%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN299-1 : 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 02:07:14 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 16 unt; 6 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 109 ( 57 ~; 46 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 7 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_38) ).
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] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f215,axiom,
! [X0,X1] :
( ~ k0(X1)
| q2(X0,X1,X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
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] :
( s3(X0,X1)
| ~ q2(X2,X0,X2)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f369,negated_conjecture,
~ s3(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f805,definition,
( spl0_110
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f807,plain,
( ~ s1(b)
| spl0_110 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f809,definition,
( spl0_111
<=> ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f810,plain,
( ! [X0] :
( s2(X0)
| ~ q2(b,X0,b) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f811,plain,
( ~ spl0_110
| spl0_111 ),
inference(avatar_split_clause,[],[f227,f809,f805]) ).
fof(f985,definition,
( spl0_156
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f986,plain,
( k0(b)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1282,plain,
spl0_156,
inference(avatar_split_clause,[],[f32,f985]) ).
fof(f1362,plain,
( ~ p0(b,b)
| spl0_110 ),
inference(resolution,[],[f807,f163]) ).
fof(f1363,plain,
( $false
| spl0_110 ),
inference(forward_subsumption_resolution,[],[f1362,f14]) ).
fof(f1364,plain,
spl0_110,
inference(avatar_contradiction_clause,[],[f1363]) ).
fof(f1543,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f2031,plain,
( ! [X0] :
( q2(X0,b,b)
| ~ p1(X0,X0,X0) )
| ~ spl0_156 ),
inference(resolution,[],[f215,f986]) ).
fof(f2034,plain,
( ! [X0] : q2(X0,b,b)
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f2031,f1543]) ).
fof(f2741,plain,
! [X0,X1] :
( ~ q2(X0,b,X0)
| ~ s2(b)
| ~ m0(X0,X1,a) ),
inference(resolution,[],[f311,f369]) ).
fof(f2752,definition,
( spl0_305
<=> s2(b) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
fof(f2754,plain,
( ~ s2(b)
| spl0_305 ),
inference(avatar_component_clause,[],[f2752]) ).
fof(f2756,definition,
( spl0_306
<=> ! [X0,X1] :
( ~ q2(X0,b,X0)
| ~ m0(X0,X1,a) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
fof(f2757,plain,
( ! [X0,X1] :
( ~ q2(X0,b,X0)
| ~ m0(X0,X1,a) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f2756]) ).
fof(f2758,plain,
( ~ spl0_305
| spl0_306 ),
inference(avatar_split_clause,[],[f2741,f2756,f2752]) ).
fof(f2759,plain,
( ~ q2(b,b,b)
| ~ spl0_111
| spl0_305 ),
inference(resolution,[],[f2754,f810]) ).
fof(f2760,plain,
( $false
| ~ spl0_111
| ~ spl0_156
| spl0_305 ),
inference(forward_subsumption_resolution,[],[f2759,f2034]) ).
fof(f2761,plain,
( ~ spl0_111
| ~ spl0_156
| spl0_305 ),
inference(avatar_contradiction_clause,[],[f2760]) ).
fof(f2818,plain,
( ! [X0] :
( ~ m0(b,X0,a)
| ~ p1(b,b,b) )
| ~ spl0_306 ),
inference(resolution,[],[f2757,f219]) ).
fof(f2819,plain,
( ! [X0] : ~ m0(b,X0,a)
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f2818,f1543]) ).
fof(f2824,definition,
( spl0_312
<=> ! [X0] : ~ m0(b,X0,a) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
fof(f2825,plain,
( ! [X0] : ~ m0(b,X0,a)
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f2838,plain,
( spl0_312
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f2819,f2756,f2824]) ).
fof(f2841,plain,
( $false
| ~ spl0_312 ),
inference(resolution,[],[f2825,f38]) ).
fof(f2844,plain,
~ spl0_312,
inference(avatar_contradiction_clause,[],[f2841]) ).
cnf(s50,plain,
( ~ spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f811]) ).
cnf(s122,plain,
spl0_156,
inference(sat_conversion,[],[f1282]) ).
cnf(s162,plain,
spl0_110,
inference(sat_conversion,[],[f1364]) ).
cnf(s316,plain,
( ~ spl0_305
| spl0_306 ),
inference(sat_conversion,[],[f2758]) ).
cnf(s317,plain,
( ~ spl0_111
| ~ spl0_156
| spl0_305 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s324,plain,
( ~ spl0_306
| spl0_312 ),
inference(sat_conversion,[],[f2838]) ).
cnf(s328,plain,
~ spl0_312,
inference(sat_conversion,[],[f2844]) ).
cnf(s330,plain,
~ spl0_306,
inference(rat,[],[s324,s328]) ).
cnf(s331,plain,
~ spl0_305,
inference(rat,[],[s316,s330]) ).
cnf(s347,plain,
~ spl0_111,
inference(rat,[],[s317,s331,s122]) ).
cnf(s452,plain,
$false,
inference(rat,[],[s50,s347,s162]) ).
fof(f2845,plain,
$false,
inference(avatar_sat_refutation,[],[s452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN299-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:39:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.21/0.28 % (1284996)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (1285005)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3143843635:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (1285002)% WARNING: option uhcvi not known.
% 0.21/0.28 % (1285001)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3444877384_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (1285002)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2645403903:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (1285003)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2630363855:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (1285004)dis+10_1_sil=32000:sp=arity:random_seed=3332479207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (1285007)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=345539528:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % (1285006)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=420381116:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28 % (1285005) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1284996-1285005"...
% 0.21/0.28 % (1285005)...printing done.
% 0.21/0.28 % (1285005)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (1285005)------------------------------
% 0.21/0.28 % (1285005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (1285005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (1285005)CaDiCaL version: 2.1.3
% 0.21/0.28 % (1285005)Termination reason: Refutation
% 0.21/0.28 % (1285005)Time elapsed: 0.022 s
% 0.21/0.28 % (1285005)Peak memory usage: 13 MB
% 0.21/0.28 % (1285005)Instructions burned: 63 (million)
% 0.21/0.28 % (1284996)Success in time 0.043 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------