%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP040-3 : 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 0.45s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 114 ( 41 unt; 4 def)
% Number of atoms : 230 ( 31 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 222 ( 106 ~; 112 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 105 !; 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(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,
! [X2,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
fof(f10,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(f11,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(f12,axiom,
~ subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_in_subgroup) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f14,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_in_subgroup) ).
fof(f15,axiom,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f16,axiom,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f17,negated_conjecture,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
fof(f18,plain,
! [X0] : product(X0,inverse(X0),identity),
inference(superposition,[],[f3,f17]) ).
fof(f20,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f24,plain,
! [X0,X1] :
( ~ product(X0,inverse(X0),X1)
| identity = X1 ),
inference(resolution,[],[f6,f18]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f6,f5]) ).
fof(f26,plain,
! [X0] :
( ~ product(a,c,X0)
| d = X0 ),
inference(resolution,[],[f6,f16]) ).
fof(f27,plain,
! [X0] :
( ~ product(b,inverse(a),X0)
| c = X0 ),
inference(resolution,[],[f6,f15]) ).
fof(f30,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f24,f5]) ).
fof(f36,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f30,f17]) ).
fof(f51,plain,
d = multiply(a,c),
inference(resolution,[],[f26,f5]) ).
fof(f60,definition,
( spl0_1
<=> subgroup_member(identity) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f62,plain,
( subgroup_member(identity)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f77,plain,
c = multiply(b,inverse(a)),
inference(resolution,[],[f27,f5]) ).
fof(f82,plain,
! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X1)) = X1 ),
inference(resolution,[],[f25,f11]) ).
fof(f91,plain,
! [X0,X1] :
( subgroup_member(multiply(X1,inverse(X0)))
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f9,f5]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| ~ subgroup_member(inverse(X0))
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(superposition,[],[f9,f17]) ).
fof(f103,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| ~ subgroup_member(identity)
| subgroup_member(X0) ),
inference(resolution,[],[f93,f1]) ).
fof(f108,plain,
! [X0,X1] :
( subgroup_member(multiply(X1,X0))
| ~ subgroup_member(X1)
| ~ subgroup_member(inverse(X0)) ),
inference(resolution,[],[f93,f5]) ).
fof(f114,plain,
( ! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f103,f62]) ).
fof(f116,plain,
( ! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) )
| ~ spl0_1 ),
inference(superposition,[],[f114,f17]) ).
fof(f134,plain,
! [X0] :
( subgroup_member(identity)
| ~ subgroup_member(inverse(inverse(X0)))
| ~ subgroup_member(X0) ),
inference(superposition,[],[f91,f36]) ).
fof(f141,plain,
( ! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| inverse(X1) = multiply(X0,element_in_O2(X0,inverse(X1))) )
| ~ spl0_1 ),
inference(resolution,[],[f82,f114]) ).
fof(f149,plain,
( ! [X0] :
( subgroup_member(X0)
| inverse(X0) = multiply(a,element_in_O2(a,inverse(X0))) )
| ~ spl0_1 ),
inference(resolution,[],[f141,f12]) ).
fof(f182,plain,
( ! [X0] :
( inverse(inverse(X0)) = multiply(a,element_in_O2(a,inverse(inverse(X0))))
| subgroup_member(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f149,f114]) ).
fof(f183,plain,
( ! [X0] :
( subgroup_member(X0)
| multiply(a,element_in_O2(a,X0)) = X0 )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f182,f17]) ).
fof(f185,plain,
( d = multiply(a,element_in_O2(a,d))
| ~ spl0_1 ),
inference(resolution,[],[f183,f14]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,inverse(X1),X2)
| ~ product(X3,X0,X1)
| product(X3,X2,identity) ),
inference(resolution,[],[f7,f18]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,identity,X3)
| ~ product(X0,X1,X2)
| product(X2,inverse(X1),X3) ),
inference(resolution,[],[f8,f18]) ).
fof(f330,plain,
! [X2,X0,X1] :
( product(X0,multiply(X1,inverse(X2)),identity)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f196,f5]) ).
fof(f456,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| identity = multiply(X0,multiply(X1,inverse(X2))) ),
inference(resolution,[],[f330,f25]) ).
