%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP091-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 10:16:38 AM UTC 2026
% Result : Unsatisfiable 1.77s 0.72s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 47 unt; 4 def)
% Number of atoms : 105 ( 62 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 29 ~; 29 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f5]) ).
fof(f8,definition,
( spl0_1
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f10,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f12,definition,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f14,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,definition,
( spl0_3
<=> a2 = multiply(multiply(inverse(b2),b2),a2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f18,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f20,definition,
( spl0_4
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f22,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_4 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f6,f20,f16,f12,f8]) ).
fof(f24,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f27,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f31,plain,
! [X2,X0,X1] : divide(divide(X1,X0),divide(divide(X1,X2),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f35,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[],[f27,f24]) ).
fof(f37,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(superposition,[],[f35,f4]) ).
fof(f39,plain,
! [X0,X1] : divide(X0,divide(inverse(X1),inverse(X0))) = X1,
inference(superposition,[],[f35,f35]) ).
fof(f42,plain,
! [X0,X1] : divide(divide(X1,X0),inverse(X0)) = X1,
inference(superposition,[],[f1,f35]) ).
fof(f43,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f37,f24]) ).
fof(f96,plain,
! [X0,X1] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
inference(superposition,[],[f42,f35]) ).
fof(f225,plain,
! [X0,X1] : inverse(X0) = divide(X1,divide(X0,inverse(X1))),
inference(superposition,[],[f39,f43]) ).
fof(f666,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f667,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f666,f24]) ).
fof(f671,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(superposition,[],[f667,f42]) ).
fof(f676,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f667,f4]) ).
fof(f689,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(superposition,[],[f35,f667]) ).
fof(f696,plain,
! [X0,X1] : multiply(divide(inverse(X0),inverse(X1)),X0) = X1,
inference(superposition,[],[f35,f667]) ).
fof(f699,plain,
! [X2,X0,X1] : divide(divide(X0,divide(multiply(X0,X1),X2)),inverse(X1)) = X2,
inference(superposition,[],[f1,f667]) ).
fof(f721,plain,
! [X2,X0,X1] : divide(X1,inverse(divide(X0,divide(multiply(X0,X1),X2)))) = X2,
inference(forward_demodulation,[],[f699,f96]) ).
fof(f723,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[],[f696,f667]) ).
fof(f734,plain,
! [X2,X0,X1] : multiply(X1,divide(X0,divide(multiply(X0,X1),X2))) = X2,
inference(forward_demodulation,[],[f721,f667]) ).
fof(f736,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f676,f43]) ).
fof(f754,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(superposition,[],[f42,f689]) ).
fof(f778,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f671,f689]) ).
fof(f848,plain,
( multiply(a4,b4) != multiply(a4,b4)
| spl0_1 ),
inference(superposition,[],[f10,f778]) ).
fof(f858,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f848]) ).
fof(f859,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f860,plain,
( multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3))
| spl0_2 ),
inference(forward_demodulation,[],[f14,f778]) ).
fof(f897,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f723,f778]) ).
fof(f1271,plain,
! [X2,X0,X1] : divide(divide(divide(X1,inverse(X0)),X2),divide(X0,X2)) = X1,
inference(superposition,[],[f31,f35]) ).
fof(f1355,plain,
! [X2,X0,X1] : divide(divide(multiply(X1,X0),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f1271,f667]) ).
fof(f2102,plain,
! [X2,X0,X1] : divide(X0,inverse(multiply(X2,X1))) = multiply(X1,divide(X2,inverse(X0))),
inference(superposition,[],[f734,f225]) ).
fof(f2156,plain,
! [X2,X0,X1] : divide(X0,inverse(multiply(X2,X1))) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f2102,f667]) ).
fof(f2173,plain,
! [X2,X0,X1] : multiply(X0,multiply(X2,X1)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f2156,f667]) ).
fof(f2386,plain,
! [X2,X0,X1] : divide(X0,inverse(divide(X1,X2))) = divide(multiply(X0,X1),X2),
inference(superposition,[],[f42,f1355]) ).
fof(f2403,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),X2) = multiply(X0,divide(X1,X2)),
inference(forward_demodulation,[],[f2386,f667]) ).
