%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL113-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:51:15 AM UTC 2026
% Result : Unsatisfiable 16.98s 3.26s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 7
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 189 ( 189 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f3,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).
fof(f5,plain,
! [X0,X1] : true = is_a_theorem(implies(X0,implies(X1,X0))),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).
fof(f7,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).
fof(f9,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).
fof(f11,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
is_a_theorem(implies(implies(not(a),b),implies(not(b),a))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_33) ).
fof(f13,plain,
true != is_a_theorem(implies(implies(not(a),b),implies(not(b),a))),
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X1)),true,is_a_theorem(implies(implies(X1,X0),X0)),true),true),
inference(superposition,[],[f3,f9]) ).
fof(f15,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true),
inference(superposition,[],[f3,f7]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true),
inference(superposition,[],[f3,f7]) ).
fof(f28,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3)),true,is_a_theorem(X3),true),
inference(forward_demodulation,[],[f19,f1]) ).
fof(f32,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),
inference(forward_demodulation,[],[f15,f1]) ).
fof(f33,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),X1)),true,is_a_theorem(implies(implies(X1,X0),X0)),true),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),true),
inference(superposition,[],[f32,f7]) ).
fof(f45,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),true),
inference(superposition,[],[f32,f5]) ).
fof(f51,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f53,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f58,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),true),
inference(superposition,[],[f3,f53]) ).
fof(f62,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f66,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X3,implies(X0,X1)),implies(implies(X2,X0),implies(X3,implies(X2,X1))))),true),
inference(superposition,[],[f62,f53]) ).
fof(f76,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(X3,implies(X0,X1)),implies(implies(X2,X0),implies(X3,implies(X2,X1))))),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f142,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true),true),
inference(superposition,[],[f3,f51]) ).
fof(f152,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true),
inference(forward_demodulation,[],[f142,f1]) ).
fof(f155,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X0),X0))),true),
inference(superposition,[],[f152,f9]) ).
fof(f161,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(X1),implies(X1,X0))),true),
inference(superposition,[],[f152,f11]) ).
fof(f177,plain,
! [X0,X1] : true = is_a_theorem(implies(not(X1),implies(X1,X0))),
inference(forward_demodulation,[],[f161,f1]) ).
fof(f183,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(implies(X1,X0),X0))),
inference(forward_demodulation,[],[f155,f1]) ).
fof(f345,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))),true),true),
inference(superposition,[],[f3,f76]) ).
fof(f359,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))),true),
inference(forward_demodulation,[],[f345,f1]) ).
fof(f374,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),true),
inference(superposition,[],[f359,f183]) ).
fof(f394,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f374,f1]) ).
fof(f414,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(X1,implies(X0,X2))),true),true),
inference(superposition,[],[f3,f394]) ).
fof(f428,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(X1,implies(X0,X2))),true),
inference(forward_demodulation,[],[f414,f1]) ).
fof(f431,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(not(X0),not(X1)),X0))),true),
inference(superposition,[],[f428,f11]) ).
fof(f444,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X0,X0))),true),
inference(superposition,[],[f428,f5]) ).
fof(f472,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(X0,X0))),
inference(forward_demodulation,[],[f444,f1]) ).
fof(f485,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(implies(not(X0),not(X1)),X0))),
inference(forward_demodulation,[],[f431,f1]) ).
fof(f521,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f32,f472]) ).
fof(f544,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f521,f1]) ).
fof(f1270,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(implies(implies(X0,X0),X1),X1))),true),
inference(superposition,[],[f428,f544]) ).
fof(f1296,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(implies(implies(X0,X0),X1),X1))),
inference(forward_demodulation,[],[f1270,f1]) ).
fof(f1984,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X3,implies(implies(X1,X1),X2)),implies(X0,implies(X3,X2)))),true),
inference(superposition,[],[f359,f1296]) ).
fof(f2030,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(X3,implies(implies(X1,X1),X2)),implies(X0,implies(X3,X2)))),
inference(forward_demodulation,[],[f1984,f1]) ).
fof(f2047,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(implies(X1,X1),X2))),true,is_a_theorem(implies(X3,implies(X0,X2))),true),true),
inference(superposition,[],[f3,f2030]) ).
fof(f2070,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(implies(X1,X1),X2))),true,is_a_theorem(implies(X3,implies(X0,X2))),true),
inference(forward_demodulation,[],[f2047,f1]) ).
