%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN176-1 : 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 : n016.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 02:06:57 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 20 unt; 6 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 53 ~; 43 |; 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
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(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f221,axiom,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l0(c)
| ~ l2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_183) ).
fof(f369,negated_conjecture,
! [X0] : ~ q2(e,c,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f415,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f446,definition,
( spl0_12
<=> ! [X0] : s1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f447,plain,
( ! [X0] : s1(X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl0_13
<=> ! [X0] : ~ p0(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f450,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f452,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f450,f14]) ).
fof(f453,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f1068,definition,
( spl0_81
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f1069,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1071,definition,
( spl0_82
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1073,plain,
( spl0_81
| spl0_82 ),
inference(avatar_split_clause,[],[f164,f1071,f1068]) ).
fof(f1074,plain,
( $false
| ~ spl0_81 ),
inference(resolution,[],[f1069,f451]) ).
fof(f1075,plain,
~ spl0_81,
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1837,plain,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l2(X1,X0) ),
inference(forward_subsumption_resolution,[],[f221,f24]) ).
fof(f1838,plain,
( ! [X0] : s1(X0)
| ~ spl0_82 ),
inference(resolution,[],[f1072,f17]) ).
fof(f1845,plain,
( spl0_12
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1838,f1071,f446]) ).
fof(f1855,plain,
! [X0] :
( ~ l2(X0,e)
| ~ k1(X0) ),
inference(resolution,[],[f1837,f369]) ).
fof(f1871,plain,
( ! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ m0(X3,X2,X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f171,f447]) ).
fof(f1890,definition,
( spl0_170
<=> ! [X0] : l2(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1891,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1893,definition,
( spl0_171
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1894,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f1895,plain,
( spl0_13
| spl0_171
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1871,f446,f1893,f449]) ).
fof(f1897,plain,
( ~ k1(e)
| ~ spl0_170 ),
inference(resolution,[],[f1891,f1855]) ).
fof(f1898,plain,
( $false
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f1897,f415]) ).
fof(f1899,plain,
~ spl0_170,
inference(avatar_contradiction_clause,[],[f1898]) ).
fof(f1900,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_171 ),
inference(resolution,[],[f1894,f19]) ).
fof(f1910,plain,
( spl0_170
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1900,f1893,f1890]) ).
cnf(s451,plain,
~ spl0_13,
inference(sat_conversion,[],[f453]) ).
cnf(s992,plain,
( spl0_81
| spl0_82 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s996,plain,
~ spl0_81,
inference(sat_conversion,[],[f1075]) ).
cnf(s1583,plain,
( spl0_12
| ~ spl0_82 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s1617,plain,
( ~ spl0_12
| spl0_13
| spl0_171 ),
inference(sat_conversion,[],[f1895]) ).
cnf(s1621,plain,
~ spl0_170,
inference(sat_conversion,[],[f1899]) ).
cnf(s1635,plain,
( spl0_170
| ~ spl0_171 ),
inference(sat_conversion,[],[f1910]) ).
cnf(s1636,plain,
~ spl0_171,
inference(rat,[],[s1635,s1621]) ).
cnf(s1637,plain,
( ~ spl0_12
| spl0_13 ),
inference(rat,[],[s1617,s1636]) ).
cnf(s1644,plain,
spl0_82,
inference(rat,[],[s992,s996]) ).
cnf(s1645,plain,
spl0_12,
inference(rat,[],[s1583,s1644]) ).
cnf(s1646,plain,
spl0_13,
inference(rat,[],[s1637,s1645]) ).
cnf(s1660,plain,
$false,
inference(rat,[],[s451,s1646]) ).
fof(f1911,plain,
$false,
inference(avatar_sat_refutation,[],[s1660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN176-1 : 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 : n016.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 15:42:48 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 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
% 0.22/0.28 % (3717225)Will run a generic schedule for satisfiability detection.
% 0.22/0.28 % (3717232)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4255355840:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.28 % (3717231)% WARNING: option uhcvi not known.
% 0.22/0.28 % (3717233)dis+10_1_sil=32000:sp=arity:random_seed=3403618078:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.28 % (3717230)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1336346861_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.28 % (3717231)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4148461007:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.28 % (3717234)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3232980775:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.28 % (3717236)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2970101290:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.28 % (3717235)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=515945573:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.28 % (3717232) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3717225-3717232"...
% 0.22/0.28 % (3717232)...printing done.
% 0.22/0.28 % (3717232)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (3717232)------------------------------
% 0.22/0.28 % (3717232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (3717232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (3717232)CaDiCaL version: 2.1.3
% 0.22/0.28 % (3717232)Termination reason: Refutation
% 0.22/0.28 % (3717232)Time elapsed: 0.017 s
% 0.22/0.28 % (3717232)Peak memory usage: 13 MB
% 0.22/0.28 % (3717232)Instructions burned: 43 (million)
% 0.22/0.28 % (3717225)Success in time 0.05 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------