%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN162-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 02:06:55 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.39s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 96 ( 27 unt; 12 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 207 ( 103 ~; 92 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 13 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f224,axiom,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f231,axiom,
! [X0,X1] :
( k3(X0,X0,X0)
| ~ s1(X0)
| ~ q2(d,X1,d)
| ~ s2(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_193) ).
fof(f250,axiom,
! [X0] :
( ~ m2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_212) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f354,axiom,
! [X2,X0,X1] :
( n5(X0,X0)
| ~ p4(X1,X0,X0)
| ~ s1(X0)
| ~ p4(b,b,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_316) ).
fof(f369,negated_conjecture,
~ n5(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f397,definition,
( spl0_8
<=> ! [X2] : ~ p4(b,b,X2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f398,plain,
( ! [X2] : ~ p4(b,b,X2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,definition,
( spl0_9
<=> ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f401,plain,
( ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f354,f400,f397]) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f568,definition,
( spl0_51
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f569,plain,
( m2(b)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f595,definition,
( spl0_58
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f596,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f711,definition,
( spl0_87
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f712,plain,
( s2(d)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f849,definition,
( spl0_121
<=> ! [X1] :
( ~ q2(d,X1,d)
| ~ s2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f850,plain,
( ! [X1] :
( ~ s2(X1)
| ~ q2(d,X1,d) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f852,definition,
( spl0_122
<=> ! [X0] :
( k3(X0,X0,X0)
| ~ s1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f853,plain,
( ! [X0] :
( k3(X0,X0,X0)
| ~ s1(X0) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f854,plain,
( spl0_121
| spl0_122 ),
inference(avatar_split_clause,[],[f231,f852,f849]) ).
fof(f865,definition,
( spl0_125
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f869,definition,
( spl0_126
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f871,plain,
( ~ s1(a)
| spl0_126 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( ~ spl0_125
| ~ spl0_126
| spl0_87 ),
inference(avatar_split_clause,[],[f228,f711,f869,f865]) ).
fof(f1109,definition,
( spl0_186
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
fof(f1111,plain,
( ~ k1(b)
| spl0_186 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1112,plain,
( ~ spl0_186
| spl0_51 ),
inference(avatar_split_clause,[],[f174,f568,f1109]) ).
fof(f1137,definition,
( spl0_193
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1139,plain,
( spl0_58
| spl0_193 ),
inference(avatar_split_clause,[],[f164,f1137,f595]) ).
fof(f1488,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1501,plain,
spl0_125,
inference(avatar_split_clause,[],[f1,f865]) ).
fof(f1544,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f1575,plain,
( $false
| spl0_186 ),
inference(forward_subsumption_resolution,[],[f1544,f1111]) ).
fof(f1576,plain,
spl0_186,
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1579,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1580,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1579,f596]) ).
fof(f1581,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1586,plain,
( ! [X0] : s1(X0)
| ~ spl0_193 ),
inference(resolution,[],[f1138,f17]) ).
fof(f1589,plain,
( s1(a)
| ~ spl0_193 ),
inference(resolution,[],[f1138,f36]) ).
fof(f1592,plain,
( $false
| spl0_126
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f1589,f871]) ).
fof(f1593,plain,
( spl0_126
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1614,plain,
( l1(d,d)
| ~ spl0_49 ),
inference(resolution,[],[f40,f560]) ).
fof(f1689,plain,
( k3(b,b,b)
| ~ spl0_51 ),
inference(resolution,[],[f250,f569]) ).
fof(f1714,plain,
( ~ q2(d,d,d)
| ~ spl0_87
| ~ spl0_121 ),
inference(resolution,[],[f850,f712]) ).
fof(f1822,plain,
( q2(d,d,d)
| ~ spl0_49 ),
inference(resolution,[],[f224,f1614]) ).
fof(f1827,plain,
( $false
| ~ spl0_49
| ~ spl0_87
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f1822,f1714]) ).
fof(f1828,plain,
( ~ spl0_49
| ~ spl0_87
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
fof(f1829,plain,
( ! [X0] : k3(X0,X0,X0)
| ~ spl0_122
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f853,f1586]) ).
fof(f2086,plain,
( ! [X0] : p4(X0,X0,X0)
| ~ spl0_122
| ~ spl0_193 ),
inference(resolution,[],[f325,f1829]) ).
fof(f2090,plain,
( p4(b,b,b)
| ~ spl0_51 ),
inference(resolution,[],[f325,f1689]) ).
