%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN207-1 : 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 : n013.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 02:07:01 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.32s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of formulae : 85 ( 26 unt; 10 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 170 ( 84 ~; 76 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 11 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
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(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',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/Axioms/SYN001-0.ax',rule_133) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f221,axiom,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l0(c)
| ~ l2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_183) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f369,negated_conjecture,
~ s3(c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f401,definition,
( spl0_8
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f402,plain,
( k1(b)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( ~ k1(b)
| spl0_8 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f416,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f427,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f416,f403]) ).
fof(f428,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f446,definition,
( spl0_12
<=> ! [X0] : s1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f447,plain,
( ! [X0] : s1(X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl0_13
<=> ! [X0] : ~ p0(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f450,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f452,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f450,f14]) ).
fof(f453,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f483,definition,
( spl0_19
<=> ! [X0] : p1(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f484,plain,
( ! [X0] : p1(X0,X0,X0)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f1037,plain,
! [X0] :
( ~ q2(b,X0,b)
| s2(X0) ),
inference(global_subsumption,[],[f227,f451]) ).
fof(f1056,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1058,plain,
spl0_19,
inference(avatar_split_clause,[],[f1056,f483]) ).
fof(f1064,definition,
( spl0_83
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f1065,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1067,definition,
( spl0_84
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f1068,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1069,plain,
( spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f164,f1067,f1064]) ).
fof(f1070,plain,
( $false
| ~ spl0_83 ),
inference(resolution,[],[f1065,f451]) ).
fof(f1071,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1421,plain,
( ! [X0] : q2(X0,X0,X0)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f219,f484]) ).
fof(f1801,plain,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f221,f24]) ).
fof(f1802,plain,
( ! [X0] : s1(X0)
| ~ spl0_84 ),
inference(resolution,[],[f1068,f17]) ).
fof(f1809,plain,
( spl0_12
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1802,f1067,f446]) ).
fof(f1819,plain,
( ~ k1(b)
| ~ l2(b,b)
| s2(c) ),
inference(resolution,[],[f1801,f1037]) ).
fof(f1829,plain,
( ! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ m0(X3,X2,X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f171,f447]) ).
fof(f2066,plain,
( ~ l2(b,b)
| s2(c)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1819,f402]) ).
fof(f2073,plain,
( ! [X2,X0,X1] :
( s3(X0,X1)
| ~ s2(X0)
| ~ m0(X0,X2,X1) )
| ~ spl0_19 ),
inference(resolution,[],[f311,f1421]) ).
fof(f2076,plain,
( ! [X2,X0,X1] :
( ~ m0(X0,X2,X1)
| ~ s2(X0)
| s3(X0,X1) )
| ~ spl0_19 ),
inference(global_subsumption,[],[f2073]) ).
fof(f2113,definition,
( spl0_191
<=> s2(c) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f2117,definition,
( spl0_192
<=> l2(b,b) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f2119,plain,
( ~ l2(b,b)
| spl0_192 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f2120,plain,
( spl0_191
| ~ spl0_192
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2066,f401,f2117,f2113]) ).
fof(f2121,plain,
( ! [X0,X1] :
( s3(X0,X1)
| ~ s2(X0) )
| ~ spl0_19 ),
inference(resolution,[],[f2076,f19]) ).
fof(f2137,plain,
( ~ s2(c)
| ~ spl0_19 ),
inference(resolution,[],[f2121,f369]) ).
fof(f2142,plain,
( ~ spl0_191
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f2137,f483,f2113]) ).
fof(f2144,definition,
( spl0_193
<=> ! [X0] : l2(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f2145,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f2147,definition,
( spl0_194
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f2148,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f2149,plain,
( spl0_13
| spl0_194
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1829,f446,f2147,f449]) ).
fof(f2151,plain,
( $false
| spl0_192
| ~ spl0_193 ),
inference(resolution,[],[f2145,f2119]) ).
fof(f2152,plain,
( spl0_192
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f2151]) ).
fof(f2153,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_194 ),
inference(resolution,[],[f2148,f19]) ).
