%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:36:51 AM UTC 2026
% Result : Unsatisfiable 1.08s 0.41s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of formulae : 121 ( 38 unt; 5 def)
% Number of atoms : 253 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 250 ( 118 ~; 127 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X5)
| ~ product(X2,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom2) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ defined(X3,X2)
| ~ product(X0,X1,X2)
| defined(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X0,X5)
| ~ product(X3,X2,X4)
| ~ product(X0,X1,X2)
| product(X5,X1,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom5) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ defined(X0,X1)
| ~ defined(X1,X2)
| ~ identity_map(X1)
| defined(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
fof(f16,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f17,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ product(X2,c,X1)
| ~ product(X0,c,X1)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product) ).
fof(f21,axiom,
product(h,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_equals_d) ).
fof(f22,axiom,
product(g,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ga_equals_d) ).
fof(f23,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ defined(X1,X2)
| ~ defined(X0,X1)
| identity_map(X1)
| defined(X0,X2) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f25,plain,
! [X0] : ~ identity_map(domain(X0)),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f26,plain,
! [X0] : ~ identity_map(codomain(X0)),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f27,plain,
! [X0,X1] :
( product(X0,X1,X1)
| identity_map(X0)
| ~ defined(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f28,plain,
! [X0,X1] :
( product(X0,X1,X0)
| identity_map(X1)
| ~ defined(X0,X1) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f31,plain,
defined(a,b),
inference(resolution,[],[f2,f19]) ).
fof(f32,plain,
defined(h,a),
inference(resolution,[],[f2,f21]) ).
fof(f33,plain,
defined(g,a),
inference(resolution,[],[f2,f22]) ).
fof(f37,plain,
! [X0,X1] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(resolution,[],[f3,f14]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ defined(compose(X0,X1),X2)
| defined(X1,X2)
| ~ defined(X0,X1) ),
inference(resolution,[],[f3,f1]) ).
fof(f42,plain,
! [X0] :
( defined(b,X0)
| ~ defined(c,X0) ),
inference(resolution,[],[f3,f19]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,domain(X2))
| defined(X2,X0) ),
inference(resolution,[],[f6,f12]) ).
fof(f50,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| defined(h,X0) ),
inference(resolution,[],[f6,f32]) ).
fof(f51,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| defined(g,X0) ),
inference(resolution,[],[f6,f33]) ).
fof(f52,plain,
! [X0,X1] :
( ~ product(X0,c,compose(X1,c))
| X0 = X1
| ~ defined(X1,c) ),
inference(resolution,[],[f20,f1]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X0 = X2
| identity_map(X1)
| ~ defined(X0,X1) ),
inference(resolution,[],[f18,f28]) ).
fof(f70,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[],[f18,f19]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X0 = X2
| identity_map(X1) ),
inference(forward_subsumption_resolution,[],[f68,f2]) ).
fof(f77,plain,
( c = compose(a,b)
| ~ defined(a,b) ),
inference(resolution,[],[f70,f1]) ).
fof(f82,plain,
c = compose(a,b),
inference(forward_subsumption_resolution,[],[f77,f31]) ).
fof(f102,plain,
! [X0,X1] :
( ~ defined(X0,codomain(X1))
| identity_map(codomain(X1))
| defined(X0,X1) ),
inference(resolution,[],[f24,f13]) ).
fof(f136,plain,
! [X0,X1] :
( ~ defined(X0,codomain(X1))
| defined(X0,X1) ),
inference(forward_subsumption_resolution,[],[f102,f26]) ).
fof(f152,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X4,X0)
| ~ product(X0,X1,X2)
| product(X3,compose(X4,X1),X2)
| ~ defined(X4,X1) ),
inference(resolution,[],[f5,f1]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ product(X0,b,X1)
| ~ product(X2,a,X0)
| product(X2,c,X1) ),
inference(resolution,[],[f5,f19]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X4,X1)
| ~ product(X0,X1,X2)
| product(compose(X0,X3),X4,X2)
| ~ defined(X0,X3) ),
inference(resolution,[],[f8,f1]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ product(h,X0,X1)
| ~ product(a,X2,X0)
| product(d,X2,X1) ),
inference(resolution,[],[f8,f21]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ defined(X0,X1)
| ~ defined(X2,domain(X0))
| identity_map(domain(X0))
| defined(X2,X1) ),
inference(resolution,[],[f37,f24]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ defined(X2,domain(X0))
| ~ defined(X0,X1)
| defined(X2,X1) ),
inference(forward_subsumption_resolution,[],[f180,f25]) ).
fof(f185,plain,
! [X0] :
( ~ defined(c,codomain(X0))
| defined(b,X0) ),
inference(resolution,[],[f136,f42]) ).
