%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET157-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:43:18 PM UTC 2026
% Result : Unsatisfiable 2.24s 0.92s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 64 ( 16 unt; 2 def)
% Number of atoms : 134 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 56 ~; 68 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
union(x,y) = universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_is_unique_1) ).
fof(f123,plain,
universal_class = union(x,y),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
intersection(x,y) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_is_unique_2) ).
fof(f125,plain,
null_class = intersection(x,y),
inference(reorient_equations,[],[f124]) ).
fof(f126,negated_conjecture,
complement(x) != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_is_unique_3) ).
fof(f127,plain,
y != complement(x),
inference(reorient_equations,[],[f126]) ).
fof(f190,plain,
universal_class = complement(intersection(complement(x),complement(y))),
inference(definition_unfolding,[],[f123,f26]) ).
fof(f195,plain,
! [X0] :
( ~ member(X0,intersection(complement(x),complement(y)))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f190]) ).
fof(f197,plain,
! [X0] :
( ~ member(X0,null_class)
| member(X0,y) ),
inference(superposition,[],[f22,f125]) ).
fof(f200,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,complement(x))
| ~ member(X0,universal_class) ),
inference(resolution,[],[f23,f195]) ).
fof(f203,plain,
! [X0] :
( ~ member(X0,y)
| member(X0,null_class)
| ~ member(X0,x) ),
inference(superposition,[],[f23,f125]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,complement(x))
| ~ member(X0,universal_class)
| ~ member(X0,universal_class)
| member(X0,y) ),
inference(resolution,[],[f200,f25]) ).
fof(f205,plain,
! [X0] :
( ~ member(X0,complement(x))
| ~ member(X0,universal_class)
| member(X0,y) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f313,plain,
( null_class = intersection(complement(x),complement(y))
| ~ member(regular(intersection(complement(x),complement(y))),universal_class) ),
inference(resolution,[],[f68,f195]) ).
fof(f362,definition,
( spl0_27
<=> member(regular(intersection(complement(x),complement(y))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f364,plain,
( ~ member(regular(intersection(complement(x),complement(y))),universal_class)
| spl0_27 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f366,definition,
( spl0_28
<=> null_class = intersection(complement(x),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f367,plain,
( null_class != intersection(complement(x),complement(y))
| spl0_28 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( null_class = intersection(complement(x),complement(y))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f369,plain,
( ~ spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f313,f366,f362]) ).
fof(f407,plain,
! [X0] :
( subclass(y,X0)
| member(not_subclass_element(y,X0),null_class)
| ~ member(not_subclass_element(y,X0),x) ),
inference(resolution,[],[f2,f203]) ).
fof(f421,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| ~ member(not_subclass_element(X0,complement(X1)),universal_class)
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(resolution,[],[f3,f25]) ).
fof(f554,plain,
( ! [X0] :
( member(X0,complement(y))
| ~ member(X0,null_class) )
| ~ spl0_28 ),
inference(superposition,[],[f22,f368]) ).
fof(f564,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| member(regular(X0),X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f565,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f1607,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f564,f4]) ).
fof(f2072,plain,
! [X2,X3,X0,X1] :
( ~ subclass(X1,X3)
| subclass(X0,X2)
| ~ subclass(X0,X1)
| member(not_subclass_element(X0,X2),X3) ),
inference(resolution,[],[f565,f1]) ).
fof(f3142,plain,
( null_class = intersection(complement(x),complement(y))
| spl0_27 ),
inference(resolution,[],[f364,f1607]) ).
fof(f3143,plain,
( $false
| spl0_27
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f3142,f367]) ).
fof(f3144,plain,
( spl0_27
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f3143]) ).
fof(f3194,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,y) )
| ~ spl0_28 ),
inference(resolution,[],[f554,f24]) ).
fof(f3208,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f3194,f197]) ).
fof(f3344,plain,
! [X2,X0,X1] :
( ~ subclass(X0,X2)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(resolution,[],[f2072,f4]) ).
fof(f3360,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f3344,f4]) ).
