%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:51:01 AM UTC 2026
% Result : Unsatisfiable 8.47s 3.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 6
% 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 : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 203 ( 203 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/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/sandbox/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,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f5,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f7,plain,
! [X0] : true = is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f9,plain,
! [X0,X1] : true = is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_21) ).
fof(f11,plain,
true != is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
inference(reorient_equations,[],[f10]) ).
fof(f12,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,f5]) ).
fof(f15,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,f5]) ).
fof(f16,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(superposition,[],[f3,f9]) ).
fof(f22,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[],[f16,f1]) ).
fof(f23,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,[],[f15,f1]) ).
fof(f26,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,[],[f12,f1]) ).
fof(f27,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,[],[f23,f5]) ).
fof(f34,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,[],[f27,f1]) ).
fof(f35,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,f34]) ).
fof(f42,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,[],[f35,f1]) ).
fof(f44,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,[],[f42,f34]) ).
fof(f53,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,[],[f44,f1]) ).
fof(f55,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,f53]) ).
fof(f65,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,[],[f55,f1]) ).
fof(f69,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,not(X0)),implies(X0,implies(X2,X1)))),true),
inference(superposition,[],[f65,f9]) ).
fof(f79,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,not(X0)),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f86,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f26,f9]) ).
fof(f87,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),true),
inference(superposition,[],[f26,f7]) ).
fof(f94,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(forward_demodulation,[],[f87,f1]) ).
fof(f95,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f101,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(not(X0),X0)),implies(implies(X0,X1),implies(X2,X1)))),true),
inference(superposition,[],[f65,f94]) ).
fof(f109,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(superposition,[],[f3,f94]) ).
fof(f110,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f115,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(not(X0),X0)),implies(implies(X0,X1),implies(X2,X1)))),
inference(forward_demodulation,[],[f101,f1]) ).
fof(f121,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(not(X1),X1))),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true),
inference(superposition,[],[f3,f115]) ).
fof(f129,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,implies(not(X1),X1))),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),
inference(forward_demodulation,[],[f121,f1]) ).
fof(f172,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),true),
inference(superposition,[],[f3,f95]) ).
fof(f182,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f279,plain,
! [X0] : true = ifeq(true,true,is_a_theorem(implies(X0,X0)),true),
inference(superposition,[],[f182,f7]) ).
fof(f292,plain,
! [X0] : true = is_a_theorem(implies(X0,X0)),
inference(forward_demodulation,[],[f279,f1]) ).
fof(f318,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,ifeq(true,true,is_a_theorem(X1),true),true),
inference(superposition,[],[f3,f292]) ).
fof(f319,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,is_a_theorem(X1),true),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f383,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),true),
inference(superposition,[],[f182,f79]) ).
fof(f392,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(forward_demodulation,[],[f383,f1]) ).
fof(f405,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(not(implies(X0,X0)),X2))),true),
inference(superposition,[],[f319,f392]) ).
fof(f425,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X1,implies(not(implies(X0,X0)),X2))),
inference(forward_demodulation,[],[f405,f1]) ).
fof(f452,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f129,f425]) ).
fof(f485,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f452,f1]) ).
fof(f501,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(not(X0),X0),X0))),true),
inference(superposition,[],[f110,f485]) ).
fof(f518,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(implies(not(X0),X0),X0))),
inference(forward_demodulation,[],[f501,f1]) ).
fof(f597,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(not(X1),X1)),implies(X0,implies(X2,X1)))),true),
inference(superposition,[],[f65,f518]) ).
fof(f626,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(not(X1),X1)),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f597,f1]) ).
fof(f642,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X1),X0),implies(X2,implies(implies(X0,X1),X1)))),true),
inference(superposition,[],[f42,f626]) ).
fof(f652,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(not(X1),X0),implies(X2,implies(implies(X0,X1),X1)))),
inference(forward_demodulation,[],[f642,f1]) ).
fof(f1186,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(X2,implies(implies(X1,X0),X0)))),true),
inference(superposition,[],[f182,f652]) ).
fof(f1199,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X0,implies(X2,implies(implies(X1,X0),X0)))),
inference(forward_demodulation,[],[f1186,f1]) ).
fof(f1208,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X0),X0),X2),implies(X0,X2))),true),
inference(superposition,[],[f129,f1199]) ).
fof(f1244,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X1,X0),X0),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f1208,f1]) ).
fof(f1265,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X1,implies(X2,X1)))),true),
inference(superposition,[],[f42,f1244]) ).
fof(f1275,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X1,implies(X2,X1)))),
inference(forward_demodulation,[],[f1265,f1]) ).
fof(f1299,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X0,X1))),true),
inference(superposition,[],[f22,f1275]) ).
fof(f1318,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(X0,X1))),
inference(forward_demodulation,[],[f1299,f1]) ).
fof(f1335,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),true),
inference(superposition,[],[f26,f1318]) ).
fof(f1360,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f1335,f1]) ).
fof(f1530,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,f1360]) ).
fof(f1549,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,[],[f1530,f1]) ).
fof(f1718,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X0),X0)))),true),
inference(superposition,[],[f1549,f652]) ).
fof(f1830,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X0),X0)))),
inference(forward_demodulation,[],[f1718,f1]) ).
fof(f1842,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f129,f1830]) ).
fof(f1881,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f1842,f1]) ).
fof(f1904,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,[],[f42,f1881]) ).
fof(f1914,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(forward_demodulation,[],[f1904,f1]) ).
fof(f1928,plain,
true != true,
inference(superposition,[],[f11,f1914]) ).
fof(f1958,plain,
$false,
inference(trivial_inequality_removal,[],[f1928]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:19:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 8.47/3.32 % (1364641)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.47/3.32 % (1364651)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2699001818:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.47/3.32 % (1364648)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2500715652:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.47/3.32 % (1364649)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3018072642:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.47/3.32 % (1364646)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=2834749844:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.47/3.32 % (1364650)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3242423033:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.47/3.32 % (1364647)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=1741994427:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.47/3.32 % (1364652)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4060951026:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.47/3.32 % (1364651)Instruction limit reached!
