%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP002-10 : 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 : n011.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 10:12:04 AM UTC 2026
% Result : Unsatisfiable 9.54s 2.32s
% Output : Refutation 11.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 16
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-4 aty)
% Number of variables : 144 ( 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0] : product(identity,X0,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f4,axiom,
! [X0] : product(X0,identity,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f5,plain,
! [X0] : true = product(X0,identity,X0),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0] : product(inverse(X0),X0,identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f7,plain,
! [X0] : true = product(inverse(X0),X0,identity),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0] : product(X0,inverse(X0),identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f9,plain,
! [X0] : true = product(X0,inverse(X0),identity),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f11,plain,
! [X0,X1] : true = product(X0,X1,multiply(X0,X1)),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(product(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X2,X4),true,ifeq(product(X3,X0,X5),true,product(X5,X1,X4),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X2,X4),true,ifeq(product(X3,X0,X5),true,product(X5,X1,X4),true),true),true),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
! [X0,X1] : ifeq(product(X0,X0,X1),true,product(X1,X0,identity),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_cubed_is_identity_2) ).
fof(f20,plain,
! [X0,X1] : true = ifeq(product(X0,X0,X1),true,product(X1,X0,identity),true),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
product(a,b,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f22,plain,
true = product(a,b,c),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
product(c,inverse(a),d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_times_inverse_a_is_d) ).
fof(f24,plain,
true = product(c,inverse(a),d),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
product(d,inverse(b),h) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_times_inverse_b_is_h) ).
fof(f26,plain,
true = product(d,inverse(b),h),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
product(h,b,j) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_times_b_is_j) ).
fof(f28,plain,
true = product(h,b,j),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
product(j,inverse(h),k) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',j_times_inverse_h_is_k) ).
fof(f30,plain,
true = product(j,inverse(h),k),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
product(k,inverse(b),identity) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_k_times_inverse_b_is_e) ).
fof(f32,plain,
true != product(k,inverse(b),identity),
inference(reorient_equations,[],[f31]) ).
fof(f49,plain,
! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(true,true,multiply(X0,X1),X2),X2) = X2,
inference(superposition,[],[f12,f11]) ).
fof(f50,plain,
! [X2,X0,X1] : multiply(X0,X1) = ifeq2(true,true,ifeq2(product(X0,X1,X2),true,X2,multiply(X0,X1)),multiply(X0,X1)),
inference(superposition,[],[f12,f11]) ).
fof(f51,plain,
! [X0] : true = ifeq(true,true,product(multiply(X0,X0),X0,identity),true),
inference(superposition,[],[f20,f11]) ).
fof(f54,plain,
! [X0] : true = product(multiply(X0,X0),X0,identity),
inference(forward_demodulation,[],[f51,f2]) ).
fof(f55,plain,
! [X2,X0,X1] : multiply(X0,X1) = ifeq2(product(X0,X1,X2),true,X2,multiply(X0,X1)),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f56,plain,
! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,multiply(X0,X1),X2) = X2,
inference(forward_demodulation,[],[f49,f1]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X2,X4),true,ifeq(true,true,product(multiply(X3,X0),X1,X4),true),true),true),
inference(superposition,[],[f16,f11]) ).
fof(f122,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X2,X4),true,product(multiply(X3,X0),X1,X4),true),true),
inference(forward_demodulation,[],[f110,f2]) ).
fof(f211,plain,
! [X0] : multiply(X0,identity) = ifeq2(true,true,X0,multiply(X0,identity)),
inference(superposition,[],[f55,f5]) ).
fof(f212,plain,
! [X0] : multiply(inverse(X0),X0) = ifeq2(true,true,identity,multiply(inverse(X0),X0)),
inference(superposition,[],[f55,f7]) ).
fof(f213,plain,
! [X0] : multiply(X0,inverse(X0)) = ifeq2(true,true,identity,multiply(X0,inverse(X0))),
inference(superposition,[],[f55,f9]) ).
fof(f215,plain,
multiply(a,b) = ifeq2(true,true,c,multiply(a,b)),
inference(superposition,[],[f55,f22]) ).
fof(f216,plain,
multiply(c,inverse(a)) = ifeq2(true,true,d,multiply(c,inverse(a))),
inference(superposition,[],[f55,f24]) ).
