%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO014-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:36:10 AM UTC 2026
% Result : Unsatisfiable 45.23s 11.64s
% Output : Refutation 45.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 24
% Syntax : Number of formulae : 243 ( 150 unt; 0 def)
% Number of atoms : 411 ( 57 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 338 ( 170 ~; 168 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 428 ( 428 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity1) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity2) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity4) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X5,X6)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity5) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X5,X1,X6)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity7) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse1) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplication_is_well_defined) ).
fof(f23,negated_conjecture,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus_y) ).
fof(f24,negated_conjecture,
product(inverse(x),inverse(y),x_inverse_times_y_inverse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_inverse_times_y_inverse) ).
fof(f25,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f26,plain,
x_inverse_times_y_inverse != inverse(x_plus_y),
inference(reorient_equations,[],[f25]) ).
fof(f29,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f32,plain,
sum(y,x,x_plus_y),
inference(resolution,[],[f3,f23]) ).
fof(f33,plain,
product(inverse(y),inverse(x),x_inverse_times_y_inverse),
inference(resolution,[],[f4,f24]) ).
fof(f38,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f39,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f6]) ).
fof(f40,plain,
! [X0,X1] :
( ~ sum(X0,inverse(X0),X1)
| multiplicative_identity = X1 ),
inference(resolution,[],[f21,f18]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f21,f1]) ).
fof(f42,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f44,plain,
! [X0] :
( ~ sum(x,y,X0)
| x_plus_y = X0 ),
inference(resolution,[],[f21,f23]) ).
fof(f47,plain,
! [X0] :
( ~ product(inverse(x),inverse(y),X0)
| x_inverse_times_y_inverse = X0 ),
inference(resolution,[],[f22,f24]) ).
fof(f48,plain,
! [X0,X1] :
( ~ product(inverse(X0),X0,X1)
| additive_identity = X1 ),
inference(resolution,[],[f22,f19]) ).
fof(f49,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f7]) ).
fof(f50,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f8]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f22,f2]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X3,X5)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f9,f2]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,X2,X4)
| ~ sum(X0,X1,X3)
| ~ product(inverse(X0),X1,X2)
| product(inverse(X0),X3,X4) ),
inference(resolution,[],[f10,f19]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(multiplicative_identity,X1,X3)
| ~ product(X0,X1,X2)
| ~ sum(X0,X2,X4)
| product(X0,X3,X4) ),
inference(resolution,[],[f10,f8]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,X2,X4)
| ~ sum(inverse(X0),X1,X3)
| ~ product(X0,X1,X2)
| product(X0,X3,X4) ),
inference(resolution,[],[f10,f20]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(multiply(X0,X3),X2,X5)
| product(X0,X4,X5) ),
inference(resolution,[],[f10,f2]) ).
fof(f77,plain,
x_plus_y = add(x,y),
inference(resolution,[],[f44,f1]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,X2,X4)
| ~ sum(X1,X0,X3)
| ~ product(X0,inverse(X1),X2)
| product(X3,inverse(X1),X4) ),
inference(resolution,[],[f12,f20]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X4)
| ~ sum(X0,inverse(X1),X3)
| ~ sum(X0,X1,X2)
| product(X3,X2,X4) ),
inference(resolution,[],[f13,f19]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,multiplicative_identity,X1)
| ~ sum(X0,X2,X3)
| ~ sum(X0,X2,X4)
| product(X3,X1,X4) ),
inference(resolution,[],[f13,f8]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,multiply(X3,X1),X5)
| product(X4,X2,X5) ),
inference(resolution,[],[f13,f2]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,multiplicative_identity)
| ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,X2) ),
inference(resolution,[],[f14,f7]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,multiply(X5,X2)) ),
inference(resolution,[],[f14,f2]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2)
| ~ sum(multiply(X3,X0),X1,X5)
| product(X4,X2,X5) ),
inference(resolution,[],[f15,f2]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X1,multiplicative_identity)
| ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2)
| sum(X4,X1,X2) ),
inference(resolution,[],[f16,f7]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X1,X5)
| ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2)
| sum(X4,X1,multiply(X5,X2)) ),
inference(resolution,[],[f16,f2]) ).
fof(f118,plain,
x_inverse_times_y_inverse = multiply(inverse(x),inverse(y)),
inference(resolution,[],[f47,f2]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[],[f29,f21]) ).
fof(f160,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X4,X0)) ),
inference(resolution,[],[f38,f9]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X1,X0) = X2 ),
inference(resolution,[],[f38,f22]) ).
fof(f174,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f39,f1]) ).
fof(f177,plain,
multiplicative_identity = inverse(additive_identity),
inference(resolution,[],[f39,f17]) ).
fof(f195,plain,
additive_identity = inverse(multiplicative_identity),
inference(resolution,[],[f49,f20]) ).
fof(f196,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(resolution,[],[f49,f2]) ).
fof(f197,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f49,f38]) ).
fof(f204,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(resolution,[],[f40,f1]) ).
fof(f205,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(resolution,[],[f40,f29]) ).
fof(f224,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f48,f38]) ).
