%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP039-4 : 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 : n012.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 10:16:28 AM UTC 2026
% Result : Unsatisfiable 0.54s 0.47s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 22
% Syntax : Number of formulae : 108 ( 36 unt; 6 def)
% Number of atoms : 222 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 198 ( 84 ~; 108 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function1) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity2) ).
fof(f9,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-1.ax',closure_of_inverse) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-1.ax',closure_of_product) ).
fof(f12,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f13,axiom,
! [X0,X1] :
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
fof(f14,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f15,negated_conjecture,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f16,negated_conjecture,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f17,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f6,f5]) ).
fof(f31,plain,
! [X0] : multiply(X0,identity) = X0,
inference(resolution,[],[f19,f5]) ).
fof(f71,plain,
! [X0,X1] :
( subgroup_member(multiply(X1,X0))
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f10,f5]) ).
fof(f81,definition,
( spl0_2
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f82,plain,
( subgroup_member(c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( ~ subgroup_member(c)
| spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,inverse(X1))
| ~ product(X0,X1,X2)
| product(X3,X2,identity) ),
inference(resolution,[],[f7,f3]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ product(X0,b,X1)
| ~ product(X0,c,X2)
| product(X1,inverse(a),X2) ),
inference(resolution,[],[f8,f15]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ product(X0,d,X2)
| ~ product(X0,a,X1)
| product(X1,c,X2) ),
inference(resolution,[],[f8,f16]) ).
fof(f237,plain,
! [X0] :
( ~ product(inverse(d),a,X0)
| product(X0,c,identity) ),
inference(resolution,[],[f145,f3]) ).
fof(f238,plain,
! [X0,X1] :
( product(X1,c,multiply(X0,d))
| ~ product(X0,a,X1) ),
inference(resolution,[],[f145,f5]) ).
fof(f242,plain,
product(multiply(inverse(d),a),c,identity),
inference(resolution,[],[f237,f5]) ).
fof(f253,plain,
! [X0,X1] :
( ~ product(X0,a,X1)
| multiply(X0,d) = multiply(X1,c) ),
inference(resolution,[],[f238,f20]) ).
fof(f462,plain,
! [X0] : multiply(X0,d) = multiply(multiply(X0,a),c),
inference(resolution,[],[f253,f5]) ).
fof(f470,plain,
! [X0] : product(multiply(X0,a),c,multiply(X0,d)),
inference(superposition,[],[f5,f462]) ).
fof(f476,plain,
! [X0] :
( ~ subgroup_member(c)
| ~ subgroup_member(multiply(X0,a))
| subgroup_member(multiply(X0,d)) ),
inference(resolution,[],[f470,f10]) ).
fof(f547,plain,
! [X0] :
( ~ product(inverse(b),c,X0)
| product(identity,inverse(a),X0) ),
inference(resolution,[],[f144,f3]) ).
fof(f554,plain,
product(identity,inverse(a),multiply(inverse(b),c)),
inference(resolution,[],[f547,f5]) ).
fof(f555,plain,
inverse(a) = multiply(inverse(b),c),
inference(resolution,[],[f554,f18]) ).
fof(f565,plain,
product(inverse(b),c,inverse(a)),
inference(superposition,[],[f5,f555]) ).
fof(f577,plain,
! [X0,X1] :
( ~ product(c,X0,X1)
| product(multiply(inverse(d),a),X1,X0) ),
inference(resolution,[],[f122,f242]) ).
fof(f672,plain,
product(multiply(inverse(d),a),identity,inverse(c)),
inference(resolution,[],[f577,f4]) ).
fof(f674,plain,
! [X0] : product(multiply(inverse(d),a),multiply(c,X0),X0),
inference(resolution,[],[f577,f5]) ).
fof(f692,plain,
multiply(inverse(d),a) = inverse(c),
inference(resolution,[],[f672,f19]) ).
fof(f701,definition,
( spl0_22
<=> subgroup_member(inverse(c)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f702,plain,
( ~ subgroup_member(inverse(c))
| spl0_22 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f755,plain,
! [X0] : product(inverse(c),multiply(c,X0),X0),
inference(forward_demodulation,[],[f674,f692]) ).
fof(f759,plain,
! [X0] : multiply(inverse(c),multiply(c,X0)) = X0,
inference(resolution,[],[f755,f20]) ).
