%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:51:10 AM UTC 2026
% Result : Unsatisfiable 3.93s 1.49s
% Output : Refutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 139 ( 15 unt; 10 def)
% Number of atoms : 324 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 326 ( 141 ~; 175 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X3,X2,X4)
| ~ between(X0,X1,X2)
| between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X3,X2,X4)
| ~ between(X0,X1,X2)
| between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X0,X2)
| between(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity3) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity4) ).
fof(f25,axiom,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
fof(f26,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
fof(f28,definition,
( spl0_1
<=> colinear(c,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f29,plain,
( colinear(c,b,a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f30,plain,
( ~ colinear(c,b,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f32,definition,
( spl0_2
<=> colinear(c,a,b) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f34,plain,
( ~ colinear(c,a,b)
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f36,definition,
( spl0_3
<=> colinear(b,c,a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f38,plain,
( ~ colinear(b,c,a)
| spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f40,definition,
( spl0_4
<=> colinear(b,a,c) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f42,plain,
( ~ colinear(b,a,c)
| spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f44,definition,
( spl0_5
<=> colinear(a,c,b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f47,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f26,f44,f40,f36,f32,f28]) ).
fof(f52,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f57,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f13,f52]) ).
fof(f517,plain,
( between(a,b,c)
| between(b,a,c)
| between(a,c,b) ),
inference(resolution,[],[f21,f25]) ).
fof(f525,definition,
( spl0_6
<=> between(a,c,b) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f527,plain,
( between(a,c,b)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f529,definition,
( spl0_7
<=> between(b,a,c) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f530,plain,
( ~ between(b,a,c)
| spl0_7 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( between(b,a,c)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl0_8
<=> between(a,b,c) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f535,plain,
( between(a,b,c)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f536,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f517,f533,f529,f525]) ).
fof(f539,plain,
( colinear(c,a,b)
| ~ spl0_6 ),
inference(resolution,[],[f527,f23]) ).
fof(f540,plain,
( colinear(a,c,b)
| ~ spl0_6 ),
inference(resolution,[],[f527,f22]) ).
fof(f541,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f540,f525,f44]) ).
fof(f542,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f539,f525,f32]) ).
fof(f544,plain,
( colinear(b,c,a)
| ~ spl0_7 ),
inference(resolution,[],[f531,f24]) ).
fof(f546,plain,
( colinear(b,a,c)
| ~ spl0_7 ),
inference(resolution,[],[f531,f22]) ).
fof(f547,plain,
( spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f546,f529,f40]) ).
fof(f548,plain,
( spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f544,f529,f36]) ).
fof(f550,plain,
( colinear(a,c,b)
| ~ spl0_8 ),
inference(resolution,[],[f535,f24]) ).
fof(f551,plain,
( colinear(b,a,c)
| ~ spl0_8 ),
inference(resolution,[],[f535,f23]) ).
fof(f553,plain,
( spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f551,f533,f40]) ).
fof(f554,plain,
( spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f550,f533,f44]) ).
fof(f588,plain,
( ! [X0,X1] :
( between(X0,outer_pasch(X1,X0,b,c,a),b)
| ~ between(X0,X1,a) )
| ~ spl0_7 ),
inference(resolution,[],[f7,f531]) ).
fof(f589,plain,
( ! [X0] :
( ~ between(b,X0,a)
| b = outer_pasch(X0,b,b,c,a) )
| ~ spl0_7 ),
inference(resolution,[],[f588,f1]) ).
fof(f595,plain,
( b = outer_pasch(a,b,b,c,a)
| ~ spl0_7 ),
inference(resolution,[],[f589,f57]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ between(X0,X1,a)
| between(c,X1,outer_pasch(X1,X0,b,c,a)) )
| ~ spl0_7 ),
inference(resolution,[],[f8,f531]) ).
fof(f636,plain,
( ! [X0] : between(c,a,outer_pasch(a,X0,b,c,a))
| ~ spl0_7 ),
inference(resolution,[],[f635,f57]) ).
fof(f645,plain,
( between(c,a,b)
| ~ spl0_7 ),
inference(superposition,[],[f636,f595]) ).
fof(f649,plain,
( colinear(c,a,b)
| ~ spl0_7 ),
inference(resolution,[],[f645,f22]) ).
fof(f650,plain,
( colinear(a,c,b)
| ~ spl0_7 ),
inference(resolution,[],[f645,f23]) ).
fof(f651,plain,
( colinear(c,b,a)
| ~ spl0_7 ),
inference(resolution,[],[f645,f24]) ).
fof(f653,plain,
( $false
| spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f651,f30]) ).
fof(f654,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f655,plain,
( spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f650,f529,f44]) ).
fof(f656,plain,
( spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f649,f529,f32]) ).
