%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN271-1 : 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 : n012.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 02:07:10 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.34s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 55
% Syntax : Number of formulae : 182 ( 49 unt; 23 def)
% Number of atoms : 391 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 413 ( 204 ~; 186 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 24 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
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(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f43,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ m0(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_005) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f128,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_090) ).
fof(f133,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| q1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_095) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
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(f165,axiom,
! [X2,X3,X0,X1] :
( k2(X0,X1)
| ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( k2(X0,X0)
| ~ q1(X1,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f173,axiom,
! [X2,X0,X1] :
( m2(X0)
| ~ s0(X0)
| ~ l1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f226,axiom,
! [X0] :
( ~ r1(X0)
| r2(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f269,axiom,
! [X0,X1] :
( ~ r2(X0)
| m3(X0,X1,X0)
| ~ k2(c,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_231) ).
fof(f305,axiom,
! [X2,X0,X1] :
( r3(X0,X1,X0)
| ~ p2(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).
fof(f306,axiom,
! [X2,X3,X0,X1] :
( ~ m2(X1)
| r3(X0,X0,X1)
| ~ m3(X2,b,X0)
| ~ r3(X1,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_268) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',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/Axioms/SYN001-0.ax',rule_288) ).
fof(f369,negated_conjecture,
! [X0] : ~ p4(d,X0,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f447,definition,
( spl0_21
<=> ! [X2,X3] : ~ p4(X2,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f448,plain,
( ! [X2,X3] : ~ p4(X2,X2,X3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,definition,
( spl0_22
<=> ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f451,plain,
( ! [X0,X1] :
( p4(X0,X1,X1)
| ~ r3(X1,X1,X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f452,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f326,f450,f447]) ).
fof(f478,definition,
( spl0_29
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f479,plain,
( q1(d,d,d)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f558,definition,
( spl0_49
<=> k2(c,b) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f559,plain,
( k2(c,b)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( ~ k2(c,b)
| spl0_49 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f591,definition,
( spl0_57
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f592,plain,
( n2(e)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( ~ n2(e)
| spl0_57 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f603,definition,
( spl0_60
<=> m2(d) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f604,plain,
( m2(d)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f605,plain,
( ~ m2(d)
| spl0_60 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f712,definition,
( spl0_87
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f738,definition,
( spl0_94
<=> r2(a) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f739,plain,
( r2(a)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f740,plain,
( ~ r2(a)
| spl0_94 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f796,definition,
( spl0_108
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f797,plain,
( s0(d)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f820,definition,
( spl0_114
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f821,plain,
( l0(c)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f928,definition,
( spl0_142
<=> r1(a) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f929,plain,
( r1(a)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f930,plain,
( ~ r1(a)
| spl0_142 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f985,definition,
( spl0_156
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f986,plain,
( k0(b)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f994,definition,
( spl0_158
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f995,plain,
( k1(b)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f996,plain,
( ~ k1(b)
| spl0_158 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f999,definition,
( spl0_159
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1000,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1002,definition,
( spl0_160
<=> ! [X0] :
( m2(X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1003,plain,
( ! [X0] :
( m2(X0)
| ~ s0(X0) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1004,plain,
( spl0_159
| spl0_160 ),
inference(avatar_split_clause,[],[f173,f1002,f999]) ).
fof(f1026,definition,
( spl0_166
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1027,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1028,plain,
( ~ spl0_108
| spl0_166 ),
inference(avatar_split_clause,[],[f162,f1026,f796]) ).
fof(f1051,definition,
( spl0_172
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1054,plain,
( ~ spl0_108
| ~ spl0_172
| spl0_29 ),
inference(avatar_split_clause,[],[f155,f478,f1051,f796]) ).
fof(f1097,definition,
( spl0_184
<=> p1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1099,plain,
( p1(e,e,e)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1100,plain,
( ~ spl0_172
| ~ spl0_87
| spl0_184 ),
inference(avatar_split_clause,[],[f128,f1097,f712,f1051]) ).
fof(f1102,definition,
( spl0_185
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1103,plain,
( l0(a)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1282,plain,
spl0_156,
inference(avatar_split_clause,[],[f32,f985]) ).
fof(f1283,plain,
spl0_172,
inference(avatar_split_clause,[],[f28,f1051]) ).
fof(f1285,plain,
spl0_114,
inference(avatar_split_clause,[],[f24,f820]) ).
fof(f1287,plain,
spl0_185,
inference(avatar_split_clause,[],[f20,f1102]) ).
