%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL003-6 : 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 : n016.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 09:38:08 AM UTC 2026
% Result : Unsatisfiable 6.30s 1.16s
% Output : Refutation 6.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 34 unt; 7 def)
% Number of atoms : 38 ( 33 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
fof(f3,axiom,
! [X0] :
( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
| fixed_point(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),w)),b)),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,definition,
sF0 = apply(w,w),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
apply(w,w) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = apply(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
apply(b,sF0) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = apply(sF1,w),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
apply(sF1,w) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = apply(b,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
apply(b,sF2) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = apply(sF3,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
apply(sF3,b) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = apply(b,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
apply(b,sF4) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = apply(sF5,b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
apply(sF5,b) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
~ fixed_point(sF6),
inference(definition_folding,[],[f4,f18,f16,f14,f12,f10,f8,f6]) ).
fof(f24,plain,
! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0),
inference(superposition,[],[f2,f2]) ).
fof(f25,plain,
! [X0] : apply(sF0,X0) = apply(apply(X0,X0),X0),
inference(forward_demodulation,[],[f24,f6]) ).
fof(f46,plain,
! [X0,X1] : apply(sF0,apply(X0,X1)) = apply(apply(sF1,X0),X1),
inference(superposition,[],[f1,f8]) ).
fof(f47,plain,
! [X0,X1] : apply(sF2,apply(X0,X1)) = apply(apply(sF3,X0),X1),
inference(superposition,[],[f1,f12]) ).
fof(f48,plain,
! [X0,X1] : apply(sF4,apply(X0,X1)) = apply(apply(sF5,X0),X1),
inference(superposition,[],[f1,f16]) ).
fof(f51,plain,
! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f62,plain,
! [X0] : apply(sF0,apply(w,X0)) = apply(sF2,X0),
inference(superposition,[],[f46,f10]) ).
fof(f70,plain,
! [X0] : apply(sF2,apply(b,X0)) = apply(sF4,X0),
inference(superposition,[],[f47,f14]) ).
fof(f80,plain,
! [X0] : apply(sF4,apply(b,X0)) = apply(sF6,X0),
inference(superposition,[],[f48,f18]) ).
fof(f124,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(b,apply(b,X0))),X1),X2),
inference(superposition,[],[f1,f51]) ).
fof(f408,plain,
( apply(sF4,apply(b,fixed_pt)) != apply(fixed_pt,apply(sF4,apply(b,fixed_pt)))
| fixed_point(sF6) ),
inference(superposition,[],[f3,f80]) ).
fof(f409,plain,
apply(sF4,apply(b,fixed_pt)) != apply(fixed_pt,apply(sF4,apply(b,fixed_pt))),
inference(forward_subsumption_resolution,[],[f408,f19]) ).
fof(f9111,plain,
! [X0] : apply(sF0,apply(w,apply(b,apply(b,X0)))) = apply(X0,apply(sF0,apply(w,apply(b,apply(b,X0))))),
inference(superposition,[],[f124,f25]) ).
fof(f9421,plain,
! [X0] : apply(sF2,apply(b,apply(b,X0))) = apply(X0,apply(sF2,apply(b,apply(b,X0)))),
inference(forward_demodulation,[],[f9111,f62]) ).
fof(f9481,plain,
! [X0] : apply(sF4,apply(b,X0)) = apply(X0,apply(sF4,apply(b,X0))),
inference(forward_demodulation,[],[f9421,f70]) ).
fof(f9596,plain,
apply(sF4,apply(b,fixed_pt)) != apply(sF4,apply(b,fixed_pt)),
inference(superposition,[],[f409,f9481]) ).
fof(f9614,plain,
$false,
inference(trivial_inequality_removal,[],[f9596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL003-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:34:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 6.30/1.16 % (4044174)Will run a generic schedule for satisfiability detection.
% 6.30/1.16 % (4044181)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2992726252:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.30/1.16 % (4044180)% WARNING: option uhcvi not known.
