%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO015-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:35:53 AM UTC 2026
% Result : Unsatisfiable 23.52s 3.90s
% Output : Refutation 23.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 20
% Syntax : Number of formulae : 216 ( 216 unt; 0 def)
% Number of atoms : 216 ( 215 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 347 ( 347 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f4,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f5,plain,
! [X0,X1] : true = product(X0,X1,multiply(X0,X1)),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f7,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X0,X1] : ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f9,plain,
! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true),
inference(reorient_equations,[],[f8]) ).
fof(f12,axiom,
! [X0] : sum(X0,additive_identity,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f13,plain,
! [X0] : true = sum(X0,additive_identity,X0),
inference(reorient_equations,[],[f12]) ).
fof(f16,axiom,
! [X0] : product(X0,multiplicative_identity,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f17,plain,
! [X0] : true = product(X0,multiplicative_identity,X0),
inference(reorient_equations,[],[f16]) ).
fof(f22,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X1,X6),true,ifeq(sum(X5,X3,X0),true,sum(X6,X4,X2),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f23,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X1,X6),true,ifeq(sum(X5,X3,X0),true,sum(X6,X4,X2),true),true),true),true),
inference(reorient_equations,[],[f22]) ).
fof(f26,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X5,X4),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity5) ).
fof(f27,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X5,X4),true),true),true),true),
inference(reorient_equations,[],[f26]) ).
fof(f32,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X3,X4,X5),true,ifeq(sum(X4,X6,X1),true,ifeq(sum(X3,X6,X0),true,sum(X5,X6,X2),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity8) ).
fof(f33,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X4,X5),true,ifeq(sum(X4,X6,X1),true,ifeq(sum(X3,X6,X0),true,sum(X5,X6,X2),true),true),true),true),
inference(reorient_equations,[],[f32]) ).
fof(f34,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f35,plain,
! [X0] : true = sum(inverse(X0),X0,multiplicative_identity),
inference(reorient_equations,[],[f34]) ).
fof(f36,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f37,plain,
! [X0] : true = sum(X0,inverse(X0),multiplicative_identity),
inference(reorient_equations,[],[f36]) ).
fof(f38,axiom,
! [X0] : product(inverse(X0),X0,additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f39,plain,
! [X0] : true = product(inverse(X0),X0,additive_identity),
inference(reorient_equations,[],[f38]) ).
fof(f40,axiom,
! [X0] : product(X0,inverse(X0),additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f41,plain,
! [X0] : true = product(X0,inverse(X0),additive_identity),
inference(reorient_equations,[],[f40]) ).
fof(f42,axiom,
! [X2,X3,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(sum(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f43,axiom,
! [X2,X3,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(product(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f44,negated_conjecture,
product(x,y,x_times_y) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_times_y) ).
fof(f45,plain,
true = product(x,y,x_times_y),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
sum(inverse(x),inverse(y),x_inverse_plus_y_inverse) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_inverse_plus_y_inverse) ).
fof(f47,plain,
true = sum(inverse(x),inverse(y),x_inverse_plus_y_inverse),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
inverse(x_times_y) != x_inverse_plus_y_inverse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f49,plain,
x_inverse_plus_y_inverse != inverse(x_times_y),
inference(reorient_equations,[],[f48]) ).
fof(f51,plain,
! [X2,X0,X1] : add(X0,X1) = ifeq2(true,true,ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),add(X0,X1)),
inference(superposition,[],[f42,f3]) ).
fof(f53,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
inference(superposition,[],[f42,f3]) ).
fof(f54,plain,
! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
inference(forward_demodulation,[],[f53,f1]) ).
fof(f56,plain,
! [X2,X0,X1] : add(X0,X1) = ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f74,plain,
! [X0,X1] : true = ifeq(true,true,product(X1,X0,multiply(X0,X1)),true),
inference(superposition,[],[f9,f5]) ).
fof(f75,plain,
! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(true,true,multiply(X0,X1),X2),X2) = X2,
inference(superposition,[],[f43,f5]) ).
fof(f78,plain,
! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,multiply(X0,X1),X2) = X2,
inference(forward_demodulation,[],[f75,f1]) ).
fof(f79,plain,
! [X0,X1] : true = product(X1,X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f74,f2]) ).
fof(f81,plain,
! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
inference(superposition,[],[f7,f3]) ).
fof(f84,plain,
! [X0,X1] : true = sum(X1,X0,add(X0,X1)),
inference(forward_demodulation,[],[f81,f2]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(sum(X4,X5,X1),true,ifeq(sum(X3,X5,X0),true,sum(multiply(X3,X4),X5,X2),true),true),true),true),
inference(superposition,[],[f33,f5]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X4,X5,X1),true,ifeq(sum(X3,X5,X0),true,sum(multiply(X3,X4),X5,X2),true),true),true),
inference(forward_demodulation,[],[f192,f2]) ).
