TSTP Solution File: SEU382+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:33:32 EDT 2022
% Result : Theorem 0.17s 0.61s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 36 unt; 0 def)
% Number of atoms : 108 ( 49 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 78 ( 30 ~; 22 |; 17 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2530,plain,
$false,
inference(subsumption_resolution,[],[f2529,f618]) ).
fof(f618,plain,
sF27 != sF30,
inference(definition_folding,[],[f585,f614,f617,f616,f615,f614,f614]) ).
fof(f615,plain,
inclusion_relation(sF27) = sF28,
introduced(function_definition,[]) ).
fof(f616,plain,
sF29 = rel_str_of(sF27,sF28),
introduced(function_definition,[]) ).
fof(f617,plain,
the_carrier(sF29) = sF30,
introduced(function_definition,[]) ).
fof(f614,plain,
sF27 = powerset(sK10),
introduced(function_definition,[]) ).
fof(f585,plain,
the_carrier(rel_str_of(powerset(sK10),inclusion_relation(powerset(sK10)))) != powerset(sK10),
inference(definition_unfolding,[],[f320,f553]) ).
fof(f553,plain,
! [X0] : boole_POSet(X0) = rel_str_of(powerset(X0),inclusion_relation(powerset(X0))),
inference(definition_unfolding,[],[f488,f552]) ).
fof(f552,plain,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_relation(X0)),
inference(definition_unfolding,[],[f517,f495]) ).
fof(f495,plain,
! [X0] : inclusion_order(X0) = inclusion_relation(X0),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] : inclusion_order(X0) = inclusion_relation(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_yellow_1) ).
fof(f517,plain,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow_1) ).
fof(f488,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f320,plain,
powerset(sK10) != the_carrier(boole_POSet(sK10)),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
powerset(sK10) != the_carrier(boole_POSet(sK10)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f147,f213]) ).
fof(f213,plain,
( ? [X0] : powerset(X0) != the_carrier(boole_POSet(X0))
=> powerset(sK10) != the_carrier(boole_POSet(sK10)) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
? [X0] : powerset(X0) != the_carrier(boole_POSet(X0)),
inference(ennf_transformation,[],[f85]) ).
fof(f85,negated_conjecture,
~ ! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(negated_conjecture,[],[f84]) ).
fof(f84,conjecture,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f2529,plain,
sF27 = sF30,
inference(trivial_inequality_removal,[],[f2522]) ).
fof(f2522,plain,
( sF29 != sF29
| sF27 = sF30 ),
inference(superposition,[],[f1886,f1548]) ).
fof(f1548,plain,
sF29 = rel_str_of(sF30,the_InternalRel(sF29)),
inference(forward_demodulation,[],[f1547,f617]) ).
fof(f1547,plain,
sF29 = rel_str_of(the_carrier(sF29),the_InternalRel(sF29)),
inference(subsumption_resolution,[],[f1546,f652]) ).
fof(f652,plain,
rel_str(sF29),
inference(forward_demodulation,[],[f651,f616]) ).
fof(f651,plain,
rel_str(rel_str_of(sF27,sF28)),
inference(superposition,[],[f612,f615]) ).
fof(f612,plain,
! [X0] : rel_str(rel_str_of(X0,inclusion_relation(X0))),
inference(definition_unfolding,[],[f490,f552]) ).
fof(f490,plain,
! [X0] : rel_str(incl_POSet(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( rel_str(incl_POSet(X0))
& strict_rel_str(incl_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f1546,plain,
( sF29 = rel_str_of(the_carrier(sF29),the_InternalRel(sF29))
| ~ rel_str(sF29) ),
inference(resolution,[],[f496,f655]) ).
fof(f655,plain,
strict_rel_str(sF29),
inference(forward_demodulation,[],[f654,f616]) ).
fof(f654,plain,
strict_rel_str(rel_str_of(sF27,sF28)),
inference(superposition,[],[f613,f615]) ).
fof(f613,plain,
! [X0] : strict_rel_str(rel_str_of(X0,inclusion_relation(X0))),
inference(definition_unfolding,[],[f489,f552]) ).
fof(f489,plain,
! [X0] : strict_rel_str(incl_POSet(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f496,plain,
! [X0] :
( ~ strict_rel_str(X0)
| ~ rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0)
| ~ strict_rel_str(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f1886,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sF29
| sF27 = X0 ),
inference(subsumption_resolution,[],[f1880,f968]) ).
fof(f968,plain,
relation_of2(sF28,sF27,sF27),
inference(resolution,[],[f514,f649]) ).
fof(f649,plain,
relation_of2_as_subset(sF28,sF27,sF27),
inference(superposition,[],[f611,f615]) ).
fof(f611,plain,
! [X0] : relation_of2_as_subset(inclusion_relation(X0),X0,X0),
inference(definition_unfolding,[],[f487,f495]) ).
fof(f487,plain,
! [X0] : relation_of2_as_subset(inclusion_order(X0),X0,X0),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] : relation_of2_as_subset(inclusion_order(X0),X0,X0),
inference(pure_predicate_removal,[],[f107]) ).
fof(f107,plain,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& reflexive(inclusion_order(X0)) ),
inference(pure_predicate_removal,[],[f106]) ).
fof(f106,plain,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& reflexive(inclusion_order(X0))
& antisymmetric(inclusion_order(X0)) ),
inference(pure_predicate_removal,[],[f105]) ).