fof(f2490,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(not(X1),not(X0))),implies(X0,implies(X2,X1)))),true),
inference(superposition,[],[f359,f485]) ).
fof(f2530,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(not(X1),not(X0))),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f2490,f1]) ).
fof(f3049,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(not(X1),not(X2)))),true,is_a_theorem(implies(X2,implies(X0,X1))),true),true),
inference(superposition,[],[f3,f2530]) ).
fof(f3080,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(not(X1),not(X2)))),true,is_a_theorem(implies(X2,implies(X0,X1))),true),
inference(forward_demodulation,[],[f3049,f1]) ).
fof(f3102,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(not(not(X0)),X0))),true),
inference(superposition,[],[f3080,f177]) ).
fof(f3173,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(not(not(X0)),X0))),
inference(forward_demodulation,[],[f3102,f1]) ).
fof(f3228,plain,
! [X3] : true = ifeq(true,true,is_a_theorem(implies(not(not(X3)),X3)),true),
inference(superposition,[],[f28,f3173]) ).
fof(f3236,plain,
! [X3] : true = is_a_theorem(implies(not(not(X3)),X3)),
inference(forward_demodulation,[],[f3228,f1]) ).
fof(f3260,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1))),true),
inference(superposition,[],[f32,f3236]) ).
fof(f3290,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1))),
inference(forward_demodulation,[],[f3260,f1]) ).
fof(f3302,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X0,not(X1)),not(X0)))),true),
inference(superposition,[],[f3080,f3290]) ).
fof(f3342,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(implies(X0,not(X1)),not(X0)))),
inference(forward_demodulation,[],[f3302,f1]) ).
fof(f3391,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X0,not(not(X0))))),true),
inference(superposition,[],[f2070,f3342]) ).
fof(f3445,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(X0,not(not(X0))))),
inference(forward_demodulation,[],[f3391,f1]) ).
fof(f3519,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,not(not(X1))),X0),X0)),true),
inference(superposition,[],[f33,f3445]) ).
fof(f3552,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(implies(X1,not(not(X1))),X0),X0)),
inference(forward_demodulation,[],[f3519,f1]) ).
fof(f3586,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X1,X0),implies(X1,not(not(X0))))),true),
inference(superposition,[],[f62,f3552]) ).
fof(f3613,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X1,X0),implies(X1,not(not(X0))))),
inference(forward_demodulation,[],[f3586,f1]) ).
fof(f3627,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(X1),implies(implies(not(X0),X1),X0))),true),
inference(superposition,[],[f3080,f3613]) ).
fof(f3681,plain,
! [X0,X1] : true = is_a_theorem(implies(not(X1),implies(implies(not(X0),X1),X0))),
inference(forward_demodulation,[],[f3627,f1]) ).
fof(f3684,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X1),X0),implies(not(X0),X1))),true),
inference(superposition,[],[f428,f3681]) ).
fof(f3711,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(not(X1),X0),implies(not(X0),X1))),
inference(forward_demodulation,[],[f3684,f1]) ).
fof(f3715,plain,
true != true,
inference(superposition,[],[f13,f3711]) ).
fof(f3744,plain,
$false,
inference(trivial_inequality_removal,[],[f3715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL113-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n004.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 15:22:22 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 Running first-order theorem proving
% 0.22/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.98/3.26 % (3658151)Detected a unit-equality problem, will run specialized UEQ schedule.
% 16.98/3.26 % (3658162)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3505874154:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 16.98/3.26 % (3658160)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1376495932:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 16.98/3.26 % (3658156)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3891186534:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 16.98/3.26 % (3658158)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1944895361:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 16.98/3.26 % (3658159)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3530116365:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 16.98/3.26 % (3658161)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2695710799:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 16.98/3.26 % (3658157)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2823113395:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 16.98/3.26 % (3658159)Instruction limit reached!
% 16.98/3.26 % (3658159)------------------------------
% 16.98/3.26 % (3658159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.98/3.26 % (3658159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/3.26 % (3658159)CaDiCaL version: 2.1.3
% 16.98/3.26 % (3658159)Termination reason: Instruction limit
% 16.98/3.26 % (3658159)Termination phase: Saturation
% 16.98/3.26 % (3658159)Time elapsed: 0.136 s
% 16.98/3.26 % (3658159)Peak memory usage: 89 MB
% 16.98/3.26 % (3658159)Instructions burned: 136 (million)
% 16.98/3.26 % (3658160)Instruction limit reached!