fof(f252,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(true,true,product(add(X3,X0),X5,X4),true),true),true),true),
inference(superposition,[],[f27,f3]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(add(X3,X0),X5,X4),true),true),true),
inference(forward_demodulation,[],[f252,f2]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(true,true,ifeq(sum(X5,X3,X0),true,sum(multiply(X5,X1),X4,X2),true),true),true),true),
inference(superposition,[],[f23,f5]) ).
fof(f367,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(sum(X5,X3,X0),true,sum(multiply(X5,X1),X4,X2),true),true),true),
inference(forward_demodulation,[],[f344,f2]) ).
fof(f578,plain,
x_times_y = ifeq2(true,true,multiply(x,y),x_times_y),
inference(superposition,[],[f78,f45]) ).
fof(f581,plain,
! [X0,X1] : multiply(X1,X0) = ifeq2(true,true,multiply(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f78,f79]) ).
fof(f582,plain,
! [X0] : additive_identity = ifeq2(true,true,multiply(inverse(X0),X0),additive_identity),
inference(superposition,[],[f78,f39]) ).
fof(f583,plain,
! [X0] : additive_identity = ifeq2(true,true,multiply(X0,inverse(X0)),additive_identity),
inference(superposition,[],[f78,f41]) ).
fof(f585,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f583,f1]) ).
fof(f586,plain,
! [X0] : additive_identity = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f582,f1]) ).
fof(f587,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f581,f1]) ).
fof(f589,plain,
x_times_y = multiply(x,y),
inference(forward_demodulation,[],[f578,f1]) ).
fof(f610,plain,
x_inverse_plus_y_inverse = ifeq2(true,true,add(inverse(x),inverse(y)),x_inverse_plus_y_inverse),
inference(superposition,[],[f54,f47]) ).
fof(f614,plain,
! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
inference(superposition,[],[f54,f84]) ).
fof(f615,plain,
! [X0] : multiplicative_identity = ifeq2(true,true,add(X0,inverse(X0)),multiplicative_identity),
inference(superposition,[],[f54,f37]) ).
fof(f617,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(forward_demodulation,[],[f615,f1]) ).
fof(f618,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(forward_demodulation,[],[f614,f1]) ).
fof(f621,plain,
x_inverse_plus_y_inverse = add(inverse(x),inverse(y)),
inference(forward_demodulation,[],[f610,f1]) ).
fof(f704,plain,
! [X0] : add(X0,additive_identity) = ifeq2(true,true,X0,add(X0,additive_identity)),
inference(superposition,[],[f56,f13]) ).
fof(f705,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(forward_demodulation,[],[f704,f1]) ).
fof(f731,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f618,f705]) ).
fof(f792,plain,
! [X0] : ifeq2(true,true,multiply(X0,multiplicative_identity),X0) = X0,
inference(superposition,[],[f78,f17]) ).
fof(f793,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(forward_demodulation,[],[f792,f1]) ).
fof(f820,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f587,f793]) ).
fof(f836,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(sum(X2,X3,X1),true,ifeq(sum(X4,X3,X0),true,sum(multiply(X4,X2),X3,multiply(X0,X1)),true),true),true),
inference(superposition,[],[f225,f5]) ).
fof(f888,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(sum(X2,X3,X1),true,ifeq(sum(X4,X3,X0),true,sum(multiply(X4,X2),X3,multiply(X0,X1)),true),true),
inference(forward_demodulation,[],[f836,f2]) ).
fof(f900,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(X0,X1,X2),true,ifeq(true,true,sum(multiply(X3,X0),X1,multiply(add(X3,X1),X2)),true),true),
inference(superposition,[],[f888,f3]) ).
fof(f927,plain,
! [X2,X3,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(multiply(X3,X0),X1,multiply(add(X3,X1),X2)),true),
inference(forward_demodulation,[],[f900,f2]) ).
fof(f948,plain,
! [X0,X1] : true = ifeq(true,true,sum(multiply(X1,inverse(X0)),X0,multiply(add(X1,X0),multiplicative_identity)),true),
inference(superposition,[],[f927,f35]) ).
fof(f949,plain,
! [X2,X0,X1] : true = ifeq(true,true,sum(multiply(X2,X0),X1,multiply(add(X2,X1),add(X0,X1))),true),
inference(superposition,[],[f927,f3]) ).
fof(f980,plain,
! [X2,X0,X1] : true = sum(multiply(X2,X0),X1,multiply(add(X2,X1),add(X0,X1))),
inference(forward_demodulation,[],[f949,f2]) ).
fof(f981,plain,
! [X0,X1] : true = sum(multiply(X1,inverse(X0)),X0,multiply(add(X1,X0),multiplicative_identity)),
inference(forward_demodulation,[],[f948,f2]) ).
