%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL144-1 : 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 : n020.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 11:57:46 AM UTC 2026
% Result : Unsatisfiable 4.61s 1.90s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 10
% Syntax : Number of formulae : 104 ( 23 unt; 2 def)
% Number of atoms : 189 ( 67 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 167 ( 82 ~; 83 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax',partial_order_definition1) ).
fof(f11,plain,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax',partial_order_definition2) ).
fof(f13,plain,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( ordered(x,implies(y,z))
| ordered(y,implies(x,z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antecedent) ).
fof(f15,negated_conjecture,
( ~ ordered(x,implies(y,z))
| ~ ordered(y,implies(x,z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
fof(f18,definition,
( spl0_1
<=> ordered(y,implies(x,z)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f19,plain,
( ~ ordered(y,implies(x,z))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
( ordered(y,implies(x,z))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f22,definition,
( spl0_2
<=> ordered(x,implies(y,z)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f23,plain,
( ~ ordered(x,implies(y,z))
| spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f24,plain,
( ordered(x,implies(y,z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f22,f18]) ).
fof(f26,plain,
( ~ ordered(y,implies(x,z))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f15,f24]) ).
fof(f27,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f26,f22,f18]) ).
fof(f28,plain,
( truth = implies(x,implies(y,z))
| ~ spl0_2 ),
inference(resolution,[],[f11,f24]) ).
fof(f32,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f42,plain,
( truth = implies(implies(not(implies(y,z)),not(x)),truth)
| ~ spl0_2 ),
inference(superposition,[],[f6,f28]) ).
fof(f46,plain,
! [X0,X1] : truth = implies(implies(not(implies(X0,X1)),not(implies(not(X1),not(X0)))),truth),
inference(superposition,[],[f6,f6]) ).
fof(f51,plain,
! [X2,X0,X1] : truth = implies(implies(implies(X0,X1),X1),implies(implies(X0,X2),implies(implies(X1,X0),X2))),
inference(superposition,[],[f3,f4]) ).
fof(f58,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(X1,X0)),implies(implies(implies(X0,X1),X1),implies(X2,X0))),
inference(superposition,[],[f3,f4]) ).
fof(f63,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f3,f1]) ).
fof(f65,plain,
! [X2,X0,X1] : truth = implies(implies(implies(X1,X0),X2),implies(implies(X2,X0),implies(implies(X0,X1),X1))),
inference(superposition,[],[f3,f4]) ).
fof(f71,plain,
! [X0,X1] : truth = implies(implies(implies(implies(X0,X1),X1),X0),truth),
inference(superposition,[],[f3,f3]) ).
fof(f73,plain,
! [X2,X0,X1] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(truth,implies(implies(X0,X1),implies(X2,X1))),
inference(superposition,[],[f4,f3]) ).
fof(f75,plain,
! [X2,X0,X1] :
( truth != truth
| ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[],[f13,f3]) ).
fof(f76,plain,
! [X2,X0,X1] : ordered(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(trivial_inequality_removal,[],[f75]) ).
fof(f77,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,X1)) = implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f79,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f425,plain,
! [X2,X0,X1] : ordered(truth,implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(superposition,[],[f76,f79]) ).
fof(f924,plain,
( ! [X0] : truth = implies(implies(implies(truth,implies(not(implies(y,z)),not(x))),implies(not(implies(y,z)),not(x))),implies(implies(truth,X0),implies(truth,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f51,f42]) ).
fof(f1018,plain,
( ! [X0] : truth = implies(implies(implies(truth,implies(not(implies(y,z)),not(x))),implies(not(implies(y,z)),not(x))),implies(X0,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f924,f1]) ).
fof(f1083,plain,
( ! [X0] : truth = implies(implies(implies(implies(not(implies(y,z)),not(x)),truth),truth),implies(X0,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1018,f4]) ).
fof(f1106,plain,
( ! [X0] : truth = implies(implies(truth,truth),implies(X0,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1083,f42]) ).
fof(f1124,plain,
( ! [X0] : truth = implies(truth,implies(X0,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1106,f1]) ).
