%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN171-1 : 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 : n014.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 01:49:50 PM UTC 2026
% Result : Unsatisfiable 3.02s 1.10s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 52
% Syntax : Number of formulae : 171 ( 36 unt; 20 def)
% Number of atoms : 385 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 433 ( 219 ~; 194 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 21 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 136 ( 0 sgn 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f123,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f131,axiom,
! [X0,X1] :
( q1(X0,X0,X0)
| ~ q0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_093) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f173,axiom,
! [X2,X0,X1] :
( m2(X0)
| ~ s0(X0)
| ~ l1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_135) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).
fof(f226,axiom,
! [X0] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).
fof(f230,axiom,
! [X2,X3,X0,X1] :
( k3(X0,X1,X0)
| ~ s1(X1)
| ~ p2(X2,X1,X3)
| ~ n0(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_192) ).
fof(f248,axiom,
! [X0] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).
fof(f273,axiom,
! [X0,X1] :
( m3(X0,X0,X1)
| ~ r2(X1)
| ~ k3(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_235) ).
fof(f284,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ l2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_246) ).
fof(f302,axiom,
! [X0] :
( r3(X0,X0,X0)
| ~ s2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_264) ).
fof(f306,axiom,
! [X2,X3,X0,X1] :
( r3(X0,X0,X1)
| ~ m2(X1)
| ~ m3(X2,b,X0)
| ~ r3(X1,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_268) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).
fof(f326,axiom,
! [X2,X3,X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0)
| ~ p4(X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_288) ).
fof(f327,axiom,
! [X2,X3,X0,X1] :
( p4(X0,X0,X0)
| ~ l4(X0)
| ~ n0(X0,X1)
| ~ p4(X2,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_289) ).
fof(f369,negated_conjecture,
~ p4(d,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f389,definition,
( spl0_6
<=> ! [X0,X1] : ~ p4(X0,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f390,plain,
( ! [X0,X1] : ~ p4(X0,X0,X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f413,definition,
( spl0_13
<=> ! [X2,X3] : ~ p4(X2,X3,X2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f414,plain,
( ! [X2,X3] : ~ p4(X2,X3,X2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,definition,
( spl0_14
<=> ! [X0,X1] :
( p4(X0,X0,X0)
| ~ n0(X0,X1)
| ~ l4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f417,plain,
( ! [X0,X1] :
( p4(X0,X0,X0)
| ~ n0(X0,X1)
| ~ l4(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f327,f416,f413]) ).
fof(f440,definition,
( spl0_21
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f441,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f458,definition,
( spl0_26
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f459,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,definition,
( spl0_27
<=> ! [X0] :
( m2(X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f462,plain,
( ! [X0] :
( m2(X0)
| ~ s0(X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f463,plain,
( spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f173,f461,f458]) ).
fof(f482,definition,
( spl0_33
<=> m2(d) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f483,plain,
( ~ m2(d)
| spl0_33 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f502,definition,
( spl0_39
<=> r2(a) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f503,plain,
( ~ r2(a)
| spl0_39 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f640,definition,
( spl0_79
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f641,plain,
( ~ s0(d)
| spl0_79 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f643,definition,
( spl0_80
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( ~ spl0_79
| spl0_80 ),
inference(avatar_split_clause,[],[f162,f643,f640]) ).
fof(f715,definition,
( spl0_101
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f1024,definition,
( spl0_187
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
fof(f1025,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1026,plain,
( spl0_21
| spl0_187 ),
inference(avatar_split_clause,[],[f164,f1024,f440]) ).
fof(f1028,definition,
( spl0_188
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1029,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1031,definition,
( spl0_189
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f1032,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1033,plain,
( spl0_188
| spl0_189 ),
inference(avatar_split_clause,[],[f171,f1031,f1028]) ).
fof(f1059,definition,
( spl0_197
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
fof(f1060,plain,
( ~ s1(a)
| spl0_197 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1061,plain,
( s2(d)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f1062,plain,
( ~ spl0_79
| ~ spl0_197
| spl0_101 ),
inference(avatar_split_clause,[],[f228,f715,f1059,f640]) ).
fof(f1301,definition,
( spl0_263
<=> ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
fof(f1302,plain,
( ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1303,plain,
( spl0_6
| spl0_263 ),
inference(avatar_split_clause,[],[f326,f1301,f389]) ).
fof(f1393,plain,
( $false
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f641,f1]) ).
fof(f1394,plain,
spl0_79,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1417,plain,
( $false
| ~ spl0_188 ),
inference(resolution,[],[f1029,f14]) ).
fof(f1418,plain,
~ spl0_188,
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1500,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f163,f441]) ).
fof(f1501,plain,
( spl0_188
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1500,f440,f1028]) ).