fof(f986,plain,
! [X0,X1] : true = sum(multiply(X1,inverse(X0)),X0,multiply(multiplicative_identity,add(X1,X0))),
inference(forward_demodulation,[],[f981,f587]) ).
fof(f990,plain,
! [X0,X1] : true = sum(multiply(X1,inverse(X0)),X0,add(X1,X0)),
inference(forward_demodulation,[],[f986,f820]) ).
fof(f1029,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),X1) = ifeq2(true,true,add(X0,X1),add(multiply(X0,inverse(X1)),X1)),
inference(superposition,[],[f56,f990]) ).
fof(f1040,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f1029,f1]) ).
fof(f1064,plain,
! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f1040,f618]) ).
fof(f1069,plain,
! [X0] : add(X0,X0) = add(X0,additive_identity),
inference(superposition,[],[f1064,f585]) ).
fof(f1072,plain,
! [X0] : add(X0,inverse(X0)) = add(multiplicative_identity,X0),
inference(superposition,[],[f1064,f820]) ).
fof(f1073,plain,
! [X0] : add(X0,additive_identity) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f1064,f586]) ).
fof(f1084,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f1073,f618]) ).
fof(f1085,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f1072,f617]) ).
fof(f1086,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f1069,f705]) ).
fof(f1090,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f1084,f705]) ).
fof(f1166,plain,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = ifeq2(true,true,multiply(add(X0,X2),add(X1,X2)),add(multiply(X0,X1),X2)),
inference(superposition,[],[f56,f980]) ).
fof(f1177,plain,
! [X2,X0,X1] : multiply(add(X0,X2),add(X1,X2)) = add(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f1166,f1]) ).
fof(f1237,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f1177,f1086]) ).
fof(f1242,plain,
! [X0,X1] : multiply(multiplicative_identity,add(X1,inverse(X0))) = add(multiply(X0,X1),inverse(X0)),
inference(superposition,[],[f1177,f617]) ).
fof(f1244,plain,
! [X0] : multiply(x_inverse_plus_y_inverse,add(X0,inverse(y))) = add(multiply(inverse(x),X0),inverse(y)),
inference(superposition,[],[f1177,f621]) ).
fof(f1248,plain,
! [X2,X0,X1] : multiply(add(X2,X0),add(X0,X1)) = add(multiply(X2,X1),X0),
inference(superposition,[],[f1177,f618]) ).
fof(f1254,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(multiply(X1,additive_identity),X0),
inference(superposition,[],[f1177,f731]) ).
fof(f1271,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X1,additive_identity),X0),
inference(forward_demodulation,[],[f1254,f587]) ).
fof(f1278,plain,
! [X0] : multiply(x_inverse_plus_y_inverse,add(X0,inverse(y))) = add(inverse(y),multiply(inverse(x),X0)),
inference(forward_demodulation,[],[f1244,f618]) ).
fof(f1280,plain,
! [X0,X1] : multiply(multiplicative_identity,add(X1,inverse(X0))) = add(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f1242,f618]) ).
fof(f1282,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f1237,f618]) ).
fof(f1289,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f1280,f820]) ).
fof(f1292,plain,
multiply(x_inverse_plus_y_inverse,add(x,inverse(y))) = add(inverse(y),additive_identity),
inference(superposition,[],[f1278,f586]) ).
fof(f1295,plain,
add(inverse(y),additive_identity) = multiply(x_inverse_plus_y_inverse,add(inverse(inverse(x)),inverse(y))),
inference(superposition,[],[f1278,f585]) ).
fof(f1314,plain,
add(inverse(y),additive_identity) = multiply(x_inverse_plus_y_inverse,add(inverse(y),inverse(inverse(x)))),
inference(forward_demodulation,[],[f1295,f618]) ).
fof(f1315,plain,
multiply(x_inverse_plus_y_inverse,add(x,inverse(y))) = add(additive_identity,inverse(y)),
inference(forward_demodulation,[],[f1292,f618]) ).
fof(f1319,plain,
multiply(x_inverse_plus_y_inverse,add(inverse(y),inverse(inverse(x)))) = add(additive_identity,inverse(y)),
inference(forward_demodulation,[],[f1314,f618]) ).
fof(f1320,plain,
inverse(y) = multiply(x_inverse_plus_y_inverse,add(x,inverse(y))),
inference(forward_demodulation,[],[f1315,f731]) ).
fof(f1324,plain,
inverse(y) = multiply(x_inverse_plus_y_inverse,add(inverse(y),inverse(inverse(x)))),
inference(forward_demodulation,[],[f1319,f731]) ).
fof(f1357,plain,
! [X0] : add(X0,inverse(inverse(X0))) = add(inverse(inverse(X0)),additive_identity),
inference(superposition,[],[f1289,f586]) ).