fof(f660,definition,
( spl0_9
<=> between(c,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f661,plain,
( ~ between(c,b,a)
| spl0_9 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f662,plain,
( between(c,b,a)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f664,definition,
( spl0_10
<=> between(b,c,a) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f665,plain,
( ~ between(b,c,a)
| spl0_10 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f666,plain,
( between(b,c,a)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f675,plain,
( colinear(b,c,a)
| ~ spl0_10 ),
inference(resolution,[],[f666,f22]) ).
fof(f676,plain,
( colinear(c,b,a)
| ~ spl0_10 ),
inference(resolution,[],[f666,f23]) ).
fof(f677,plain,
( colinear(b,a,c)
| ~ spl0_10 ),
inference(resolution,[],[f666,f24]) ).
fof(f679,plain,
( $false
| spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f676,f30]) ).
fof(f680,plain,
( spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f682,plain,
( ! [X0,X1] :
( between(X0,outer_pasch(X1,X0,a,b,c),a)
| ~ between(X0,X1,c) )
| ~ spl0_6 ),
inference(resolution,[],[f527,f7]) ).
fof(f683,plain,
( ! [X0,X1] :
( ~ between(X0,X1,c)
| between(b,X1,outer_pasch(X1,X0,a,b,c)) )
| ~ spl0_6 ),
inference(resolution,[],[f527,f8]) ).
fof(f692,plain,
( ! [X0] :
( ~ between(a,X0,c)
| a = outer_pasch(X0,a,a,b,c) )
| ~ spl0_6 ),
inference(resolution,[],[f682,f1]) ).
fof(f700,plain,
( a = outer_pasch(c,a,a,b,c)
| ~ spl0_6 ),
inference(resolution,[],[f692,f57]) ).
fof(f703,plain,
( ! [X0] : between(b,c,outer_pasch(c,X0,a,b,c))
| ~ spl0_6 ),
inference(resolution,[],[f683,f57]) ).
fof(f712,plain,
( between(b,c,a)
| ~ spl0_6 ),
inference(superposition,[],[f703,f700]) ).
fof(f713,plain,
( $false
| ~ spl0_6
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f712,f665]) ).
fof(f714,plain,
( ~ spl0_6
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f715,plain,
( $false
| spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f677,f42]) ).
fof(f716,plain,
( spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f717,plain,
( $false
| spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f675,f38]) ).
fof(f718,plain,
( spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f723,plain,
( colinear(c,b,a)
| ~ spl0_9 ),
inference(resolution,[],[f662,f22]) ).
fof(f724,plain,
( colinear(b,c,a)
| ~ spl0_9 ),
inference(resolution,[],[f662,f23]) ).
fof(f725,plain,
( colinear(c,a,b)
| ~ spl0_9 ),
inference(resolution,[],[f662,f24]) ).
fof(f727,plain,
( spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f724,f660,f36]) ).
fof(f728,plain,
( $false
| spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f723,f30]) ).
fof(f729,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f730,plain,
( $false
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f725,f34]) ).
fof(f731,plain,
( spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f732,plain,
( between(c,b,a)
| between(b,c,a)
| between(c,a,b)
| ~ spl0_1 ),
inference(resolution,[],[f29,f21]) ).
fof(f733,plain,
( between(b,c,a)
| between(c,a,b)
| ~ spl0_1
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f732,f661]) ).
fof(f734,plain,
( between(c,a,b)
| ~ spl0_1
| spl0_9
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f733,f665]) ).
fof(f736,plain,
( ! [X0,X1] :
( between(X0,outer_pasch(X1,X0,c,b,a),c)
| ~ between(X0,X1,a) )
| ~ spl0_1
| spl0_9
| spl0_10 ),
inference(resolution,[],[f734,f7]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ between(X0,X1,a)
| between(b,X1,outer_pasch(X1,X0,c,b,a)) )
| ~ spl0_1
| spl0_9
| spl0_10 ),
inference(resolution,[],[f734,f8]) ).
fof(f749,plain,
( ! [X0] :
( ~ between(c,X0,a)
| c = outer_pasch(X0,c,c,b,a) )
| ~ spl0_1
| spl0_9
| spl0_10 ),
inference(resolution,[],[f736,f1]) ).
fof(f757,plain,
( c = outer_pasch(a,c,c,b,a)
| ~ spl0_1
| spl0_9
| spl0_10 ),
inference(resolution,[],[f749,f57]) ).
fof(f760,plain,
( ! [X0] : between(b,a,outer_pasch(a,X0,c,b,a))
| ~ spl0_1
| spl0_9
| spl0_10 ),
inference(resolution,[],[f737,f57]) ).
fof(f769,plain,
( between(b,a,c)
| ~ spl0_1
| spl0_9
| spl0_10 ),
inference(superposition,[],[f760,f757]) ).
