%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT255-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:46:23 AM UTC 2026
% Result : Unsatisfiable 11.31s 2.55s
% Output : Refutation 12.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 72 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X2,join(X0,meet(X1,join(X0,X2)))))) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H80) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f14,plain,
a = meet(b,a),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
fof(f24,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f29,plain,
complement(a) != join(complement(a),complement(b)),
inference(superposition,[],[f16,f6]) ).
fof(f31,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f41,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f31]) ).
fof(f46,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f53,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f24,f46]) ).
fof(f55,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f46]) ).
fof(f63,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f6,f53]) ).
fof(f93,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f96,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f10,f7]) ).
fof(f103,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f105,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f131,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f105,f53]) ).
fof(f156,plain,
! [X2,X0,X1] : join(meet(X1,X2),meet(X1,X0)) = meet(X1,join(meet(X1,X2),meet(X0,join(X1,meet(X2,join(X0,X1)))))),
inference(superposition,[],[f12,f6]) ).
fof(f159,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X0))) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,meet(X1,one))))),
inference(superposition,[],[f12,f9]) ).
fof(f203,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X0))) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f159,f46]) ).
fof(f227,plain,
! [X0,X1] : meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,X1)))) = join(meet(X0,X1),zero),
inference(forward_demodulation,[],[f203,f10]) ).
fof(f245,plain,
! [X0,X1] : join(zero,meet(X0,X1)) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f227,f6]) ).
fof(f254,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f245,f41]) ).
fof(f273,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(meet(X1,X0),meet(complement(X1),join(X0,X1)))),
inference(superposition,[],[f254,f6]) ).
fof(f690,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f103,f6]) ).
fof(f695,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f103,f9]) ).
fof(f719,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f695,f63]) ).
fof(f732,plain,
! [X0,X1] : one = join(X1,complement(meet(X0,X1))),
inference(superposition,[],[f719,f5]) ).
fof(f745,plain,
one = join(b,complement(a)),
inference(superposition,[],[f719,f14]) ).
fof(f753,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,X1),meet(complement(meet(X0,X2)),join(X0,meet(X1,one))))),
inference(superposition,[],[f12,f719]) ).
fof(f766,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,X1),meet(complement(meet(X0,X2)),join(X0,X1)))),
inference(forward_demodulation,[],[f753,f46]) ).
fof(f1482,plain,
! [X0] : join(meet(complement(a),X0),meet(complement(a),b)) = meet(complement(a),join(meet(complement(a),X0),meet(b,join(complement(a),meet(X0,one))))),
inference(superposition,[],[f156,f745]) ).
fof(f1558,plain,
! [X0] : join(meet(complement(a),X0),meet(complement(a),b)) = meet(complement(a),join(meet(complement(a),X0),meet(b,join(complement(a),X0)))),
inference(forward_demodulation,[],[f1482,f46]) ).
fof(f1613,plain,
! [X0] : meet(complement(a),join(meet(complement(a),X0),meet(b,join(complement(a),X0)))) = join(meet(complement(a),X0),meet(b,complement(a))),
inference(forward_demodulation,[],[f1558,f5]) ).
fof(f1656,plain,
! [X0] : meet(complement(a),join(meet(complement(a),X0),meet(b,join(complement(a),X0)))) = join(meet(b,complement(a)),meet(complement(a),X0)),
inference(forward_demodulation,[],[f1613,f6]) ).
fof(f1758,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(meet(complement(a),complement(meet(complement(a),X0))),meet(b,one))),
inference(superposition,[],[f1656,f719]) ).
fof(f1797,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(meet(b,one),meet(complement(a),complement(meet(complement(a),X0))))),
inference(forward_demodulation,[],[f1758,f6]) ).
fof(f1832,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(meet(one,b),meet(complement(a),complement(meet(complement(a),X0))))),
inference(forward_demodulation,[],[f1797,f5]) ).
fof(f1859,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(b,meet(complement(a),complement(meet(complement(a),X0))))),
inference(forward_demodulation,[],[f1832,f55]) ).
fof(f2516,plain,
meet(complement(a),b) = meet(complement(a),join(meet(complement(a),b),meet(complement(complement(a)),one))),
inference(superposition,[],[f273,f745]) ).
fof(f2566,plain,
meet(complement(a),b) = meet(complement(a),join(meet(complement(a),b),meet(one,complement(complement(a))))),
inference(forward_demodulation,[],[f2516,f5]) ).
