%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN202-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:07:00 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.38s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 63 ( 24 unt; 8 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 159 ( 77 ~; 74 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 9 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f135,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_097) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f225,axiom,
! [X2,X3,X0,X1] :
( q2(X0,X1,X0)
| ~ r1(X1)
| ~ m0(X2,X3,X0)
| ~ k0(X1)
| ~ q2(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_187) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f369,negated_conjecture,
~ s2(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f855,definition,
( spl0_123
<=> s2(e) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f857,plain,
( ~ s2(e)
| spl0_123 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f877,plain,
( s0(d)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f885,definition,
( spl0_130
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f889,definition,
( spl0_131
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f890,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| s2(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f891,plain,
( ~ spl0_130
| spl0_131 ),
inference(avatar_split_clause,[],[f227,f889,f885]) ).
fof(f1161,definition,
( spl0_199
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1163,plain,
( ~ spl0_128
| spl0_199 ),
inference(avatar_split_clause,[],[f162,f1161,f876]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1187,plain,
( k0(e)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1249,definition,
( spl0_221
<=> ! [X0] :
( q1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
fof(f1250,plain,
( ! [X0] :
( q1(X0,X0,X0)
| ~ s0(X0) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1252,plain,
spl0_221,
inference(avatar_split_clause,[],[f135,f1249]) ).
fof(f1556,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1186]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1569,plain,
~ spl0_123,
inference(avatar_split_clause,[],[f369,f855]) ).
fof(f1655,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1659,plain,
spl0_130,
inference(avatar_split_clause,[],[f1655,f885]) ).
fof(f1854,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f2087,plain,
! [X0] : q2(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f219,f1854]) ).
fof(f2403,plain,
( ! [X0] :
( r1(X0)
| ~ q0(X0,d)
| ~ s0(d) )
| ~ spl0_199
| ~ spl0_221 ),
inference(resolution,[],[f1162,f1250]) ).
fof(f2411,plain,
( ! [X0] :
( r1(X0)
| ~ q0(X0,d) )
| ~ spl0_128
| ~ spl0_199
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f2403,f877]) ).
fof(f2420,definition,
( spl0_298
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
fof(f2421,plain,
( ! [X0] : r1(X0)
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f2423,plain,
( ! [X0] : r1(X0)
| ~ spl0_128
| ~ spl0_199
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f2411,f17]) ).
fof(f2427,plain,
( spl0_298
| ~ spl0_128
| ~ spl0_199
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2423,f1249,f1161,f876,f2420]) ).
fof(f3418,plain,
( ! [X2,X3,X0,X1] :
( q2(X0,X1,X0)
| ~ m0(X2,X3,X0)
| ~ k0(X1)
| ~ q2(X1,X1,X1) )
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f225,f2421]) ).
fof(f3419,plain,
( ! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X0)
| q2(X0,X1,X0)
| ~ k0(X1) )
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f3418,f2087]) ).
fof(f3432,plain,
( ! [X0,X1] :
( q2(X0,X1,X0)
| ~ k0(X1) )
| ~ spl0_298 ),
inference(resolution,[],[f3419,f19]) ).
fof(f3715,plain,
( ! [X0] :
( ~ k0(X0)
| s2(X0) )
| ~ spl0_131
| ~ spl0_298 ),
inference(resolution,[],[f3432,f890]) ).
fof(f3724,plain,
( s2(e)
| ~ spl0_131
| ~ spl0_205
| ~ spl0_298 ),
inference(resolution,[],[f3715,f1187]) ).
fof(f3725,plain,
( $false
| spl0_123
| ~ spl0_131
| ~ spl0_205
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f3724,f857]) ).
fof(f3726,plain,
( spl0_123
| ~ spl0_131
| ~ spl0_205
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f3725]) ).
cnf(s60,plain,
( ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f891]) ).
cnf(s92,plain,
( ~ spl0_128
| spl0_199 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s106,plain,
spl0_221,
inference(sat_conversion,[],[f1252]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1556]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s169,plain,
~ spl0_123,
inference(sat_conversion,[],[f1569]) ).
cnf(s212,plain,
spl0_130,
inference(sat_conversion,[],[f1659]) ).
cnf(s350,plain,
( ~ spl0_128
| ~ spl0_199
| ~ spl0_221
| spl0_298 ),
inference(sat_conversion,[],[f2427]) ).
cnf(s468,plain,
( spl0_123
| ~ spl0_131
| ~ spl0_205
| ~ spl0_298 ),
inference(sat_conversion,[],[f3726]) ).
cnf(s558,plain,
spl0_199,
inference(rat,[],[s92,s168]) ).
cnf(s559,plain,
spl0_298,
inference(rat,[],[s350,s106,s168,s558]) ).
cnf(s565,plain,
~ spl0_131,
inference(rat,[],[s468,s156,s169,s559]) ).
cnf(s606,plain,
$false,
inference(rat,[],[s60,s565,s212]) ).
fof(f3727,plain,
$false,
inference(avatar_sat_refutation,[],[s606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN202-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n019.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 15:38:34 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.38 % (4101536)Will run a generic schedule for satisfiability detection.
% 0.23/0.38 % (4101547)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1316577210:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.38 % (4101546)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3233115448:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.38 % (4101542)% WARNING: option uhcvi not known.
% 0.23/0.38 % (4101545)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1576008124:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.38 % (4101543)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4023831344:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.38 % (4101544)dis+10_1_sil=32000:sp=arity:random_seed=1569027001:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.38 % (4101542)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1588245893:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.38 % (4101541)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=54275862_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.38 % Detected minimum model sizes of [1]
% 0.23/0.38 % Detected maximum model sizes of [5]
% 0.23/0.38 % TRYING [1]
% 0.23/0.38 % TRYING [2]
% 0.23/0.38 % TRYING [3]
% 0.23/0.38 % (4101544) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4101536-4101544"...
% 0.23/0.38 % (4101544)...printing done.
% 0.23/0.38 % (4101547) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4101536-4101547"...
% 0.23/0.38 % (4101544)Refutation found. Thanks to Tanya!
% 0.23/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.38 % (4101544)------------------------------
% 0.23/0.38 % (4101544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.38 % (4101544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.38 % (4101544)CaDiCaL version: 2.1.3
% 0.23/0.38 % (4101544)Termination reason: Refutation
% 0.23/0.38 % (4101544)Time elapsed: 0.060 s
% 0.23/0.38 % (4101544)Peak memory usage: 13 MB
% 0.23/0.38 % (4101544)Instructions burned: 56 (million)
% 0.23/0.38 % (4101536)Success in time 0.107 s
% 0.23/0.38 % Vampire exiting
%------------------------------------------------------------------------------