fof(f1359,plain,
add(add(inverse(y),inverse(inverse(x))),inverse(x_inverse_plus_y_inverse)) = add(inverse(x_inverse_plus_y_inverse),inverse(y)),
inference(superposition,[],[f1289,f1324]) ).
fof(f1360,plain,
add(inverse(x_inverse_plus_y_inverse),inverse(y)) = add(add(x,inverse(y)),inverse(x_inverse_plus_y_inverse)),
inference(superposition,[],[f1289,f1320]) ).
fof(f1378,plain,
add(inverse(x_inverse_plus_y_inverse),inverse(y)) = add(inverse(x_inverse_plus_y_inverse),add(x,inverse(y))),
inference(forward_demodulation,[],[f1360,f618]) ).
fof(f1379,plain,
add(add(inverse(y),inverse(inverse(x))),inverse(x_inverse_plus_y_inverse)) = add(inverse(y),inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f1359,f618]) ).
fof(f1381,plain,
! [X0] : add(X0,inverse(inverse(X0))) = add(additive_identity,inverse(inverse(X0))),
inference(forward_demodulation,[],[f1357,f618]) ).
fof(f1388,plain,
add(inverse(x_inverse_plus_y_inverse),add(x,inverse(y))) = add(inverse(y),inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f1378,f618]) ).
fof(f1389,plain,
add(inverse(y),inverse(x_inverse_plus_y_inverse)) = add(inverse(x_inverse_plus_y_inverse),add(inverse(y),inverse(inverse(x)))),
inference(forward_demodulation,[],[f1379,f618]) ).
fof(f1390,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f1381,f731]) ).
fof(f1393,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1390,f1090]) ).
fof(f4279,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(true,true,product(add(X3,X0),add(X3,X1),X4),true),true),true),
inference(superposition,[],[f263,f3]) ).
fof(f4336,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,product(add(X3,X0),add(X3,X1),X4),true),true),
inference(forward_demodulation,[],[f4279,f2]) ).
fof(f4386,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,product(add(X3,X0),add(X3,X1),add(X3,X2)),true),true),
inference(superposition,[],[f4336,f3]) ).
fof(f4469,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,product(add(X3,X0),add(X3,X1),add(X3,X2)),true),
inference(forward_demodulation,[],[f4386,f2]) ).
fof(f4494,plain,
! [X2,X0,X1] : true = ifeq(true,true,product(add(X2,X0),add(X2,X1),add(X2,multiply(X0,X1))),true),
inference(superposition,[],[f4469,f5]) ).
fof(f4598,plain,
! [X2,X0,X1] : true = product(add(X2,X0),add(X2,X1),add(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f4494,f2]) ).
fof(f4733,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = ifeq2(true,true,multiply(add(X0,X1),add(X0,X2)),add(X0,multiply(X1,X2))),
inference(superposition,[],[f78,f4598]) ).
fof(f4751,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(forward_demodulation,[],[f4733,f1]) ).
fof(f4831,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[],[f4751,f617]) ).
fof(f4862,plain,
! [X0] : add(inverse(x),multiply(X0,inverse(y))) = multiply(add(inverse(x),X0),x_inverse_plus_y_inverse),
inference(superposition,[],[f4751,f621]) ).
fof(f4923,plain,
! [X0] : add(inverse(x),multiply(X0,inverse(y))) = multiply(x_inverse_plus_y_inverse,add(inverse(x),X0)),
inference(forward_demodulation,[],[f4862,f587]) ).
fof(f4946,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f4831,f820]) ).
fof(f4979,plain,
! [X0,X1] : add(X1,X0) = add(X1,multiply(X0,inverse(X1))),
inference(superposition,[],[f4946,f587]) ).
fof(f5096,plain,
add(inverse(x),additive_identity) = multiply(x_inverse_plus_y_inverse,add(inverse(x),y)),
inference(superposition,[],[f4923,f585]) ).
fof(f5168,plain,
add(inverse(x),additive_identity) = multiply(x_inverse_plus_y_inverse,add(y,inverse(x))),
inference(forward_demodulation,[],[f5096,f618]) ).
fof(f5180,plain,
add(additive_identity,inverse(x)) = multiply(x_inverse_plus_y_inverse,add(y,inverse(x))),
inference(forward_demodulation,[],[f5168,f618]) ).
fof(f5191,plain,
inverse(x) = multiply(x_inverse_plus_y_inverse,add(y,inverse(x))),
inference(forward_demodulation,[],[f5180,f731]) ).
fof(f5213,plain,
add(add(y,inverse(x)),inverse(x_inverse_plus_y_inverse)) = add(inverse(x_inverse_plus_y_inverse),inverse(x)),
inference(superposition,[],[f1289,f5191]) ).