fof(f2611,plain,
meet(complement(a),b) = meet(complement(a),join(meet(complement(a),b),complement(complement(a)))),
inference(forward_demodulation,[],[f2566,f55]) ).
fof(f2649,plain,
meet(complement(a),b) = meet(complement(a),join(complement(complement(a)),meet(complement(a),b))),
inference(forward_demodulation,[],[f2611,f6]) ).
fof(f2674,plain,
meet(b,complement(a)) = meet(complement(a),join(complement(complement(a)),meet(b,complement(a)))),
inference(forward_demodulation,[],[f2649,f5]) ).
fof(f2737,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(meet(b,complement(a)),meet(complement(meet(complement(a),X0)),join(complement(a),join(complement(complement(a)),meet(b,complement(a))))))),
inference(superposition,[],[f766,f2674]) ).
fof(f2739,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(meet(b,complement(a)),meet(complement(meet(complement(a),X0)),one))),
inference(forward_demodulation,[],[f2737,f131]) ).
fof(f2752,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(meet(b,complement(a)),meet(one,complement(meet(complement(a),X0))))),
inference(forward_demodulation,[],[f2739,f5]) ).
fof(f2761,plain,
! [X0] : join(meet(b,complement(a)),meet(complement(a),complement(meet(complement(a),X0)))) = meet(complement(a),join(meet(b,complement(a)),complement(meet(complement(a),X0)))),
inference(forward_demodulation,[],[f2752,f55]) ).
fof(f2768,plain,
! [X0] : meet(complement(a),join(b,meet(complement(a),complement(meet(complement(a),X0))))) = meet(complement(a),join(meet(b,complement(a)),complement(meet(complement(a),X0)))),
inference(forward_demodulation,[],[f2761,f1859]) ).
fof(f2876,plain,
meet(complement(a),one) = meet(complement(a),join(b,meet(complement(a),complement(meet(complement(a),meet(b,complement(a))))))),
inference(superposition,[],[f2768,f732]) ).
fof(f2909,plain,
meet(complement(a),one) = meet(complement(a),join(b,meet(complement(a),complement(meet(b,meet(complement(a),complement(a))))))),
inference(forward_demodulation,[],[f2876,f93]) ).
fof(f2925,plain,
meet(complement(a),one) = meet(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f2909,f1]) ).
fof(f2941,plain,
meet(one,complement(a)) = meet(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f2925,f5]) ).
fof(f2957,plain,
complement(a) = meet(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f2941,f55]) ).
fof(f3375,plain,
join(b,meet(complement(a),complement(meet(b,complement(a))))) = join(join(b,meet(complement(a),complement(meet(b,complement(a))))),complement(a)),
inference(superposition,[],[f24,f2957]) ).
fof(f3393,plain,
join(b,meet(complement(a),complement(meet(b,complement(a))))) = join(complement(a),join(b,meet(complement(a),complement(meet(b,complement(a)))))),
inference(forward_demodulation,[],[f3375,f6]) ).
fof(f3406,plain,
join(complement(a),b) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3393,f690]) ).
fof(f3417,plain,
join(b,complement(a)) = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3406,f6]) ).
fof(f3424,plain,
one = join(b,meet(complement(a),complement(meet(b,complement(a))))),
inference(forward_demodulation,[],[f3417,f745]) ).
fof(f3438,plain,
complement(b) = meet(complement(a),complement(meet(b,complement(a)))),
inference(unit_resulting_resolution,[],[f11,f96,f3424]) ).
fof(f3506,plain,
complement(a) = join(complement(a),complement(b)),
inference(superposition,[],[f4,f3438]) ).
fof(f3529,plain,
$false,
inference(forward_subsumption_resolution,[],[f3506,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT255-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:11:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.31/2.55 % (3562131)Input is clausal, will run a generic CNF schedule.
% 11.31/2.55 % (3562156)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2923542952:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.31/2.55 % (3562155)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3845538250:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.31/2.55 % (3562154)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=640287604:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.31/2.55 % (3562160)dis-21_1_sil=8000:lcm=predicate:random_seed=37459710:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.31/2.55 % (3562157)lrs+10_1_sil=8000:sp=occurrence:random_seed=2262530271:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.31/2.55 % (3562159)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2005886054:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.31/2.55 % (3562158)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=489976137:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.31/2.55 % (3562160)Refutation not found, incomplete strategy
% 11.31/2.55 % (3562160)------------------------------
% 11.31/2.55 % (3562160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562160)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562160)Termination reason: Refutation not found, incomplete strategy
% 11.31/2.55 % (3562160)Time elapsed: 0.003 s
% 11.31/2.55 % (3562160)Peak memory usage: 88 MB
% 11.31/2.55 % (3562160)Instructions burned: 1 (million)
% 11.31/2.55 % (3562158)Instruction limit reached!
