%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP025-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 10:16:24 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 133 ( 23 unt; 6 def)
% Number of atoms : 371 ( 51 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 499 ( 261 ~; 232 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X1,X2,X4)
| X4 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',total_function2) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X4)
| ~ product(X0,X1,X2,X3)
| X3 = X4 ),
inference(reorient_equations,[],[f9]) ).
fof(f17,axiom,
! [X0] :
( ~ group_member(X0,g1)
| X0 = a
| X0 = b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_only_members_of_group1) ).
fof(f18,plain,
! [X0] :
( ~ group_member(X0,g1)
| a = X0
| b = X0 ),
inference(reorient_equations,[],[f17]) ).
fof(f21,axiom,
product(g1,a,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_a_is_a) ).
fof(f22,axiom,
product(g1,a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_b) ).
fof(f23,axiom,
product(g1,b,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_is_b) ).
fof(f24,axiom,
product(g1,b,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_b_is_a) ).
fof(f25,axiom,
product(g2,c,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_c_is_c) ).
fof(f26,axiom,
product(g2,c,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_d_is_d) ).
fof(f27,axiom,
product(g2,d,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_times_c_is_d) ).
fof(f28,axiom,
product(g2,d,d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_times_d_is_c) ).
fof(f29,axiom,
an_isomorphism(a) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_maps_to_c) ).
fof(f30,plain,
c = an_isomorphism(a),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
an_isomorphism(b) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_maps_to_d) ).
fof(f32,plain,
d = an_isomorphism(b),
inference(reorient_equations,[],[f31]) ).
fof(f33,axiom,
group_member(d1,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_member_of_group1) ).
fof(f34,axiom,
group_member(d2,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_member_of_group1) ).
fof(f35,axiom,
group_member(d3,g1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_member_of_group1) ).
fof(f36,axiom,
product(g1,d1,d2,d3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_times_d2_is_d3) ).
fof(f37,negated_conjecture,
~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_holds_in_group2) ).
fof(f40,plain,
( a = d1
| b = d1 ),
inference(resolution,[],[f18,f33]) ).
fof(f41,plain,
( a = d2
| b = d2 ),
inference(resolution,[],[f18,f34]) ).
fof(f42,plain,
( a = d3
| b = d3 ),
inference(resolution,[],[f18,f35]) ).
fof(f55,definition,
( spl0_3
<=> b = d3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f56,plain,
( b != d3
| spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( b = d3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl0_4
<=> a = d3 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f61,plain,
( a = d3
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f42,f59,f55]) ).
fof(f64,definition,
( spl0_5
<=> b = d2 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f65,plain,
( b != d2
| spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( b = d2
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_6
<=> a = d2 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f69,plain,
( a != d2
| spl0_6 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f70,plain,
( a = d2
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f41,f68,f64]) ).
fof(f73,definition,
( spl0_7
<=> b = d1 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f75,plain,
( b = d1
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_8
<=> a = d1 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f79,plain,
( a = d1
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f40,f77,f73]) ).
fof(f83,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(b))
| ~ spl0_3 ),
inference(superposition,[],[f37,f57]) ).
fof(f84,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),d)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f83,f32]) ).
fof(f111,plain,
! [X0] :
( ~ product(g1,b,b,X0)
| a = X0 ),
inference(resolution,[],[f10,f24]) ).
fof(f112,plain,
! [X0] :
( ~ product(g1,d1,d2,X0)
| d3 = X0 ),
inference(resolution,[],[f10,f36]) ).
fof(f142,plain,
( product(g1,b,d2,d3)
| ~ spl0_7 ),
inference(superposition,[],[f36,f75]) ).
fof(f146,plain,
( product(g1,b,d2,b)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f142,f57]) ).
fof(f150,plain,
( product(g1,b,b,b)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f146,f66]) ).
fof(f200,plain,
( a = b
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f111,f150]) ).
fof(f208,plain,
( d = an_isomorphism(a)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f32,f200]) ).
fof(f213,plain,
( c = d
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f208,f30]) ).
fof(f222,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f84,f213]) ).
fof(f228,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f222,f66]) ).
fof(f230,plain,
( ~ product(g2,an_isomorphism(d1),d,c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f228,f32]) ).
fof(f232,plain,
( ~ product(g2,an_isomorphism(d1),c,c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f230,f213]) ).
fof(f235,plain,
( ~ product(g2,an_isomorphism(b),c,c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f232,f75]) ).
fof(f236,plain,
( ~ product(g2,d,c,c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f235,f32]) ).
fof(f237,plain,
( ~ product(g2,c,c,c)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f236,f213]) ).
fof(f238,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f237,f25]) ).
fof(f239,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f248,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(d3))
| ~ spl0_6 ),
inference(superposition,[],[f37,f70]) ).
fof(f249,plain,
( a != b
| spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f65,f70]) ).
fof(f254,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(b))
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f248,f57]) ).
fof(f259,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),d)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f254,f32]) ).
fof(f262,plain,
( ~ product(g2,an_isomorphism(d1),c,d)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f259,f30]) ).
fof(f265,plain,
( ~ product(g2,an_isomorphism(b),c,d)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f262,f75]) ).
fof(f266,plain,
( ~ product(g2,d,c,d)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f265,f32]) ).
fof(f267,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f266,f27]) ).
fof(f268,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f270,plain,
( ! [X0] :
( ~ product(g1,d1,a,X0)
| d3 = X0 )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f112,f70]) ).