fof(f770,plain,
( $false
| ~ spl0_1
| spl0_7
| spl0_9
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f769,f530]) ).
fof(f771,plain,
( ~ spl0_1
| spl0_7
| spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f838,plain,
( ! [X0,X1] :
( between(X0,outer_pasch(X1,X0,a,c,b),a)
| ~ between(X0,X1,b) )
| ~ spl0_8 ),
inference(resolution,[],[f535,f7]) ).
fof(f839,plain,
( ! [X0,X1] :
( ~ between(X0,X1,b)
| between(c,X1,outer_pasch(X1,X0,a,c,b)) )
| ~ spl0_8 ),
inference(resolution,[],[f535,f8]) ).
fof(f860,plain,
( ! [X0] :
( ~ between(a,X0,b)
| a = outer_pasch(X0,a,a,c,b) )
| ~ spl0_8 ),
inference(resolution,[],[f838,f1]) ).
fof(f869,plain,
( a = outer_pasch(b,a,a,c,b)
| ~ spl0_8 ),
inference(resolution,[],[f860,f57]) ).
fof(f872,plain,
( ! [X0] : between(c,b,outer_pasch(b,X0,a,c,b))
| ~ spl0_8 ),
inference(resolution,[],[f839,f57]) ).
fof(f882,plain,
( between(c,b,a)
| ~ spl0_8 ),
inference(superposition,[],[f872,f869]) ).
fof(f883,plain,
( $false
| ~ spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f882,f661]) ).
fof(f884,plain,
( ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f883]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f47]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f536]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f541]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f542]) ).
cnf(s5,plain,
( spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f547]) ).
cnf(s6,plain,
( spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f548]) ).
cnf(s7,plain,
( spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f553]) ).
cnf(s8,plain,
( spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f554]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f654]) ).
cnf(s10,plain,
( spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f655]) ).
cnf(s11,plain,
( spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f656]) ).
cnf(s14,plain,
( spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f680]) ).
cnf(s15,plain,
( ~ spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f714]) ).
cnf(s16,plain,
( spl0_4
| ~ spl0_10 ),
inference(sat_conversion,[],[f716]) ).
cnf(s17,plain,
( spl0_3
| ~ spl0_10 ),
inference(sat_conversion,[],[f718]) ).
cnf(s18,plain,
( spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f727]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f729]) ).
cnf(s20,plain,
( spl0_2
| ~ spl0_9 ),
inference(sat_conversion,[],[f731]) ).
cnf(s22,plain,
( ~ spl0_1
| spl0_7
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f771]) ).
cnf(s28,plain,
( ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f884]) ).
cnf(s30,plain,
spl0_1,
inference(rat,[],[s2,s15,s28,s9,s14,s19]) ).
cnf(s31,plain,
spl0_2,
inference(rat,[],[s2,s28,s4,s11,s20]) ).
cnf(s32,plain,
spl0_3,
inference(rat,[],[s22,s6,s17,s18,s30]) ).
cnf(s33,plain,
spl0_4,
inference(rat,[],[s2,s15,s5,s7,s16]) ).
cnf(s34,plain,
~ spl0_5,
inference(rat,[],[s1,s32,s31,s30,s33]) ).
cnf(s35,plain,
~ spl0_7,
inference(rat,[],[s10,s34]) ).
cnf(s36,plain,
~ spl0_8,
inference(rat,[],[s8,s34]) ).
cnf(s37,plain,
~ spl0_6,
inference(rat,[],[s3,s34]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s2,s36,s35,s37]) ).
fof(f889,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:33:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.93/1.49 % (1286705)Input is clausal, will run a generic CNF schedule.
% 3.93/1.49 % (1286791)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1485796151:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.93/1.49 % (1286791)Instruction limit reached!
% 3.93/1.49 % (1286791)------------------------------
% 3.93/1.49 % (1286791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (1286791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (1286791)CaDiCaL version: 2.1.3
% 3.93/1.49 % (1286791)Termination reason: Instruction limit
% 3.93/1.49 % (1286791)Termination phase: Saturation
% 3.93/1.49 % (1286791)Time elapsed: 0.024 s
% 3.93/1.49 % (1286791)Peak memory usage: 87 MB
% 3.93/1.49 % (1286791)Instructions burned: 116 (million)
% 3.93/1.49 % (1286790)lrs+10_1_sil=8000:sp=occurrence:random_seed=735559264:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.93/1.49 % (1286793)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4044461452:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.93/1.49 % (1286790)Refutation not found, incomplete strategy
% 3.93/1.49 % (1286790)------------------------------
% 3.93/1.49 % (1286790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (1286790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (1286790)CaDiCaL version: 2.1.3
% 3.93/1.49 % (1286790)Termination reason: Refutation not found, incomplete strategy
% 3.93/1.49 % (1286790)Time elapsed: 0.002 s
% 3.93/1.49 % (1286790)Peak memory usage: 88 MB
% 3.93/1.49 % (1286790)Instructions burned: 1 (million)
% 3.93/1.49 % (1286786)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=416844819:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.93/1.49 % (1286788)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=282132317:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.93/1.49 % (1286787)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2846117433:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.93/1.49 % (1286794)dis-21_1_sil=8000:lcm=predicate:random_seed=3274320295:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.93/1.49 % (1286815)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3318548711:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.93/1.49 % (1286815)Refutation not found, incomplete strategy
% 3.93/1.49 % (1286815)------------------------------
% 3.93/1.49 % (1286815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (1286815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (1286815)CaDiCaL version: 2.1.3
% 3.93/1.49 % (1286815)Termination reason: Refutation not found, incomplete strategy
% 3.93/1.49 % (1286815)Time elapsed: 0.001 s
% 3.93/1.49 % (1286815)Peak memory usage: 88 MB
% 3.93/1.49 % (1286794)Instruction limit reached!