% 11.31/2.55 % (3562158)------------------------------
% 11.31/2.55 % (3562158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562158)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562158)Termination reason: Instruction limit
% 11.31/2.55 % (3562158)Termination phase: Saturation
% 11.31/2.55 % (3562158)Time elapsed: 0.104 s
% 11.31/2.55 % (3562158)Peak memory usage: 89 MB
% 11.31/2.55 % (3562158)Instructions burned: 115 (million)
% 11.31/2.55 % (3562157)Instruction limit reached!
% 11.31/2.55 % (3562157)------------------------------
% 11.31/2.55 % (3562157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562157)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562157)Termination reason: Instruction limit
% 11.31/2.55 % (3562157)Termination phase: Saturation
% 11.31/2.55 % (3562157)Time elapsed: 0.108 s
% 11.31/2.55 % (3562157)Peak memory usage: 89 MB
% 11.31/2.55 % (3562157)Instructions burned: 108 (million)
% 11.31/2.55 % (3562159)Instruction limit reached!
% 11.31/2.55 % (3562159)------------------------------
% 11.31/2.55 % (3562159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562159)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562159)Termination reason: Instruction limit
% 11.31/2.55 % (3562159)Termination phase: Saturation
% 11.31/2.55 % (3562159)Time elapsed: 0.169 s
% 11.31/2.55 % (3562159)Peak memory usage: 90 MB
% 11.31/2.55 % (3562159)Instructions burned: 180 (million)
% 11.31/2.55 % (3562174)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3671601201:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.31/2.55 % (3562173)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2141676752:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 11.31/2.55 % (3562173)Instruction limit reached!
% 11.31/2.55 % (3562173)------------------------------
% 11.31/2.55 % (3562173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562173)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562173)Termination reason: Instruction limit
% 11.31/2.55 % (3562173)Termination phase: Saturation
% 11.31/2.55 % (3562173)Time elapsed: 0.072 s
% 11.31/2.55 % (3562173)Peak memory usage: 89 MB
% 11.31/2.55 % (3562173)Instructions burned: 144 (million)
% 11.31/2.55 % (3562176)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1213192494:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.31/2.55 % (3562160)------------------------------
% 11.31/2.55 % (3562160)------------------------------
% 11.31/2.55 % (3562174)Instruction limit reached!
% 11.31/2.55 % (3562174)------------------------------
% 11.31/2.55 % (3562174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562174)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562174)Termination reason: Instruction limit
% 11.31/2.55 % (3562174)Termination phase: Saturation
% 11.31/2.55 % (3562174)Time elapsed: 0.181 s
% 11.31/2.55 % (3562174)Peak memory usage: 91 MB
% 11.31/2.55 % (3562174)Instructions burned: 189 (million)
% 11.31/2.55 % (3562176)Instruction limit reached!
% 11.31/2.55 % (3562176)------------------------------
% 11.31/2.55 % (3562176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562176)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562176)Termination reason: Instruction limit
% 11.31/2.55 % (3562176)Termination phase: Saturation
% 11.31/2.55 % (3562176)Time elapsed: 0.164 s
% 11.31/2.55 % (3562176)Peak memory usage: 90 MB
% 11.31/2.55 % (3562176)Instructions burned: 220 (million)
% 11.31/2.55 % (3562183)lrs+10_64_to=lpo:sil=8000:random_seed=1441106816:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 11.31/2.55 % (3562185)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3178327286:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 11.31/2.55 % (3562183)Instruction limit reached!
% 11.31/2.55 % (3562183)------------------------------
% 11.31/2.55 % (3562183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562183)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562183)Termination reason: Instruction limit
% 11.31/2.55 % (3562183)Termination phase: Saturation
% 11.31/2.55 % (3562183)Time elapsed: 0.066 s
% 11.31/2.55 % (3562183)Peak memory usage: 88 MB
% 11.31/2.55 % (3562183)Instructions burned: 127 (million)
% 11.31/2.55 % (3562186)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4270259705:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 11.31/2.55 % (3562191)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2475930650:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 11.31/2.55 % (3562186)Instruction limit reached!