% 6.30/1.16 % (4044179)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2490276761_2999 on theBenchmark for (2999ds/0Mi)
% 6.30/1.16 % (4044180)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2225779073:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.30/1.16 % (4044182)dis+10_1_sil=32000:sp=arity:random_seed=1708499199:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.30/1.16 % (4044183)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2485065248:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.30/1.16 % (4044185)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3401153700:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.30/1.16 % (4044184)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2445119592:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.30/1.16 % TRYING [1]
% 6.30/1.16 % TRYING [2]
% 6.30/1.16 % TRYING [3]
% 6.30/1.16 % TRYING [4]
% 6.30/1.16 % (4044182)Instruction limit reached!
% 6.30/1.16 % (4044182)------------------------------
% 6.30/1.16 % (4044182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044182)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044182)Termination reason: Instruction limit
% 6.30/1.16 % (4044182)Termination phase: Saturation
% 6.30/1.16 % (4044182)Time elapsed: 0.057 s
% 6.30/1.16 % (4044182)Peak memory usage: 12 MB
% 6.30/1.16 % (4044182)Instructions burned: 103 (million)
% 6.30/1.16 % TRYING [5]
% 6.30/1.16 % (4044183)Instruction limit reached!
% 6.30/1.16 % (4044183)------------------------------
% 6.30/1.16 % (4044183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044183)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044183)Termination reason: Instruction limit
% 6.30/1.16 % (4044183)Termination phase: Saturation
% 6.30/1.16 % (4044183)Time elapsed: 0.071 s
% 6.30/1.16 % (4044183)Peak memory usage: 12 MB
% 6.30/1.16 % (4044183)Instructions burned: 116 (million)
% 6.30/1.16 % (4044193)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3950478725:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.30/1.16 % TRYING [1]
% 6.30/1.16 % TRYING [2]
% 6.30/1.16 % TRYING [3]
% 6.30/1.16 % (4044184)Instruction limit reached!
% 6.30/1.16 % (4044184)------------------------------
% 6.30/1.16 % (4044184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044184)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044184)Termination reason: Instruction limit
% 6.30/1.16 % (4044184)Termination phase: Saturation
% 6.30/1.16 % (4044184)Time elapsed: 0.082 s
% 6.30/1.16 % (4044184)Peak memory usage: 13 MB
% 6.30/1.16 % (4044184)Instructions burned: 134 (million)
% 6.30/1.16 % TRYING [4]
% 6.30/1.16 % (4044199)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=668818900:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.30/1.16 % (4044185)Instruction limit reached!
% 6.30/1.16 % (4044185)------------------------------
% 6.30/1.16 % (4044185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044185)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044185)Termination reason: Instruction limit
% 6.30/1.16 % (4044185)Termination phase: Saturation
% 6.30/1.16 % (4044185)Time elapsed: 0.097 s
% 6.30/1.16 % (4044185)Peak memory usage: 13 MB
% 6.30/1.16 % (4044185)Instructions burned: 160 (million)
% 6.30/1.16 % (4044206)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=2768906826:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.30/1.16 % (4044215)ott-21_1_sil=16000:fs=off:random_seed=3064336577:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.30/1.16 % TRYING [5]
% 6.30/1.16 % (4044199)Instruction limit reached!
% 6.30/1.16 % (4044199)------------------------------
% 6.30/1.16 % (4044199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044199)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044199)Termination reason: Instruction limit
% 6.30/1.16 % (4044199)Termination phase: Saturation
% 6.30/1.16 % (4044199)Time elapsed: 0.086 s
% 6.30/1.16 % (4044199)Peak memory usage: 13 MB
% 6.30/1.16 % (4044199)Instructions burned: 131 (million)
% 6.30/1.16 % (4044248)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=401216440:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.30/1.16 % (4044215)Instruction limit reached!
% 6.30/1.16 % (4044215)------------------------------
% 6.30/1.16 % (4044215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044215)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044215)Termination reason: Instruction limit
% 6.30/1.16 % (4044215)Termination phase: Saturation
% 6.30/1.16 % (4044215)Time elapsed: 0.084 s
% 6.30/1.16 % (4044215)Peak memory usage: 12 MB
% 6.30/1.16 % (4044215)Instructions burned: 180 (million)
% 6.30/1.16 % (4044262)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3444531610:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.30/1.16 % TRYING [1]
% 6.30/1.16 % TRYING [2]
% 6.30/1.16 % TRYING [3]
% 6.30/1.16 % TRYING [4]
% 6.30/1.16 % TRYING [5]
% 6.30/1.16 % TRYING [6]
% 6.30/1.16 % TRYING [6]
% 6.30/1.16 % TRYING [6]
% 6.30/1.16 % (4044248)Instruction limit reached!
