%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN189-1 : 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 02:06:58 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 16 unt; 5 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 36 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
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(f148,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).
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(f226,axiom,
! [X0] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f369,negated_conjecture,
~ r2(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f774,definition,
( spl0_103
<=> r2(c) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f776,plain,
( ~ r2(c)
| spl0_103 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f901,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1161,definition,
( spl0_199
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f1162,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1163,plain,
( ~ spl0_128
| spl0_199 ),
inference(avatar_split_clause,[],[f162,f1161,f876]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1569,plain,
~ spl0_103,
inference(avatar_split_clause,[],[f369,f774]) ).
fof(f2029,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f148,f19]) ).
fof(f2402,plain,
( ! [X0] :
( r1(X0)
| ~ q0(X0,d) )
| ~ spl0_199 ),
inference(resolution,[],[f1162,f2029]) ).
fof(f2412,plain,
( ! [X0] : r1(X0)
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f2402,f17]) ).
fof(f2420,definition,
( spl0_298
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
fof(f2421,plain,
( ! [X0] : r1(X0)
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f2424,plain,
( spl0_298
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2412,f1161,f2420]) ).
fof(f2435,plain,
( ! [X0] :
( ~ l0(X0)
| r2(X0) )
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f226,f2421]) ).
fof(f2440,plain,
( r2(c)
| ~ spl0_134
| ~ spl0_298 ),
inference(resolution,[],[f2435,f901]) ).
fof(f2444,plain,
( $false
| spl0_103
| ~ spl0_134
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f2440,f776]) ).
fof(f2445,plain,
( spl0_103
| ~ spl0_134
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f2444]) ).
cnf(s92,plain,
( ~ spl0_128
| spl0_199 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s169,plain,
~ spl0_103,
inference(sat_conversion,[],[f1569]) ).
cnf(s347,plain,
( ~ spl0_199
| spl0_298 ),
inference(sat_conversion,[],[f2424]) ).
cnf(s356,plain,
( spl0_103
| ~ spl0_134
| ~ spl0_298 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s370,plain,
~ spl0_298,
inference(rat,[],[s356,s169,s158]) ).
cnf(s373,plain,
~ spl0_199,
inference(rat,[],[s347,s370]) ).
cnf(s428,plain,
$false,
inference(rat,[],[s92,s373,s168]) ).
fof(f2446,plain,
$false,
inference(avatar_sat_refutation,[],[s428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN189-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:37:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.20/0.29 % (4066244)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (4066253)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2798856223:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (4066250)% WARNING: option uhcvi not known.
% 0.20/0.29 % (4066249)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2249367511_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (4066250)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3941027344:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (4066252)dis+10_1_sil=32000:sp=arity:random_seed=2277605684:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (4066251)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3908997821:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (4066254)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2161708153:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (4066255)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1785073220:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (4066252) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4066244-4066252"...
% 0.20/0.29 % (4066254) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4066244-4066254"...
% 0.20/0.29 % Detected minimum model sizes of [1]
% 0.20/0.29 % Detected maximum model sizes of [5]
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % (4066252)...printing done.
% 0.20/0.29 % (4066253) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4066244-4066253"...
% 0.20/0.29 % (4066254)...printing done.
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % (4066252)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (4066252)------------------------------
% 0.20/0.29 % (4066252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (4066252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (4066252)CaDiCaL version: 2.1.3
% 0.20/0.29 % (4066252)Termination reason: Refutation
% 0.20/0.29 % (4066252)Time elapsed: 0.020 s
% 0.20/0.29 % (4066252)Peak memory usage: 13 MB
% 0.20/0.29 % (4066252)Instructions burned: 30 (million)
% 0.20/0.29 % (4066244)Success in time 0.073 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------