%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN117-1 : 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 : n009.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 02:06:48 PM UTC 2026
% Result : Unsatisfiable 0.35s 0.45s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 69 ( 21 unt; 8 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 125 ( 64 ~; 53 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 9 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
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(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f212,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ n2(X0)
| ~ k1(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_174) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f305,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( s4(X0)
| ~ p3(X1,X2,X3)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f338,axiom,
! [X2,X0,X1] :
( k5(X0)
| ~ s4(X1)
| ~ r3(X2,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_300) ).
fof(f369,negated_conjecture,
~ k5(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f376,definition,
( spl0_1
<=> ! [X0] : r3(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f377,plain,
( ! [X0] : r3(X0,X0,X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f413,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f468,plain,
l1(d,d),
inference(resolution,[],[f40,f34]) ).
fof(f481,definition,
( spl0_19
<=> ! [X0] : p1(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f482,plain,
( ! [X0] : p1(X0,X0,X0)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f496,definition,
( spl0_21
<=> ! [X0] : n2(X0) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f497,plain,
( ! [X0] : n2(X0)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f557,definition,
( spl0_31
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f558,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f635,plain,
( ! [X0] : n2(X0)
| ~ spl0_19 ),
inference(resolution,[],[f482,f175]) ).
fof(f655,definition,
( spl0_40
<=> ! [X2,X1] : ~ l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f656,plain,
( ! [X2,X1] : ~ l1(X1,X2)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f680,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f468,f656]) ).
fof(f681,plain,
~ spl0_40,
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f923,plain,
! [X0] :
( p2(X0,X0,X0)
| ~ n2(X0) ),
inference(forward_subsumption_resolution,[],[f212,f413]) ).
fof(f942,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f923,f497]) ).
fof(f976,plain,
( ! [X0] : r3(X0,X0,X0)
| ~ spl0_31 ),
inference(resolution,[],[f305,f558]) ).
fof(f982,definition,
( spl0_75
<=> ! [X1] : ~ s4(X1) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f983,plain,
( ! [X1] : ~ s4(X1)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f988,definition,
( spl0_77
<=> ! [X0] : k5(X0) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f989,plain,
( ! [X0] : k5(X0)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f991,definition,
( spl0_78
<=> ! [X2,X0] :
( k5(X0)
| ~ r3(X2,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f992,plain,
( ! [X2,X0] :
( ~ r3(X2,X0,X0)
| k5(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f993,plain,
( spl0_75
| spl0_78 ),
inference(avatar_split_clause,[],[f338,f991,f982]) ).
fof(f1011,plain,
( $false
| ~ spl0_77 ),
inference(resolution,[],[f989,f369]) ).
fof(f1012,plain,
~ spl0_77,
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1014,plain,
( spl0_1
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f976,f557,f376]) ).
fof(f1020,plain,
( spl0_31
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f942,f496,f557]) ).
fof(f1022,plain,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(global_subsumption,[],[f282]) ).
fof(f1024,plain,
( spl0_21
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f635,f481,f496]) ).
fof(f1057,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f1059,plain,
spl0_19,
inference(avatar_split_clause,[],[f1057,f481]) ).
fof(f1197,plain,
( ! [X2,X3,X0,X1] :
( ~ p3(X1,X2,X3)
| ~ l1(X0,X2) )
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f337,f983]) ).
fof(f1198,plain,
( ! [X0,X1] :
( ~ l1(X0,X1)
| ~ n2(X1) )
| ~ spl0_75 ),
inference(resolution,[],[f1197,f1022]) ).
fof(f1199,plain,
( ! [X0,X1] : ~ l1(X0,X1)
| ~ spl0_21
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1198,f497]) ).
fof(f1200,plain,
( spl0_40
| ~ spl0_21
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1199,f982,f496,f655]) ).
fof(f1210,plain,
( ! [X0] : k5(X0)
| ~ spl0_1
| ~ spl0_78 ),
inference(resolution,[],[f992,f377]) ).
fof(f1213,plain,
( spl0_77
| ~ spl0_1
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1210,f991,f376,f988]) ).
cnf(s640,plain,
~ spl0_40,
inference(sat_conversion,[],[f681]) ).
cnf(s875,plain,
( spl0_75
| spl0_78 ),
inference(sat_conversion,[],[f993]) ).
cnf(s896,plain,
~ spl0_77,
inference(sat_conversion,[],[f1012]) ).
cnf(s905,plain,
( spl0_1
| ~ spl0_31 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s939,plain,
( ~ spl0_21
| spl0_31 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s956,plain,
( ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s991,plain,
spl0_19,
inference(sat_conversion,[],[f1059]) ).
cnf(s1119,plain,
( ~ spl0_21
| spl0_40
| ~ spl0_75 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s1130,plain,
( ~ spl0_1
| spl0_77
| ~ spl0_78 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s1136,plain,
spl0_21,
inference(rat,[],[s956,s991]) ).
cnf(s1137,plain,
spl0_31,
inference(rat,[],[s939,s1136]) ).
cnf(s1138,plain,
spl0_1,
inference(rat,[],[s905,s1137]) ).
cnf(s1139,plain,
~ spl0_78,
inference(rat,[],[s1130,s1138,s896]) ).
cnf(s1141,plain,
spl0_75,
inference(rat,[],[s875,s1139]) ).
cnf(s1142,plain,
spl0_40,
inference(rat,[],[s1119,s1136,s1141]) ).
cnf(s1144,plain,
$false,
inference(rat,[],[s640,s1142]) ).
fof(f1214,plain,
$false,
inference(avatar_sat_refutation,[],[s1144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN117-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.30 % Computer : n009.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8046.5625MB
% 0.11/0.30 % OS : Linux 6.8.0-71-generic
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Sep 28 15:36:04 UTC 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.31/0.36 Running first-order model finding
% 0.31/0.36 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
% 0.35/0.45 % (3156439)Will run a generic schedule for satisfiability detection.
% 0.35/0.45 % (3156446)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1416906576:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.45 % (3156445)% WARNING: option uhcvi not known.
% 0.35/0.45 % (3156445)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3605280039:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.45 % (3156447)dis+10_1_sil=32000:sp=arity:random_seed=328008982:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.45 % (3156444)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1261723819_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.45 % (3156449)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1251463099:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.45 % (3156448)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3279549516:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.45 % (3156450)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2724943130:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.45 % (3156446) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3156439-3156446"...
% 0.35/0.45 % (3156446)...printing done.
% 0.35/0.45 % (3156446)Refutation found. Thanks to Tanya!
% 0.35/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.35/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.45 % (3156446)------------------------------
% 0.35/0.45 % (3156446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.45 % (3156446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.45 % (3156446)CaDiCaL version: 2.1.3
% 0.35/0.45 % (3156446)Termination reason: Refutation
% 0.35/0.45 % (3156446)Time elapsed: 0.019 s
% 0.35/0.45 % (3156446)Peak memory usage: 13 MB
% 0.35/0.45 % (3156446)Instructions burned: 30 (million)
% 0.35/0.45 % (3156439)Success in time 0.075 s
% 0.35/0.45 % Vampire exiting
%------------------------------------------------------------------------------