fof(f761,plain,
! [X0,X1] :
( ~ product(multiply(c,identity),X0,X1)
| product(inverse(c),X1,X0) ),
inference(resolution,[],[f755,f122]) ).
fof(f771,plain,
! [X0,X1] :
( ~ product(c,X0,X1)
| product(inverse(c),X1,X0) ),
inference(forward_demodulation,[],[f761,f31]) ).
fof(f778,plain,
! [X0] :
( subgroup_member(X0)
| ~ subgroup_member(inverse(c))
| ~ subgroup_member(multiply(c,X0)) ),
inference(superposition,[],[f71,f759]) ).
fof(f802,plain,
! [X0] :
( product(inverse(c),X0,element_in_O2(c,X0))
| subgroup_member(X0)
| subgroup_member(c) ),
inference(resolution,[],[f771,f13]) ).
fof(f813,plain,
( ! [X0] :
( product(inverse(c),X0,element_in_O2(c,X0))
| subgroup_member(X0) )
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f802,f83]) ).
fof(f878,plain,
( ! [X0] :
( subgroup_member(X0)
| element_in_O2(c,X0) = multiply(inverse(c),X0) )
| spl0_2 ),
inference(resolution,[],[f813,f20]) ).
fof(f907,definition,
( spl0_31
<=> ! [X0] :
( ~ subgroup_member(multiply(c,X0))
| subgroup_member(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f908,plain,
( ! [X0] :
( ~ subgroup_member(multiply(c,X0))
| subgroup_member(X0) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,plain,
( ~ spl0_22
| spl0_31 ),
inference(avatar_split_clause,[],[f778,f907,f701]) ).
fof(f950,plain,
( ~ subgroup_member(c)
| spl0_22 ),
inference(resolution,[],[f702,f9]) ).
fof(f1210,plain,
! [X0] :
( ~ product(c,a,X0)
| product(inverse(b),X0,identity) ),
inference(resolution,[],[f125,f565]) ).
fof(f1220,plain,
product(inverse(b),multiply(c,a),identity),
inference(resolution,[],[f1210,f5]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ product(multiply(c,a),X0,X1)
| product(inverse(b),X1,X0) ),
inference(resolution,[],[f1220,f122]) ).
fof(f1423,plain,
product(inverse(b),identity,inverse(multiply(c,a))),
inference(resolution,[],[f1221,f4]) ).
fof(f1424,plain,
product(inverse(b),multiply(c,d),c),
inference(resolution,[],[f1221,f470]) ).
fof(f1439,plain,
( ~ subgroup_member(multiply(c,d))
| ~ subgroup_member(inverse(b))
| subgroup_member(c) ),
inference(resolution,[],[f1424,f10]) ).
fof(f1442,plain,
( ~ subgroup_member(multiply(c,d))
| ~ subgroup_member(inverse(b))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1439,f83]) ).
fof(f1444,definition,
( spl0_40
<=> subgroup_member(inverse(b)) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1446,plain,
( ~ subgroup_member(inverse(b))
| spl0_40 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1448,definition,
( spl0_41
<=> subgroup_member(multiply(c,d)) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1450,plain,
( ~ subgroup_member(multiply(c,d))
| spl0_41 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1451,plain,
( ~ spl0_40
| ~ spl0_41
| spl0_2 ),
inference(avatar_split_clause,[],[f1442,f81,f1448,f1444]) ).
fof(f1452,plain,
( ~ subgroup_member(b)
| spl0_40 ),
inference(resolution,[],[f1446,f9]) ).
fof(f1464,plain,
( $false
| spl0_40 ),
inference(forward_subsumption_resolution,[],[f1452,f14]) ).
fof(f1465,plain,
spl0_40,
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1475,plain,
( element_in_O2(c,multiply(c,d)) = multiply(inverse(c),multiply(c,d))
| spl0_2
| spl0_41 ),
inference(resolution,[],[f1450,f878]) ).
fof(f1478,plain,
( d = element_in_O2(c,multiply(c,d))
| spl0_2
| spl0_41 ),
inference(forward_demodulation,[],[f1475,f759]) ).
fof(f1481,plain,
inverse(b) = inverse(multiply(c,a)),
inference(resolution,[],[f1423,f19]) ).
fof(f1495,plain,
product(multiply(c,a),inverse(b),identity),
inference(superposition,[],[f4,f1481]) ).
fof(f1503,plain,
! [X0,X1] :
( ~ product(inverse(b),X0,X1)
| product(multiply(c,a),X1,X0) ),
inference(resolution,[],[f1495,f122]) ).