fof(f217,plain,
multiply(d,inverse(b)) = ifeq2(true,true,h,multiply(d,inverse(b))),
inference(superposition,[],[f55,f26]) ).
fof(f218,plain,
multiply(h,b) = ifeq2(true,true,j,multiply(h,b)),
inference(superposition,[],[f55,f28]) ).
fof(f219,plain,
multiply(j,inverse(h)) = ifeq2(true,true,k,multiply(j,inverse(h))),
inference(superposition,[],[f55,f30]) ).
fof(f221,plain,
k = multiply(j,inverse(h)),
inference(forward_demodulation,[],[f219,f1]) ).
fof(f222,plain,
j = multiply(h,b),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f223,plain,
h = multiply(d,inverse(b)),
inference(forward_demodulation,[],[f217,f1]) ).
fof(f224,plain,
d = multiply(c,inverse(a)),
inference(forward_demodulation,[],[f216,f1]) ).
fof(f225,plain,
c = multiply(a,b),
inference(forward_demodulation,[],[f215,f1]) ).
fof(f226,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f213,f1]) ).
fof(f227,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f228,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f211,f1]) ).
fof(f263,plain,
! [X0] : multiply(identity,X0) = ifeq2(true,true,X0,multiply(identity,X0)),
inference(superposition,[],[f55,f3]) ).
fof(f266,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f263,f1]) ).
fof(f361,plain,
! [X0] : identity = ifeq2(true,true,multiply(multiply(X0,X0),X0),identity),
inference(superposition,[],[f56,f54]) ).
fof(f362,plain,
! [X0] : identity = multiply(multiply(X0,X0),X0),
inference(forward_demodulation,[],[f361,f1]) ).
fof(f420,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,product(multiply(X3,X0),X1,multiply(X3,X2)),true),true),
inference(superposition,[],[f122,f11]) ).
fof(f448,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,product(multiply(X3,X0),X1,multiply(X3,X2)),true),
inference(forward_demodulation,[],[f420,f2]) ).
fof(f471,plain,
! [X0,X1] : true = ifeq(true,true,product(multiply(X1,inverse(X0)),X0,multiply(X1,identity)),true),
inference(superposition,[],[f448,f7]) ).
fof(f475,plain,
! [X2,X0,X1] : true = ifeq(true,true,product(multiply(X2,X0),X1,multiply(X2,multiply(X0,X1))),true),
inference(superposition,[],[f448,f11]) ).
fof(f513,plain,
! [X2,X0,X1] : true = product(multiply(X2,X0),X1,multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f475,f2]) ).
fof(f517,plain,
! [X0,X1] : true = product(multiply(X1,inverse(X0)),X0,multiply(X1,identity)),
inference(forward_demodulation,[],[f471,f2]) ).
fof(f523,plain,
! [X0,X1] : true = product(multiply(X1,inverse(X0)),X0,X1),
inference(forward_demodulation,[],[f517,f228]) ).
fof(f545,plain,
! [X0,X1] : ifeq2(true,true,multiply(multiply(X0,inverse(X1)),X1),X0) = X0,
inference(superposition,[],[f56,f523]) ).
fof(f556,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[],[f545,f1]) ).
fof(f570,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f556,f227]) ).
fof(f571,plain,
! [X0] : multiply(identity,X0) = multiply(inverse(X0),inverse(X0)),
inference(superposition,[],[f556,f362]) ).
fof(f574,plain,
d = multiply(h,b),
inference(superposition,[],[f556,f223]) ).
fof(f587,plain,
! [X0] : multiply(inverse(X0),inverse(X0)) = X0,
inference(forward_demodulation,[],[f571,f266]) ).
fof(f588,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f570,f266]) ).
fof(f591,plain,
! [X0] : inverse(X0) = multiply(X0,X0),
inference(superposition,[],[f556,f587]) ).
fof(f631,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(superposition,[],[f556,f588]) ).
fof(f721,plain,
d = j,
inference(superposition,[],[f222,f574]) ).
fof(f730,plain,
k = multiply(d,inverse(h)),
inference(superposition,[],[f221,f721]) ).
fof(f887,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = ifeq2(true,true,multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X2))),
inference(superposition,[],[f56,f513]) ).
fof(f896,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f887,f1]) ).
fof(f926,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(X0,multiply(X0,X1)),
inference(superposition,[],[f896,f591]) ).
fof(f928,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f896,f226]) ).