fof(f5219,plain,
add(add(y,inverse(x)),inverse(x_inverse_plus_y_inverse)) = add(inverse(x),inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f5213,f618]) ).
fof(f5221,plain,
add(inverse(x),inverse(x_inverse_plus_y_inverse)) = add(inverse(x_inverse_plus_y_inverse),add(y,inverse(x))),
inference(forward_demodulation,[],[f5219,f618]) ).
fof(f9264,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(sum(X4,X3,X0),true,sum(multiply(X4,X1),multiply(X3,X1),X2),true),true),true),
inference(superposition,[],[f367,f5]) ).
fof(f9349,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X4,X3,X0),true,sum(multiply(X4,X1),multiply(X3,X1),X2),true),true),
inference(forward_demodulation,[],[f9264,f2]) ).
fof(f9396,plain,
! [X2,X3,X0,X1] : true = ifeq(product(add(X0,X1),X2,X3),true,ifeq(true,true,sum(multiply(X0,X2),multiply(X1,X2),X3),true),true),
inference(superposition,[],[f9349,f3]) ).
fof(f9467,plain,
! [X2,X3,X0,X1] : true = ifeq(product(add(X0,X1),X2,X3),true,sum(multiply(X0,X2),multiply(X1,X2),X3),true),
inference(forward_demodulation,[],[f9396,f2]) ).
fof(f9548,plain,
! [X2,X0,X1] : true = ifeq(true,true,sum(multiply(X0,X2),multiply(X1,X2),multiply(add(X0,X1),X2)),true),
inference(superposition,[],[f9467,f5]) ).
fof(f9601,plain,
! [X2,X0,X1] : true = sum(multiply(X0,X2),multiply(X1,X2),multiply(add(X0,X1),X2)),
inference(forward_demodulation,[],[f9548,f2]) ).
fof(f9760,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X2,X1)) = ifeq2(true,true,multiply(add(X0,X2),X1),add(multiply(X0,X1),multiply(X2,X1))),
inference(superposition,[],[f56,f9601]) ).
fof(f9805,plain,
! [X2,X0,X1] : multiply(add(X0,X2),X1) = add(multiply(X0,X1),multiply(X2,X1)),
inference(forward_demodulation,[],[f9760,f1]) ).
fof(f9893,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
inference(superposition,[],[f9805,f820]) ).
fof(f9894,plain,
! [X0,X1] : add(additive_identity,multiply(X1,X0)) = multiply(add(inverse(X0),X1),X0),
inference(superposition,[],[f9805,f586]) ).
fof(f9913,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(add(X0,inverse(X1)),X1),
inference(superposition,[],[f9805,f586]) ).
fof(f10002,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f9913,f587]) ).
fof(f10013,plain,
! [X0,X1] : add(additive_identity,multiply(X1,X0)) = multiply(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[],[f9894,f587]) ).
fof(f10014,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f9893,f1085]) ).
fof(f10030,plain,
! [X0,X1] : add(additive_identity,multiply(X0,X1)) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f10002,f618]) ).
fof(f10037,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[],[f10013,f731]) ).
fof(f10038,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f10014,f820]) ).
fof(f10045,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f10030,f731]) ).
fof(f10075,plain,
multiply(add(inverse(y),inverse(inverse(x))),x_inverse_plus_y_inverse) = multiply(x_inverse_plus_y_inverse,add(inverse(y),inverse(x_inverse_plus_y_inverse))),
inference(superposition,[],[f10037,f1389]) ).
fof(f10076,plain,
multiply(add(y,inverse(x)),x_inverse_plus_y_inverse) = multiply(x_inverse_plus_y_inverse,add(inverse(x),inverse(x_inverse_plus_y_inverse))),
inference(superposition,[],[f10037,f5221]) ).
fof(f10089,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(additive_identity,X0),
inference(superposition,[],[f10037,f705]) ).
fof(f10099,plain,
! [X0] : multiply(X0,X0) = add(X0,multiply(X0,inverse(X0))),
inference(superposition,[],[f1282,f10037]) ).
fof(f10171,plain,
! [X0] : multiply(X0,X0) = add(X0,X0),
inference(forward_demodulation,[],[f10099,f1064]) ).
fof(f10179,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f10089,f585]) ).
fof(f10186,plain,
multiply(add(y,inverse(x)),x_inverse_plus_y_inverse) = multiply(inverse(x),x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f10076,f10045]) ).
fof(f10187,plain,
multiply(add(inverse(y),inverse(inverse(x))),x_inverse_plus_y_inverse) = multiply(inverse(y),x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f10075,f10045]) ).
fof(f10225,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f10171,f1086]) ).
fof(f10238,plain,
multiply(add(y,inverse(x)),x_inverse_plus_y_inverse) = multiply(x_inverse_plus_y_inverse,inverse(x)),
inference(forward_demodulation,[],[f10186,f587]) ).