fof(f1133,plain,
( ! [X0] : truth = implies(X0,X0)
| ~ spl0_2 ),
inference(superposition,[],[f1124,f1]) ).
fof(f1550,plain,
! [X0] : truth = implies(implies(implies(X0,X0),implies(X0,X0)),implies(implies(implies(implies(X0,X0),X0),truth),truth)),
inference(superposition,[],[f58,f32]) ).
fof(f1595,plain,
( ! [X0] : truth = implies(implies(truth,truth),implies(implies(implies(truth,X0),truth),truth))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1550,f1133]) ).
fof(f1660,plain,
( ! [X0] : truth = implies(implies(truth,truth),implies(implies(X0,truth),truth))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1595,f1]) ).
fof(f1698,plain,
( ! [X0] : truth = implies(truth,implies(implies(X0,truth),truth))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1660,f1]) ).
fof(f3744,plain,
( ! [X0] : implies(implies(implies(y,z),X0),implies(x,X0)) = implies(implies(implies(implies(implies(y,z),X0),implies(x,X0)),truth),truth)
| ~ spl0_2 ),
inference(superposition,[],[f77,f28]) ).
fof(f3958,plain,
( ! [X0] : truth = implies(implies(X0,truth),truth)
| ~ spl0_2 ),
inference(superposition,[],[f1698,f1]) ).
fof(f4267,plain,
( ! [X0] : truth = implies(X0,truth)
| ~ spl0_2 ),
inference(superposition,[],[f79,f3958]) ).
fof(f4462,plain,
( ! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = implies(implies(implies(implies(truth,X0),implies(X1,X0)),truth),truth)
| ~ spl0_2 ),
inference(superposition,[],[f77,f4267]) ).
fof(f4504,plain,
( ! [X0,X1] : truth = implies(implies(truth,X0),implies(X1,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4462,f3958]) ).
fof(f4545,plain,
( ! [X0,X1] : truth = implies(X0,implies(X1,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4504,f1]) ).
fof(f5069,plain,
( ! [X0,X1] :
( truth != truth
| ordered(X0,implies(X1,X0)) )
| ~ spl0_2 ),
inference(superposition,[],[f13,f4545]) ).
fof(f5117,plain,
( ! [X0,X1] : ordered(X0,implies(X1,X0))
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f5069]) ).
fof(f5184,plain,
( ! [X0,X1] : ordered(X0,implies(implies(X0,X1),X1))
| ~ spl0_2 ),
inference(superposition,[],[f5117,f4]) ).
fof(f8628,plain,
( ! [X0] : truth = implies(implies(implies(y,z),X0),implies(x,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3744,f3958]) ).
fof(f14330,plain,
( ordered(truth,implies(truth,implies(y,implies(x,z))))
| ~ spl0_2 ),
inference(superposition,[],[f425,f8628]) ).
fof(f14448,plain,
( ordered(truth,implies(y,implies(x,z)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14330,f1]) ).
fof(f14612,plain,
( truth = implies(truth,implies(y,implies(x,z)))
| ~ spl0_2 ),
inference(resolution,[],[f14448,f11]) ).
fof(f14837,plain,
( truth = implies(y,implies(x,z))
| ~ spl0_2 ),
inference(superposition,[],[f14612,f1]) ).
fof(f15104,plain,
( ordered(y,implies(truth,implies(x,z)))
| ~ spl0_2 ),
inference(superposition,[],[f5184,f14837]) ).
fof(f15123,plain,
( ordered(y,implies(x,z))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f15104,f1]) ).
fof(f15173,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f15123,f19]) ).
fof(f15174,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f15173]) ).
fof(f15301,plain,
( truth = implies(y,implies(x,z))
| ~ spl0_1 ),
inference(resolution,[],[f20,f11]) ).
fof(f15316,plain,
( truth = implies(implies(not(truth),not(implies(not(implies(x,z)),not(y)))),truth)
| ~ spl0_1 ),
inference(superposition,[],[f46,f15301]) ).
fof(f15336,plain,
( truth = implies(implies(implies(truth,implies(x,z)),y),truth)
| ~ spl0_1 ),
inference(superposition,[],[f71,f15301]) ).