fof(f932,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f896,f227]) ).
fof(f933,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(X0),multiply(inverse(X0),X1)),
inference(superposition,[],[f896,f587]) ).
fof(f941,plain,
! [X0] : multiply(d,X0) = multiply(h,multiply(b,X0)),
inference(superposition,[],[f896,f574]) ).
fof(f994,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f932,f266]) ).
fof(f997,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f928,f266]) ).
fof(f1021,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f994,f556]) ).
fof(f1023,plain,
b = multiply(inverse(a),c),
inference(superposition,[],[f994,f225]) ).
fof(f1024,plain,
inverse(a) = multiply(inverse(c),d),
inference(superposition,[],[f994,f224]) ).
fof(f1086,plain,
multiply(inverse(c),inverse(a)) = multiply(c,d),
inference(superposition,[],[f926,f224]) ).
fof(f1539,plain,
inverse(a) = multiply(b,inverse(c)),
inference(superposition,[],[f631,f1023]) ).
fof(f1540,plain,
inverse(c) = multiply(inverse(a),inverse(d)),
inference(superposition,[],[f631,f1024]) ).
fof(f1583,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f994,f631]) ).
fof(f1656,plain,
multiply(d,inverse(c)) = multiply(h,inverse(a)),
inference(superposition,[],[f941,f1539]) ).
fof(f1671,plain,
inverse(c) = multiply(inverse(b),inverse(a)),
inference(superposition,[],[f994,f1539]) ).
fof(f1677,plain,
inverse(b) = multiply(inverse(c),a),
inference(superposition,[],[f556,f1671]) ).
fof(f1729,plain,
! [X0] : multiply(inverse(b),X0) = multiply(inverse(c),multiply(a,X0)),
inference(superposition,[],[f896,f1677]) ).
fof(f1789,plain,
inverse(d) = multiply(a,inverse(c)),
inference(superposition,[],[f997,f1540]) ).
fof(f1811,plain,
a = multiply(inverse(d),c),
inference(superposition,[],[f556,f1789]) ).
fof(f1830,plain,
multiply(d,c) = multiply(inverse(d),a),
inference(superposition,[],[f933,f1811]) ).
fof(f1841,plain,
! [X0] : multiply(a,X0) = multiply(inverse(d),multiply(c,X0)),
inference(superposition,[],[f896,f1811]) ).
fof(f1859,plain,
! [X0] : multiply(inverse(d),multiply(a,X0)) = multiply(multiply(d,c),X0),
inference(superposition,[],[f896,f1830]) ).
fof(f1864,plain,
! [X0] : multiply(inverse(d),multiply(a,X0)) = multiply(d,multiply(c,X0)),
inference(forward_demodulation,[],[f1859,f896]) ).
fof(f1917,plain,
multiply(a,c) = multiply(inverse(d),inverse(c)),
inference(superposition,[],[f1841,f591]) ).
fof(f1924,plain,
! [X0] : multiply(c,X0) = multiply(d,multiply(a,X0)),
inference(superposition,[],[f997,f1841]) ).
fof(f1955,plain,
multiply(d,c) = multiply(c,b),
inference(superposition,[],[f1924,f225]) ).
fof(f2025,plain,
! [X0] : multiply(d,multiply(c,X0)) = multiply(multiply(c,b),X0),
inference(superposition,[],[f896,f1955]) ).
fof(f2030,plain,
! [X0] : multiply(d,multiply(c,X0)) = multiply(c,multiply(b,X0)),
inference(forward_demodulation,[],[f2025,f896]) ).
fof(f2034,plain,
multiply(d,inverse(c)) = multiply(inverse(d),multiply(a,c)),
inference(superposition,[],[f933,f1917]) ).
fof(f2057,plain,
multiply(d,inverse(c)) = multiply(d,multiply(c,c)),
inference(forward_demodulation,[],[f2034,f1864]) ).
fof(f2063,plain,
multiply(d,inverse(c)) = multiply(c,multiply(b,c)),
inference(forward_demodulation,[],[f2057,f2030]) ).
fof(f2066,plain,
multiply(h,inverse(a)) = multiply(c,multiply(b,c)),
inference(forward_demodulation,[],[f2063,f1656]) ).
fof(f2271,plain,
multiply(inverse(c),inverse(a)) = multiply(inverse(b),a),
inference(superposition,[],[f1729,f591]) ).