fof(f1507,plain,
( ! [X0] : s1(X0)
| ~ spl0_187 ),
inference(resolution,[],[f1025,f17]) ).
fof(f1511,plain,
( s1(a)
| ~ spl0_187 ),
inference(resolution,[],[f1025,f36]) ).
fof(f1514,plain,
( $false
| ~ spl0_187
| spl0_197 ),
inference(forward_subsumption_resolution,[],[f1511,f1060]) ).
fof(f1515,plain,
( ~ spl0_187
| spl0_197 ),
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1534,plain,
( ! [X0,X1] : ~ n0(X1,X0)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f40,f459]) ).
fof(f1535,plain,
( $false
| ~ spl0_26 ),
inference(resolution,[],[f1534,f3]) ).
fof(f1550,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1644,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_187
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f1032,f1507]) ).
fof(f1658,plain,
! [X0,X1] :
( ~ p0(X0,X1)
| n2(X1) ),
inference(resolution,[],[f123,f175]) ).
fof(f1706,plain,
! [X0] :
( ~ l2(X0,X0)
| l4(X0) ),
inference(resolution,[],[f284,f315]) ).
fof(f1709,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1658,f14]) ).
fof(f1748,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_187
| ~ spl0_189 ),
inference(resolution,[],[f1644,f19]) ).
fof(f1767,plain,
( ! [X0] : l4(X0)
| ~ spl0_187
| ~ spl0_189 ),
inference(resolution,[],[f1748,f1706]) ).
fof(f1823,plain,
( ! [X0,X1] : ~ k3(X0,X0,X1)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f325,f414]) ).
fof(f1826,plain,
( ! [X0] : ~ n2(X0)
| ~ spl0_13 ),
inference(resolution,[],[f1823,f248]) ).
fof(f1830,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1826,f1709]) ).
fof(f1831,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1833,plain,
( ! [X0,X1] :
( ~ n0(X0,X1)
| ~ l4(X0) )
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f417,f390]) ).
fof(f1834,plain,
( ! [X0,X1] : ~ n0(X0,X1)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f1833,f1767]) ).
fof(f1835,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(resolution,[],[f1834,f3]) ).
fof(f1850,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(avatar_contradiction_clause,[],[f1835]) ).
fof(f1976,plain,
( ~ r3(a,a,d)
| ~ spl0_263 ),
inference(resolution,[],[f1302,f369]) ).
fof(f2058,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X0,d)
| ~ q0(X1,d) )
| ~ spl0_80 ),
inference(resolution,[],[f644,f131]) ).
fof(f2080,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X1,d) )
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f2058,f17]) ).
fof(f2087,definition,
( spl0_300
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
fof(f2088,plain,
( ! [X0] : r1(X0)
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2112,plain,
( ! [X0] : r1(X0)
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f2080,f17]) ).
fof(f2117,plain,
( spl0_300
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2112,f643,f2087]) ).
fof(f2128,plain,
( ! [X0] :
( r2(X0)
| ~ l0(X0) )
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f226,f2088]) ).
fof(f2132,plain,
( ~ l0(a)
| spl0_39
| ~ spl0_300 ),
inference(resolution,[],[f2128,f503]) ).
fof(f2136,plain,
( $false
| spl0_39
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f2132,f20]) ).
fof(f2137,plain,
( spl0_39
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f2136]) ).
fof(f2435,plain,
( ~ s0(d)
| ~ spl0_27
| spl0_33 ),
inference(resolution,[],[f483,f462]) ).
fof(f2436,plain,
( $false
| ~ spl0_27
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f2435,f1]) ).
fof(f2437,plain,
( ~ spl0_27
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2823,plain,
( ! [X2,X3,X0,X1] :
( k3(X0,X1,X0)
| ~ p2(X2,X1,X3)
| ~ n0(X0,X3) )
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f230,f1507]) ).
fof(f2934,plain,
( ! [X0,X1] :
( ~ m2(d)
| ~ m3(X0,b,a)
| ~ r3(d,X1,X1) )
| ~ spl0_263 ),
inference(resolution,[],[f306,f1976]) ).
fof(f2936,definition,
( spl0_373
<=> ! [X1] : ~ r3(d,X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
fof(f2937,plain,
( ! [X1] : ~ r3(d,X1,X1)
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f2936]) ).
fof(f2939,definition,
( spl0_374
<=> ! [X0] : ~ m3(X0,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
fof(f2940,plain,
( ! [X0] : ~ m3(X0,b,a)
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f2939]) ).
fof(f2941,plain,
( spl0_373
| spl0_374
| ~ spl0_33
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f2934,f1301,f482,f2939,f2936]) ).
fof(f2956,plain,
( ~ s2(d)
| ~ spl0_373 ),
inference(resolution,[],[f2937,f302]) ).
