%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN180-1 : 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 : 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 02:06:57 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.29s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 94 ( 29 unt; 10 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 242 ( 119 ~; 113 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 11 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 79 ( 0 sgn 79 !; 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(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
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(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f120,axiom,
! [X2,X3,X0,X1] :
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_082) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f159,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_121) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f225,axiom,
! [X2,X3,X0,X1] :
( ~ r1(X1)
| q2(X0,X1,X0)
| ~ m0(X2,X3,X0)
| ~ k0(X1)
| ~ q2(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_187) ).
fof(f239,axiom,
! [X2,X3,X0,X1] :
( k3(X0,X0,X1)
| ~ p1(X1,X2,X0)
| ~ m2(X3)
| ~ m2(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_201) ).
fof(f274,axiom,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
fof(f333,axiom,
! [X2,X3,X0,X1,X4] :
( ~ m3(X3,X4,X3)
| ~ k3(X2,X2,X0)
| ~ q2(X3,X1,X0)
| q4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f369,negated_conjecture,
~ q4(a,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
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(f791,definition,
( spl0_107
<=> ! [X1] : ~ m2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f792,plain,
( ! [X1] : ~ m2(X1)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f824,definition,
( spl0_115
<=> ! [X2,X0,X1] :
( k3(X0,X0,X1)
| ~ m2(X2)
| ~ p1(X1,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( ~ m2(X2)
| k3(X0,X0,X1)
| ~ p1(X1,X2,X0) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f826,plain,
( spl0_107
| spl0_115 ),
inference(avatar_split_clause,[],[f239,f824,f791]) ).
fof(f865,definition,
( spl0_125
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f1104,definition,
( spl0_185
<=> n2(a) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1106,plain,
( n2(a)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1104]) ).
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(f1141,definition,
( spl0_194
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| ~ q1(d,X1,d)
| r1(X0) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1143,plain,
( ~ spl0_125
| spl0_194 ),
inference(avatar_split_clause,[],[f162,f1141,f865]) ).
fof(f1166,definition,
( spl0_200
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
fof(f1167,plain,
( k0(e)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1248,definition,
( spl0_220
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
fof(f1252,definition,
( spl0_221
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
fof(f1254,plain,
( p1(a,a,a)
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1255,plain,
( ~ spl0_220
| spl0_221 ),
inference(avatar_split_clause,[],[f126,f1252,f1248]) ).
fof(f1490,plain,
spl0_200,
inference(avatar_split_clause,[],[f28,f1166]) ).
fof(f1494,plain,
spl0_220,
inference(avatar_split_clause,[],[f20,f1248]) ).
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(f1577,plain,
( $false
| ~ spl0_51
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f569,f792]) ).
fof(f1578,plain,
( ~ spl0_51
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1668,plain,
( n2(a)
| ~ spl0_221 ),
inference(resolution,[],[f175,f1254]) ).
fof(f1677,plain,
( spl0_185
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f1668,f1252,f1104]) ).
fof(f1693,plain,
( m3(a,a,a)
| ~ spl0_185 ),
inference(resolution,[],[f274,f1106]) ).
fof(f1785,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1986,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f159,f19]) ).
fof(f2031,plain,
! [X0] : q2(X0,X0,X0),
inference(resolution,[],[f219,f1785]) ).
fof(f2371,plain,
( ! [X0] :
( ~ q1(d,d,d)
| r1(X0) )
| ~ spl0_194 ),
inference(resolution,[],[f1142,f17]) ).
fof(f2390,plain,
( ! [X0] : r1(X0)
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f2371,f1986]) ).
fof(f2559,plain,
( ! [X0,X1] :
( ~ p1(X1,b,X0)
| k3(X0,X0,X1) )
| ~ spl0_51
| ~ spl0_115 ),
inference(resolution,[],[f825,f569]) ).
fof(f2833,plain,
( ! [X0] :
( ~ m0(a,a,a)
| p1(a,X0,a) )
| ~ spl0_221 ),
inference(resolution,[],[f120,f1254]) ).
fof(f2872,plain,
( ! [X0] : p1(a,X0,a)
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f2833,f12]) ).
fof(f2887,plain,
( ! [X0,X1] :
( ~ m0(a,X0,a)
| p1(X0,X1,a) )
| ~ spl0_221 ),
inference(resolution,[],[f2872,f120]) ).
fof(f2892,plain,
( ! [X0,X1] : p1(X0,X1,a)
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f2887,f12]) ).
fof(f3184,plain,
( ! [X2,X0,X1] :
( ~ k3(X0,X0,X1)
| ~ q2(a,X2,X1)
| q4(X1,X2) )
| ~ spl0_185 ),
inference(resolution,[],[f333,f1693]) ).
fof(f3217,plain,
( ! [X2,X3,X0,X1] :
( q2(X0,X1,X0)
| ~ m0(X2,X3,X0)
| ~ k0(X1)
| ~ q2(X1,X1,X1) )
| ~ spl0_194 ),
inference(resolution,[],[f225,f2390]) ).
fof(f3218,plain,
( ! [X2,X3,X0,X1] :
( ~ k0(X1)
| ~ m0(X2,X3,X0)
| q2(X0,X1,X0) )
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f3217,f2031]) ).