fof(f1570,plain,
( subgroup_member(d)
| subgroup_member(multiply(c,d))
| subgroup_member(c)
| spl0_2
| spl0_41 ),
inference(superposition,[],[f12,f1478]) ).
fof(f1571,plain,
( subgroup_member(multiply(c,d))
| subgroup_member(c)
| spl0_2
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f1570,f17]) ).
fof(f1572,plain,
( subgroup_member(c)
| spl0_2
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f1571,f1450]) ).
fof(f1573,plain,
( $false
| spl0_2
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f1572,f83]) ).
fof(f1574,plain,
( spl0_2
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1576,definition,
( spl0_42
<=> ! [X0] :
( subgroup_member(multiply(X0,d))
| ~ subgroup_member(multiply(X0,a)) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f1577,plain,
( ! [X0] :
( subgroup_member(multiply(X0,d))
| ~ subgroup_member(multiply(X0,a)) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1579,plain,
( spl0_42
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f476,f81,f1576]) ).
fof(f1590,plain,
( $false
| ~ spl0_2
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f950,f82]) ).
fof(f1591,plain,
( ~ spl0_2
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1590]) ).
fof(f1646,plain,
( ~ subgroup_member(multiply(c,a))
| subgroup_member(d)
| ~ spl0_31
| ~ spl0_42 ),
inference(resolution,[],[f1577,f908]) ).
fof(f1651,plain,
( ~ subgroup_member(multiply(c,a))
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1646,f17]) ).
fof(f1719,plain,
product(multiply(c,a),identity,b),
inference(resolution,[],[f1503,f3]) ).
fof(f3769,plain,
b = multiply(c,a),
inference(resolution,[],[f1719,f19]) ).
fof(f3795,plain,
( ~ subgroup_member(b)
| ~ spl0_31
| ~ spl0_42 ),
inference(superposition,[],[f1651,f3769]) ).
fof(f3816,plain,
( $false
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f3795,f14]) ).
fof(f3817,plain,
( ~ spl0_31
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f3816]) ).
cnf(s19,plain,
( ~ spl0_22
| spl0_31 ),
inference(sat_conversion,[],[f910]) ).
cnf(s31,plain,
( spl0_2
| ~ spl0_40
| ~ spl0_41 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s32,plain,
spl0_40,
inference(sat_conversion,[],[f1465]) ).
cnf(s33,plain,
( spl0_2
| spl0_41 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s35,plain,
( ~ spl0_2
| spl0_42 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s38,plain,
( ~ spl0_2
| spl0_22 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s77,plain,
( ~ spl0_31
| ~ spl0_42 ),
inference(sat_conversion,[],[f3817]) ).
cnf(s84,plain,
( spl0_2
| ~ spl0_41 ),
inference(rat,[],[s31,s32]) ).
cnf(s86,plain,
spl0_2,
inference(rat,[],[s84,s33]) ).
cnf(s91,plain,
spl0_22,
inference(rat,[],[s38,s86]) ).
cnf(s92,plain,
spl0_42,
inference(rat,[],[s35,s86]) ).
cnf(s100,plain,
spl0_31,
inference(rat,[],[s19,s91]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s77,s92,s100]) ).
fof(f3820,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP039-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 09:15:35 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.34 Running first-order model finding
% 0.08/0.34 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
% 0.54/0.47 % (2101946)Will run a generic schedule for satisfiability detection.
% 0.54/0.47 % (2101952)% WARNING: option uhcvi not known.
% 0.54/0.47 % (2101952)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1836503228:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.54/0.47 % (2101953)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3769989142:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.54/0.47 % (2101957)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=309499894:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.54/0.47 % (2101951)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2208748154_2999 on theBenchmark for (2999ds/0Mi)
% 0.54/0.47 % (2101954)dis+10_1_sil=32000:sp=arity:random_seed=2467087370:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.54/0.47 % (2101955)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=191707411:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.54/0.47 % (2101956)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4081498370:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.47 % TRYING [1]
% 0.54/0.47 % TRYING [2]
% 0.54/0.47 % TRYING [3]
% 0.54/0.47 % TRYING [4]
% 0.54/0.47 % TRYING [5]
% 0.54/0.47 % TRYING [6]
% 0.54/0.47 % (2101955)Instruction limit reached!