fof(f15345,plain,
( ! [X0] : implies(implies(implies(x,z),X0),implies(y,X0)) = implies(implies(implies(implies(implies(x,z),X0),implies(y,X0)),truth),truth)
| ~ spl0_1 ),
inference(superposition,[],[f77,f15301]) ).
fof(f15376,plain,
( truth = implies(implies(implies(x,z),y),truth)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f15336,f1]) ).
fof(f15425,plain,
( ! [X0] : truth = implies(implies(implies(truth,implies(implies(x,z),y)),implies(implies(x,z),y)),implies(implies(truth,X0),implies(truth,X0)))
| ~ spl0_1 ),
inference(superposition,[],[f51,f15376]) ).
fof(f15511,plain,
( ! [X0] : truth = implies(implies(implies(truth,implies(implies(x,z),y)),implies(implies(x,z),y)),implies(X0,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f15425,f1]) ).
fof(f15534,plain,
( ! [X0] : truth = implies(implies(implies(implies(implies(x,z),y),truth),truth),implies(X0,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f15511,f4]) ).
fof(f15542,plain,
( ! [X0] : truth = implies(implies(truth,truth),implies(X0,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f15534,f15376]) ).
fof(f15545,plain,
( ! [X0] : truth = implies(truth,implies(X0,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f15542,f1]) ).
fof(f15821,plain,
( ! [X0] : truth = implies(X0,X0)
| ~ spl0_1 ),
inference(superposition,[],[f15545,f1]) ).
fof(f16090,plain,
( ! [X0] : truth = implies(implies(X0,truth),truth)
| ~ spl0_1 ),
inference(superposition,[],[f15821,f32]) ).
fof(f17374,plain,
( ! [X0] : truth = implies(implies(truth,X0),implies(implies(X0,truth),implies(implies(truth,implies(not(truth),not(implies(not(implies(x,z)),not(y))))),implies(not(truth),not(implies(not(implies(x,z)),not(y)))))))
| ~ spl0_1 ),
inference(superposition,[],[f65,f15316]) ).
fof(f17455,plain,
( ! [X0] : truth = implies(implies(truth,X0),implies(implies(X0,truth),implies(implies(implies(not(truth),not(implies(not(implies(x,z)),not(y)))),truth),truth)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f17374,f4]) ).
fof(f17488,plain,
( ! [X0] : truth = implies(implies(truth,X0),implies(implies(X0,truth),truth))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f17455,f16090]) ).
fof(f17504,plain,
( ! [X0] : truth = implies(implies(truth,X0),truth)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f17488,f16090]) ).
fof(f17510,plain,
( ! [X0] : truth = implies(X0,truth)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f17504,f1]) ).
fof(f17575,plain,
( ! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = implies(implies(implies(implies(truth,X0),implies(X1,X0)),truth),truth)
| ~ spl0_1 ),
inference(superposition,[],[f77,f17510]) ).
fof(f17657,plain,
( ! [X0,X1] : truth = implies(implies(truth,X0),implies(X1,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f17575,f16090]) ).
fof(f17718,plain,
( ! [X0,X1] : truth = implies(X0,implies(X1,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f17657,f1]) ).
fof(f19027,plain,
( ! [X0,X1] :
( truth != truth
| ordered(X0,implies(X1,X0)) )
| ~ spl0_1 ),
inference(superposition,[],[f13,f17718]) ).
fof(f19090,plain,
( ! [X0,X1] : ordered(X0,implies(X1,X0))
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f19027]) ).
fof(f19176,plain,
( ! [X0,X1] : ordered(X0,implies(implies(X0,X1),X1))
| ~ spl0_1 ),
inference(superposition,[],[f19090,f4]) ).
fof(f20911,plain,
( ! [X0] : truth = implies(implies(implies(x,z),X0),implies(y,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f15345,f16090]) ).
fof(f21007,plain,
( ordered(truth,implies(truth,implies(x,implies(y,z))))
| ~ spl0_1 ),
inference(superposition,[],[f425,f20911]) ).
fof(f21018,plain,
( ordered(truth,implies(x,implies(y,z)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f21007,f1]) ).
fof(f21087,plain,
( truth = implies(truth,implies(x,implies(y,z)))
| ~ spl0_1 ),
inference(resolution,[],[f21018,f11]) ).