% 3.93/1.49 % (1286794)------------------------------
% 3.93/1.49 % (1286794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (1286794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (1286794)CaDiCaL version: 2.1.3
% 3.93/1.49 % (1286794)Termination reason: Instruction limit
% 3.93/1.49 % (1286794)Termination phase: Saturation
% 3.93/1.49 % (1286794)Time elapsed: 0.067 s
% 3.93/1.49 % (1286794)Peak memory usage: 88 MB
% 3.93/1.49 % (1286794)Instructions burned: 118 (million)
% 3.93/1.49 % (1286793)Instruction limit reached!
% 3.93/1.49 % (1286793)------------------------------
% 3.93/1.49 % (1286793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (1286793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (1286793)CaDiCaL version: 2.1.3
% 3.93/1.49 % (1286793)Termination reason: Instruction limit
% 3.93/1.49 % (1286793)Termination phase: Saturation
% 3.93/1.49 % (1286793)Time elapsed: 0.118 s
% 3.93/1.49 % (1286793)Peak memory usage: 90 MB
% 3.93/1.49 % (1286793)Instructions burned: 181 (million)
% 3.93/1.49 % (1286831)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=35383199:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.93/1.49 % (1286815)------------------------------
% 3.93/1.49 % (1286815)------------------------------
% 3.93/1.49 % (1286832)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1287213387:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.93/1.49 % (1286790)------------------------------
% 3.93/1.49 % (1286790)------------------------------
% 3.93/1.49 % (1286834)lrs+10_64_to=lpo:sil=8000:random_seed=4220331411:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.93/1.49 % (1286834)First to succeed.
% 3.93/1.49 % (1286831)Instruction limit reached!
% 3.93/1.49 % (1286831)------------------------------
% 3.93/1.49 % (1286831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (1286831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (1286831)CaDiCaL version: 2.1.3
% 3.93/1.49 % (1286831)Termination reason: Instruction limit
% 3.93/1.49 % (1286831)Termination phase: Saturation
% 3.93/1.49 % (1286831)Time elapsed: 0.107 s
% 3.93/1.49 % (1286831)Peak memory usage: 89 MB
% 3.93/1.49 % (1286831)Instructions burned: 189 (million)
% 3.93/1.49 % (1286834)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1286705"
% 3.93/1.49 % (1286832)Instruction limit reached!
% 3.93/1.49 % (1286832)------------------------------
% 3.93/1.49 % (1286832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.93/1.49 % (1286832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/1.49 % (1286832)CaDiCaL version: 2.1.3
% 3.93/1.49 % (1286832)Termination reason: Instruction limit
% 3.93/1.49 % (1286832)Termination phase: Saturation
% 3.93/1.49 % (1286832)Time elapsed: 0.134 s
% 3.93/1.49 % (1286832)Peak memory usage: 89 MB
% 3.93/1.49 % (1286832)Instructions burned: 220 (million)
% 3.93/1.49 % (1286836)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1413549132:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 3.93/1.49 % (1286847)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=865370197:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.93/1.49 % (1286834)Refutation found. Thanks to Tanya!
% 3.93/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.93/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 5.10/1.68 % (1286834)------------------------------
% 5.10/1.68 % (1286834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.68 % (1286834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.68 % (1286834)CaDiCaL version: 2.1.3
% 5.10/1.68 % (1286834)Termination reason: Refutation
% 5.10/1.68 % (1286834)Time elapsed: 0.015 s
% 5.10/1.68 % (1286834)Peak memory usage: 89 MB
% 5.10/1.68 % (1286834)Instructions burned: 38 (million)
% 5.10/1.68 % (1286834)------------------------------
% 5.10/1.68 % (1286834)------------------------------
% 5.10/1.68 % (1286705)Success in time 0.632 s
% 5.10/1.68 % Vampire exiting
%------------------------------------------------------------------------------