fof(f1288,plain,
spl0_87,
inference(avatar_split_clause,[],[f13,f712]) ).
fof(f1293,plain,
spl0_108,
inference(avatar_split_clause,[],[f1,f796]) ).
fof(f1355,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_158 ),
inference(resolution,[],[f996,f39]) ).
fof(f1370,plain,
( $false
| spl0_158 ),
inference(resolution,[],[f1355,f7]) ).
fof(f1375,plain,
spl0_158,
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1399,plain,
l1(e,e),
inference(resolution,[],[f40,f3]) ).
fof(f1421,plain,
( $false
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f1399,f1000]) ).
fof(f1422,plain,
~ spl0_159,
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1451,plain,
( ! [X0,X1] : ~ p1(X0,X1,e)
| spl0_57 ),
inference(resolution,[],[f175,f593]) ).
fof(f1464,plain,
( $false
| spl0_57
| ~ spl0_184 ),
inference(resolution,[],[f1451,f1099]) ).
fof(f1465,plain,
( spl0_57
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1467,plain,
( k3(e,e,e)
| ~ spl0_57 ),
inference(resolution,[],[f248,f592]) ).
fof(f1554,plain,
! [X0] : q1(X0,b,b),
inference(resolution,[],[f133,f14]) ).
fof(f1640,plain,
( ! [X0] :
( ~ l0(X0)
| m1(X0,b,X0) )
| ~ spl0_156 ),
inference(resolution,[],[f59,f986]) ).
fof(f1642,plain,
( m1(c,b,c)
| ~ spl0_114
| ~ spl0_156 ),
inference(resolution,[],[f1640,f821]) ).
fof(f1681,plain,
! [X0,X1] :
( ~ m0(X0,X0,X1)
| p2(X0,X1,X0) ),
inference(resolution,[],[f214,f43]) ).
fof(f1704,plain,
( ! [X0] : ~ k3(X0,X0,X0)
| ~ spl0_21 ),
inference(resolution,[],[f325,f448]) ).
fof(f1728,plain,
( $false
| ~ spl0_21
| ~ spl0_57 ),
inference(resolution,[],[f1704,f1467]) ).
fof(f1733,plain,
( ~ spl0_21
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f1728]) ).
fof(f1737,plain,
( ~ r3(a,a,d)
| ~ spl0_22 ),
inference(resolution,[],[f451,f369]) ).
fof(f1914,plain,
( ! [X0] :
( ~ q0(a,X0)
| ~ q1(d,X0,d) )
| spl0_142
| ~ spl0_166 ),
inference(resolution,[],[f1027,f930]) ).
fof(f2071,plain,
( ~ q1(d,d,d)
| spl0_142
| ~ spl0_166 ),
inference(resolution,[],[f1914,f17]) ).
fof(f2072,plain,
( $false
| ~ spl0_29
| spl0_142
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f2071,f479]) ).
fof(f2073,plain,
( ~ spl0_29
| spl0_142
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f2072]) ).
fof(f2075,plain,
( r2(a)
| ~ l0(a)
| ~ spl0_142 ),
inference(resolution,[],[f929,f226]) ).
fof(f2076,plain,
( ~ l0(a)
| spl0_94
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f2075,f740]) ).
fof(f2077,plain,
( $false
| spl0_94
| ~ spl0_142
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f2076,f1103]) ).
fof(f2078,plain,
( spl0_94
| ~ spl0_142
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2086,plain,
( ! [X0] :
( ~ k2(c,X0)
| m3(a,X0,a) )
| ~ spl0_94 ),
inference(resolution,[],[f739,f269]) ).
fof(f2459,plain,
( ! [X0,X1] :
( ~ k2(X0,b)
| ~ k1(X0)
| ~ m1(X1,b,c) )
| spl0_49 ),
inference(resolution,[],[f165,f560]) ).
fof(f2475,definition,
( spl0_277
<=> ! [X1] : ~ m1(X1,b,c) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
fof(f2476,plain,
( ! [X1] : ~ m1(X1,b,c)
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f2475]) ).
fof(f2478,definition,
( spl0_278
<=> ! [X0] :
( ~ k2(X0,b)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
fof(f2479,plain,
( ! [X0] :
( ~ k2(X0,b)
| ~ k1(X0) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f2478]) ).
fof(f2480,plain,
( spl0_277
| spl0_278
| spl0_49 ),
inference(avatar_split_clause,[],[f2459,f558,f2478,f2475]) ).