fof(f2306,plain,
multiply(c,d) = multiply(inverse(b),a),
inference(forward_demodulation,[],[f2271,f1086]) ).
fof(f2327,plain,
! [X0] : multiply(inverse(b),multiply(a,X0)) = multiply(multiply(c,d),X0),
inference(superposition,[],[f896,f2306]) ).
fof(f2332,plain,
! [X0] : multiply(inverse(b),multiply(a,X0)) = multiply(c,multiply(d,X0)),
inference(forward_demodulation,[],[f2327,f896]) ).
fof(f2596,plain,
! [X0,X1] : multiply(multiply(X1,X0),X1) = multiply(inverse(multiply(X1,X0)),inverse(X0)),
inference(superposition,[],[f933,f1583]) ).
fof(f2606,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f631,f1583]) ).
fof(f2620,plain,
! [X0,X1] : multiply(multiply(X1,X0),X1) = inverse(multiply(X0,multiply(X1,X0))),
inference(forward_demodulation,[],[f2596,f2606]) ).
fof(f2679,plain,
! [X0,X1] : multiply(X1,multiply(X0,X1)) = inverse(multiply(X0,multiply(X1,X0))),
inference(forward_demodulation,[],[f2620,f896]) ).
fof(f3996,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(superposition,[],[f631,f1021]) ).
fof(f4673,plain,
multiply(b,c) = multiply(inverse(c),multiply(h,inverse(a))),
inference(superposition,[],[f994,f2066]) ).
fof(f4752,plain,
inverse(multiply(h,inverse(a))) = multiply(inverse(multiply(b,c)),inverse(c)),
inference(superposition,[],[f1583,f4673]) ).
fof(f4753,plain,
inverse(multiply(h,inverse(a))) = inverse(multiply(c,multiply(b,c))),
inference(forward_demodulation,[],[f4752,f2606]) ).
fof(f4764,plain,
inverse(multiply(h,inverse(a))) = multiply(b,multiply(c,b)),
inference(forward_demodulation,[],[f4753,f2679]) ).
fof(f4770,plain,
multiply(b,multiply(c,b)) = multiply(a,inverse(h)),
inference(forward_demodulation,[],[f4764,f3996]) ).
fof(f4789,plain,
multiply(c,b) = multiply(inverse(b),multiply(a,inverse(h))),
inference(superposition,[],[f994,f4770]) ).
fof(f4792,plain,
multiply(c,b) = multiply(c,multiply(d,inverse(h))),
inference(forward_demodulation,[],[f4789,f2332]) ).
fof(f4799,plain,
multiply(c,b) = multiply(c,k),
inference(forward_demodulation,[],[f4792,f730]) ).
fof(f4824,plain,
k = multiply(inverse(c),multiply(c,b)),
inference(superposition,[],[f994,f4799]) ).
fof(f4827,plain,
b = k,
inference(forward_demodulation,[],[f4824,f994]) ).
fof(f4838,plain,
true != product(b,inverse(b),identity),
inference(superposition,[],[f32,f4827]) ).
fof(f4870,plain,
$false,
inference(forward_subsumption_resolution,[],[f4838,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP002-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 09:12:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 9.54/2.32 % (2132830)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.54/2.32 % (2132858)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1102574597:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.54/2.32 % (2132855)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=3934067626:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.54/2.32 % (2132857)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=768877713:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.54/2.32 % (2132856)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=3582855220:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.54/2.32 % (2132860)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2203156844:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.54/2.32 % (2132858)Instruction limit reached!
% 9.54/2.32 % (2132858)------------------------------
% 9.54/2.32 % (2132858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.32 % (2132858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.32 % (2132858)CaDiCaL version: 2.1.3
% 9.54/2.32 % (2132858)Termination reason: Instruction limit
% 9.54/2.32 % (2132858)Termination phase: Saturation
% 9.54/2.32 % (2132858)Time elapsed: 0.046 s
% 9.54/2.32 % (2132858)Peak memory usage: 89 MB
% 9.54/2.32 % (2132858)Instructions burned: 138 (million)
% 9.54/2.32 % (2132861)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1058522954:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.54/2.32 % (2132859)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1136356327:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.54/2.32 % (2132860)Instruction limit reached!
