%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:54 AM UTC 2026
% Result : Unsatisfiable 7.71s 2.12s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 17
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 124 ( 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f4,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f8,axiom,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f9,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f11,axiom,
! [X0] : multiply(inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f12,plain,
! [X0] : additive_identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f15,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).
fof(f16,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id2) ).
fof(f17,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f18,axiom,
add(inverse(a),inverse(b)) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_plus_b_inverse_is_d) ).
fof(f19,negated_conjecture,
inverse(c) != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_inverse_is_d) ).
fof(f20,plain,
d != inverse(c),
inference(reorient_equations,[],[f19]) ).
fof(f62,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(superposition,[],[f3,f7]) ).
fof(f67,plain,
! [X0] : add(multiply(inverse(a),X0),inverse(b)) = multiply(d,add(X0,inverse(b))),
inference(superposition,[],[f3,f18]) ).
fof(f69,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X1)) = multiply(add(X0,inverse(X1)),multiplicative_identity),
inference(superposition,[],[f3,f7]) ).
fof(f73,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),X1) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f9]) ).
fof(f80,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f73,f13]) ).
fof(f82,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X1)) = add(X0,inverse(X1)),
inference(forward_demodulation,[],[f69,f13]) ).
fof(f84,plain,
! [X0] : multiply(d,add(X0,inverse(b))) = add(inverse(b),multiply(inverse(a),X0)),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f86,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = add(X1,inverse(X0)),
inference(forward_demodulation,[],[f62,f14]) ).
fof(f89,plain,
! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f90,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(inverse(X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f92,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f98,plain,
! [X0] : add(X0,additive_identity) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f89,f12]) ).
fof(f99,plain,
! [X0] : add(X0,inverse(X0)) = add(multiplicative_identity,X0),
inference(superposition,[],[f89,f14]) ).
fof(f107,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f99,f7]) ).
fof(f108,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f113,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f108,f15]) ).
fof(f145,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[],[f4,f7]) ).
fof(f181,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f145,f14]) ).
fof(f259,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = add(additive_identity,multiply(X1,inverse(X0))),
inference(superposition,[],[f5,f10]) ).
fof(f264,plain,
! [X0,X1] : add(additive_identity,multiply(X1,X0)) = multiply(add(inverse(X0),X1),X0),
inference(superposition,[],[f5,f12]) ).
fof(f265,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
inference(superposition,[],[f5,f14]) ).
fof(f273,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(add(X0,inverse(X1)),X1),
inference(superposition,[],[f5,f12]) ).
fof(f296,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f273,f2]) ).
fof(f300,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f265,f107]) ).
fof(f301,plain,
! [X0,X1] : add(additive_identity,multiply(X1,X0)) = multiply(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[],[f264,f2]) ).
fof(f302,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(add(X0,X1),inverse(X0)),
inference(forward_demodulation,[],[f259,f16]) ).
fof(f308,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f296,f15]) ).
fof(f310,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f300,f14]) ).
fof(f311,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[],[f301,f16]) ).
fof(f312,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(inverse(X0),add(X0,X1)),
inference(forward_demodulation,[],[f302,f2]) ).
fof(f322,plain,
b = add(b,c),
inference(superposition,[],[f310,f17]) ).
fof(f369,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[],[f6,f13]) ).
fof(f376,plain,
! [X0] : multiply(a,add(b,X0)) = add(c,multiply(a,X0)),
inference(superposition,[],[f6,f17]) ).
fof(f417,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f369,f107]) ).
fof(f422,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f417,f13]) ).
fof(f434,plain,
a = add(a,c),
inference(superposition,[],[f422,f17]) ).
fof(f462,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,X0),
inference(superposition,[],[f308,f7]) ).
fof(f468,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(inverse(inverse(X0)),X0),
inference(superposition,[],[f308,f9]) ).
fof(f492,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f468,f2]) ).
fof(f494,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f462,f13]) ).