% 11.31/2.55 % (3562186)------------------------------
% 11.31/2.55 % (3562186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562186)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562186)Termination reason: Instruction limit
% 11.31/2.55 % (3562186)Termination phase: Saturation
% 11.31/2.55 % (3562186)Time elapsed: 0.136 s
% 11.31/2.55 % (3562186)Peak memory usage: 90 MB
% 11.31/2.55 % (3562186)Instructions burned: 157 (million)
% 11.31/2.55 % (3562193)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3994820080:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 11.31/2.55 % (3562185)Instruction limit reached!
% 11.31/2.55 % (3562185)------------------------------
% 11.31/2.55 % (3562185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562185)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562185)Termination reason: Instruction limit
% 11.31/2.55 % (3562185)Termination phase: Saturation
% 11.31/2.55 % (3562185)Time elapsed: 0.191 s
% 11.31/2.55 % (3562185)Peak memory usage: 90 MB
% 11.31/2.55 % (3562185)Instructions burned: 194 (million)
% 11.31/2.55 % (3562193)Instruction limit reached!
% 11.31/2.55 % (3562193)------------------------------
% 11.31/2.55 % (3562193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562193)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562193)Termination reason: Instruction limit
% 11.31/2.55 % (3562193)Termination phase: Saturation
% 11.31/2.55 % (3562193)Time elapsed: 0.061 s
% 11.31/2.55 % (3562193)Peak memory usage: 89 MB
% 11.31/2.55 % (3562193)Instructions burned: 107 (million)
% 11.31/2.55 % (3562199)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=219945871:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 11.31/2.55 % (3562203)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2905247555:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 11.31/2.55 % (3562202)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3345143612:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 11.31/2.55 % (3562199)Instruction limit reached!
% 11.31/2.55 % (3562199)------------------------------
% 11.31/2.55 % (3562199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562199)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562199)Termination reason: Instruction limit
% 11.31/2.55 % (3562199)Termination phase: Saturation
% 11.31/2.55 % (3562199)Time elapsed: 0.078 s
% 11.31/2.55 % (3562199)Peak memory usage: 89 MB
% 11.31/2.55 % (3562199)Instructions burned: 108 (million)
% 11.31/2.55 % (3562202)Instruction limit reached!
% 11.31/2.55 % (3562202)------------------------------
% 11.31/2.55 % (3562202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562202)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562202)Termination reason: Instruction limit
% 11.31/2.55 % (3562202)Termination phase: Saturation
% 11.31/2.55 % (3562202)Time elapsed: 0.140 s
% 11.31/2.55 % (3562202)Peak memory usage: 90 MB
% 11.31/2.55 % (3562202)Instructions burned: 242 (million)
% 11.31/2.55 % (3562209)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2246930864:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 11.31/2.55 % (3562155)First to succeed.
% 11.31/2.55 % (3562155)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3562131"
% 11.31/2.55 % (3562210)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1126210807:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 11.31/2.55 % (3562209)Instruction limit reached!
% 11.31/2.55 % (3562209)------------------------------
% 11.31/2.55 % (3562209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.55 % (3562209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.55 % (3562209)CaDiCaL version: 2.1.3
% 11.31/2.55 % (3562209)Termination reason: Instruction limit
% 11.31/2.55 % (3562209)Termination phase: Saturation
% 11.31/2.55 % (3562209)Time elapsed: 0.081 s
% 11.31/2.55 % (3562209)Peak memory usage: 90 MB
% 11.31/2.55 % (3562209)Instructions burned: 134 (million)
% 11.31/2.55 % (3562214)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1521891040:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 11.31/2.55 % (3562155)Refutation found. Thanks to Tanya!
% 11.31/2.55 % SZS status Unsatisfiable for theBenchmark
% 11.31/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.10/2.65 % (3562155)------------------------------
% 12.10/2.65 % (3562155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/2.65 % (3562155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.65 % (3562155)CaDiCaL version: 2.1.3
% 12.10/2.65 % (3562155)Termination reason: Refutation
% 12.10/2.65 % (3562155)Time elapsed: 1.197 s
% 12.10/2.65 % (3562155)Peak memory usage: 132 MB
% 12.10/2.65 % (3562155)Instructions burned: 1343 (million)
% 12.10/2.65 % (3562155)------------------------------
% 12.10/2.65 % (3562155)------------------------------
% 12.10/2.65 % (3562131)Success in time 1.637 s
% 12.10/2.65 % Vampire exiting
%------------------------------------------------------------------------------