fof(f2966,plain,
( $false
| ~ spl0_101
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f2956,f1061]) ).
fof(f2967,plain,
( ~ spl0_101
| ~ spl0_373 ),
inference(avatar_contradiction_clause,[],[f2966]) ).
fof(f2968,plain,
( ~ r2(a)
| ~ k3(b,a,b)
| ~ spl0_374 ),
inference(resolution,[],[f2940,f273]) ).
fof(f2971,definition,
( spl0_378
<=> k3(b,a,b) ),
introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).
fof(f2972,plain,
( ~ k3(b,a,b)
| spl0_378 ),
inference(avatar_component_clause,[],[f2971]) ).
fof(f2973,plain,
( ~ spl0_378
| ~ spl0_39
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f2968,f2939,f502,f2971]) ).
fof(f2995,plain,
( ! [X0,X1] :
( ~ p2(X0,a,X1)
| ~ n0(b,X1) )
| ~ spl0_187
| spl0_378 ),
inference(resolution,[],[f2972,f2823]) ).
fof(f3039,plain,
( ~ n0(b,a)
| ~ k1(a)
| ~ spl0_187
| spl0_378 ),
inference(resolution,[],[f2995,f197]) ).
fof(f3067,plain,
( ~ n0(b,a)
| ~ spl0_187
| spl0_378 ),
inference(forward_subsumption_resolution,[],[f3039,f39]) ).
fof(f3081,plain,
( $false
| ~ spl0_187
| spl0_378 ),
inference(forward_subsumption_resolution,[],[f3067,f37]) ).
fof(f3082,plain,
( ~ spl0_187
| spl0_378 ),
inference(avatar_contradiction_clause,[],[f3081]) ).
cnf(s6,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f418]) ).
cnf(s12,plain,
( spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f463]) ).
cnf(s35,plain,
( ~ spl0_79
| spl0_80 ),
inference(sat_conversion,[],[f645]) ).
cnf(s92,plain,
( spl0_21
| spl0_187 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s93,plain,
( spl0_188
| spl0_189 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s97,plain,
( ~ spl0_79
| spl0_101
| ~ spl0_197 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s140,plain,
( spl0_6
| spl0_263 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s155,plain,
spl0_79,
inference(sat_conversion,[],[f1394]) ).
cnf(s167,plain,
~ spl0_188,
inference(sat_conversion,[],[f1418]) ).
cnf(s204,plain,
( ~ spl0_21
| spl0_188 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s206,plain,
( ~ spl0_187
| spl0_197 ),
inference(sat_conversion,[],[f1515]) ).
cnf(s219,plain,
~ spl0_26,
inference(sat_conversion,[],[f1550]) ).
cnf(s274,plain,
~ spl0_13,
inference(sat_conversion,[],[f1831]) ).
cnf(s283,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_187
| ~ spl0_189 ),
inference(sat_conversion,[],[f1850]) ).
cnf(s316,plain,
( ~ spl0_80
| spl0_300 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s322,plain,
( spl0_39
| ~ spl0_300 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s348,plain,
( ~ spl0_27
| spl0_33 ),
inference(sat_conversion,[],[f2437]) ).
cnf(s405,plain,
( ~ spl0_33
| ~ spl0_263
| spl0_373
| spl0_374 ),
inference(sat_conversion,[],[f2941]) ).
cnf(s409,plain,
( ~ spl0_101
| ~ spl0_373 ),
inference(sat_conversion,[],[f2967]) ).
cnf(s410,plain,
( ~ spl0_39
| ~ spl0_374
| ~ spl0_378 ),
inference(sat_conversion,[],[f2973]) ).
cnf(s420,plain,
( ~ spl0_187
| spl0_378 ),
inference(sat_conversion,[],[f3082]) ).
cnf(s429,plain,
~ spl0_21,
inference(rat,[],[s204,s167]) ).
cnf(s477,plain,
( spl0_101
| ~ spl0_197 ),
inference(rat,[],[s97,s155]) ).
cnf(s479,plain,
spl0_189,
inference(rat,[],[s93,s167]) ).
cnf(s480,plain,
spl0_187,
inference(rat,[],[s92,s429]) ).
cnf(s481,plain,
spl0_378,
inference(rat,[],[s420,s480]) ).
cnf(s490,plain,
spl0_197,
inference(rat,[],[s206,s480]) ).
cnf(s491,plain,
spl0_101,
inference(rat,[],[s477,s490]) ).
cnf(s492,plain,
~ spl0_373,
inference(rat,[],[s409,s491]) ).
cnf(s545,plain,
spl0_80,
inference(rat,[],[s35,s155]) ).
cnf(s546,plain,
spl0_300,
inference(rat,[],[s316,s545]) ).
cnf(s548,plain,
spl0_39,
inference(rat,[],[s322,s546]) ).