fof(f500,plain,
! [X0] : multiply(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f492,f13]) ).
fof(f506,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f6,f494]) ).
fof(f507,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f6,f494]) ).
fof(f514,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f507,f1]) ).
fof(f515,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f506,f422]) ).
fof(f518,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[],[f514,f422]) ).
fof(f530,plain,
! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f310,f500]) ).
fof(f538,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f530,f1]) ).
fof(f545,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f538,f113]) ).
fof(f576,plain,
inverse(a) = multiply(inverse(a),d),
inference(superposition,[],[f515,f18]) ).
fof(f604,plain,
inverse(a) = multiply(d,inverse(a)),
inference(forward_demodulation,[],[f576,f2]) ).
fof(f624,plain,
inverse(b) = multiply(inverse(b),d),
inference(superposition,[],[f518,f18]) ).
fof(f627,plain,
c = multiply(c,a),
inference(superposition,[],[f518,f434]) ).
fof(f628,plain,
c = multiply(c,b),
inference(superposition,[],[f518,f322]) ).
fof(f647,plain,
c = multiply(b,c),
inference(forward_demodulation,[],[f628,f2]) ).
fof(f648,plain,
c = multiply(a,c),
inference(forward_demodulation,[],[f627,f2]) ).
fof(f649,plain,
inverse(b) = multiply(d,inverse(b)),
inference(forward_demodulation,[],[f624,f2]) ).
fof(f681,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(multiply(X1,inverse(X0)),X0),
inference(superposition,[],[f311,f310]) ).
fof(f684,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(multiply(inverse(X0),X1),X0),
inference(superposition,[],[f311,f422]) ).
fof(f716,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f684,f2]) ).
fof(f719,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f681,f2]) ).
fof(f732,plain,
! [X0,X1] : additive_identity = multiply(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f716,f10]) ).
fof(f735,plain,
! [X0,X1] : additive_identity = multiply(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f719,f10]) ).
fof(f1234,plain,
! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f732,f545]) ).
fof(f1274,plain,
! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X1,X0)),
inference(superposition,[],[f735,f545]) ).
fof(f1567,plain,
additive_identity = multiply(inverse(b),c),
inference(superposition,[],[f1234,f647]) ).
fof(f1572,plain,
additive_identity = multiply(inverse(d),inverse(a)),
inference(superposition,[],[f1234,f604]) ).
fof(f1573,plain,
additive_identity = multiply(inverse(d),inverse(b)),
inference(superposition,[],[f1234,f649]) ).
fof(f1589,plain,
additive_identity = multiply(inverse(b),inverse(d)),
inference(forward_demodulation,[],[f1573,f2]) ).
fof(f1590,plain,
additive_identity = multiply(inverse(a),inverse(d)),
inference(forward_demodulation,[],[f1572,f2]) ).
fof(f1591,plain,
additive_identity = multiply(c,inverse(b)),
inference(forward_demodulation,[],[f1567,f2]) ).
fof(f1632,plain,
add(b,additive_identity) = add(b,inverse(d)),
inference(superposition,[],[f181,f1589]) ).
fof(f1649,plain,
b = add(b,inverse(d)),
inference(forward_demodulation,[],[f1632,f15]) ).
fof(f1654,plain,
multiply(a,b) = add(c,multiply(a,inverse(d))),
inference(superposition,[],[f376,f1649]) ).
fof(f1671,plain,
c = add(c,multiply(a,inverse(d))),
inference(forward_demodulation,[],[f1654,f17]) ).
fof(f1677,plain,
add(a,additive_identity) = add(a,inverse(d)),
inference(superposition,[],[f181,f1590]) ).
fof(f1694,plain,
a = add(a,inverse(d)),
inference(forward_demodulation,[],[f1677,f15]) ).
fof(f1708,plain,
inverse(d) = multiply(inverse(d),a),
inference(superposition,[],[f518,f1694]) ).