fof(f21230,plain,
( truth = implies(x,implies(y,z))
| ~ spl0_1 ),
inference(superposition,[],[f21087,f1]) ).
fof(f21458,plain,
( ordered(x,implies(truth,implies(y,z)))
| ~ spl0_1 ),
inference(superposition,[],[f19176,f21230]) ).
fof(f21461,plain,
( ordered(x,implies(y,z))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f21458,f1]) ).
fof(f21507,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f21461,f23]) ).
fof(f21508,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f21507]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f15174]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f21508]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s1,s5]) ).
cnf(s10,plain,
spl0_2,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s10,s9]) ).
fof(f21514,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL144-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 15:24:20 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
% 4.61/1.90 % (3528667)Will run a generic schedule for satisfiability detection.
% 4.61/1.90 % (3528676)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2494357385:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.61/1.90 % (3528673)% WARNING: option uhcvi not known.
% 4.61/1.90 % (3528672)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3817529102_2999 on theBenchmark for (2999ds/0Mi)
% 4.61/1.90 % (3528673)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2599764874:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.61/1.90 % (3528674)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=175550625:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.61/1.90 % (3528675)dis+10_1_sil=32000:sp=arity:random_seed=2665977384:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.61/1.90 % (3528677)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3599714262:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.61/1.90 % (3528678)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3478344609:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.61/1.90 % TRYING [1]
% 4.61/1.90 % TRYING [2]
% 4.61/1.90 % TRYING [3]
% 4.61/1.90 % TRYING [4]
% 4.61/1.90 % TRYING [5]
% 4.61/1.90 % (3528676)Instruction limit reached!
% 4.61/1.90 % (3528676)------------------------------
% 4.61/1.90 % (3528676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528676)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528676)Termination reason: Instruction limit
% 4.61/1.90 % (3528676)Termination phase: Saturation
% 4.61/1.90 % (3528676)Time elapsed: 0.037 s
% 4.61/1.90 % (3528676)Peak memory usage: 13 MB
% 4.61/1.90 % (3528676)Instructions burned: 119 (million)
% 4.61/1.90 % (3528686)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2170358093:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.61/1.90 % TRYING [1]
% 4.61/1.90 % TRYING [2]
% 4.61/1.90 % TRYING [3]
% 4.61/1.90 % TRYING [4]
% 4.61/1.90 % TRYING [5]
% 4.61/1.90 % TRYING [6]
% 4.61/1.90 % (3528675)Instruction limit reached!
% 4.61/1.90 % (3528675)------------------------------
% 4.61/1.90 % (3528675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528675)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528675)Termination reason: Instruction limit
% 4.61/1.90 % (3528675)Termination phase: Saturation
% 4.61/1.90 % (3528675)Time elapsed: 0.057 s
% 4.61/1.90 % (3528675)Peak memory usage: 12 MB
% 4.61/1.90 % (3528675)Instructions burned: 104 (million)
% 4.61/1.90 % TRYING [6]
% 4.61/1.90 % (3528688)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2541087510:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.61/1.90 % (3528677)Instruction limit reached!
% 4.61/1.90 % (3528677)------------------------------
% 4.61/1.90 % (3528677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528677)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528677)Termination reason: Instruction limit
% 4.61/1.90 % (3528677)Termination phase: Saturation
% 4.61/1.90 % (3528677)Time elapsed: 0.078 s
% 4.61/1.90 % (3528677)Peak memory usage: 13 MB
% 4.61/1.90 % (3528677)Instructions burned: 131 (million)
% 4.61/1.90 % TRYING [7]
% 4.61/1.90 % (3528690)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=3292411684:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.61/1.90 % (3528678)Instruction limit reached!
% 4.61/1.90 % (3528678)------------------------------
% 4.61/1.90 % (3528678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528678)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528678)Termination reason: Instruction limit
% 4.61/1.90 % (3528678)Termination phase: Saturation
% 4.61/1.90 % (3528678)Time elapsed: 0.099 s
% 4.61/1.90 % (3528678)Peak memory usage: 14 MB
% 4.61/1.90 % (3528678)Instructions burned: 159 (million)
% 4.61/1.90 % (3528692)ott-21_1_sil=16000:fs=off:random_seed=3898174460:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.61/1.90 % (3528688)Instruction limit reached!