fof(f538,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(resolution,[],[f456,f5]) ).
fof(f610,plain,
! [X0,X1] : product(X0,multiply(X1,inverse(multiply(X0,X1))),identity),
inference(superposition,[],[f5,f538]) ).
fof(f665,plain,
product(a,multiply(c,inverse(d)),identity),
inference(superposition,[],[f610,f51]) ).
fof(f673,plain,
product(b,multiply(inverse(a),inverse(c)),identity),
inference(superposition,[],[f610,f77]) ).
fof(f819,plain,
! [X2,X0,X1] :
( product(X2,inverse(X1),X0)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f211,f2]) ).
fof(f855,plain,
! [X0,X1] :
( ~ product(X0,X1,identity)
| inverse(X1) = X0 ),
inference(resolution,[],[f819,f20]) ).
fof(f859,plain,
! [X2,X0,X1] :
( ~ product(X2,inverse(X0),X1)
| product(X1,X0,X2) ),
inference(superposition,[],[f819,f17]) ).
fof(f905,plain,
a = inverse(multiply(c,inverse(d))),
inference(resolution,[],[f665,f855]) ).
fof(f915,plain,
product(c,multiply(inverse(d),a),identity),
inference(superposition,[],[f610,f905]) ).
fof(f919,plain,
inverse(a) = multiply(c,inverse(d)),
inference(superposition,[],[f17,f905]) ).
fof(f927,plain,
( subgroup_member(a)
| ~ subgroup_member(multiply(c,inverse(d)))
| ~ spl0_1 ),
inference(superposition,[],[f116,f905]) ).
fof(f934,plain,
( ~ subgroup_member(multiply(c,inverse(d)))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f927,f12]) ).
fof(f967,plain,
c = inverse(multiply(inverse(d),a)),
inference(resolution,[],[f915,f855]) ).
fof(f976,plain,
( ~ subgroup_member(inverse(a))
| ~ spl0_1 ),
inference(superposition,[],[f934,f919]) ).
fof(f985,plain,
product(c,inverse(d),inverse(a)),
inference(superposition,[],[f5,f919]) ).
fof(f1031,plain,
inverse(c) = multiply(inverse(d),a),
inference(superposition,[],[f17,f967]) ).
fof(f1038,plain,
( ~ subgroup_member(c)
| subgroup_member(multiply(inverse(d),a))
| ~ spl0_1 ),
inference(superposition,[],[f114,f967]) ).
fof(f1047,definition,
( spl0_8
<=> subgroup_member(multiply(inverse(d),a)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f1048,plain,
( subgroup_member(multiply(inverse(d),a))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1051,definition,
( spl0_9
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1052,plain,
( ~ subgroup_member(c)
| spl0_9 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1055,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1038,f60,f1051,f1047]) ).
fof(f1067,plain,
( subgroup_member(inverse(c))
| ~ spl0_8 ),
inference(superposition,[],[f1048,f1031]) ).
fof(f1104,plain,
b = inverse(multiply(inverse(a),inverse(c))),
inference(resolution,[],[f673,f855]) ).
fof(f1116,plain,
product(inverse(a),multiply(inverse(c),b),identity),
inference(superposition,[],[f610,f1104]) ).
fof(f1120,plain,
multiply(inverse(a),inverse(c)) = inverse(b),
inference(superposition,[],[f17,f1104]) ).
fof(f1127,plain,
( ~ subgroup_member(b)
| subgroup_member(multiply(inverse(a),inverse(c)))
| ~ spl0_1 ),
inference(superposition,[],[f114,f1104]) ).
fof(f1135,plain,
( subgroup_member(multiply(inverse(a),inverse(c)))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1127,f13]) ).
fof(f1153,plain,
inverse(a) = inverse(multiply(inverse(c),b)),
inference(resolution,[],[f1116,f855]) ).
fof(f1162,plain,
( subgroup_member(inverse(b))
| ~ spl0_1 ),
inference(superposition,[],[f1135,f1120]) ).
fof(f1203,plain,
( subgroup_member(inverse(a))
| ~ subgroup_member(multiply(inverse(c),b))
| ~ spl0_1 ),
inference(superposition,[],[f116,f1153]) ).