fof(f2117,plain,
( $false
| ~ spl0_8
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f2090,f398]) ).
fof(f2118,plain,
( ~ spl0_8
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
fof(f2119,plain,
( ! [X0,X1] :
( ~ p4(X1,X0,X0)
| n5(X0,X0) )
| ~ spl0_9
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f401,f1586]) ).
fof(f2125,plain,
( ! [X0] : n5(X0,X0)
| ~ spl0_9
| ~ spl0_122
| ~ spl0_193 ),
inference(resolution,[],[f2086,f2119]) ).
fof(f2126,plain,
( $false
| ~ spl0_9
| ~ spl0_122
| ~ spl0_193 ),
inference(resolution,[],[f2125,f369]) ).
fof(f2127,plain,
( ~ spl0_9
| ~ spl0_122
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f2126]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f402]) ).
cnf(s55,plain,
( spl0_121
| spl0_122 ),
inference(sat_conversion,[],[f854]) ).
cnf(s57,plain,
( spl0_87
| ~ spl0_125
| ~ spl0_126 ),
inference(sat_conversion,[],[f872]) ).
cnf(s84,plain,
( spl0_51
| ~ spl0_186 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s88,plain,
( spl0_58
| spl0_193 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s143,plain,
spl0_49,
inference(sat_conversion,[],[f1488]) ).
cnf(s156,plain,
spl0_125,
inference(sat_conversion,[],[f1501]) ).
cnf(s187,plain,
spl0_186,
inference(sat_conversion,[],[f1576]) ).
cnf(s189,plain,
~ spl0_58,
inference(sat_conversion,[],[f1581]) ).
cnf(s191,plain,
( spl0_126
| ~ spl0_193 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s233,plain,
( ~ spl0_49
| ~ spl0_87
| ~ spl0_121 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s271,plain,
( ~ spl0_8
| ~ spl0_51 ),
inference(sat_conversion,[],[f2118]) ).
cnf(s272,plain,
( ~ spl0_9
| ~ spl0_122
| ~ spl0_193 ),
inference(sat_conversion,[],[f2127]) ).
cnf(s343,plain,
spl0_193,
inference(rat,[],[s88,s189]) ).
cnf(s346,plain,
spl0_126,
inference(rat,[],[s191,s343]) ).
cnf(s356,plain,
spl0_51,
inference(rat,[],[s84,s187]) ).
cnf(s357,plain,
~ spl0_8,
inference(rat,[],[s271,s356]) ).
cnf(s375,plain,
spl0_87,
inference(rat,[],[s57,s346,s156]) ).
cnf(s376,plain,
~ spl0_121,
inference(rat,[],[s233,s143,s375]) ).
cnf(s379,plain,
spl0_122,
inference(rat,[],[s55,s376]) ).
cnf(s380,plain,
~ spl0_9,
inference(rat,[],[s272,s343,s379]) ).
cnf(s407,plain,
$false,
inference(rat,[],[s4,s380,s357]) ).
fof(f2128,plain,
$false,
inference(avatar_sat_refutation,[],[s407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN162-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.26 % Computer : n004.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 15:37:07 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/0.39 % (470558)Will run a generic schedule for satisfiability detection.
% 0.26/0.39 % (470568)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=409372044:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.39 % (470564)% WARNING: option uhcvi not known.
% 0.26/0.39 % (470565)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1775575099:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.39 % (470563)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3591902595_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.39 % (470564)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3807309956:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.39 % (470566)dis+10_1_sil=32000:sp=arity:random_seed=3867572816:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.39 % (470569)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3988602543:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.39 % (470567)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=282860085:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.39 % (470568) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-470558-470568"...
% 0.26/0.39 % (470568)...printing done.
% 0.26/0.39 % (470568)Refutation found. Thanks to Tanya!
% 0.26/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.39 % (470568)------------------------------
% 0.26/0.39 % (470568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.39 % (470568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.39 % (470568)CaDiCaL version: 2.1.3
% 0.26/0.39 % (470568)Termination reason: Refutation
% 0.26/0.39 % (470568)Time elapsed: 0.017 s
% 0.26/0.39 % (470568)Peak memory usage: 13 MB
% 0.26/0.39 % (470568)Instructions burned: 26 (million)
% 0.26/0.39 % (470558)Success in time 0.064 s
% 0.26/0.39 % Vampire exiting
%------------------------------------------------------------------------------