% 4.61/1.90 % (3528688)------------------------------
% 4.61/1.90 % (3528688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528688)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528688)Termination reason: Instruction limit
% 4.61/1.90 % (3528688)Termination phase: Saturation
% 4.61/1.90 % (3528688)Time elapsed: 0.082 s
% 4.61/1.90 % (3528688)Peak memory usage: 13 MB
% 4.61/1.90 % (3528688)Instructions burned: 131 (million)
% 4.61/1.90 % TRYING [7]
% 4.61/1.90 % TRYING [8]
% 4.61/1.90 % (3528694)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4025236214:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.61/1.90 % (3528686)Instruction limit reached!
% 4.61/1.90 % (3528686)------------------------------
% 4.61/1.90 % (3528686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528686)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528686)Termination reason: Instruction limit
% 4.61/1.90 % (3528686)Termination phase: Finite model building constraint generation
% 4.61/1.90 % (3528686)Time elapsed: 0.163 s
% 4.61/1.90 % (3528686)Peak memory usage: 24 MB
% 4.61/1.90 % (3528686)Instructions burned: 715 (million)
% 4.61/1.90 % (3528692)Instruction limit reached!
% 4.61/1.90 % (3528692)------------------------------
% 4.61/1.90 % (3528692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528692)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528692)Termination reason: Instruction limit
% 4.61/1.90 % (3528692)Termination phase: Saturation
% 4.61/1.90 % (3528692)Time elapsed: 0.094 s
% 4.61/1.90 % (3528692)Peak memory usage: 12 MB
% 4.61/1.90 % (3528692)Instructions burned: 181 (million)
% 4.61/1.90 % (3528696)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1469741092:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.61/1.90 % TRYING [1]
% 4.61/1.90 % TRYING [2]
% 4.61/1.90 % TRYING [3]
% 4.61/1.90 % TRYING [4]
% 4.61/1.90 % TRYING [5]
% 4.61/1.90 % (3528697)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3550778728:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.61/1.90 % TRYING [6]
% 4.61/1.90 % TRYING [7]
% 4.61/1.90 % (3528696)Instruction limit reached!
% 4.61/1.90 % (3528696)------------------------------
% 4.61/1.90 % (3528696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528696)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528696)Termination reason: Instruction limit
% 4.61/1.90 % (3528696)Termination phase: Finite model building SAT solving
% 4.61/1.90 % (3528696)Time elapsed: 0.174 s
% 4.61/1.90 % (3528696)Peak memory usage: 19 MB
% 4.61/1.90 % (3528696)Instructions burned: 868 (million)
% 4.61/1.90 % (3528700)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1847232907:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.61/1.90 % TRYING [14]
% 4.61/1.90 % (3528694)Instruction limit reached!
% 4.61/1.90 % (3528694)------------------------------
% 4.61/1.90 % (3528694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528694)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528694)Termination reason: Instruction limit
% 4.61/1.90 % (3528694)Termination phase: Saturation
% 4.61/1.90 % (3528694)Time elapsed: 0.268 s
% 4.61/1.90 % (3528694)Peak memory usage: 16 MB
% 4.61/1.90 % (3528694)Instructions burned: 477 (million)
% 4.61/1.90 % (3528702)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=627596637:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 4.61/1.90 % (3528690)Instruction limit reached!
% 4.61/1.90 % (3528690)------------------------------
% 4.61/1.90 % (3528690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528690)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528690)Termination reason: Instruction limit
% 4.61/1.90 % (3528690)Termination phase: Saturation
% 4.61/1.90 % (3528690)Time elapsed: 0.378 s
% 4.61/1.90 % (3528690)Peak memory usage: 20 MB
% 4.61/1.90 % (3528690)Instructions burned: 686 (million)
% 4.61/1.90 % (3528704)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3029809046:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.61/1.90 % (3528700)Instruction limit reached!