fof(f1709,plain,
inverse(d) = multiply(a,inverse(d)),
inference(forward_demodulation,[],[f1708,f2]) ).
fof(f1761,plain,
! [X0,X1] : additive_identity = multiply(inverse(add(X1,X0)),X0),
inference(superposition,[],[f1274,f518]) ).
fof(f1829,plain,
! [X0,X1] : additive_identity = multiply(X0,inverse(add(X1,X0))),
inference(forward_demodulation,[],[f1761,f2]) ).
fof(f1929,plain,
add(a,inverse(c)) = add(inverse(c),c),
inference(superposition,[],[f90,f648]) ).
fof(f1976,plain,
add(a,inverse(c)) = add(c,inverse(c)),
inference(forward_demodulation,[],[f1929,f1]) ).
fof(f2009,plain,
multiplicative_identity = add(a,inverse(c)),
inference(forward_demodulation,[],[f1976,f7]) ).
fof(f2119,plain,
add(inverse(b),inverse(c)) = add(inverse(c),additive_identity),
inference(superposition,[],[f92,f1591]) ).
fof(f2144,plain,
inverse(c) = add(inverse(b),inverse(c)),
inference(forward_demodulation,[],[f2119,f15]) ).
fof(f3641,plain,
c = add(c,inverse(d)),
inference(forward_demodulation,[],[f1671,f1709]) ).
fof(f3652,plain,
additive_identity = multiply(inverse(d),inverse(c)),
inference(superposition,[],[f1829,f3641]) ).
fof(f3655,plain,
additive_identity = multiply(inverse(c),inverse(d)),
inference(forward_demodulation,[],[f3652,f2]) ).
fof(f3687,plain,
add(d,additive_identity) = add(inverse(c),d),
inference(superposition,[],[f89,f3655]) ).
fof(f3712,plain,
add(d,additive_identity) = add(d,inverse(c)),
inference(forward_demodulation,[],[f3687,f1]) ).
fof(f3723,plain,
d = add(d,inverse(c)),
inference(forward_demodulation,[],[f3712,f15]) ).
fof(f3738,plain,
inverse(c) = multiply(inverse(c),d),
inference(superposition,[],[f518,f3723]) ).
fof(f3744,plain,
inverse(c) = multiply(d,inverse(c)),
inference(forward_demodulation,[],[f3738,f2]) ).
fof(f4099,plain,
multiply(inverse(a),multiplicative_identity) = multiply(inverse(c),inverse(a)),
inference(superposition,[],[f312,f2009]) ).
fof(f4179,plain,
multiply(inverse(a),multiplicative_identity) = multiply(inverse(a),inverse(c)),
inference(forward_demodulation,[],[f4099,f2]) ).
fof(f4225,plain,
inverse(a) = multiply(inverse(a),inverse(c)),
inference(forward_demodulation,[],[f4179,f13]) ).
fof(f14071,plain,
add(inverse(b),inverse(a)) = multiply(d,add(inverse(c),inverse(b))),
inference(superposition,[],[f84,f4225]) ).
fof(f14192,plain,
add(inverse(b),inverse(a)) = multiply(d,add(inverse(b),inverse(c))),
inference(forward_demodulation,[],[f14071,f1]) ).
fof(f14229,plain,
add(inverse(b),inverse(a)) = multiply(d,inverse(c)),
inference(forward_demodulation,[],[f14192,f2144]) ).
fof(f14246,plain,
inverse(c) = add(inverse(b),inverse(a)),
inference(forward_demodulation,[],[f14229,f3744]) ).
fof(f14251,plain,
add(inverse(a),inverse(b)) = inverse(c),
inference(forward_demodulation,[],[f14246,f1]) ).
fof(f14252,plain,
d = inverse(c),
inference(forward_demodulation,[],[f14251,f18]) ).
fof(f14253,plain,
$false,
inference(forward_subsumption_resolution,[],[f14252,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n026.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 21:06:57 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.30 Running first-order theorem proving
% 0.25/0.30 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
% 7.71/2.12 % (75754)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.71/2.12 % (75763)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2687033338:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.71/2.12 % (75759)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=142750668:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.71/2.12 % (75761)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4034621963:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.71/2.12 % (75760)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=102462634:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.71/2.12 % (75762)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=189267026:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.71/2.12 % (75765)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2377931714:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.71/2.12 % (75764)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1366130236:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.71/2.12 % (75763)Instruction limit reached!