fof(f274,plain,
( ! [X0] :
( b = X0
| ~ product(g1,d1,a,X0) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f270,f57]) ).
fof(f303,plain,
( ! [X0] :
( ~ product(g1,a,a,X0)
| b = X0 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f274,f79]) ).
fof(f304,plain,
( a = b
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f303,f21]) ).
fof(f308,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f304,f249]) ).
fof(f309,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f312,plain,
( a != b
| spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f56,f61]) ).
fof(f336,plain,
( ! [X0] :
( ~ product(g1,b,a,X0)
| d3 = X0 )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f270,f75]) ).
fof(f337,plain,
( ! [X0] :
( ~ product(g1,b,a,X0)
| a = X0 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f336,f61]) ).
fof(f338,plain,
( a = b
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f337,f23]) ).
fof(f341,plain,
( $false
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f338,f249]) ).
fof(f342,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f344,plain,
( a = b
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f66,f70]) ).
fof(f366,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f312,f344]) ).
fof(f367,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f380,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(d3))
| ~ spl0_5 ),
inference(superposition,[],[f37,f66]) ).
fof(f381,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(a))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f380,f61]) ).
fof(f383,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),c)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f381,f30]) ).
fof(f385,plain,
( ~ product(g2,an_isomorphism(d1),d,c)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f383,f32]) ).
fof(f386,plain,
( ~ product(g2,an_isomorphism(b),d,c)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f385,f75]) ).
fof(f387,plain,
( ~ product(g2,d,d,c)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f386,f32]) ).
fof(f388,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f387,f28]) ).
fof(f389,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f390,plain,
( ! [X0] :
( ~ product(g1,d1,b,X0)
| d3 = X0 )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f112,f66]) ).
fof(f395,plain,
( ! [X0] :
( a = X0
| ~ product(g1,d1,b,X0) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f390,f61]) ).
fof(f399,plain,
( a != b
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f69,f66]) ).
fof(f412,plain,
( ! [X0] :
( ~ product(g1,a,b,X0)
| a = X0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f395,f79]) ).
fof(f413,plain,
( a = b
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f412,f22]) ).
fof(f416,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f413,f399]) ).
fof(f417,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f429,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(d3))
| ~ spl0_6 ),
inference(superposition,[],[f37,f70]) ).
fof(f433,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(a))
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f429,f61]) ).
fof(f437,plain,
( ~ product(g2,an_isomorphism(d1),c,c)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f433,f30]) ).
fof(f439,plain,
( ~ product(g2,an_isomorphism(a),c,c)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f437,f79]) ).
fof(f440,plain,
( ~ product(g2,c,c,c)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f439,f30]) ).
fof(f441,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f440,f25]) ).
fof(f442,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f491,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(d3))
| ~ spl0_5 ),
inference(superposition,[],[f37,f66]) ).
fof(f492,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),an_isomorphism(b))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f491,f57]) ).
fof(f494,plain,
( ~ product(g2,an_isomorphism(d1),d,d)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f492,f32]) ).
fof(f496,plain,
( ~ product(g2,an_isomorphism(a),d,d)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f494,f79]) ).
fof(f497,plain,
( ~ product(g2,c,d,d)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f496,f30]) ).
fof(f498,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f497,f26]) ).
fof(f499,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f498]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f71]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f80]) ).
cnf(s8,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f239]) ).
cnf(s11,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f268]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f309]) ).
cnf(s13,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f342]) ).
cnf(s14,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f367]) ).
cnf(s15,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f389]) ).
cnf(s16,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f417]) ).
cnf(s18,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f442]) ).
cnf(s20,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f499]) ).
cnf(s21,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s4,s13,s18,s3]) ).
cnf(s22,plain,
spl0_3,
inference(rat,[],[s16,s4,s14,s15,s21,s2]) ).
cnf(s24,plain,
spl0_5,
inference(rat,[],[s4,s12,s11,s3,s22]) ).
cnf(s25,plain,
~ spl0_8,
inference(rat,[],[s20,s22,s24]) ).
cnf(s26,plain,
~ spl0_7,
inference(rat,[],[s8,s22,s24]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s4,s25,s26]) ).
fof(f500,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP025-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n006.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 09:13:56 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 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
% 0.17/0.51 % (2721730)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (2721735)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3669111350_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51 % TRYING [1]
% 0.17/0.51 % TRYING [2]
% 0.17/0.51 % TRYING [3]
% 0.17/0.51 % (2721739)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1482187681:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (2721736)% WARNING: option uhcvi not known.
% 0.17/0.51 % TRYING [4]
% 0.17/0.51 % (2721737)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1990668724:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51 % (2721736)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2473899967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51 % (2721738)dis+10_1_sil=32000:sp=arity:random_seed=3323959859:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % (2721742)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1957808573:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51 % (2721741)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1528131084:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51 % TRYING [5]
% 0.17/0.51 % (2721738) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2721730-2721738"...
% 0.17/0.51 % (2721738)...printing done.
% 0.17/0.51 % (2721738)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (2721738)------------------------------
% 0.17/0.52 % (2721738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (2721738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (2721738)CaDiCaL version: 2.1.3
% 0.17/0.52 % (2721738)Termination reason: Refutation
% 0.17/0.52 % (2721738)Time elapsed: 0.017 s
% 0.17/0.52 % (2721738)Peak memory usage: 12 MB
% 0.17/0.52 % (2721738)Instructions burned: 15 (million)
% 0.17/0.52 % (2721730)Success in time 0.061 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------