%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN285-1 : 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 : n017.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 02:07:12 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 17 unt; 5 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 101 ( 51 ~; 45 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ k0(X2)
| q1(X0,X1,X1)
| ~ l0(X0)
| ~ q1(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_099) ).
fof(f147,axiom,
! [X2,X0,X1] :
( q1(X0,X0,X1)
| ~ p0(X2,X2)
| ~ q0(X1,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_109) ).
fof(f369,negated_conjecture,
~ q1(a,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f1079,definition,
( spl0_179
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1080,plain,
( k0(b)
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1121,definition,
( spl0_189
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f1122,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1200,definition,
( spl0_208
<=> ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ k1(X0)
| q1(X0,X0,X1)
| ~ q0(X1,X0) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1202,plain,
( spl0_189
| spl0_208 ),
inference(avatar_split_clause,[],[f147,f1200,f1121]) ).
fof(f1248,definition,
( spl0_220
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
fof(f1249,plain,
( l0(a)
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1488,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1489,plain,
spl0_179,
inference(avatar_split_clause,[],[f32,f1079]) ).
fof(f1494,plain,
spl0_220,
inference(avatar_split_clause,[],[f20,f1248]) ).
fof(f1527,plain,
( $false
| ~ spl0_189 ),
inference(resolution,[],[f1122,f14]) ).
fof(f1528,plain,
~ spl0_189,
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1550,plain,
( k1(d)
| ~ spl0_49 ),
inference(resolution,[],[f39,f560]) ).
fof(f2411,plain,
( ! [X0] :
( q1(d,d,X0)
| ~ q0(X0,d) )
| ~ spl0_49
| ~ spl0_208 ),
inference(resolution,[],[f1201,f1550]) ).
fof(f2416,plain,
( ! [X0] : q1(d,d,X0)
| ~ spl0_49
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f2411,f17]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ l0(X0)
| q1(X0,X1,X1)
| ~ q1(X1,X1,b) )
| ~ spl0_179 ),
inference(resolution,[],[f137,f1080]) ).
fof(f3766,plain,
( ! [X0] :
( ~ q1(X0,X0,b)
| q1(a,X0,X0) )
| ~ spl0_179
| ~ spl0_220 ),
inference(resolution,[],[f2885,f1249]) ).
fof(f4229,plain,
( q1(a,d,d)
| ~ spl0_49
| ~ spl0_179
| ~ spl0_208
| ~ spl0_220 ),
inference(resolution,[],[f3766,f2416]) ).
fof(f4233,plain,
( $false
| ~ spl0_49
| ~ spl0_179
| ~ spl0_208
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f4229,f369]) ).
fof(f4234,plain,
( ~ spl0_49
| ~ spl0_179
| ~ spl0_208
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f4233]) ).
cnf(s98,plain,
( spl0_189
| spl0_208 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s143,plain,
spl0_49,
inference(sat_conversion,[],[f1488]) ).
cnf(s144,plain,
spl0_179,
inference(sat_conversion,[],[f1489]) ).
cnf(s149,plain,
spl0_220,
inference(sat_conversion,[],[f1494]) ).
cnf(s168,plain,
~ spl0_189,
inference(sat_conversion,[],[f1528]) ).
cnf(s423,plain,
( ~ spl0_49
| ~ spl0_179
| ~ spl0_208
| ~ spl0_220 ),
inference(sat_conversion,[],[f4234]) ).
cnf(s456,plain,
~ spl0_208,
inference(rat,[],[s423,s149,s144,s143]) ).
cnf(s526,plain,
$false,
inference(rat,[],[s98,s456,s168]) ).
fof(f4235,plain,
$false,
inference(avatar_sat_refutation,[],[s526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % 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 15:36:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.28 % (3651724)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3651734)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1213319265:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3651730)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3651729)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=278452993_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (3651731)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=150567924:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3651730)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4170541936:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3651733)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2546890699:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3651735)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2871946163:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (3651732)dis+10_1_sil=32000:sp=arity:random_seed=3580809052:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3651734) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3651724-3651734"...
% 0.20/0.28 % (3651734)...printing done.
% 0.20/0.28 % (3651734)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3651734)------------------------------
% 0.20/0.28 % (3651734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3651734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3651734)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3651734)Termination reason: Refutation
% 0.20/0.28 % (3651734)Time elapsed: 0.025 s
% 0.20/0.28 % (3651734)Peak memory usage: 14 MB
% 0.20/0.28 % (3651734)Instructions burned: 65 (million)
% 0.20/0.28 % (3651724)Success in time 0.048 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------