fof(f105,plain,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& reflexive(inclusion_order(X0))
& antisymmetric(inclusion_order(X0))
& transitive(inclusion_order(X0)) ),
inference(pure_predicate_removal,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( relation_of2_as_subset(inclusion_order(X0),X0,X0)
& reflexive(inclusion_order(X0))
& v1_partfun1(inclusion_order(X0),X0,X0)
& antisymmetric(inclusion_order(X0))
& transitive(inclusion_order(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_1) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1,X2] :
( ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) )
& ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ) ),
inference(rectify,[],[f253]) ).
fof(f253,plain,
! [X0,X2,X1] :
( ( relation_of2(X1,X0,X2)
| ~ relation_of2_as_subset(X1,X0,X2) )
& ( relation_of2_as_subset(X1,X0,X2)
| ~ relation_of2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X2,X1] :
( relation_of2(X1,X0,X2)
<=> relation_of2_as_subset(X1,X0,X2) ),
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X0,X2,X1] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1880,plain,
! [X0,X1] :
( sF27 = X0
| ~ relation_of2(sF28,sF27,sF27)
| rel_str_of(X0,X1) != sF29 ),
inference(superposition,[],[f477,f616]) ).
fof(f477,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X1,X0) != rel_str_of(X3,X2)
| X1 = X3
| ~ relation_of2(X0,X1,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| rel_str_of(X1,X0) != rel_str_of(X3,X2) )
| ~ relation_of2(X0,X1,X1) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X1,X0] :
( ! [X2,X3] :
( ( X0 = X3
& X1 = X2 )
| rel_str_of(X0,X1) != rel_str_of(X3,X2) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ! [X2,X3] :
( rel_str_of(X0,X1) = rel_str_of(X3,X2)
=> ( X0 = X3
& X1 = X2 ) ) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ! [X3,X2] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 15:21:47 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (12666)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.48 % (12664)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48 % (12672)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.49 % (12666)Instruction limit reached!
% 0.17/0.49 % (12666)------------------------------
% 0.17/0.49 % (12666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (12666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (12666)Termination reason: Unknown
% 0.17/0.49 % (12666)Termination phase: Naming
% 0.17/0.49
% 0.17/0.49 % (12666)Memory used [KB]: 1023
% 0.17/0.49 % (12666)Time elapsed: 0.005 s
% 0.17/0.49 % (12666)Instructions burned: 3 (million)
% 0.17/0.49 % (12666)------------------------------
% 0.17/0.49 % (12666)------------------------------
% 0.17/0.50 % (12674)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.50 % (12683)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.50 % (12680)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.51 TRYING [1]
% 0.17/0.51 TRYING [2]
% 0.17/0.52 TRYING [3]
% 0.17/0.52 % (12665)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.53 % (12663)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.53 % (12662)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53 % (12665)Instruction limit reached!
% 0.17/0.53 % (12665)------------------------------
% 0.17/0.53 % (12665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (12665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (12665)Termination reason: Unknown
% 0.17/0.53 % (12665)Termination phase: Saturation
% 0.17/0.53
% 0.17/0.53 % (12665)Memory used [KB]: 5628
% 0.17/0.53 % (12665)Time elapsed: 0.007 s
% 0.17/0.53 % (12665)Instructions burned: 7 (million)
% 0.17/0.53 % (12665)------------------------------
% 0.17/0.53 % (12665)------------------------------
% 0.17/0.53 % (12661)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53 % (12660)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.53 % (12684)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.54 % (12678)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.54 % (12658)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.54 % (12669)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.54 % (12668)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.54 % (12679)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.54 % (12687)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.54 % (12682)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.55 % (12675)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.55 % (12676)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55 % (12677)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55 % (12664)Instruction limit reached!
% 0.17/0.55 % (12664)------------------------------
% 0.17/0.55 % (12664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (12670)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.55 % (12671)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.55 % (12664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (12664)Termination reason: Unknown
% 0.17/0.55 % (12664)Termination phase: Finite model building SAT solving
% 0.17/0.55
% 0.17/0.55 % (12664)Memory used [KB]: 7419
% 0.17/0.55 % (12664)Time elapsed: 0.141 s
% 0.17/0.55 % (12664)Instructions burned: 51 (million)
% 0.17/0.55 % (12664)------------------------------
% 0.17/0.55 % (12664)------------------------------
% 0.17/0.56 % (12667)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.56 % (12686)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.56 % (12673)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.56 % (12685)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.56 % (12681)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.58 TRYING [1]
% 0.17/0.58 TRYING [2]
% 0.17/0.60 % (12683)First to succeed.
% 0.17/0.60 % (12659)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.60 TRYING [1]
% 0.17/0.60 TRYING [2]
% 0.17/0.61 TRYING [3]
% 0.17/0.61 % (12683)Refutation found. Thanks to Tanya!
% 0.17/0.61 % SZS status Theorem for theBenchmark
% 0.17/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.61 % (12683)------------------------------
% 0.17/0.61 % (12683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.61 % (12683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.61 % (12683)Termination reason: Refutation
% 0.17/0.61
% 0.17/0.61 % (12683)Memory used [KB]: 6396
% 0.17/0.61 % (12683)Time elapsed: 0.186 s
% 0.17/0.61 % (12683)Instructions burned: 46 (million)
% 0.17/0.61 % (12683)------------------------------
% 0.17/0.61 % (12683)------------------------------
% 0.17/0.61 % (12657)Success in time 0.275 s
%------------------------------------------------------------------------------