fof(f2163,plain,
( spl0_193
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f2153,f2147,f2144]) ).
cnf(s425,plain,
spl0_8,
inference(sat_conversion,[],[f428]) ).
cnf(s451,plain,
~ spl0_13,
inference(sat_conversion,[],[f453]) ).
cnf(s994,plain,
spl0_19,
inference(sat_conversion,[],[f1058]) ).
cnf(s1002,plain,
( spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s1006,plain,
~ spl0_83,
inference(sat_conversion,[],[f1071]) ).
cnf(s1547,plain,
( spl0_12
| ~ spl0_84 ),
inference(sat_conversion,[],[f1809]) ).
cnf(s1757,plain,
( ~ spl0_8
| spl0_191
| ~ spl0_192 ),
inference(sat_conversion,[],[f2120]) ).
cnf(s1782,plain,
( ~ spl0_19
| ~ spl0_191 ),
inference(sat_conversion,[],[f2142]) ).
cnf(s1786,plain,
( ~ spl0_12
| spl0_13
| spl0_194 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s1790,plain,
( spl0_192
| ~ spl0_193 ),
inference(sat_conversion,[],[f2152]) ).
cnf(s1804,plain,
( spl0_193
| ~ spl0_194 ),
inference(sat_conversion,[],[f2163]) ).
cnf(s1807,plain,
spl0_84,
inference(rat,[],[s1002,s1006]) ).
cnf(s1808,plain,
spl0_12,
inference(rat,[],[s1547,s1807]) ).
cnf(s1809,plain,
~ spl0_191,
inference(rat,[],[s1782,s994]) ).
cnf(s1830,plain,
spl0_194,
inference(rat,[],[s1786,s1808,s451]) ).
cnf(s1833,plain,
spl0_193,
inference(rat,[],[s1804,s1830]) ).
cnf(s1834,plain,
spl0_192,
inference(rat,[],[s1790,s1833]) ).
cnf(s1835,plain,
~ spl0_8,
inference(rat,[],[s1757,s1809,s1834]) ).
cnf(s1836,plain,
$false,
inference(rat,[],[s425,s1835]) ).
fof(f2164,plain,
$false,
inference(avatar_sat_refutation,[],[s1836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN207-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:37:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.21/0.32 % (1280873)Will run a generic schedule for satisfiability detection.
% 0.21/0.32 % (1280878)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4227377061_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.32 % (1280879)% WARNING: option uhcvi not known.
% 0.21/0.32 % (1280879)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3339348233:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.32 % (1280880)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3924560655:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.32 % (1280881)dis+10_1_sil=32000:sp=arity:random_seed=952049320:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.32 % (1280882)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3803096334:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.32 % (1280883)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1475699122:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.32 % (1280884)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2424654888:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.32 % Detected minimum model sizes of [1]
% 0.21/0.32 % Detected maximum model sizes of [5]
% 0.21/0.32 % TRYING [1]
% 0.21/0.32 % TRYING [2]
% 0.21/0.32 % TRYING [3]
% 0.21/0.32 % TRYING [4]
% 0.21/0.32 % TRYING [5]
% 0.21/0.32 % (1280880) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1280873-1280880"...
% 0.21/0.32 % (1280882) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1280873-1280882"...
% 0.21/0.32 % (1280880)...printing done.
% 0.21/0.32 % (1280880)Refutation found. Thanks to Tanya!
% 0.21/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.32 % (1280880)------------------------------
% 0.21/0.32 % (1280880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (1280880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (1280880)CaDiCaL version: 2.1.3
% 0.21/0.32 % (1280880)Termination reason: Refutation
% 0.21/0.32 % (1280880)Time elapsed: 0.038 s
% 0.21/0.32 % (1280880)Peak memory usage: 13 MB
% 0.21/0.32 % (1280880)Instructions burned: 57 (million)
% 0.21/0.32 % (1280873)Success in time 0.071 s
% 0.21/0.32 % Vampire exiting
%------------------------------------------------------------------------------