% 8.47/3.32 % (1364651)------------------------------
% 8.47/3.32 % (1364651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/3.32 % (1364651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.32 % (1364651)CaDiCaL version: 2.1.3
% 8.47/3.32 % (1364651)Termination reason: Instruction limit
% 8.47/3.32 % (1364651)Termination phase: Saturation
% 8.47/3.32 % (1364651)Time elapsed: 0.136 s
% 8.47/3.32 % (1364651)Peak memory usage: 91 MB
% 8.47/3.32 % (1364651)Instructions burned: 257 (million)
% 8.47/3.32 % (1364649)Instruction limit reached!
% 8.47/3.32 % (1364649)------------------------------
% 8.47/3.32 % (1364649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/3.32 % (1364649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.32 % (1364649)CaDiCaL version: 2.1.3
% 8.47/3.32 % (1364649)Termination reason: Instruction limit
% 8.47/3.32 % (1364649)Termination phase: Saturation
% 8.47/3.32 % (1364649)Time elapsed: 0.135 s
% 8.47/3.32 % (1364649)Peak memory usage: 89 MB
% 8.47/3.32 % (1364649)Instructions burned: 136 (million)
% 8.47/3.32 % (1364650)Instruction limit reached!
% 8.47/3.32 % (1364650)------------------------------
% 8.47/3.32 % (1364650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/3.32 % (1364650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.32 % (1364650)CaDiCaL version: 2.1.3
% 8.47/3.32 % (1364650)Termination reason: Instruction limit
% 8.47/3.32 % (1364650)Termination phase: Saturation
% 8.47/3.32 % (1364650)Time elapsed: 0.175 s
% 8.47/3.32 % (1364650)Peak memory usage: 90 MB
% 8.47/3.32 % (1364650)Instructions burned: 181 (million)
% 8.47/3.32 % (1364660)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3004871220:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 8.47/3.32 % (1364661)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2395339370:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 8.47/3.32 % (1364662)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=743222443:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 8.47/3.32 % (1364662)Instruction limit reached!
% 8.47/3.32 % (1364662)------------------------------
% 8.47/3.32 % (1364662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/3.32 % (1364662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.32 % (1364662)CaDiCaL version: 2.1.3
% 8.47/3.32 % (1364662)Termination reason: Instruction limit
% 8.47/3.32 % (1364662)Termination phase: Saturation
% 8.47/3.32 % (1364662)Time elapsed: 0.185 s
% 8.47/3.32 % (1364662)Peak memory usage: 88 MB
% 8.47/3.32 % (1364662)Instructions burned: 216 (million)
% 8.47/3.32 % (1364666)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=1592813203:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 8.47/3.32 % (1364652)Instruction limit reached!
% 8.47/3.32 % (1364652)------------------------------
% 8.47/3.32 % (1364652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/3.32 % (1364652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.32 % (1364652)CaDiCaL version: 2.1.3
% 8.47/3.32 % (1364652)Termination reason: Instruction limit
% 8.47/3.32 % (1364652)Termination phase: Saturation
% 8.47/3.32 % (1364652)Time elapsed: 1.108 s
% 8.47/3.32 % (1364652)Peak memory usage: 98 MB
% 8.47/3.32 % (1364652)Instructions burned: 1188 (million)
% 8.47/3.32 % (1364666)Instruction limit reached!
% 8.47/3.32 % (1364666)------------------------------
% 8.47/3.32 % (1364666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/3.32 % (1364666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.32 % (1364666)CaDiCaL version: 2.1.3
% 8.47/3.32 % (1364666)Termination reason: Instruction limit
% 8.47/3.32 % (1364666)Termination phase: Saturation
% 8.47/3.32 % (1364666)Time elapsed: 0.292 s
% 8.47/3.32 % (1364666)Peak memory usage: 93 MB
% 8.47/3.32 % (1364666)Instructions burned: 318 (million)
% 8.47/3.32 % (1364647)First to succeed.
% 8.47/3.32 % (1364647)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1364641"
% 8.47/3.32 % (1364668)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=1747178586:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 8.47/3.32 % (1364660)Also succeeded, but the first one will report.
% 8.47/3.32 % (1364669)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2926449239:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 8.47/3.32 % (1364648)Also succeeded, but the first one will report.
% 8.47/3.32 % (1364647)Refutation found. Thanks to Tanya!
% 8.47/3.32 % SZS status Unsatisfiable for theBenchmark
% 8.47/3.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.71 % (1364647)------------------------------
% 0.16/3.71 % (1364647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.71 % (1364647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.71 % (1364647)CaDiCaL version: 2.1.3
% 0.16/3.71 % (1364647)Termination reason: Refutation
% 0.16/3.71 % (1364647)Time elapsed: 1.390 s
% 0.16/3.71 % (1364647)Peak memory usage: 132 MB
% 0.16/3.71 % (1364647)Instructions burned: 1309 (million)
% 0.16/3.71 % (1364647)------------------------------
% 0.16/3.71 % (1364647)------------------------------
% 0.16/3.71 % (1364641)Success in time 2.14 s
% 0.16/3.71 % Vampire exiting
%------------------------------------------------------------------------------