% 7.71/2.12 % (75763)------------------------------
% 7.71/2.12 % (75763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/2.12 % (75763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/2.12 % (75763)CaDiCaL version: 2.1.3
% 7.71/2.12 % (75763)Termination reason: Instruction limit
% 7.71/2.12 % (75763)Termination phase: Saturation
% 7.71/2.12 % (75763)Time elapsed: 0.094 s
% 7.71/2.12 % (75763)Peak memory usage: 89 MB
% 7.71/2.12 % (75763)Instructions burned: 182 (million)
% 7.71/2.12 % (75762)Instruction limit reached!
% 7.71/2.12 % (75762)------------------------------
% 7.71/2.12 % (75762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/2.12 % (75762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/2.12 % (75762)CaDiCaL version: 2.1.3
% 7.71/2.12 % (75762)Termination reason: Instruction limit
% 7.71/2.12 % (75762)Termination phase: Saturation
% 7.71/2.12 % (75762)Time elapsed: 0.141 s
% 7.71/2.12 % (75762)Peak memory usage: 88 MB
% 7.71/2.12 % (75762)Instructions burned: 136 (million)
% 7.71/2.12 % (75773)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1888060983:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 7.71/2.12 % (75764)Instruction limit reached!
% 7.71/2.12 % (75764)------------------------------
% 7.71/2.12 % (75764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/2.12 % (75764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/2.12 % (75764)CaDiCaL version: 2.1.3
% 7.71/2.12 % (75764)Termination reason: Instruction limit
% 7.71/2.12 % (75764)Termination phase: Saturation
% 7.71/2.12 % (75764)Time elapsed: 0.284 s
% 7.71/2.12 % (75764)Peak memory usage: 90 MB
% 7.71/2.12 % (75764)Instructions burned: 257 (million)
% 7.71/2.12 % (75774)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1528992037:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 7.71/2.12 % (75765)First to succeed.
% 7.71/2.12 % (75765)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-75754"
% 7.71/2.12 % (75776)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3021825038:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 7.71/2.12 % (75776)Instruction limit reached!
% 7.71/2.12 % (75776)------------------------------
% 7.71/2.12 % (75776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/2.12 % (75776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/2.12 % (75776)CaDiCaL version: 2.1.3
% 7.71/2.12 % (75776)Termination reason: Instruction limit
% 7.71/2.12 % (75776)Termination phase: Saturation
% 7.71/2.12 % (75776)Time elapsed: 0.207 s
% 7.71/2.12 % (75776)Peak memory usage: 92 MB
% 7.71/2.12 % (75776)Instructions burned: 215 (million)
% 7.71/2.12 % (75765)Refutation found. Thanks to Tanya!
% 7.71/2.12 % SZS status Unsatisfiable for theBenchmark
% 7.71/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/2.50 % (75765)------------------------------
% 0.29/2.50 % (75765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/2.50 % (75765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/2.50 % (75765)CaDiCaL version: 2.1.3
% 0.29/2.50 % (75765)Termination reason: Refutation
% 0.29/2.50 % (75765)Time elapsed: 0.384 s
% 0.29/2.50 % (75765)Peak memory usage: 92 MB
% 0.29/2.50 % (75765)Instructions burned: 414 (million)
% 0.29/2.50 % (75765)------------------------------
% 0.29/2.50 % (75765)------------------------------
% 0.29/2.50 % (75754)Success in time 1.046 s
% 0.29/2.50 % Vampire exiting
%------------------------------------------------------------------------------