fof(f201,plain,
! [X0] : defined(X0,codomain(domain(X0))),
inference(resolution,[],[f46,f15]) ).
fof(f223,plain,
! [X0,X1] :
( ~ defined(X0,X1)
| identity_map(X1)
| compose(X0,X1) = X0 ),
inference(resolution,[],[f73,f1]) ).
fof(f224,plain,
! [X0,X1] :
( ~ defined(X0,X1)
| identity_map(X1)
| identity_map(X0)
| X0 = X1 ),
inference(resolution,[],[f73,f27]) ).
fof(f266,plain,
! [X0,X1] :
( defined(X0,domain(compose(X1,X0)))
| ~ defined(X1,X0) ),
inference(resolution,[],[f38,f12]) ).
fof(f302,plain,
! [X0,X1] :
( ~ product(X0,a,X1)
| product(X0,c,compose(X1,b))
| ~ defined(X1,b) ),
inference(resolution,[],[f156,f1]) ).
fof(f336,plain,
! [X0] :
( ~ product(a,X0,a)
| product(d,X0,d) ),
inference(resolution,[],[f165,f21]) ).
fof(f338,plain,
! [X0,X1] :
( ~ product(a,X0,X1)
| product(d,X0,compose(h,X1))
| ~ defined(h,X1) ),
inference(resolution,[],[f165,f1]) ).
fof(f412,plain,
! [X0,X1] :
( ~ product(c,X0,X1)
| product(a,compose(b,X0),X1)
| ~ defined(b,X0) ),
inference(resolution,[],[f152,f19]) ).
fof(f414,plain,
! [X0,X1] :
( ~ product(d,X0,X1)
| product(g,compose(a,X0),X1)
| ~ defined(a,X0) ),
inference(resolution,[],[f152,f22]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(compose(X0,codomain(X1)),X1,X2)
| ~ defined(X0,codomain(X1)) ),
inference(resolution,[],[f160,f15]) ).
fof(f563,plain,
defined(h,codomain(a)),
inference(resolution,[],[f50,f15]) ).
fof(f575,plain,
defined(g,codomain(a)),
inference(resolution,[],[f51,f15]) ).
fof(f576,plain,
defined(b,domain(c)),
inference(resolution,[],[f185,f201]) ).
fof(f582,plain,
product(d,domain(a),d),
inference(resolution,[],[f336,f14]) ).
fof(f669,plain,
defined(d,domain(a)),
inference(resolution,[],[f582,f2]) ).
fof(f879,plain,
! [X0] :
( ~ defined(a,X0)
| defined(d,X0) ),
inference(resolution,[],[f182,f669]) ).
fof(f913,plain,
( identity_map(domain(c))
| b = compose(b,domain(c)) ),
inference(resolution,[],[f223,f576]) ).
fof(f915,plain,
( identity_map(codomain(a))
| h = compose(h,codomain(a)) ),
inference(resolution,[],[f223,f563]) ).
fof(f918,plain,
( identity_map(codomain(a))
| g = compose(g,codomain(a)) ),
inference(resolution,[],[f223,f575]) ).
fof(f920,plain,
g = compose(g,codomain(a)),
inference(forward_subsumption_resolution,[],[f918,f26]) ).
fof(f922,plain,
h = compose(h,codomain(a)),
inference(forward_subsumption_resolution,[],[f915,f26]) ).
fof(f923,plain,
b = compose(b,domain(c)),
inference(forward_subsumption_resolution,[],[f913,f25]) ).
fof(f1807,definition,
( spl0_29
<=> defined(d,b) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1816,definition,
( spl0_31
<=> product(h,c,compose(d,b)) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f1818,plain,
( product(h,c,compose(d,b))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f1872,definition,
( spl0_32
<=> defined(h,c) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f1873,plain,
( defined(h,c)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f1876,definition,
( spl0_33
<=> product(d,b,compose(h,c)) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f1878,plain,
( product(d,b,compose(h,c))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f1917,plain,
( product(a,compose(b,domain(c)),c)
| ~ defined(b,domain(c)) ),
inference(resolution,[],[f412,f14]) ).
fof(f1923,plain,
product(a,compose(b,domain(c)),c),
inference(forward_subsumption_resolution,[],[f1917,f576]) ).
fof(f2769,plain,
( product(compose(h,codomain(a)),a,d)
| ~ defined(h,codomain(a)) ),
inference(resolution,[],[f450,f21]) ).
fof(f2774,plain,
product(compose(h,codomain(a)),a,d),
inference(forward_subsumption_resolution,[],[f2769,f563]) ).