fof(f4763,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(X0,divide(X1,inverse(X2))),
inference(superposition,[],[f754,f2403]) ).
fof(f4769,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f4763,f667]) ).
fof(f7361,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| spl0_2 ),
inference(superposition,[],[f860,f2173]) ).
fof(f15170,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| spl0_2 ),
inference(superposition,[],[f7361,f4769]) ).
fof(f15270,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f15170,f778]) ).
fof(f15271,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f15270]) ).
fof(f15272,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f15271]) ).
fof(f15649,plain,
( a2 != multiply(a2,multiply(inverse(b2),b2))
| spl0_3 ),
inference(forward_demodulation,[],[f18,f778]) ).
fof(f15650,plain,
( a2 != multiply(b2,multiply(inverse(b2),a2))
| spl0_3 ),
inference(forward_demodulation,[],[f15649,f2173]) ).
fof(f15651,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15650,f897]) ).
fof(f15652,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f15651]) ).
fof(f15654,plain,
( multiply(inverse(a1),a1) != multiply(b1,inverse(b1))
| spl0_4 ),
inference(forward_demodulation,[],[f22,f778]) ).
fof(f15656,plain,
( identity != multiply(inverse(a1),a1)
| spl0_4 ),
inference(forward_demodulation,[],[f15654,f736]) ).
fof(f15657,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f15656,f676]) ).
fof(f15658,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f15657]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f23]) ).
cnf(s256,plain,
spl0_1,
inference(sat_conversion,[],[f859]) ).
cnf(s3264,plain,
spl0_2,
inference(sat_conversion,[],[f15272]) ).
cnf(s3367,plain,
spl0_3,
inference(sat_conversion,[],[f15652]) ).
cnf(s3368,plain,
spl0_4,
inference(sat_conversion,[],[f15658]) ).
cnf(s3369,plain,
$false,
inference(rat,[],[s7,s3368,s3367,s3264,s256]) ).
fof(f15659,plain,
$false,
inference(avatar_sat_refutation,[],[s3369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP091-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:19:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 1.77/0.71 % (682486)Will run a generic schedule for satisfiability detection.
% 1.77/0.71 % (682497)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=297723123:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.77/0.71 % (682492)% WARNING: option uhcvi not known.
% 1.77/0.71 % (682494)dis+10_1_sil=32000:sp=arity:random_seed=4117427304:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.77/0.71 % (682495)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3865458413:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.77/0.71 % (682491)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2889417069_2999 on theBenchmark for (2999ds/0Mi)
% 1.77/0.71 % (682492)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3215380557:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.77/0.71 % (682493)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=21121939:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.77/0.71 % (682496)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2733186059:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.77/0.71 % TRYING [1]
% 1.77/0.71 % TRYING [2]
% 1.77/0.71 % TRYING [3]
% 1.77/0.71 % TRYING [4]
% 1.77/0.71 % TRYING [5]
% 1.77/0.71 % (682497)Instruction limit reached!
% 1.77/0.71 % (682497)------------------------------
% 1.77/0.71 % (682497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.71 % (682497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.71 % (682497)CaDiCaL version: 2.1.3
% 1.77/0.71 % (682497)Termination reason: Instruction limit
% 1.77/0.71 % (682497)Termination phase: Saturation
% 1.77/0.71 % (682497)Time elapsed: 0.054 s
% 1.77/0.71 % (682497)Peak memory usage: 13 MB
% 1.77/0.71 % (682497)Instructions burned: 162 (million)
% 1.77/0.71 % (682494)Instruction limit reached!
% 1.77/0.71 % (682494)------------------------------
% 1.77/0.71 % (682494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.71 % (682495)Instruction limit reached!