% 16.98/3.26 % (3658160)------------------------------
% 16.98/3.26 % (3658160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.98/3.26 % (3658160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/3.26 % (3658160)CaDiCaL version: 2.1.3
% 16.98/3.26 % (3658160)Termination reason: Instruction limit
% 16.98/3.26 % (3658160)Termination phase: Saturation
% 16.98/3.26 % (3658160)Time elapsed: 0.177 s
% 16.98/3.26 % (3658160)Peak memory usage: 90 MB
% 16.98/3.26 % (3658160)Instructions burned: 181 (million)
% 16.98/3.26 % (3658161)Instruction limit reached!
% 16.98/3.26 % (3658161)------------------------------
% 16.98/3.26 % (3658161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.98/3.26 % (3658161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/3.26 % (3658161)CaDiCaL version: 2.1.3
% 16.98/3.26 % (3658161)Termination reason: Instruction limit
% 16.98/3.26 % (3658161)Termination phase: Saturation
% 16.98/3.26 % (3658161)Time elapsed: 0.265 s
% 16.98/3.26 % (3658161)Peak memory usage: 91 MB
% 16.98/3.26 % (3658161)Instructions burned: 257 (million)
% 16.98/3.26 % (3658170)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1659256296:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 16.98/3.26 % (3658171)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3267451239:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 16.98/3.26 % (3658172)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3475877775:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 16.98/3.26 % (3658162)Instruction limit reached!
% 16.98/3.26 % (3658162)------------------------------
% 16.98/3.26 % (3658162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.98/3.26 % (3658162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/3.26 % (3658162)CaDiCaL version: 2.1.3
% 16.98/3.26 % (3658162)Termination reason: Instruction limit
% 16.98/3.26 % (3658162)Termination phase: Saturation
% 16.98/3.26 % (3658162)Time elapsed: 0.584 s
% 16.98/3.26 % (3658162)Peak memory usage: 99 MB
% 16.98/3.26 % (3658162)Instructions burned: 1189 (million)
% 16.98/3.26 % (3658172)Instruction limit reached!
% 16.98/3.26 % (3658172)------------------------------
% 16.98/3.26 % (3658172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.98/3.26 % (3658172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/3.26 % (3658172)CaDiCaL version: 2.1.3
% 16.98/3.26 % (3658172)Termination reason: Instruction limit
% 16.98/3.26 % (3658172)Termination phase: Saturation
% 16.98/3.26 % (3658172)Time elapsed: 0.178 s
% 16.98/3.26 % (3658172)Peak memory usage: 88 MB
% 16.98/3.26 % (3658172)Instructions burned: 216 (million)
% 16.98/3.26 % (3658176)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=4054360153:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 16.98/3.26 % (3658177)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2689460523:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 16.98/3.26 % (3658176)Instruction limit reached!
% 16.98/3.26 % (3658176)------------------------------
% 16.98/3.26 % (3658176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.98/3.26 % (3658176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/3.26 % (3658176)CaDiCaL version: 2.1.3
% 16.98/3.26 % (3658176)Termination reason: Instruction limit
% 16.98/3.26 % (3658176)Termination phase: Saturation
% 16.98/3.26 % (3658176)Time elapsed: 0.316 s
% 16.98/3.26 % (3658176)Peak memory usage: 93 MB
% 16.98/3.26 % (3658176)Instructions burned: 317 (million)
% 16.98/3.26 % (3658182)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3310235046:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 16.98/3.26 % (3658157)First to succeed.
% 16.98/3.26 % (3658157)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3658151"
% 16.98/3.26 % (3658157)Refutation found. Thanks to Tanya!
% 16.98/3.26 % SZS status Unsatisfiable for theBenchmark
% 16.98/3.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/3.50 % (3658157)------------------------------
% 0.23/3.50 % (3658157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/3.50 % (3658157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/3.50 % (3658157)CaDiCaL version: 2.1.3
% 0.23/3.50 % (3658157)Termination reason: Refutation
% 0.23/3.50 % (3658157)Time elapsed: 1.700 s
% 0.23/3.50 % (3658157)Peak memory usage: 134 MB
% 0.23/3.50 % (3658157)Instructions burned: 1561 (million)
% 0.23/3.50 % (3658157)------------------------------
% 0.23/3.50 % (3658157)------------------------------
% 0.23/3.50 % (3658151)Success in time 2.406 s
% 0.23/3.50 % Vampire exiting
%------------------------------------------------------------------------------