 % Vampire exiting
%------------------------------------------------------------------------------