fof(f3423,plain,
! [X0] :
( ~ member(not_subclass_element(complement(x),X0),universal_class)
| member(not_subclass_element(complement(x),X0),y)
| subclass(complement(x),X0) ),
inference(resolution,[],[f205,f2]) ).
fof(f3430,plain,
! [X0] :
( member(not_subclass_element(complement(x),X0),y)
| subclass(complement(x),X0) ),
inference(forward_subsumption_resolution,[],[f3423,f3360]) ).
fof(f3431,plain,
( subclass(complement(x),y)
| subclass(complement(x),y) ),
inference(resolution,[],[f3430,f3]) ).
fof(f3434,plain,
subclass(complement(x),y),
inference(duplicate_literal_removal,[],[f3431]) ).
fof(f3442,plain,
( ~ subclass(y,complement(x))
| y = complement(x) ),
inference(resolution,[],[f3434,f7]) ).
fof(f3443,plain,
~ subclass(y,complement(x)),
inference(forward_subsumption_resolution,[],[f3442,f127]) ).
fof(f3611,plain,
( ! [X0] :
( ~ member(not_subclass_element(y,X0),x)
| subclass(y,X0) )
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f407,f3208]) ).
fof(f14077,plain,
! [X0,X1] :
( member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(forward_subsumption_resolution,[],[f421,f3360]) ).
fof(f14614,plain,
( subclass(y,complement(x))
| subclass(y,complement(x))
| ~ spl0_28 ),
inference(resolution,[],[f14077,f3611]) ).
fof(f14663,plain,
( subclass(y,complement(x))
| ~ spl0_28 ),
inference(duplicate_literal_removal,[],[f14614]) ).
fof(f14678,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f14663,f3443]) ).
fof(f14679,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f14678]) ).
cnf(s15,plain,
( ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f369]) ).
cnf(s216,plain,
( spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f3144]) ).
cnf(s975,plain,
~ spl0_28,
inference(sat_conversion,[],[f14679]) ).
cnf(s976,plain,
spl0_27,
inference(rat,[],[s216,s975]) ).
cnf(s987,plain,
$false,
inference(rat,[],[s15,s975,s976]) ).
fof(f14687,plain,
$false,
inference(avatar_sat_refutation,[],[s987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET157-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n006.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Mon Sep 28 00:56:11 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 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
% 2.24/0.92 % (3493243)Will run a generic schedule for satisfiability detection.
% 2.24/0.92 % (3493252)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2891381223:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.24/0.92 % (3493249)% WARNING: option uhcvi not known.
% 2.24/0.92 % (3493249)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=177850954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.24/0.92 % (3493253)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2972218097:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.24/0.92 % (3493248)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3430999482_2999 on theBenchmark for (2999ds/0Mi)
% 2.24/0.92 % (3493250)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=300935778:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.24/0.92 % (3493251)dis+10_1_sil=32000:sp=arity:random_seed=3900286834:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.24/0.92 % (3493254)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=561582964:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.24/0.92 % (3493252)Instruction limit reached!
% 2.24/0.92 % (3493252)------------------------------
% 2.24/0.92 % (3493252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493252)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493252)Termination reason: Instruction limit
% 2.24/0.92 % (3493252)Termination phase: Saturation
% 2.24/0.92 % (3493252)Time elapsed: 0.040 s
% 2.24/0.92 % (3493252)Peak memory usage: 13 MB
% 2.24/0.92 % (3493252)Instructions burned: 117 (million)
% 2.24/0.92 % (3493262)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3967058169:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.24/0.92 % (3493251)Instruction limit reached!
% 2.24/0.92 % (3493251)------------------------------
% 2.24/0.92 % (3493251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493251)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493251)Termination reason: Instruction limit
% 2.24/0.92 % (3493251)Termination phase: Saturation
% 2.24/0.92 % (3493251)Time elapsed: 0.068 s
% 2.24/0.92 % (3493251)Peak memory usage: 13 MB
% 2.24/0.92 % (3493251)Instructions burned: 103 (million)
% 2.24/0.92 % (3493253)Instruction limit reached!
