%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:50:03 PM UTC 2026
% Result : Unsatisfiable 3.83s 1.36s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 13 unt; 3 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 28 ~; 21 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f101,axiom,
! [X0,X1] :
( p1(X0,X0,X1)
| ~ n0(d,X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_063) ).
fof(f109,axiom,
! [X2,X3,X0,X1] :
( p1(X0,X1,X0)
| ~ l0(X2)
| ~ p1(X1,X3,X0)
| ~ s0(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_071) ).
fof(f369,negated_conjecture,
~ p1(e,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f971,definition,
( spl0_173
<=> ! [X2] : ~ l0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f972,plain,
( ! [X2] : ~ l0(X2)
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f1069,definition,
( spl0_200
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
fof(f1070,plain,
( ~ s0(b)
| spl0_200 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1072,definition,
( spl0_201
<=> ! [X0,X1,X3] :
( p1(X0,X1,X0)
| ~ p1(X1,X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1073,plain,
( ! [X3,X0,X1] :
( p1(X0,X1,X0)
| ~ p1(X1,X3,X0) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1074,plain,
( ~ spl0_200
| spl0_173
| spl0_201 ),
inference(avatar_split_clause,[],[f109,f1072,f971,f1069]) ).
fof(f1401,plain,
( $false
| ~ spl0_173 ),
inference(resolution,[],[f972,f20]) ).
fof(f1404,plain,
~ spl0_173,
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1409,plain,
( $false
| spl0_200 ),
inference(forward_subsumption_resolution,[],[f1070,f5]) ).
fof(f1410,plain,
spl0_200,
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1923,plain,
( ! [X0] : ~ p1(c,X0,e)
| ~ spl0_201 ),
inference(resolution,[],[f1073,f369]) ).
fof(f1975,plain,
( ~ n0(d,c)
| ~ k0(e)
| ~ spl0_201 ),
inference(resolution,[],[f101,f1923]) ).
fof(f1978,plain,
( ~ k0(e)
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f1975,f26]) ).
fof(f1979,plain,
( $false
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f1978,f28]) ).
fof(f1980,plain,
~ spl0_201,
inference(avatar_contradiction_clause,[],[f1979]) ).
cnf(s98,plain,
( spl0_173
| ~ spl0_200
| spl0_201 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s160,plain,
~ spl0_173,
inference(sat_conversion,[],[f1404]) ).
cnf(s163,plain,
spl0_200,
inference(sat_conversion,[],[f1410]) ).
cnf(s301,plain,
~ spl0_201,
inference(sat_conversion,[],[f1980]) ).
cnf(s352,plain,
$false,
inference(rat,[],[s98,s301,s163,s160]) ).
fof(f1981,plain,
$false,
inference(avatar_sat_refutation,[],[s352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.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 15:40:23 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.83/1.36 % (4104960)Input is clausal, will run a generic CNF schedule.
% 3.83/1.36 % (4104983)lrs+10_1_sil=8000:sp=occurrence:random_seed=1488103248:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.83/1.36 % (4104983)Refutation not found, incomplete strategy
% 3.83/1.36 % (4104983)------------------------------
% 3.83/1.36 % (4104983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.36 % (4104983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.36 % (4104983)CaDiCaL version: 2.1.3
% 3.83/1.36 % (4104983)Termination reason: Refutation not found, incomplete strategy
% 3.83/1.36 % (4104983)Time elapsed: 0.002 s
% 3.83/1.36 % (4104983)Peak memory usage: 88 MB
% 3.83/1.36 % (4104983)Instructions burned: 4 (million)
% 3.83/1.36 % (4104981)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4242219333:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.83/1.36 % (4104985)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1568743849:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.83/1.36 % (4104982)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3817462503:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.83/1.36 % (4104980)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=3669709315:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.83/1.36 % (4104986)dis-21_1_sil=8000:lcm=predicate:random_seed=1597743726: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)
% 3.83/1.36 % (4104984)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3896094961:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.83/1.36 % (4104984)First to succeed.
% 3.83/1.36 % (4104984)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4104960"
% 3.83/1.36 % (4104985)Also succeeded, but the first one will report.
% 3.83/1.36 % (4104986)Instruction limit reached!
% 3.83/1.36 % (4104986)------------------------------
% 3.83/1.36 % (4104986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.36 % (4104986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.36 % (4104986)CaDiCaL version: 2.1.3
% 3.83/1.36 % (4104986)Termination reason: Instruction limit
% 3.83/1.36 % (4104986)Termination phase: Saturation
% 3.83/1.36 % (4104986)Time elapsed: 0.055 s
% 3.83/1.36 % (4104986)Peak memory usage: 89 MB
% 3.83/1.36 % (4104986)Instructions burned: 118 (million)
% 3.83/1.36 % (4104983)------------------------------
% 3.83/1.36 % (4104983)------------------------------
% 3.83/1.36 % (4104995)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=1469288875:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.83/1.36 % (4104995)Refutation not found, incomplete strategy
% 3.83/1.36 % (4104995)------------------------------
% 3.83/1.36 % (4104995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.36 % (4104995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.36 % (4104995)CaDiCaL version: 2.1.3
% 3.83/1.36 % (4104995)Termination reason: Refutation not found, incomplete strategy
% 3.83/1.36 % (4104995)Time elapsed: 0.002 s
% 3.83/1.36 % (4104995)Peak memory usage: 88 MB
% 3.83/1.36 % (4104995)Instructions burned: 1 (million)
% 3.83/1.36 % (4104996)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1449410813: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)
% 3.83/1.36 % (4104996)Also succeeded, but the first one will report.
% 3.83/1.36 % (4104984)Refutation found. Thanks to Tanya!
% 3.83/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.83/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.36 % (4104984)------------------------------
% 3.83/1.36 % (4104984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.36 % (4104984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.36 % (4104984)CaDiCaL version: 2.1.3
% 3.83/1.36 % (4104984)Termination reason: Refutation
% 3.83/1.36 % (4104984)Time elapsed: 0.019 s
% 3.83/1.36 % (4104984)Peak memory usage: 90 MB
% 3.83/1.36 % (4104984)Instructions burned: 29 (million)
% 3.83/1.36 % (4104984)------------------------------
% 3.83/1.36 % (4104984)------------------------------
% 3.83/1.36 % (4104960)Success in time 0.445 s
% 3.83/1.36 % Vampire exiting
%------------------------------------------------------------------------------