fof(f2594,plain,
( $false
| ~ spl0_114
| ~ spl0_156
| ~ spl0_277 ),
inference(resolution,[],[f2476,f1642]) ).
fof(f2595,plain,
( ~ spl0_114
| ~ spl0_156
| ~ spl0_277 ),
inference(avatar_contradiction_clause,[],[f2594]) ).
fof(f2996,plain,
( ! [X0] :
( ~ k1(b)
| ~ q1(X0,b,b) )
| ~ spl0_278 ),
inference(resolution,[],[f2479,f167]) ).
fof(f2998,plain,
( ! [X0] : ~ q1(X0,b,b)
| ~ spl0_158
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f2996,f995]) ).
fof(f3000,plain,
( $false
| ~ spl0_158
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f2998,f1554]) ).
fof(f3001,plain,
( ~ spl0_158
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3086,plain,
( m3(a,b,a)
| ~ spl0_49
| ~ spl0_94 ),
inference(resolution,[],[f2086,f559]) ).
fof(f3297,plain,
! [X0] : p2(d,X0,d),
inference(resolution,[],[f1681,f19]) ).
fof(f3438,plain,
( ~ s0(d)
| spl0_60
| ~ spl0_160 ),
inference(resolution,[],[f605,f1003]) ).
fof(f3439,plain,
( $false
| spl0_60
| ~ spl0_108
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f3438,f797]) ).
fof(f3440,plain,
( spl0_60
| ~ spl0_108
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f3439]) ).
fof(f3441,plain,
( ! [X2,X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0)
| ~ r3(d,X2,X2) )
| ~ spl0_60 ),
inference(resolution,[],[f604,f306]) ).
fof(f3446,definition,
( spl0_347
<=> ! [X2] : ~ r3(d,X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
fof(f3447,plain,
( ! [X2] : ~ r3(d,X2,X2)
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f3446]) ).
fof(f3449,definition,
( spl0_348
<=> ! [X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
fof(f3450,plain,
( ! [X0,X1] :
( r3(X0,X0,d)
| ~ m3(X1,b,X0) )
| ~ spl0_348 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f3451,plain,
( spl0_347
| spl0_348
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f3441,f603,f3449,f3446]) ).
fof(f3453,plain,
( ! [X0] : ~ p2(d,X0,d)
| ~ spl0_347 ),
inference(resolution,[],[f3447,f305]) ).
fof(f3459,plain,
( $false
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f3453,f3297]) ).
fof(f3460,plain,
~ spl0_347,
inference(avatar_contradiction_clause,[],[f3459]) ).
fof(f3472,plain,
( ! [X0] : ~ m3(X0,b,a)
| ~ spl0_22
| ~ spl0_348 ),
inference(resolution,[],[f3450,f1737]) ).
fof(f3475,plain,
( $false
| ~ spl0_22
| ~ spl0_49
| ~ spl0_94
| ~ spl0_348 ),
inference(resolution,[],[f3472,f3086]) ).
fof(f3476,plain,
( ~ spl0_22
| ~ spl0_49
| ~ spl0_94
| ~ spl0_348 ),
inference(avatar_contradiction_clause,[],[f3475]) ).
cnf(s10,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f452]) ).
cnf(s74,plain,
( spl0_159
| spl0_160 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s78,plain,
( ~ spl0_108
| spl0_166 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s82,plain,
( spl0_29
| ~ spl0_108
| ~ spl0_172 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s90,plain,
( ~ spl0_87
| ~ spl0_172
| spl0_184 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s122,plain,
spl0_156,
inference(sat_conversion,[],[f1282]) ).
cnf(s123,plain,
spl0_172,
inference(sat_conversion,[],[f1283]) ).
cnf(s125,plain,
spl0_114,
inference(sat_conversion,[],[f1285]) ).
cnf(s127,plain,
spl0_185,
inference(sat_conversion,[],[f1287]) ).
cnf(s128,plain,
spl0_87,
inference(sat_conversion,[],[f1288]) ).
cnf(s133,plain,
spl0_108,
inference(sat_conversion,[],[f1293]) ).
cnf(s167,plain,
spl0_158,
inference(sat_conversion,[],[f1375]) ).
cnf(s184,plain,
~ spl0_159,
inference(sat_conversion,[],[f1422]) ).
cnf(s197,plain,
( spl0_57
| ~ spl0_184 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s223,plain,
( ~ spl0_21
| ~ spl0_57 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s256,plain,
( ~ spl0_29
| spl0_142
| ~ spl0_166 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s257,plain,
( spl0_94
| ~ spl0_142
| ~ spl0_185 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s292,plain,
( spl0_49
| spl0_277
| spl0_278 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s302,plain,
( ~ spl0_114
| ~ spl0_156
| ~ spl0_277 ),
inference(sat_conversion,[],[f2595]) ).