fof(f1210,plain,
( ~ subgroup_member(multiply(inverse(c),b))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1203,f976]) ).
fof(f1228,plain,
( ~ subgroup_member(inverse(c))
| ~ subgroup_member(inverse(b))
| ~ spl0_1 ),
inference(resolution,[],[f1210,f108]) ).
fof(f1246,plain,
( ~ subgroup_member(inverse(b))
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1228,f1067]) ).
fof(f1249,plain,
( $false
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1246,f1162]) ).
fof(f1250,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1345,plain,
product(inverse(a),d,c),
inference(resolution,[],[f859,f985]) ).
fof(f1377,plain,
c = multiply(inverse(a),d),
inference(resolution,[],[f1345,f25]) ).
fof(f1880,plain,
! [X2,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| product(X0,X2,X1) ),
inference(resolution,[],[f192,f18]) ).
fof(f2243,plain,
! [X0,X1] : product(X0,multiply(inverse(X0),X1),X1),
inference(resolution,[],[f1880,f5]) ).
fof(f2279,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(superposition,[],[f2243,f17]) ).
fof(f2323,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(resolution,[],[f2279,f25]) ).
fof(f2488,plain,
( element_in_O2(a,d) = multiply(inverse(a),d)
| ~ spl0_1 ),
inference(superposition,[],[f2323,f185]) ).
fof(f2519,plain,
( c = element_in_O2(a,d)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2488,f1377]) ).
fof(f2556,plain,
( subgroup_member(c)
| subgroup_member(d)
| subgroup_member(a)
| ~ spl0_1 ),
inference(superposition,[],[f10,f2519]) ).
fof(f2557,plain,
( subgroup_member(d)
| subgroup_member(a)
| ~ spl0_1
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f2556,f1052]) ).
fof(f2558,plain,
( subgroup_member(a)
| ~ spl0_1
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f2557,f14]) ).
fof(f2559,plain,
( $false
| ~ spl0_1
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f2558,f12]) ).
fof(f2560,plain,
( ~ spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2559]) ).
fof(f2567,definition,
( spl0_25
<=> ! [X0] : ~ subgroup_member(X0) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f2568,plain,
( ! [X0] : ~ subgroup_member(X0)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f2567]) ).
fof(f2590,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity)
| ~ subgroup_member(X0) ),
inference(forward_demodulation,[],[f134,f17]) ).
fof(f2591,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f2590]) ).
fof(f2654,plain,
( spl0_1
| spl0_25 ),
inference(avatar_split_clause,[],[f2591,f2567,f60]) ).
fof(f2686,plain,
( ! [X0,X1] :
( subgroup_member(X0)
| subgroup_member(X1) )
| ~ spl0_25 ),
inference(resolution,[],[f2568,f10]) ).
fof(f2690,plain,
( ! [X1] : subgroup_member(X1)
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2686,f2568]) ).
fof(f2693,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2690,f2568]) ).
fof(f2694,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f2693]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1055]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s29,plain,
( ~ spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f2560]) ).
cnf(s53,plain,
( spl0_1
| spl0_25 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s62,plain,
~ spl0_25,
inference(sat_conversion,[],[f2694]) ).
cnf(s63,plain,
spl0_1,
inference(rat,[],[s53,s62]) ).
cnf(s68,plain,
spl0_9,
inference(rat,[],[s29,s63]) ).
cnf(s75,plain,
~ spl0_8,
inference(rat,[],[s16,s63]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s8,s68,s75,s63]) ).
fof(f2695,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP040-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 09:16:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.54/0.45 % (2102766)Will run a generic schedule for satisfiability detection.
% 0.54/0.45 % (2102772)% WARNING: option uhcvi not known.