% 9.54/2.32 % (2132860)------------------------------
% 9.54/2.32 % (2132860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.32 % (2132860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.32 % (2132860)CaDiCaL version: 2.1.3
% 9.54/2.32 % (2132860)Termination reason: Instruction limit
% 9.54/2.32 % (2132860)Termination phase: Saturation
% 9.54/2.32 % (2132860)Time elapsed: 0.097 s
% 9.54/2.32 % (2132860)Peak memory usage: 91 MB
% 9.54/2.32 % (2132860)Instructions burned: 259 (million)
% 9.54/2.32 % (2132859)Instruction limit reached!
% 9.54/2.32 % (2132859)------------------------------
% 9.54/2.32 % (2132859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.32 % (2132859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.32 % (2132859)CaDiCaL version: 2.1.3
% 9.54/2.32 % (2132859)Termination reason: Instruction limit
% 9.54/2.32 % (2132859)Termination phase: Saturation
% 9.54/2.32 % (2132859)Time elapsed: 0.106 s
% 9.54/2.32 % (2132859)Peak memory usage: 89 MB
% 9.54/2.32 % (2132859)Instructions burned: 182 (million)
% 9.54/2.32 % (2132869)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2198848555:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 9.54/2.32 % (2132870)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1867834709:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.54/2.32 % (2132871)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=64896233:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 9.54/2.32 % (2132871)Instruction limit reached!
% 9.54/2.32 % (2132871)------------------------------
% 9.54/2.32 % (2132871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.32 % (2132871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.32 % (2132871)CaDiCaL version: 2.1.3
% 9.54/2.32 % (2132871)Termination reason: Instruction limit
% 9.54/2.32 % (2132871)Termination phase: Saturation
% 9.54/2.32 % (2132871)Time elapsed: 0.104 s
% 9.54/2.32 % (2132871)Peak memory usage: 91 MB
% 9.54/2.32 % (2132871)Instructions burned: 215 (million)
% 9.54/2.32 % (2132875)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=855366907:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 9.54/2.32 % (2132861)Instruction limit reached!
% 9.54/2.32 % (2132861)------------------------------
% 9.54/2.32 % (2132861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.32 % (2132861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.32 % (2132861)CaDiCaL version: 2.1.3
% 9.54/2.32 % (2132861)Termination reason: Instruction limit
% 9.54/2.32 % (2132861)Termination phase: Saturation
% 9.54/2.32 % (2132861)Time elapsed: 0.617 s
% 9.54/2.32 % (2132861)Peak memory usage: 100 MB
% 9.54/2.32 % (2132861)Instructions burned: 1188 (million)
% 9.54/2.32 % (2132875)Instruction limit reached!
% 9.54/2.32 % (2132875)------------------------------
% 9.54/2.32 % (2132875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.32 % (2132875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.32 % (2132875)CaDiCaL version: 2.1.3
% 9.54/2.32 % (2132875)Termination reason: Instruction limit
% 9.54/2.32 % (2132875)Termination phase: Saturation
% 9.54/2.32 % (2132875)Time elapsed: 0.179 s
% 9.54/2.32 % (2132875)Peak memory usage: 94 MB
% 9.54/2.32 % (2132875)Instructions burned: 317 (million)
% 9.54/2.32 % (2132877)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=656247876:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 9.54/2.32 % (2132878)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2180037475:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 9.54/2.32 % (2132870)First to succeed.
% 9.54/2.32 % (2132870)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2132830"
% 9.54/2.32 % (2132870)Refutation found. Thanks to Tanya!
% 9.54/2.32 % SZS status Unsatisfiable for theBenchmark
% 9.54/2.32 % SZS output start Proof for theBenchmark
% See solution above
% 11.11/2.52 % (2132870)------------------------------
% 11.11/2.52 % (2132870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.11/2.52 % (2132870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.52 % (2132870)CaDiCaL version: 2.1.3
% 11.11/2.52 % (2132870)Termination reason: Refutation
% 11.11/2.52 % (2132870)Time elapsed: 0.891 s
% 11.11/2.52 % (2132870)Peak memory usage: 136 MB
% 11.11/2.52 % (2132870)Instructions burned: 1773 (million)
% 11.11/2.52 % (2132870)------------------------------
% 11.11/2.52 % (2132870)------------------------------
% 11.11/2.52 % (2132830)Success in time 1.478 s
% 11.11/2.52 % Vampire exiting
%------------------------------------------------------------------------------