cnf(s339,plain,
( ~ spl0_158
| ~ spl0_278 ),
inference(sat_conversion,[],[f3001]) ).
cnf(s371,plain,
( spl0_60
| ~ spl0_108
| ~ spl0_160 ),
inference(sat_conversion,[],[f3440]) ).
cnf(s372,plain,
( ~ spl0_60
| spl0_347
| spl0_348 ),
inference(sat_conversion,[],[f3451]) ).
cnf(s375,plain,
~ spl0_347,
inference(sat_conversion,[],[f3460]) ).
cnf(s376,plain,
( ~ spl0_22
| ~ spl0_49
| ~ spl0_94
| ~ spl0_348 ),
inference(sat_conversion,[],[f3476]) ).
cnf(s377,plain,
( ~ spl0_60
| spl0_348 ),
inference(rat,[],[s372,s375]) ).
cnf(s387,plain,
~ spl0_278,
inference(rat,[],[s339,s167]) ).
cnf(s398,plain,
~ spl0_277,
inference(rat,[],[s302,s125,s122]) ).
cnf(s400,plain,
spl0_49,
inference(rat,[],[s292,s387,s398]) ).
cnf(s445,plain,
spl0_184,
inference(rat,[],[s90,s123,s128]) ).
cnf(s446,plain,
spl0_57,
inference(rat,[],[s197,s445]) ).
cnf(s447,plain,
~ spl0_21,
inference(rat,[],[s223,s446]) ).
cnf(s461,plain,
spl0_29,
inference(rat,[],[s82,s123,s133]) ).
cnf(s466,plain,
spl0_166,
inference(rat,[],[s78,s133]) ).
cnf(s468,plain,
spl0_142,
inference(rat,[],[s256,s461,s466]) ).
cnf(s472,plain,
spl0_94,
inference(rat,[],[s257,s127,s468]) ).
cnf(s489,plain,
spl0_160,
inference(rat,[],[s74,s184]) ).
cnf(s490,plain,
spl0_60,
inference(rat,[],[s371,s133,s489]) ).
cnf(s492,plain,
spl0_348,
inference(rat,[],[s377,s490]) ).
cnf(s493,plain,
~ spl0_22,
inference(rat,[],[s376,s472,s400,s492]) ).
cnf(s560,plain,
$false,
inference(rat,[],[s10,s493,s447]) ).
fof(f3477,plain,
$false,
inference(avatar_sat_refutation,[],[s560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN271-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n012.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:39:54 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.34 % (3464855)Will run a generic schedule for satisfiability detection.
% 0.20/0.34 % (3464861)% WARNING: option uhcvi not known.
% 0.20/0.34 % (3464862)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4082914649:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.34 % (3464860)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2450615038_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.34 % (3464866)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1944593765:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.34 % (3464864)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=451296369:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.34 % (3464861)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=988721329:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.34 % (3464865)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1714470551:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.34 % (3464863)dis+10_1_sil=32000:sp=arity:random_seed=482877724:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.34 % Detected minimum model sizes of [1]
% 0.20/0.34 % Detected maximum model sizes of [5]
% 0.20/0.34 % TRYING [1]
% 0.20/0.34 % TRYING [2]
% 0.20/0.34 % TRYING [3]
% 0.20/0.34 % TRYING [4]
% 0.20/0.34 % (3464864) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3464855-3464864"...
% 0.20/0.34 % (3464865) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3464855-3464865"...
% 0.20/0.34 % (3464864)...printing done.
% 0.20/0.34 % (3464865)...printing done.
% 0.20/0.34 % (3464862) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3464855-3464862"...
% 0.20/0.34 % TRYING [5]
% 0.20/0.34 % (3464864)Refutation found. Thanks to Tanya!
% 0.20/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.35 % (3464864)------------------------------
% 0.20/0.35 % (3464864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3464864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3464864)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3464864)Termination reason: Refutation
% 0.20/0.35 % (3464864)Time elapsed: 0.048 s
% 0.20/0.35 % (3464864)Peak memory usage: 14 MB
% 0.20/0.35 % (3464864)Instructions burned: 82 (million)
% 0.20/0.35 % (3464855)Success in time 0.11 s
% 0.20/0.35 % Vampire exiting
%------------------------------------------------------------------------------