%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN138-1 : 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 : n006.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 02:06:51 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.37s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 68 ( 23 unt; 7 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 150 ( 73 ~; 70 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
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(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
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(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
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(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f226,axiom,
! [X0] :
( ~ r1(X0)
| r2(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f269,axiom,
! [X0,X1] :
( ~ r2(X0)
| m3(X0,X1,X0)
| ~ k2(c,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_231) ).
fof(f369,negated_conjecture,
~ m3(c,e,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f760,definition,
( spl0_99
<=> r2(c) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f761,plain,
( r2(c)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f762,plain,
( ~ r2(c)
| spl0_99 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f840,definition,
( spl0_119
<=> k2(c,e) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f841,plain,
( k2(c,e)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f865,definition,
( spl0_125
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f889,definition,
( spl0_131
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f890,plain,
( l0(c)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f914,definition,
( spl0_137
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f915,plain,
( k1(e)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f916,plain,
( ~ k1(e)
| spl0_137 ),
inference(avatar_component_clause,[],[f914]) ).
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(f1490,plain,
spl0_200,
inference(avatar_split_clause,[],[f28,f1166]) ).
fof(f1492,plain,
spl0_131,
inference(avatar_split_clause,[],[f24,f889]) ).
fof(f1501,plain,
spl0_125,
inference(avatar_split_clause,[],[f1,f865]) ).
fof(f1543,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f1565,plain,
( $false
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f1543,f916]) ).
fof(f1566,plain,
spl0_137,
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1963,plain,
( ! [X0] :
( ~ l0(X0)
| m1(X0,e,X0) )
| ~ spl0_200 ),
inference(resolution,[],[f59,f1167]) ).
fof(f1986,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f159,f19]) ).
fof(f2004,plain,
! [X0] : k2(X0,X0),
inference(resolution,[],[f1986,f167]) ).
fof(f2207,plain,
( m1(c,e,c)
| ~ spl0_131
| ~ spl0_200 ),
inference(resolution,[],[f1963,f890]) ).
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(f2393,plain,
( ! [X0] :
( ~ l0(X0)
| r2(X0) )
| ~ spl0_194 ),
inference(resolution,[],[f2390,f226]) ).
fof(f2429,plain,
( r2(c)
| ~ spl0_131
| ~ spl0_194 ),
inference(resolution,[],[f2393,f890]) ).
fof(f2433,plain,
( $false
| spl0_99
| ~ spl0_131
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f2429,f762]) ).
fof(f2434,plain,
( spl0_99
| ~ spl0_131
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f2433]) ).
fof(f2436,plain,
( ! [X0] :
( ~ k2(c,X0)
| m3(c,X0,c) )
| ~ spl0_99 ),
inference(resolution,[],[f761,f269]) ).
fof(f2898,plain,
( ! [X2,X0,X1] :
( ~ k2(e,X1)
| k2(X2,X1)
| ~ m1(X0,X1,X2) )
| ~ spl0_137 ),
inference(resolution,[],[f165,f915]) ).
fof(f3775,plain,
( ! [X0,X1] :
( ~ m1(X1,e,X0)
| k2(X0,e) )
| ~ spl0_137 ),
inference(resolution,[],[f2898,f2004]) ).
fof(f4416,plain,
( k2(c,e)
| ~ spl0_131
| ~ spl0_137
| ~ spl0_200 ),
inference(resolution,[],[f3775,f2207]) ).
fof(f4417,plain,
( spl0_119
| ~ spl0_131
| ~ spl0_137
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f4416,f1166,f914,f889,f840]) ).
fof(f4420,plain,
( m3(c,e,c)
| ~ spl0_99
| ~ spl0_119 ),
inference(resolution,[],[f841,f2436]) ).
fof(f4425,plain,
( $false
| ~ spl0_99
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f4420,f369]) ).
fof(f4426,plain,
( ~ spl0_99
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f4425]) ).
cnf(s89,plain,
( ~ spl0_125
| spl0_194 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s145,plain,
spl0_200,
inference(sat_conversion,[],[f1490]) ).
cnf(s147,plain,
spl0_131,
inference(sat_conversion,[],[f1492]) ).
cnf(s156,plain,
spl0_125,
inference(sat_conversion,[],[f1501]) ).
cnf(s182,plain,
spl0_137,
inference(sat_conversion,[],[f1566]) ).
cnf(s303,plain,
( spl0_99
| ~ spl0_131
| ~ spl0_194 ),
inference(sat_conversion,[],[f2434]) ).
cnf(s429,plain,
( spl0_119
| ~ spl0_131
| ~ spl0_137
| ~ spl0_200 ),
inference(sat_conversion,[],[f4417]) ).
cnf(s431,plain,
( ~ spl0_99
| ~ spl0_119 ),
inference(sat_conversion,[],[f4426]) ).
cnf(s463,plain,
spl0_119,
inference(rat,[],[s429,s147,s182,s145]) ).
cnf(s464,plain,
~ spl0_99,
inference(rat,[],[s431,s463]) ).
cnf(s466,plain,
~ spl0_194,
inference(rat,[],[s303,s147,s464]) ).
cnf(s548,plain,
$false,
inference(rat,[],[s89,s466,s156]) ).
fof(f4427,plain,
$false,
inference(avatar_sat_refutation,[],[s548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN138-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n006.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 15:36:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 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
% 0.24/0.37 % (4061235)Will run a generic schedule for satisfiability detection.
% 0.24/0.37 % (4061245)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4069418165:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.37 % (4061241)% WARNING: option uhcvi not known.
% 0.24/0.37 % (4061241)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1445804814:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.37 % (4061242)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1638349789:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.37 % (4061243)dis+10_1_sil=32000:sp=arity:random_seed=2237211641:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.37 % (4061240)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=644373967_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.37 % (4061244)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1498239499:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.37 % (4061246)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2113654210:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.37 % (4061245) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4061235-4061245"...
% 0.24/0.37 % (4061245)...printing done.
% 0.24/0.37 % (4061245)Refutation found. Thanks to Tanya!
% 0.24/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.37 % (4061245)------------------------------
% 0.24/0.37 % (4061245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.37 % (4061245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.37 % (4061245)CaDiCaL version: 2.1.3
% 0.24/0.37 % (4061245)Termination reason: Refutation
% 0.24/0.37 % (4061245)Time elapsed: 0.040 s
% 0.24/0.37 % (4061245)Peak memory usage: 14 MB
% 0.24/0.37 % (4061245)Instructions burned: 69 (million)
% 0.24/0.37 % (4061235)Success in time 0.097 s
% 0.24/0.37 % Vampire exiting
%------------------------------------------------------------------------------