% 0.54/0.47 % (2101955)------------------------------
% 0.54/0.47 % (2101955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.47 % (2101955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.47 % (2101955)CaDiCaL version: 2.1.3
% 0.54/0.47 % (2101955)Termination reason: Instruction limit
% 0.54/0.47 % (2101955)Termination phase: Saturation
% 0.54/0.47 % (2101955)Time elapsed: 0.037 s
% 0.54/0.47 % (2101955)Peak memory usage: 12 MB
% 0.54/0.47 % (2101955)Instructions burned: 117 (million)
% 0.54/0.47 % (2101954)Instruction limit reached!
% 0.54/0.47 % (2101954)------------------------------
% 0.54/0.47 % (2101954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.47 % (2101954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.47 % (2101954)CaDiCaL version: 2.1.3
% 0.54/0.47 % (2101954)Termination reason: Instruction limit
% 0.54/0.47 % (2101954)Termination phase: Saturation
% 0.54/0.47 % (2101954)Time elapsed: 0.038 s
% 0.54/0.47 % (2101954)Peak memory usage: 12 MB
% 0.54/0.47 % (2101954)Instructions burned: 105 (million)
% 0.54/0.47 % (2101956)Instruction limit reached!
% 0.54/0.47 % (2101956)------------------------------
% 0.54/0.47 % (2101956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.47 % (2101956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.47 % (2101956)CaDiCaL version: 2.1.3
% 0.54/0.47 % (2101956)Termination reason: Instruction limit
% 0.54/0.47 % (2101956)Termination phase: Saturation
% 0.54/0.47 % (2101956)Time elapsed: 0.042 s
% 0.54/0.47 % (2101956)Peak memory usage: 12 MB
% 0.54/0.47 % (2101956)Instructions burned: 133 (million)
% 0.54/0.47 % TRYING [7]
% 0.54/0.47 % (2101965)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3651247131:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.54/0.47 % (2101966)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1019737082:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.47 % TRYING [1]
% 0.54/0.47 % TRYING [2]
% 0.54/0.47 % TRYING [3]
% 0.54/0.47 % TRYING [4]
% 0.54/0.47 % (2101967)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=4038445350:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.54/0.47 % (2101957)Instruction limit reached!
% 0.54/0.47 % (2101957)------------------------------
% 0.54/0.47 % (2101957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.47 % (2101957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.47 % (2101957)CaDiCaL version: 2.1.3
% 0.54/0.47 % (2101957)Termination reason: Instruction limit
% 0.54/0.47 % (2101957)Termination phase: Saturation
% 0.54/0.47 % (2101957)Time elapsed: 0.057 s
% 0.54/0.47 % (2101957)Peak memory usage: 13 MB
% 0.54/0.47 % (2101957)Instructions burned: 159 (million)
% 0.54/0.47 % TRYING [5]
% 0.54/0.47 % (2101971)ott-21_1_sil=16000:fs=off:random_seed=426785194:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.54/0.47 % TRYING [6]
% 0.54/0.47 % (2101967) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2101946-2101967"...
% 0.54/0.47 % (2101967)...printing done.
% 0.54/0.47 % (2101966)Instruction limit reached!
% 0.54/0.47 % (2101966)------------------------------
% 0.54/0.47 % (2101966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.47 % (2101966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.47 % (2101966)CaDiCaL version: 2.1.3
% 0.54/0.47 % (2101966)Termination reason: Instruction limit
% 0.54/0.47 % (2101966)Termination phase: Saturation
% 0.54/0.47 % (2101966)Time elapsed: 0.047 s
% 0.54/0.47 % (2101966)Peak memory usage: 12 MB
% 0.54/0.47 % (2101966)Instructions burned: 132 (million)
% 0.54/0.47 % (2101967)Refutation found. Thanks to Tanya!
% 0.54/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.47 % (2101967)------------------------------
% 0.54/0.47 % (2101967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.47 % (2101967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.47 % (2101967)CaDiCaL version: 2.1.3
% 0.54/0.47 % (2101967)Termination reason: Refutation
% 0.54/0.47 % (2101967)Time elapsed: 0.042 s
% 0.54/0.47 % (2101967)Peak memory usage: 13 MB
% 0.54/0.47 % (2101967)Instructions burned: 118 (million)
% 0.54/0.47 % (2101946)Success in time 0.122 s
% 0.54/0.47 % Vampire exiting
%------------------------------------------------------------------------------