cnf(s554,plain,
~ spl0_374,
inference(rat,[],[s410,s481,s548]) ).
cnf(s576,plain,
spl0_27,
inference(rat,[],[s12,s219]) ).
cnf(s577,plain,
spl0_33,
inference(rat,[],[s348,s576]) ).
cnf(s578,plain,
~ spl0_263,
inference(rat,[],[s405,s554,s492,s577]) ).
cnf(s580,plain,
spl0_6,
inference(rat,[],[s140,s578]) ).
cnf(s581,plain,
~ spl0_14,
inference(rat,[],[s283,s479,s480,s580]) ).
cnf(s586,plain,
$false,
inference(rat,[],[s6,s581,s274]) ).
fof(f3083,plain,
$false,
inference(avatar_sat_refutation,[],[s586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN171-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:37:31 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.02/1.10 % (1860645)Input is clausal, will run a generic CNF schedule.
% 3.02/1.10 % (1860657)lrs+10_1_sil=8000:sp=occurrence:random_seed=4194888277:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.02/1.10 % (1860657)Refutation not found, incomplete strategy
% 3.02/1.10 % (1860657)------------------------------
% 3.02/1.10 % (1860657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (1860657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (1860657)CaDiCaL version: 2.1.3
% 3.02/1.10 % (1860657)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.10 % (1860657)Time elapsed: 0.006 s
% 3.02/1.10 % (1860657)Peak memory usage: 88 MB
% 3.02/1.10 % (1860657)Instructions burned: 13 (million)
% 3.02/1.10 % (1860658)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=275999876:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.02/1.10 % (1860655)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1760337711:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.02/1.10 % (1860654)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=3043599728:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.02/1.10 % (1860656)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3141912549:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.02/1.10 % (1860660)dis-21_1_sil=8000:lcm=predicate:random_seed=2007278083: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)
% 3.02/1.10 % (1860659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2450722477:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.02/1.10 % (1860658)First to succeed.
% 3.02/1.10 % (1860658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1860645"
% 3.02/1.10 % (1860659)Also succeeded, but the first one will report.
% 3.02/1.10 % (1860660)Instruction limit reached!
% 3.02/1.10 % (1860660)------------------------------
% 3.02/1.10 % (1860660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (1860660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (1860660)CaDiCaL version: 2.1.3
% 3.02/1.10 % (1860660)Termination reason: Instruction limit
% 3.02/1.10 % (1860660)Termination phase: Saturation
% 3.02/1.10 % (1860660)Time elapsed: 0.055 s
% 3.02/1.10 % (1860660)Peak memory usage: 89 MB
% 3.02/1.10 % (1860660)Instructions burned: 117 (million)
% 3.02/1.10 % (1860657)------------------------------
% 3.02/1.10 % (1860657)------------------------------
% 3.02/1.10 % (1860668)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=3681625074:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.02/1.10 % (1860668)Refutation not found, incomplete strategy
% 3.02/1.10 % (1860668)------------------------------
% 3.02/1.10 % (1860668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (1860668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (1860668)CaDiCaL version: 2.1.3
% 3.02/1.10 % (1860668)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.10 % (1860668)Time elapsed: 0.003 s
% 3.02/1.10 % (1860668)Peak memory usage: 88 MB
% 3.02/1.10 % (1860668)Instructions burned: 2 (million)
% 3.02/1.10 % (1860669)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=227822231: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)
% 3.02/1.10 % (1860669)Refutation not found, incomplete strategy
% 3.02/1.10 % (1860669)------------------------------
% 3.02/1.10 % (1860669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (1860669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (1860669)CaDiCaL version: 2.1.3
% 3.02/1.10 % (1860669)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.10 % (1860669)Time elapsed: 0.008 s
% 3.02/1.10 % (1860669)Peak memory usage: 88 MB
% 3.02/1.10 % (1860669)Instructions burned: 26 (million)
% 3.02/1.10 % (1860658)Refutation found. Thanks to Tanya!
% 3.02/1.10 % SZS status Unsatisfiable for theBenchmark
% 3.02/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30 % (1860658)------------------------------
% 0.20/1.30 % (1860658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (1860658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (1860658)CaDiCaL version: 2.1.3
% 0.20/1.30 % (1860658)Termination reason: Refutation
% 0.20/1.30 % (1860658)Time elapsed: 0.034 s
% 0.20/1.30 % (1860658)Peak memory usage: 90 MB
% 0.20/1.30 % (1860658)Instructions burned: 52 (million)
% 0.20/1.30 % (1860658)------------------------------
% 0.20/1.30 % (1860658)------------------------------
% 0.20/1.30 % (1860645)Success in time 0.443 s
% 0.20/1.30 % Vampire exiting
%------------------------------------------------------------------------------