fof(f10239,plain,
multiply(add(inverse(y),inverse(inverse(x))),x_inverse_plus_y_inverse) = multiply(x_inverse_plus_y_inverse,inverse(y)),
inference(forward_demodulation,[],[f10187,f587]) ).
fof(f10269,plain,
multiply(x_inverse_plus_y_inverse,add(y,inverse(x))) = multiply(x_inverse_plus_y_inverse,inverse(x)),
inference(forward_demodulation,[],[f10238,f587]) ).
fof(f10270,plain,
multiply(x_inverse_plus_y_inverse,add(inverse(y),inverse(inverse(x)))) = multiply(x_inverse_plus_y_inverse,inverse(y)),
inference(forward_demodulation,[],[f10239,f587]) ).
fof(f10283,plain,
inverse(x) = multiply(x_inverse_plus_y_inverse,inverse(x)),
inference(forward_demodulation,[],[f10269,f5191]) ).
fof(f10284,plain,
inverse(y) = multiply(x_inverse_plus_y_inverse,inverse(y)),
inference(forward_demodulation,[],[f10270,f1324]) ).
fof(f10294,plain,
add(x,inverse(x)) = add(x,x_inverse_plus_y_inverse),
inference(superposition,[],[f4979,f10283]) ).
fof(f10338,plain,
multiplicative_identity = add(x,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f10294,f617]) ).
fof(f10408,plain,
! [X0] : add(x,multiply(x_inverse_plus_y_inverse,X0)) = multiply(multiplicative_identity,add(x,X0)),
inference(superposition,[],[f4751,f10338]) ).
fof(f10421,plain,
! [X0] : add(x,X0) = add(x,multiply(x_inverse_plus_y_inverse,X0)),
inference(forward_demodulation,[],[f10408,f820]) ).
fof(f10465,plain,
add(y,inverse(y)) = add(y,x_inverse_plus_y_inverse),
inference(superposition,[],[f4979,f10284]) ).
fof(f10509,plain,
multiplicative_identity = add(y,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f10465,f617]) ).
fof(f10583,plain,
! [X0] : add(y,multiply(x_inverse_plus_y_inverse,X0)) = multiply(multiplicative_identity,add(y,X0)),
inference(superposition,[],[f4751,f10509]) ).
fof(f10596,plain,
! [X0] : add(y,X0) = add(y,multiply(x_inverse_plus_y_inverse,X0)),
inference(forward_demodulation,[],[f10583,f820]) ).
fof(f11115,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(multiply(X1,X0),X0),
inference(superposition,[],[f9805,f10225]) ).
fof(f11164,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f11115,f618]) ).
fof(f11191,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f11164,f10038]) ).
fof(f11209,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[],[f11191,f587]) ).
fof(f14679,plain,
add(y,additive_identity) = add(y,inverse(x_inverse_plus_y_inverse)),
inference(superposition,[],[f10596,f585]) ).
fof(f14760,plain,
add(additive_identity,y) = add(y,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f14679,f618]) ).
fof(f14782,plain,
y = add(y,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f14760,f731]) ).
fof(f14828,plain,
multiply(inverse(x_inverse_plus_y_inverse),y) = add(multiply(y,additive_identity),inverse(x_inverse_plus_y_inverse)),
inference(superposition,[],[f1271,f14782]) ).
fof(f14872,plain,
multiply(inverse(x_inverse_plus_y_inverse),y) = add(inverse(x_inverse_plus_y_inverse),multiply(y,additive_identity)),
inference(forward_demodulation,[],[f14828,f618]) ).
fof(f14890,plain,
multiply(inverse(x_inverse_plus_y_inverse),y) = add(inverse(x_inverse_plus_y_inverse),multiply(additive_identity,y)),
inference(forward_demodulation,[],[f14872,f587]) ).
fof(f14901,plain,
add(inverse(x_inverse_plus_y_inverse),additive_identity) = multiply(inverse(x_inverse_plus_y_inverse),y),
inference(forward_demodulation,[],[f14890,f10179]) ).
fof(f14909,plain,
multiply(y,inverse(x_inverse_plus_y_inverse)) = add(inverse(x_inverse_plus_y_inverse),additive_identity),
inference(forward_demodulation,[],[f14901,f587]) ).
fof(f14916,plain,
multiply(y,inverse(x_inverse_plus_y_inverse)) = add(additive_identity,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f14909,f618]) ).
fof(f14921,plain,
inverse(x_inverse_plus_y_inverse) = multiply(y,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f14916,f731]) ).
fof(f15000,plain,
add(x,additive_identity) = add(x,inverse(x_inverse_plus_y_inverse)),
inference(superposition,[],[f10421,f585]) ).
fof(f15081,plain,
add(additive_identity,x) = add(x,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f15000,f618]) ).