fof(f2843,plain,
( defined(codomain(a),domain(g))
| ~ defined(g,codomain(a)) ),
inference(superposition,[],[f266,f920]) ).
fof(f2849,plain,
defined(codomain(a),domain(g)),
inference(forward_subsumption_resolution,[],[f2843,f575]) ).
fof(f2941,definition,
( spl0_44
<=> defined(codomain(a),domain(g)) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f2942,plain,
( defined(codomain(a),domain(g))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f2941]) ).
fof(f2956,plain,
spl0_44,
inference(avatar_split_clause,[],[f2849,f2941]) ).
fof(f3002,plain,
( identity_map(domain(g))
| identity_map(codomain(a))
| domain(g) = codomain(a)
| ~ spl0_44 ),
inference(resolution,[],[f2942,f224]) ).
fof(f3009,plain,
( identity_map(codomain(a))
| domain(g) = codomain(a)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f3002,f25]) ).
fof(f3014,plain,
( domain(g) = codomain(a)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f3009,f26]) ).
fof(f3658,plain,
( h = compose(h,domain(g))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f922,f3014]) ).
fof(f3663,plain,
( product(d,compose(b,domain(c)),compose(h,c))
| ~ defined(h,c) ),
inference(resolution,[],[f1923,f338]) ).
fof(f3776,plain,
( product(compose(h,domain(g)),a,d)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2774,f3014]) ).
fof(f3963,plain,
( product(compose(h,domain(g)),c,compose(d,b))
| ~ defined(d,b)
| ~ spl0_44 ),
inference(resolution,[],[f3776,f302]) ).
fof(f7318,plain,
defined(d,b),
inference(resolution,[],[f879,f31]) ).
fof(f7337,plain,
( product(h,c,compose(d,b))
| ~ defined(d,b)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f3963,f3658]) ).
fof(f7338,plain,
spl0_29,
inference(avatar_split_clause,[],[f7318,f1807]) ).
fof(f7339,plain,
( ~ spl0_29
| spl0_31
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7337,f2941,f1816,f1807]) ).
fof(f7489,plain,
( defined(h,c)
| ~ spl0_31 ),
inference(resolution,[],[f1818,f2]) ).
fof(f7565,plain,
( product(d,b,compose(h,c))
| ~ defined(h,c) ),
inference(forward_demodulation,[],[f3663,f923]) ).
fof(f7566,plain,
( spl0_32
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f7489,f1816,f1872]) ).
fof(f7567,plain,
( ~ spl0_32
| spl0_33 ),
inference(avatar_split_clause,[],[f7565,f1876,f1872]) ).
fof(f7589,plain,
( product(g,compose(a,b),compose(h,c))
| ~ defined(a,b)
| ~ spl0_33 ),
inference(resolution,[],[f1878,f414]) ).
fof(f7653,plain,
( product(g,compose(a,b),compose(h,c))
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f7589,f31]) ).
fof(f7660,plain,
( product(g,c,compose(h,c))
| ~ spl0_33 ),
inference(forward_demodulation,[],[f7653,f82]) ).
fof(f8968,plain,
( h = g
| ~ defined(h,c)
| ~ spl0_33 ),
inference(resolution,[],[f7660,f52]) ).
fof(f9030,plain,
( ~ defined(h,c)
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f8968,f23]) ).
fof(f9034,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f9030,f1873]) ).
fof(f9035,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f9034]) ).
cnf(s31,plain,
spl0_44,
inference(sat_conversion,[],[f2956]) ).
cnf(s76,plain,
spl0_29,
inference(sat_conversion,[],[f7338]) ).
cnf(s79,plain,
( ~ spl0_29
| spl0_31
| ~ spl0_44 ),
inference(sat_conversion,[],[f7339]) ).
cnf(s95,plain,
( ~ spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f7566]) ).
cnf(s96,plain,
( ~ spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f7567]) ).
cnf(s120,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(sat_conversion,[],[f9035]) ).
cnf(s123,plain,
spl0_31,
inference(rat,[],[s79,s76,s31]) ).
cnf(s124,plain,
spl0_32,
inference(rat,[],[s95,s123]) ).
cnf(s125,plain,
~ spl0_33,
inference(rat,[],[s120,s124]) ).
cnf(s126,plain,
$false,
inference(rat,[],[s96,s125,s124]) ).
fof(f9041,plain,
$false,
inference(avatar_sat_refutation,[],[s126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n008.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 21:13:40 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
% 1.08/0.41 % (2659160)Will run a generic schedule for satisfiability detection.