% 0.54/0.45 % (2102777)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3879242061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.54/0.45 % (2102772)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4265005160:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.54/0.45 % (2102774)dis+10_1_sil=32000:sp=arity:random_seed=1254414148:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.54/0.45 % (2102771)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1940358072_2999 on theBenchmark for (2999ds/0Mi)
% 0.54/0.45 % (2102773)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1537389827:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.54/0.45 % (2102775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4268953296:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.54/0.45 % (2102776)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1546486304:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.45 % TRYING [1]
% 0.54/0.45 % TRYING [2]
% 0.54/0.45 % TRYING [3]
% 0.54/0.45 % TRYING [4]
% 0.54/0.45 % TRYING [5]
% 0.54/0.45 % TRYING [6]
% 0.54/0.45 % (2102775)Instruction limit reached!
% 0.54/0.45 % (2102775)------------------------------
% 0.54/0.45 % (2102775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (2102775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (2102775)CaDiCaL version: 2.1.3
% 0.54/0.45 % (2102775)Termination reason: Instruction limit
% 0.54/0.45 % (2102775)Termination phase: Saturation
% 0.54/0.45 % (2102775)Time elapsed: 0.035 s
% 0.54/0.45 % (2102775)Peak memory usage: 12 MB
% 0.54/0.45 % (2102775)Instructions burned: 119 (million)
% 0.54/0.45 % (2102774)Instruction limit reached!
% 0.54/0.45 % (2102774)------------------------------
% 0.54/0.45 % (2102774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (2102774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (2102774)CaDiCaL version: 2.1.3
% 0.54/0.45 % (2102774)Termination reason: Instruction limit
% 0.54/0.45 % (2102774)Termination phase: Saturation
% 0.54/0.45 % (2102774)Time elapsed: 0.038 s
% 0.54/0.45 % (2102774)Peak memory usage: 12 MB
% 0.54/0.45 % (2102774)Instructions burned: 104 (million)
% 0.54/0.45 % TRYING [7]
% 0.54/0.45 % (2102776)Instruction limit reached!
% 0.54/0.45 % (2102776)------------------------------
% 0.54/0.45 % (2102776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (2102776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (2102776)CaDiCaL version: 2.1.3
% 0.54/0.45 % (2102776)Termination reason: Instruction limit
% 0.54/0.45 % (2102776)Termination phase: Saturation
% 0.54/0.45 % (2102776)Time elapsed: 0.042 s
% 0.54/0.45 % (2102776)Peak memory usage: 12 MB
% 0.54/0.45 % (2102776)Instructions burned: 131 (million)
% 0.54/0.45 % (2102785)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1391194433:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.54/0.45 % TRYING [1]
% 0.54/0.45 % (2102786)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1230217472:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.45 % TRYING [2]
% 0.54/0.45 % TRYING [3]
% 0.54/0.45 % TRYING [4]
% 0.54/0.45 % (2102787)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=3892306189:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.54/0.45 % (2102777)Instruction limit reached!
% 0.54/0.45 % (2102777)------------------------------
% 0.54/0.45 % (2102777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (2102777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (2102777)CaDiCaL version: 2.1.3
% 0.54/0.45 % (2102777)Termination reason: Instruction limit
% 0.54/0.45 % (2102777)Termination phase: Saturation
% 0.54/0.45 % (2102777)Time elapsed: 0.053 s
% 0.54/0.45 % (2102777)Peak memory usage: 12 MB
% 0.54/0.45 % (2102777)Instructions burned: 162 (million)
% 0.54/0.45 % TRYING [5]
% 0.54/0.45 % (2102791)ott-21_1_sil=16000:fs=off:random_seed=1875386202:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.54/0.45 % TRYING [6]
% 0.54/0.45 % (2102787) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2102766-2102787"...
% 0.54/0.45 % (2102787)...printing done.
% 0.54/0.45 % (2102787)Refutation found. Thanks to Tanya!
% 0.54/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.45 % (2102787)------------------------------
% 0.54/0.45 % (2102787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (2102787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (2102787)CaDiCaL version: 2.1.3
% 0.54/0.45 % (2102787)Termination reason: Refutation
% 0.54/0.45 % (2102787)Time elapsed: 0.031 s
% 0.54/0.45 % (2102787)Peak memory usage: 13 MB
% 0.54/0.45 % (2102787)Instructions burned: 83 (million)
% 0.54/0.45 % (2102766)Success in time 0.117 s
% 0.54/0.45 % Vampire exiting
%------------------------------------------------------------------------------