% 6.30/1.16 % (4044248)------------------------------
% 6.30/1.16 % (4044248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044248)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044248)Termination reason: Instruction limit
% 6.30/1.16 % (4044248)Termination phase: Saturation
% 6.30/1.16 % (4044248)Time elapsed: 0.255 s
% 6.30/1.16 % (4044248)Peak memory usage: 15 MB
% 6.30/1.16 % (4044248)Instructions burned: 478 (million)
% 6.30/1.16 % (4044206)Instruction limit reached!
% 6.30/1.16 % (4044206)------------------------------
% 6.30/1.16 % (4044206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044206)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044206)Termination reason: Instruction limit
% 6.30/1.16 % (4044206)Termination phase: Saturation
% 6.30/1.16 % (4044206)Time elapsed: 0.354 s
% 6.30/1.16 % (4044206)Peak memory usage: 17 MB
% 6.30/1.16 % (4044206)Instructions burned: 685 (million)
% 6.30/1.16 % (4044357)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=458035141:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.30/1.16 % (4044358)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3923341593:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.30/1.16 % (4044193)Instruction limit reached!
% 6.30/1.16 % (4044193)------------------------------
% 6.30/1.16 % (4044193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044193)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044193)Termination reason: Instruction limit
% 6.30/1.16 % (4044193)Termination phase: Finite model building SAT solving
% 6.30/1.16 % (4044193)Time elapsed: 0.413 s
% 6.30/1.16 % (4044193)Peak memory usage: 15 MB
% 6.30/1.16 % (4044193)Instructions burned: 715 (million)
% 6.30/1.16 % TRYING [14]
% 6.30/1.16 % (4044361)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=105234265:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.30/1.16 % (4044262)Instruction limit reached!
% 6.30/1.16 % (4044262)------------------------------
% 6.30/1.16 % (4044262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044262)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044262)Termination reason: Instruction limit
% 6.30/1.16 % (4044262)Termination phase: Finite model building SAT solving
% 6.30/1.16 % (4044262)Time elapsed: 0.434 s
% 6.30/1.16 % (4044262)Peak memory usage: 15 MB
% 6.30/1.16 % (4044262)Instructions burned: 866 (million)
% 6.30/1.16 % (4044363)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2536999484:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.30/1.16 % (4044358)Instruction limit reached!
% 6.30/1.16 % (4044358)------------------------------
% 6.30/1.16 % (4044358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044358)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044358)Termination reason: Instruction limit
% 6.30/1.16 % (4044358)Termination phase: Finite model building constraint generation
% 6.30/1.16 % (4044358)Time elapsed: 0.320 s
% 6.30/1.16 % (4044358)Peak memory usage: 78 MB
% 6.30/1.16 % (4044358)Instructions burned: 892 (million)
% 6.30/1.16 % (4044365)fmb+10_1_sil=64000:random_seed=3393223075:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.30/1.16 % TRYING [1]
% 6.30/1.16 % TRYING [2]
% 6.30/1.16 % TRYING [3]
% 6.30/1.16 % TRYING [4]
% 6.30/1.16 % TRYING [5]
% 6.30/1.16 % (4044357) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4044174-4044357"...
% 6.30/1.16 % (4044357)...printing done.
% 6.30/1.16 % (4044357)Refutation found. Thanks to Tanya!
% 6.30/1.16 % SZS status Unsatisfiable for theBenchmark
% 6.30/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 6.30/1.16 % (4044357)------------------------------
% 6.30/1.16 % (4044357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.16 % (4044357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.16 % (4044357)CaDiCaL version: 2.1.3
% 6.30/1.16 % (4044357)Termination reason: Refutation
% 6.30/1.16 % (4044357)Time elapsed: 0.405 s
% 6.30/1.16 % (4044357)Peak memory usage: 20 MB
% 6.30/1.16 % (4044357)Instructions burned: 674 (million)
% 6.30/1.16 % (4044174)Success in time 0.921 s
% 6.30/1.16 % Vampire exiting
%------------------------------------------------------------------------------