%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN126-1 : 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 : n008.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 02:06:49 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.26s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 18 unt; 4 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
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] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_079) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( l4(X0)
| ~ p3(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f369,negated_conjecture,
~ l4(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f389,plain,
~ l0(c),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f398,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| ~ k1(X0) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f472,plain,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| k1(X0)
| l0(c) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f614,plain,
! [X0] :
( ~ p3(X0,X0,X0)
| ~ n2(X0) ),
inference(consistent_polarity_flipping,[],[f282]) ).
fof(f644,plain,
! [X2,X0,X1] :
( ~ l4(X0)
| p3(X1,X2,X0) ),
inference(consistent_polarity_flipping,[],[f315]) ).
fof(f686,plain,
l4(b),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f1217,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1446,definition,
( spl0_191
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1447,plain,
( ~ k1(b)
| spl0_191 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f1503,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1622,definition,
( spl0_234
<=> ! [X0] :
( p1(X0,X0,X0)
| k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
fof(f1623,plain,
( ! [X0] :
( p1(X0,X0,X0)
| k1(X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1624,plain,
( spl0_134
| ~ spl0_205
| spl0_234 ),
inference(avatar_split_clause,[],[f472,f1622,f1503,f1217]) ).
fof(f1873,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1503]) ).
fof(f1875,plain,
~ spl0_134,
inference(avatar_split_clause,[],[f389,f1217]) ).
fof(f1949,plain,
~ k1(b),
inference(resolution,[],[f398,f15]) ).
fof(f1956,plain,
~ spl0_191,
inference(avatar_split_clause,[],[f1949,f1446]) ).
fof(f2060,plain,
! [X0,X1] : p3(X0,X1,b),
inference(resolution,[],[f644,f686]) ).
fof(f2061,plain,
~ n2(b),
inference(resolution,[],[f2060,f614]) ).
fof(f2066,plain,
( ! [X0] :
( n2(X0)
| k1(X0) )
| ~ spl0_234 ),
inference(resolution,[],[f1623,f175]) ).
fof(f2129,plain,
( k1(b)
| ~ spl0_234 ),
inference(resolution,[],[f2066,f2061]) ).
fof(f2130,plain,
( $false
| spl0_191
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f2129,f1447]) ).
fof(f2131,plain,
( spl0_191
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f2130]) ).
cnf(s116,plain,
( spl0_134
| ~ spl0_205
| spl0_234 ),
inference(sat_conversion,[],[f1624]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1873]) ).
cnf(s158,plain,
~ spl0_134,
inference(sat_conversion,[],[f1875]) ).
cnf(s198,plain,
~ spl0_191,
inference(sat_conversion,[],[f1956]) ).
cnf(s260,plain,
( spl0_191
| ~ spl0_234 ),
inference(sat_conversion,[],[f2131]) ).
cnf(s264,plain,
~ spl0_234,
inference(rat,[],[s260,s198]) ).
cnf(s294,plain,
$false,
inference(rat,[],[s116,s264,s156,s158]) ).
fof(f2132,plain,
$false,
inference(avatar_sat_refutation,[],[s294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN126-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n008.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
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:36:55 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
% 0.20/0.26 % (2346639)Will run a generic schedule for satisfiability detection.
% 0.20/0.26 % (2346645)% WARNING: option uhcvi not known.
% 0.20/0.26 % (2346645)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1516342781:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.26 % (2346644)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1188068645_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.26 % (2346645) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2346639-2346645"...
% 0.20/0.26 % (2346648)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=756863927:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.26 % (2346646)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1290966429:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.26 % (2346647)dis+10_1_sil=32000:sp=arity:random_seed=3057214525:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.26 % (2346650)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2548984085:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.26 % (2346649)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2920813150:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.26 % (2346645)...printing done.
% 0.20/0.26 % (2346645)Refutation found. Thanks to Tanya!
% 0.20/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (2346645)------------------------------
% 0.20/0.27 % (2346645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2346645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2346645)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2346645)Termination reason: Refutation
% 0.20/0.27 % (2346645)Time elapsed: 0.008 s
% 0.20/0.27 % (2346645)Peak memory usage: 13 MB
% 0.20/0.27 % (2346645)Instructions burned: 19 (million)
% 0.20/0.27 % (2346639)Success in time 0.043 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------