% 1.77/0.71 % (682495)------------------------------
% 1.77/0.71 % (682495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.71 % (682494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.71 % (682495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.71 % (682494)CaDiCaL version: 2.1.3
% 1.77/0.71 % (682494)Termination reason: Instruction limit
% 1.77/0.71 % (682494)Termination phase: Saturation
% 1.77/0.71 % (682494)Time elapsed: 0.067 s
% 1.77/0.71 % (682494)Peak memory usage: 12 MB
% 1.77/0.71 % (682495)CaDiCaL version: 2.1.3
% 1.77/0.71 % (682494)Instructions burned: 118 (million)
% 1.77/0.71 % (682495)Termination reason: Instruction limit
% 1.77/0.71 % (682495)Termination phase: Saturation
% 1.77/0.71 % (682495)Time elapsed: 0.067 s
% 1.77/0.71 % (682495)Peak memory usage: 12 MB
% 1.77/0.71 % (682495)Instructions burned: 119 (million)
% 1.77/0.71 % (682505)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2206440919:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.77/0.71 % TRYING [1]
% 1.77/0.71 % TRYING [2]
% 1.77/0.71 % TRYING [3]
% 1.77/0.71 % TRYING [4]
% 1.77/0.71 % (682496)Instruction limit reached!
% 1.77/0.71 % (682496)------------------------------
% 1.77/0.71 % (682496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.71 % (682496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.71 % (682496)CaDiCaL version: 2.1.3
% 1.77/0.71 % (682496)Termination reason: Instruction limit
% 1.77/0.71 % (682496)Termination phase: Saturation
% 1.77/0.71 % (682496)Time elapsed: 0.076 s
% 1.77/0.71 % (682496)Peak memory usage: 12 MB
% 1.77/0.71 % (682496)Instructions burned: 132 (million)
% 1.77/0.71 % (682506)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=731183043:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.77/0.71 % (682507)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=2479407807:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.77/0.71 % TRYING [5]
% 1.77/0.71 % TRYING [6]
% 1.77/0.71 % (682509)ott-21_1_sil=16000:fs=off:random_seed=3936140203:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.77/0.71 % (682506)Instruction limit reached!
% 1.77/0.71 % (682506)------------------------------
% 1.77/0.71 % (682506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.71 % (682506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.72 % (682506)CaDiCaL version: 2.1.3
% 1.77/0.72 % (682506)Termination reason: Instruction limit
% 1.77/0.72 % (682506)Termination phase: Saturation
% 1.77/0.72 % (682506)Time elapsed: 0.074 s
% 1.77/0.72 % (682506)Peak memory usage: 13 MB
% 1.77/0.72 % (682506)Instructions burned: 132 (million)
% 1.77/0.72 % (682509)Instruction limit reached!
% 1.77/0.72 % (682509)------------------------------
% 1.77/0.72 % (682509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.72 % (682509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.72 % (682509)CaDiCaL version: 2.1.3
% 1.77/0.72 % (682509)Termination reason: Instruction limit
% 1.77/0.72 % (682509)Termination phase: Saturation
% 1.77/0.72 % (682509)Time elapsed: 0.078 s
% 1.77/0.72 % (682509)Peak memory usage: 12 MB
% 1.77/0.72 % (682509)Instructions burned: 181 (million)
% 1.77/0.72 % TRYING [6]
% 1.77/0.72 % (682513)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3053602942:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.77/0.72 % (682514)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1798505100:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.77/0.72 % TRYING [1]
% 1.77/0.72 % TRYING [2]
% 1.77/0.72 % TRYING [3]
% 1.77/0.72 % TRYING [4]
% 1.77/0.72 % TRYING [5]
% 1.77/0.72 % (682493) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-682486-682493"...
% 1.77/0.72 % (682493)...printing done.
% 1.77/0.72 % (682493)Refutation found. Thanks to Tanya!
% 1.77/0.72 % SZS status Unsatisfiable for theBenchmark
% 1.77/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.72 % (682493)------------------------------
% 1.77/0.72 % (682493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.72 % (682493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.72 % (682493)CaDiCaL version: 2.1.3
% 1.77/0.72 % (682493)Termination reason: Refutation
% 1.77/0.72 % (682493)Time elapsed: 0.249 s
% 1.77/0.72 % (682493)Peak memory usage: 16 MB
% 1.77/0.72 % (682493)Instructions burned: 462 (million)
% 1.77/0.72 % (682486)Success in time 0.297 s
% 1.77/0.72 % Vampire exiting
%------------------------------------------------------------------------------