%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN148-1 : 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 : n010.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 02:06:53 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 18 unt; 4 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 34 ~; 40 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f88,axiom,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ s0(b)
| ~ l0(X0)
| ~ p0(b,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( n1(X0,X1,X1)
| ~ l0(X2)
| ~ l1(X2,X0)
| ~ n1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_054) ).
fof(f369,negated_conjecture,
~ n1(c,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f371,plain,
~ s0(b),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f375,plain,
! [X0] : ~ p0(b,X0),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f379,plain,
~ l0(c),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f422,plain,
! [X0,X1] :
( n1(X0,X1,X0)
| s0(b)
| l0(X0)
| p0(b,X1) ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ l1(X2,X0)
| l0(X2)
| n1(X0,X1,X1)
| ~ n1(X0,X1,X0) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f1200,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1201,plain,
( ~ l0(c)
| spl0_134 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1470,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1719,definition,
( spl0_261
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| p0(b,X1)
| l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
fof(f1720,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| p0(b,X1)
| l0(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1721,plain,
( spl0_201
| spl0_261 ),
inference(avatar_split_clause,[],[f422,f1719,f1470]) ).
fof(f1828,definition,
( spl0_287
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
fof(f1829,plain,
( l1(c,c)
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1858,plain,
~ spl0_134,
inference(avatar_split_clause,[],[f379,f1200]) ).
fof(f1867,plain,
~ spl0_201,
inference(avatar_split_clause,[],[f371,f1470]) ).
fof(f2014,plain,
l1(c,c),
inference(resolution,[],[f40,f26]) ).
fof(f2023,plain,
spl0_287,
inference(avatar_split_clause,[],[f2014,f1828]) ).
fof(f2436,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| l0(X0) )
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f1720,f375]) ).
fof(f2784,plain,
( ! [X0] :
( l0(c)
| n1(c,X0,X0)
| ~ n1(c,X0,c) )
| ~ spl0_287 ),
inference(resolution,[],[f426,f1829]) ).
fof(f2785,plain,
( ! [X0] :
( l0(c)
| n1(c,X0,X0) )
| ~ spl0_261
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f2784,f2436]) ).
fof(f2791,plain,
( ! [X0] : n1(c,X0,X0)
| spl0_134
| ~ spl0_261
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f2785,f1201]) ).
fof(f2878,plain,
( $false
| spl0_134
| ~ spl0_261
| ~ spl0_287 ),
inference(backward_subsumption_resolution,[],[f369,f2791]) ).
fof(f2879,plain,
( spl0_134
| ~ spl0_261
| ~ spl0_287 ),
inference(avatar_contradiction_clause,[],[f2878]) ).
cnf(s131,plain,
( spl0_201
| spl0_261 ),
inference(sat_conversion,[],[f1721]) ).
cnf(s158,plain,
~ spl0_134,
inference(sat_conversion,[],[f1858]) ).
cnf(s167,plain,
~ spl0_201,
inference(sat_conversion,[],[f1867]) ).
cnf(s232,plain,
spl0_287,
inference(sat_conversion,[],[f2023]) ).
cnf(s344,plain,
( spl0_134
| ~ spl0_261
| ~ spl0_287 ),
inference(sat_conversion,[],[f2879]) ).
cnf(s354,plain,
~ spl0_261,
inference(rat,[],[s344,s232,s158]) ).
cnf(s380,plain,
$false,
inference(rat,[],[s131,s354,s167]) ).
fof(f2880,plain,
$false,
inference(avatar_sat_refutation,[],[s380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN148-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n010.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:37:18 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.26 % (2014198)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (2014204)% WARNING: option uhcvi not known.
% 0.08/0.26 % (2014204)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3952201531:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (2014203)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1375425661_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (2014206)dis+10_1_sil=32000:sp=arity:random_seed=3441385106:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (2014205)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=646846602:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (2014207)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3571623991:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (2014208)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3229962992:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (2014209)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2266573543:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (2014204) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2014198-2014204"...
% 0.08/0.26 % (2014204)...printing done.
% 0.08/0.26 % (2014204)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (2014204)------------------------------
% 0.08/0.26 % (2014204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (2014204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (2014204)CaDiCaL version: 2.1.3
% 0.08/0.26 % (2014204)Termination reason: Refutation
% 0.08/0.26 % (2014204)Time elapsed: 0.018 s
% 0.08/0.26 % (2014204)Peak memory usage: 14 MB
% 0.08/0.26 % (2014204)Instructions burned: 43 (million)
% 0.08/0.26 % (2014198)Success in time 0.051 s
% 0.40/0.26 % Vampire exiting
%------------------------------------------------------------------------------