fof(f15103,plain,
x = add(x,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f15081,f731]) ).
fof(f15149,plain,
multiply(inverse(x_inverse_plus_y_inverse),x) = add(multiply(x,additive_identity),inverse(x_inverse_plus_y_inverse)),
inference(superposition,[],[f1271,f15103]) ).
fof(f15193,plain,
multiply(inverse(x_inverse_plus_y_inverse),x) = add(inverse(x_inverse_plus_y_inverse),multiply(x,additive_identity)),
inference(forward_demodulation,[],[f15149,f618]) ).
fof(f15211,plain,
multiply(inverse(x_inverse_plus_y_inverse),x) = add(inverse(x_inverse_plus_y_inverse),multiply(additive_identity,x)),
inference(forward_demodulation,[],[f15193,f587]) ).
fof(f15223,plain,
add(inverse(x_inverse_plus_y_inverse),additive_identity) = multiply(inverse(x_inverse_plus_y_inverse),x),
inference(forward_demodulation,[],[f15211,f10179]) ).
fof(f15231,plain,
multiply(x,inverse(x_inverse_plus_y_inverse)) = add(inverse(x_inverse_plus_y_inverse),additive_identity),
inference(forward_demodulation,[],[f15223,f587]) ).
fof(f15238,plain,
multiply(x,inverse(x_inverse_plus_y_inverse)) = add(additive_identity,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f15231,f618]) ).
fof(f15243,plain,
inverse(x_inverse_plus_y_inverse) = multiply(x,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f15238,f731]) ).
fof(f15352,plain,
add(x,inverse(y)) = multiply(add(x,inverse(y)),add(inverse(y),inverse(x_inverse_plus_y_inverse))),
inference(superposition,[],[f11209,f1388]) ).
fof(f15520,plain,
add(x,inverse(y)) = add(multiply(x,inverse(x_inverse_plus_y_inverse)),inverse(y)),
inference(forward_demodulation,[],[f15352,f1248]) ).
fof(f15571,plain,
add(x,inverse(y)) = add(inverse(y),multiply(x,inverse(x_inverse_plus_y_inverse))),
inference(forward_demodulation,[],[f15520,f618]) ).
fof(f15590,plain,
add(x,inverse(y)) = add(inverse(y),inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f15571,f15243]) ).
fof(f15614,plain,
multiply(inverse(x_inverse_plus_y_inverse),y) = multiply(y,add(x,inverse(y))),
inference(superposition,[],[f10037,f15590]) ).
fof(f15701,plain,
multiply(x,y) = multiply(inverse(x_inverse_plus_y_inverse),y),
inference(forward_demodulation,[],[f15614,f10045]) ).
fof(f15719,plain,
multiply(x,y) = multiply(y,inverse(x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f15701,f587]) ).
fof(f15733,plain,
multiply(x,y) = inverse(x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f15719,f14921]) ).
fof(f15739,plain,
x_times_y = inverse(x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f15733,f589]) ).
fof(f15776,plain,
x_inverse_plus_y_inverse = inverse(x_times_y),
inference(superposition,[],[f1393,f15739]) ).
fof(f15795,plain,
$false,
inference(forward_subsumption_resolution,[],[f15776,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO015-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:59:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 22.35/3.90 % (4025952)Detected a unit-equality problem, will run specialized UEQ schedule.
% 22.35/3.90 % (4025960)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2331277775:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 22.35/3.90 % (4025957)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=3526538500:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 22.35/3.90 % (4025958)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=1221097586:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 22.35/3.90 % (4025963)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1756556228:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 22.35/3.90 % (4025959)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1194274078:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 22.35/3.90 % (4025961)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=369095480:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 22.35/3.90 % (4025962)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4190942917:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 22.35/3.90 % (4025960)Instruction limit reached!
% 22.35/3.90 % (4025960)------------------------------
% 22.35/3.90 % (4025960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025960)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025960)Termination reason: Instruction limit
% 22.35/3.90 % (4025960)Termination phase: Saturation
% 22.35/3.90 % (4025960)Time elapsed: 0.042 s
% 22.35/3.90 % (4025960)Peak memory usage: 89 MB
% 22.35/3.90 % (4025960)Instructions burned: 139 (million)
% 22.35/3.90 % (4025961)Instruction limit reached!
% 22.35/3.90 % (4025961)------------------------------
% 22.35/3.90 % (4025961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025961)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025961)Termination reason: Instruction limit
% 22.35/3.90 % (4025961)Termination phase: Saturation
% 22.35/3.90 % (4025961)Time elapsed: 0.103 s
% 22.35/3.90 % (4025961)Peak memory usage: 90 MB
% 22.35/3.90 % (4025961)Instructions burned: 183 (million)
% 22.35/3.90 % (4025971)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2462133283:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 22.35/3.90 % (4025962)Instruction limit reached!