% 2.24/0.92 % (3493253)------------------------------
% 2.24/0.92 % (3493253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493253)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493253)Termination reason: Instruction limit
% 2.24/0.92 % (3493253)Termination phase: Saturation
% 2.24/0.92 % (3493253)Time elapsed: 0.079 s
% 2.24/0.92 % (3493253)Peak memory usage: 12 MB
% 2.24/0.92 % (3493253)Instructions burned: 132 (million)
% 2.24/0.92 % (3493264)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1950815447:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.24/0.92 % (3493265)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=58485439:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.24/0.92 % (3493254)Instruction limit reached!
% 2.24/0.92 % (3493254)------------------------------
% 2.24/0.92 % (3493254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493254)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493254)Termination reason: Instruction limit
% 2.24/0.92 % (3493254)Termination phase: Saturation
% 2.24/0.92 % (3493254)Time elapsed: 0.102 s
% 2.24/0.92 % (3493254)Peak memory usage: 13 MB
% 2.24/0.92 % (3493254)Instructions burned: 160 (million)
% 2.24/0.92 % (3493268)ott-21_1_sil=16000:fs=off:random_seed=520051190:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.24/0.92 % TRYING [1]
% 2.24/0.92 % TRYING [2]
% 2.24/0.92 % TRYING [3]
% 2.24/0.92 % (3493264)Instruction limit reached!
% 2.24/0.92 % (3493264)------------------------------
% 2.24/0.92 % (3493264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493264)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493264)Termination reason: Instruction limit
% 2.24/0.92 % (3493264)Termination phase: Saturation
% 2.24/0.92 % (3493264)Time elapsed: 0.086 s
% 2.24/0.92 % (3493264)Peak memory usage: 13 MB
% 2.24/0.92 % (3493264)Instructions burned: 131 (million)
% 2.24/0.92 % (3493270)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=88626368:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.24/0.92 % TRYING [1]
% 2.24/0.92 % TRYING [2]
% 2.24/0.92 % (3493262)Instruction limit reached!
% 2.24/0.92 % (3493262)------------------------------
% 2.24/0.92 % (3493262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493262)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493262)Termination reason: Instruction limit
% 2.24/0.92 % (3493262)Termination phase: Finite model building constraint generation
% 2.24/0.92 % (3493262)Time elapsed: 0.177 s
% 2.24/0.92 % (3493262)Peak memory usage: 34 MB
% 2.24/0.92 % (3493262)Instructions burned: 717 (million)
% 2.24/0.92 % (3493268)Instruction limit reached!
% 2.24/0.92 % (3493268)------------------------------
% 2.24/0.92 % (3493268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493268)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493268)Termination reason: Instruction limit
% 2.24/0.92 % (3493268)Termination phase: Saturation
% 2.24/0.92 % (3493268)Time elapsed: 0.099 s
% 2.24/0.92 % (3493268)Peak memory usage: 12 MB
% 2.24/0.92 % (3493268)Instructions burned: 181 (million)
% 2.24/0.92 % TRYING [3]
% 2.24/0.92 % (3493273)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2307653074:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.24/0.92 % (3493272)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2917114137:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.24/0.92 % TRYING [4]
% 2.24/0.92 % (3493265) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3493243-3493265"...
% 2.24/0.92 % (3493265)...printing done.
% 2.24/0.92 % (3493265)Refutation found. Thanks to Tanya!
% 2.24/0.92 % SZS status Unsatisfiable for theBenchmark
% 2.24/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.92 % (3493265)------------------------------
% 2.24/0.92 % (3493265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.92 % (3493265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.92 % (3493265)CaDiCaL version: 2.1.3
% 2.24/0.92 % (3493265)Termination reason: Refutation
% 2.24/0.92 % (3493265)Time elapsed: 0.337 s
% 2.24/0.92 % (3493265)Peak memory usage: 19 MB
% 2.24/0.92 % (3493265)Instructions burned: 525 (million)
% 2.24/0.92 % (3493243)Success in time 0.484 s
% 2.24/0.92 % Vampire exiting
%------------------------------------------------------------------------------