% 1.08/0.41 % (2659165)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3108375483_2999 on theBenchmark for (2999ds/0Mi)
% 1.08/0.41 % TRYING [1]
% 1.08/0.41 % TRYING [2]
% 1.08/0.41 % TRYING [3]
% 1.08/0.41 % TRYING [4]
% 1.08/0.41 % (2659166)% WARNING: option uhcvi not known.
% 1.08/0.41 % (2659168)dis+10_1_sil=32000:sp=arity:random_seed=1500772577:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.08/0.41 % (2659167)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=318671141:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.08/0.41 % (2659169)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2314761305:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.08/0.41 % (2659170)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1688032965:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.08/0.41 % (2659171)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3678148799:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.08/0.41 % (2659166)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1921531283:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.08/0.41 % TRYING [5]
% 1.08/0.41 % TRYING [6]
% 1.08/0.41 % (2659168)Instruction limit reached!
% 1.08/0.41 % (2659168)------------------------------
% 1.08/0.41 % (2659168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.41 % (2659168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.41 % (2659168)CaDiCaL version: 2.1.3
% 1.08/0.41 % (2659168)Termination reason: Instruction limit
% 1.08/0.41 % (2659168)Termination phase: Saturation
% 1.08/0.41 % (2659168)Time elapsed: 0.067 s
% 1.08/0.41 % (2659168)Peak memory usage: 12 MB
% 1.08/0.41 % (2659168)Instructions burned: 104 (million)
% 1.08/0.41 % (2659169)Instruction limit reached!
% 1.08/0.41 % (2659169)------------------------------
% 1.08/0.41 % (2659169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.41 % (2659169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.41 % (2659169)CaDiCaL version: 2.1.3
% 1.08/0.41 % (2659169)Termination reason: Instruction limit
% 1.08/0.41 % (2659169)Termination phase: Saturation
% 1.08/0.41 % (2659169)Time elapsed: 0.068 s
% 1.08/0.41 % (2659169)Peak memory usage: 12 MB
% 1.08/0.41 % (2659169)Instructions burned: 116 (million)
% 1.08/0.41 % (2659170)Instruction limit reached!
% 1.08/0.41 % (2659170)------------------------------
% 1.08/0.41 % (2659170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.41 % (2659170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.41 % (2659170)CaDiCaL version: 2.1.3
% 1.08/0.41 % (2659170)Termination reason: Instruction limit
% 1.08/0.41 % (2659170)Termination phase: Saturation
% 1.08/0.41 % (2659170)Time elapsed: 0.082 s
% 1.08/0.41 % (2659170)Peak memory usage: 12 MB
% 1.08/0.41 % (2659170)Instructions burned: 131 (million)
% 1.08/0.41 % (2659214)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1532001159:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.08/0.41 % TRYING [1]
% 1.08/0.41 % (2659216)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1055929770:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.08/0.41 % TRYING [2]
% 1.08/0.41 % TRYING [3]
% 1.08/0.41 % TRYING [4]
% 1.08/0.41 % (2659223)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2231208852:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.08/0.41 % (2659171)Instruction limit reached!
% 1.08/0.41 % (2659171)------------------------------
% 1.08/0.41 % (2659171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.41 % (2659171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.41 % (2659171)CaDiCaL version: 2.1.3
% 1.08/0.41 % (2659171)Termination reason: Instruction limit
% 1.08/0.41 % (2659171)Termination phase: Saturation
% 1.08/0.41 % (2659171)Time elapsed: 0.102 s
% 1.08/0.41 % (2659171)Peak memory usage: 12 MB
% 1.08/0.41 % (2659171)Instructions burned: 159 (million)
% 1.08/0.41 % TRYING [5]
% 1.08/0.41 % TRYING [7]
% 1.08/0.41 % (2659232)ott-21_1_sil=16000:fs=off:random_seed=855627750:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.08/0.41 % (2659166) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2659160-2659166"...
% 1.08/0.41 % (2659166)...printing done.
% 1.08/0.41 % (2659166)Refutation found. Thanks to Tanya!
% 1.08/0.41 % SZS status Unsatisfiable for theBenchmark
% 1.08/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 1.08/0.41 % (2659166)------------------------------
% 1.08/0.41 % (2659166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.41 % (2659166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.41 % (2659166)CaDiCaL version: 2.1.3
% 1.08/0.41 % (2659166)Termination reason: Refutation
% 1.08/0.41 % (2659166)Time elapsed: 0.161 s
% 1.08/0.41 % (2659166)Peak memory usage: 14 MB
% 1.08/0.41 % (2659166)Instructions burned: 239 (million)
% 1.08/0.41 % (2659160)Success in time 0.187 s
% 1.08/0.41 % Vampire exiting
%------------------------------------------------------------------------------