% 22.35/3.90 % (4025962)------------------------------
% 22.35/3.90 % (4025962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025962)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025962)Termination reason: Instruction limit
% 22.35/3.90 % (4025962)Termination phase: Saturation
% 22.35/3.90 % (4025962)Time elapsed: 0.149 s
% 22.35/3.90 % (4025962)Peak memory usage: 91 MB
% 22.35/3.90 % (4025962)Instructions burned: 257 (million)
% 22.35/3.90 % (4025972)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4226139221:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 22.35/3.90 % (4025974)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=746223237:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 22.35/3.90 % (4025974)Instruction limit reached!
% 22.35/3.90 % (4025974)------------------------------
% 22.35/3.90 % (4025974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025974)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025974)Termination reason: Instruction limit
% 22.35/3.90 % (4025974)Termination phase: Saturation
% 22.35/3.90 % (4025974)Time elapsed: 0.112 s
% 22.35/3.90 % (4025974)Peak memory usage: 91 MB
% 22.35/3.90 % (4025974)Instructions burned: 216 (million)
% 22.35/3.90 % (4025977)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=332155820: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)
% 22.35/3.90 % (4025977)Instruction limit reached!
% 22.35/3.90 % (4025977)------------------------------
% 22.35/3.90 % (4025977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025977)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025977)Termination reason: Instruction limit
% 22.35/3.90 % (4025977)Termination phase: Saturation
% 22.35/3.90 % (4025977)Time elapsed: 0.097 s
% 22.35/3.90 % (4025977)Peak memory usage: 94 MB
% 22.35/3.90 % (4025977)Instructions burned: 319 (million)
% 22.35/3.90 % (4025963)Instruction limit reached!
% 22.35/3.90 % (4025963)------------------------------
% 22.35/3.90 % (4025963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025963)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025963)Termination reason: Instruction limit
% 22.35/3.90 % (4025963)Termination phase: Saturation
% 22.35/3.90 % (4025963)Time elapsed: 0.645 s
% 22.35/3.90 % (4025963)Peak memory usage: 101 MB
% 22.35/3.90 % (4025963)Instructions burned: 1187 (million)
% 22.35/3.90 % (4025979)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=4148853746:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 22.35/3.90 % (4025980)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4057221110:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 22.35/3.90 % (4025971)Instruction limit reached!
% 22.35/3.90 % (4025971)------------------------------
% 22.35/3.90 % (4025971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025971)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025971)Termination reason: Instruction limit
% 22.35/3.90 % (4025971)Termination phase: Saturation
% 22.35/3.90 % (4025971)Time elapsed: 1.028 s
% 22.35/3.90 % (4025971)Peak memory usage: 141 MB
% 22.35/3.90 % (4025971)Instructions burned: 2051 (million)
% 22.35/3.90 % (4025983)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3756903812:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2987 on theBenchmark for (2987ds/14534Mi)
% 22.35/3.90 % (4025980)Instruction limit reached!
% 22.35/3.90 % (4025980)------------------------------
% 22.35/3.90 % (4025980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.90 % (4025980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.90 % (4025980)CaDiCaL version: 2.1.3
% 22.35/3.90 % (4025980)Termination reason: Instruction limit
% 22.35/3.90 % (4025980)Termination phase: Saturation
% 22.35/3.90 % (4025980)Time elapsed: 1.803 s
% 22.35/3.90 % (4025980)Peak memory usage: 133 MB
% 22.35/3.90 % (4025980)Instructions burned: 2836 (million)
% 22.35/3.90 % (4025985)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=989353855:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2972 on theBenchmark for (2972ds/11832Mi)
% 23.52/3.90 % (4025972)First to succeed.
% 23.52/3.90 % (4025972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4025952"
% 23.52/3.90 % (4025972)Refutation found. Thanks to Tanya!
% 23.52/3.90 % SZS status Unsatisfiable for theBenchmark
% 23.52/3.90 % SZS output start Proof for theBenchmark
% See solution above
% 23.65/4.09 % (4025972)------------------------------
% 23.65/4.09 % (4025972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.65/4.09 % (4025972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.65/4.09 % (4025972)CaDiCaL version: 2.1.3
% 23.65/4.09 % (4025972)Termination reason: Refutation
% 23.65/4.09 % (4025972)Time elapsed: 2.605 s
% 23.65/4.09 % (4025972)Peak memory usage: 164 MB
% 23.65/4.09 % (4025972)Instructions burned: 4473 (million)
% 23.65/4.09 % (4025972)------------------------------
% 23.65/4.09 % (4025972)------------------------------
% 23.65/4.09 % (4025952)Success in time 3.254 s
% 23.65/4.09 % Vampire exiting
%------------------------------------------------------------------------------