%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN273-1 : 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 : n011.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 02:07:10 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 23 unt; 6 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 50 ~; 56 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 7 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( k2(X0,X1)
| ~ m1(X2,X1,X0)
| ~ k1(X3)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f168,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_130) ).
fof(f232,axiom,
! [X0,X1] :
( k3(X0,X0,X1)
| ~ k2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_194) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f369,negated_conjecture,
~ p4(e,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f375,plain,
~ l0(c),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f376,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| ~ k1(X0) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f395,plain,
! [X0,X1] :
( ~ m1(X0,X1,X0)
| l0(X0)
| ~ k0(X1) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f490,plain,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| m1(X2,X1,X0)
| k1(X3)
| k2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f546,plain,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| ~ k2(X1,X0) ),
inference(consistent_polarity_flipping,[],[f232]) ).
fof(f625,plain,
! [X0,X1] :
( ~ p4(X0,X1,X0)
| k3(X0,X0,X1) ),
inference(consistent_polarity_flipping,[],[f325]) ).
fof(f656,plain,
p4(e,c,e),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f1138,definition,
( spl0_122
<=> k2(c,e) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f1140,plain,
( ~ k2(c,e)
| spl0_122 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1187,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1188,plain,
( ~ l0(c)
| spl0_134 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1212,definition,
( spl0_140
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1213,plain,
( ~ k1(e)
| spl0_140 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1435,definition,
( spl0_196
<=> l1(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
fof(f1439,definition,
( spl0_197
<=> k2(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
fof(f1441,plain,
( k2(e,e)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1442,plain,
( ~ spl0_196
| spl0_197 ),
inference(avatar_split_clause,[],[f168,f1439,f1435]) ).
fof(f1473,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1474,plain,
( k0(e)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1843,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1473]) ).
fof(f1845,plain,
~ spl0_134,
inference(avatar_split_clause,[],[f375,f1187]) ).
fof(f1917,plain,
~ k1(e),
inference(resolution,[],[f376,f30]) ).
fof(f1935,plain,
~ spl0_140,
inference(avatar_split_clause,[],[f1917,f1212]) ).
fof(f1976,plain,
l1(e,e),
inference(resolution,[],[f40,f30]) ).
fof(f1990,plain,
spl0_196,
inference(avatar_split_clause,[],[f1976,f1435]) ).
fof(f2270,plain,
k3(e,e,c),
inference(resolution,[],[f625,f656]) ).
fof(f2275,plain,
~ k2(c,e),
inference(resolution,[],[f2270,f546]) ).
fof(f2276,plain,
~ spl0_122,
inference(avatar_split_clause,[],[f2275,f1138]) ).
fof(f3010,plain,
( ! [X0,X1] :
( m1(X0,e,X1)
| k1(e)
| k2(X1,e) )
| ~ spl0_197 ),
inference(resolution,[],[f490,f1441]) ).
fof(f3018,plain,
( ! [X0,X1] :
( m1(X0,e,X1)
| k2(X1,e) )
| spl0_140
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f3010,f1213]) ).
fof(f3701,plain,
( ! [X0] :
( k2(X0,e)
| l0(X0)
| ~ k0(e) )
| spl0_140
| ~ spl0_197 ),
inference(resolution,[],[f3018,f395]) ).
fof(f3717,plain,
( ! [X0] :
( k2(X0,e)
| l0(X0) )
| spl0_140
| ~ spl0_197
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f3701,f1474]) ).
fof(f5342,plain,
( l0(c)
| spl0_122
| spl0_140
| ~ spl0_197
| ~ spl0_205 ),
inference(resolution,[],[f3717,f1140]) ).
fof(f5345,plain,
( $false
| spl0_122
| spl0_134
| spl0_140
| ~ spl0_197
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f5342,f1188]) ).
fof(f5346,plain,
( spl0_122
| spl0_134
| spl0_140
| ~ spl0_197
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f5345]) ).
cnf(s90,plain,
( ~ spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f1442]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1843]) ).
cnf(s158,plain,
~ spl0_134,
inference(sat_conversion,[],[f1845]) ).
cnf(s206,plain,
~ spl0_140,
inference(sat_conversion,[],[f1935]) ).
cnf(s226,plain,
spl0_196,
inference(sat_conversion,[],[f1990]) ).
cnf(s275,plain,
~ spl0_122,
inference(sat_conversion,[],[f2276]) ).
cnf(s749,plain,
( spl0_122
| spl0_134
| spl0_140
| ~ spl0_197
| ~ spl0_205 ),
inference(sat_conversion,[],[f5346]) ).
cnf(s812,plain,
~ spl0_197,
inference(rat,[],[s749,s158,s206,s275,s156]) ).
cnf(s896,plain,
$false,
inference(rat,[],[s90,s812,s226]) ).
fof(f5347,plain,
$false,
inference(avatar_sat_refutation,[],[s896]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n011.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 15:40:21 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 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
% 0.20/0.30 % (3482820)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (3482830)% WARNING: option uhcvi not known.
% 0.20/0.30 % (3482830)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1648391124:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (3482831)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1260979584:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (3482829)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=960822343_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % (3482832)dis+10_1_sil=32000:sp=arity:random_seed=2180462917:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (3482833)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3194091352:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (3482834)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=436504998:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % (3482835)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1442763925:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % Detected minimum model sizes of [1]
% 0.20/0.30 % Detected maximum model sizes of [5]
% 0.20/0.30 % TRYING [1]
% 0.20/0.30 % TRYING [2]
% 0.20/0.30 % TRYING [3]
% 0.20/0.30 % (3482830) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3482820-3482830"...
% 0.20/0.30 % (3482830)...printing done.
% 0.20/0.30 % (3482830)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30 % (3482830)------------------------------
% 0.20/0.30 % (3482830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (3482830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (3482830)CaDiCaL version: 2.1.3
% 0.20/0.30 % (3482830)Termination reason: Refutation
% 0.20/0.30 % (3482830)Time elapsed: 0.040 s
% 0.20/0.30 % (3482830)Peak memory usage: 15 MB
% 0.20/0.30 % (3482830)Instructions burned: 105 (million)
% 0.20/0.30 % (3482820)Success in time 0.062 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------