% 4.61/1.90 % (3528700)------------------------------
% 4.61/1.90 % (3528700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528700)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528700)Termination reason: Instruction limit
% 4.61/1.90 % (3528700)Termination phase: Finite model building constraint generation
% 4.61/1.90 % (3528700)Time elapsed: 0.183 s
% 4.61/1.90 % (3528700)Peak memory usage: 80 MB
% 4.61/1.90 % (3528700)Instructions burned: 892 (million)
% 4.61/1.90 % (3528706)fmb+10_1_sil=64000:random_seed=1993396688:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 4.61/1.90 % TRYING [1]
% 4.61/1.90 % TRYING [2]
% 4.61/1.90 % TRYING [3]
% 4.61/1.90 % TRYING [4]
% 4.61/1.90 % TRYING [5]
% 4.61/1.90 % TRYING [6]
% 4.61/1.90 % TRYING [7]
% 4.61/1.90 % TRYING [8]
% 4.61/1.90 % (3528702)Instruction limit reached!
% 4.61/1.90 % (3528702)------------------------------
% 4.61/1.90 % (3528702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528702)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528702)Termination reason: Instruction limit
% 4.61/1.90 % (3528702)Termination phase: Saturation
% 4.61/1.90 % (3528702)Time elapsed: 0.407 s
% 4.61/1.90 % (3528702)Peak memory usage: 18 MB
% 4.61/1.90 % (3528702)Instructions burned: 692 (million)
% 4.61/1.90 % (3528708)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=191658438:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 4.61/1.90 % TRYING [20]
% 4.61/1.90 % (3528697)Instruction limit reached!
% 4.61/1.90 % (3528697)------------------------------
% 4.61/1.90 % (3528697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528697)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528697)Termination reason: Instruction limit
% 4.61/1.90 % (3528697)Termination phase: Saturation
% 4.61/1.90 % (3528697)Time elapsed: 0.706 s
% 4.61/1.90 % (3528697)Peak memory usage: 27 MB
% 4.61/1.90 % (3528697)Instructions burned: 1179 (million)
% 4.61/1.90 % (3528710)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3907436084:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 4.61/1.90 % TRYING [8]
% 4.61/1.90 % (3528704)Instruction limit reached!
% 4.61/1.90 % (3528704)------------------------------
% 4.61/1.90 % (3528704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528704)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528704)Termination reason: Instruction limit
% 4.61/1.90 % (3528704)Termination phase: Saturation
% 4.61/1.90 % (3528704)Time elapsed: 0.473 s
% 4.61/1.90 % (3528704)Peak memory usage: 20 MB
% 4.61/1.90 % (3528704)Instructions burned: 881 (million)
% 4.61/1.90 % (3528712)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=190323208:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 4.61/1.90 % TRYING [9]
% 4.61/1.90 % TRYING [9]
% 4.61/1.90 % (3528710)Instruction limit reached!
% 4.61/1.90 % (3528710)------------------------------
% 4.61/1.90 % (3528710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528710)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528710)Termination reason: Instruction limit
% 4.61/1.90 % (3528710)Termination phase: Finite model building constraint generation
% 4.61/1.90 % (3528710)Time elapsed: 0.450 s
% 4.61/1.90 % (3528710)Peak memory usage: 33 MB
% 4.61/1.90 % (3528710)Instructions burned: 924 (million)
% 4.61/1.90 % (3528712) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3528667-3528712"...
% 4.61/1.90 % (3528712)...printing done.
% 4.61/1.90 % (3528712)Refutation found. Thanks to Tanya!
% 4.61/1.90 % SZS status Unsatisfiable for theBenchmark
% 4.61/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 4.61/1.90 % (3528712)------------------------------
% 4.61/1.90 % (3528712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.90 % (3528712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.90 % (3528712)CaDiCaL version: 2.1.3
% 4.61/1.90 % (3528712)Termination reason: Refutation
% 4.61/1.90 % (3528712)Time elapsed: 0.429 s
% 4.61/1.90 % (3528712)Peak memory usage: 20 MB
% 4.61/1.90 % (3528712)Instructions burned: 797 (million)
% 4.61/1.90 % (3528667)Success in time 1.48 s
% 4.61/1.90 % Vampire exiting
%------------------------------------------------------------------------------