fof(f3649,plain,
( ! [X0] : k3(a,a,X0)
| ~ spl0_51
| ~ spl0_115
| ~ spl0_221 ),
inference(resolution,[],[f2559,f2892]) ).
fof(f4266,plain,
( ! [X2,X0,X1] :
( ~ m0(X0,X1,X2)
| q2(X2,e,X2) )
| ~ spl0_194
| ~ spl0_200 ),
inference(resolution,[],[f3218,f1167]) ).
fof(f4344,plain,
( ! [X0,X1] :
( ~ q2(a,X0,X1)
| q4(X1,X0) )
| ~ spl0_51
| ~ spl0_115
| ~ spl0_185
| ~ spl0_221 ),
inference(resolution,[],[f3184,f3649]) ).
fof(f4789,plain,
( ! [X0] : q2(X0,e,X0)
| ~ spl0_194
| ~ spl0_200 ),
inference(resolution,[],[f4266,f19]) ).
fof(f5209,plain,
( q4(a,e)
| ~ spl0_51
| ~ spl0_115
| ~ spl0_185
| ~ spl0_194
| ~ spl0_200
| ~ spl0_221 ),
inference(resolution,[],[f4344,f4789]) ).
fof(f5212,plain,
( $false
| ~ spl0_51
| ~ spl0_115
| ~ spl0_185
| ~ spl0_194
| ~ spl0_200
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f5209,f369]) ).
fof(f5213,plain,
( ~ spl0_51
| ~ spl0_115
| ~ spl0_185
| ~ spl0_194
| ~ spl0_200
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f5212]) ).
cnf(s51,plain,
( spl0_107
| spl0_115 ),
inference(sat_conversion,[],[f826]) ).
cnf(s84,plain,
( spl0_51
| ~ spl0_186 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s89,plain,
( ~ spl0_125
| spl0_194 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s106,plain,
( ~ spl0_220
| spl0_221 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s145,plain,
spl0_200,
inference(sat_conversion,[],[f1490]) ).
cnf(s149,plain,
spl0_220,
inference(sat_conversion,[],[f1494]) ).
cnf(s156,plain,
spl0_125,
inference(sat_conversion,[],[f1501]) ).
cnf(s187,plain,
spl0_186,
inference(sat_conversion,[],[f1576]) ).
cnf(s188,plain,
( ~ spl0_51
| ~ spl0_107 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s220,plain,
( spl0_185
| ~ spl0_221 ),
inference(sat_conversion,[],[f1677]) ).
cnf(s464,plain,
( ~ spl0_51
| ~ spl0_115
| ~ spl0_185
| ~ spl0_194
| ~ spl0_200
| ~ spl0_221 ),
inference(sat_conversion,[],[f5213]) ).
cnf(s552,plain,
spl0_221,
inference(rat,[],[s106,s149]) ).
cnf(s559,plain,
spl0_185,
inference(rat,[],[s220,s552]) ).
cnf(s591,plain,
spl0_194,
inference(rat,[],[s89,s156]) ).
cnf(s621,plain,
spl0_51,
inference(rat,[],[s84,s187]) ).
cnf(s622,plain,
~ spl0_115,
inference(rat,[],[s464,s552,s145,s591,s559,s621]) ).
cnf(s625,plain,
~ spl0_107,
inference(rat,[],[s188,s621]) ).
cnf(s660,plain,
$false,
inference(rat,[],[s51,s622,s625]) ).
fof(f5214,plain,
$false,
inference(avatar_sat_refutation,[],[s660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN180-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n014.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 15:37:30 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.18/0.29 % (1860350)Will run a generic schedule for satisfiability detection.
% 0.18/0.29 % (1860360)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2761490348:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.29 % (1860356)% WARNING: option uhcvi not known.
% 0.18/0.29 % (1860355)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3071024095_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.29 % (1860358)dis+10_1_sil=32000:sp=arity:random_seed=2461780158:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.29 % (1860359)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3357674751:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29 % (1860357)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2889038711:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.29 % (1860356)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2670482421:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.29 % (1860361)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2503105790:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.29 % Detected minimum model sizes of [1]
% 0.18/0.29 % Detected maximum model sizes of [5]
% 0.18/0.29 % TRYING [1]
% 0.18/0.29 % TRYING [2]
% 0.18/0.29 % (1860360) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1860350-1860360"...
% 0.18/0.29 % TRYING [3]
% 0.18/0.29 % (1860360)...printing done.
% 0.18/0.29 % (1860360)Refutation found. Thanks to Tanya!
% 0.18/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29 % (1860360)------------------------------
% 0.18/0.29 % (1860360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29 % (1860360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29 % (1860360)CaDiCaL version: 2.1.3
% 0.18/0.29 % (1860360)Termination reason: Refutation
% 0.18/0.29 % (1860360)Time elapsed: 0.034 s
% 0.18/0.29 % (1860360)Peak memory usage: 15 MB
% 0.18/0.29 % (1860360)Instructions burned: 84 (million)
% 0.18/0.29 % (1860350)Success in time 0.067 s
% 0.18/0.29 % Vampire exiting
%------------------------------------------------------------------------------