fof(f242,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f41,f29]) ).
fof(f250,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f52,f38]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| ~ product(X0,X1,X2)
| product(X0,add(multiplicative_identity,X1),X3) ),
inference(resolution,[],[f66,f1]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| product(X2,add(multiplicative_identity,X0),X3) ),
inference(resolution,[],[f90,f29]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| ~ sum(X0,X1,X3)
| sum(X0,X2,X3) ),
inference(resolution,[],[f96,f18]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,inverse(X0),X3)
| ~ product(X0,X1,X2)
| sum(X2,inverse(X0),X3) ),
inference(resolution,[],[f113,f18]) ).
fof(f347,plain,
! [X2,X3,X0,X1] :
( ~ sum(inverse(X0),X1,X2)
| ~ product(X0,X1,X3)
| product(X0,X2,X3) ),
inference(resolution,[],[f67,f5]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| ~ sum(X0,X1,X3)
| product(X2,X3,X0) ),
inference(resolution,[],[f88,f6]) ).
fof(f412,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| sum(X4,X2,multiply(X0,add(X3,X1))) ),
inference(resolution,[],[f58,f1]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,additive_identity,X3)
| ~ product(X0,X1,X2)
| sum(X3,X2,multiply(X0,X1)) ),
inference(resolution,[],[f58,f5]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ product(inverse(X0),X1,X3)
| ~ sum(X0,X1,X2)
| product(inverse(X0),X2,X3) ),
inference(resolution,[],[f64,f5]) ).
fof(f428,plain,
! [X2,X3,X0,X1] :
( ~ sum(multiply(X0,inverse(X1)),X2,X3)
| ~ product(X0,X1,X2)
| product(X0,multiplicative_identity,X3) ),
inference(resolution,[],[f68,f17]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ product(X0,y,X1)
| ~ sum(multiply(X0,x),X1,X2)
| product(X0,x_plus_y,X2) ),
inference(resolution,[],[f68,f23]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,inverse(X0),X3)
| ~ sum(X0,X1,X2)
| product(X2,inverse(X0),X3) ),
inference(resolution,[],[f83,f5]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,multiply(X3,X1),X4)
| product(add(X0,X3),X2,X4) ),
inference(resolution,[],[f92,f1]) ).
fof(f478,plain,
! [X2,X0,X1] :
( ~ sum(y,multiply(x,X0),X2)
| ~ sum(y,X0,X1)
| product(x_plus_y,X1,X2) ),
inference(resolution,[],[f92,f32]) ).
fof(f494,plain,
! [X2,X3,X0,X1] :
( ~ product(additive_identity,X0,X1)
| ~ sum(X2,X0,X3)
| sum(X2,X1,multiply(X2,X3)) ),
inference(resolution,[],[f99,f6]) ).
fof(f496,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X1,X4)
| sum(X3,X2,multiply(add(X3,X0),X4)) ),
inference(resolution,[],[f99,f1]) ).
fof(f500,plain,
! [X2,X0,X1] :
( ~ product(y,X0,X1)
| ~ sum(x,X0,X2)
| sum(x,X1,multiply(x_plus_y,X2)) ),
inference(resolution,[],[f99,f23]) ).
fof(f513,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(multiply(X2,X0),additive_identity,X3)
| product(X2,X1,X3) ),
inference(resolution,[],[f108,f6]) ).
fof(f514,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| ~ sum(multiply(X1,X0),inverse(X1),X3)
| product(multiplicative_identity,X2,X3) ),
inference(resolution,[],[f108,f18]) ).
fof(f515,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(multiply(X3,X0),X1,X4)
| product(add(X3,X1),X2,X4) ),
inference(resolution,[],[f108,f1]) ).
fof(f524,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X2,X3,multiply(add(X3,X0),X4)) ),
inference(resolution,[],[f116,f29]) ).
fof(f555,plain,
! [X0,X1] :
( ~ sum(multiply(X0,x),multiply(y,X0),X1)
| product(X0,x_plus_y,X1) ),
inference(resolution,[],[f429,f38]) ).
fof(f611,plain,
! [X0,X1] :
( ~ sum(y,X0,X1)
| product(x_plus_y,X1,add(y,multiply(x,X0))) ),
inference(resolution,[],[f478,f1]) ).
fof(f646,plain,
! [X0] :
( ~ sum(x,inverse(y),X0)
| sum(x,additive_identity,multiply(x_plus_y,X0)) ),
inference(resolution,[],[f500,f20]) ).
fof(f1354,plain,
! [X0] :
( ~ sum(x,inverse(y),X0)
| sum(x,x_inverse_times_y_inverse,X0) ),
inference(resolution,[],[f318,f24]) ).
fof(f1356,plain,
! [X0,X1] :
( ~ sum(X0,X0,X1)
| sum(X0,additive_identity,X1) ),
inference(resolution,[],[f318,f19]) ).
fof(f1361,plain,
! [X0,X1] :
( ~ sum(X0,inverse(inverse(X0)),X1)
| sum(X0,additive_identity,X1) ),
inference(resolution,[],[f318,f20]) ).
fof(f1432,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,add(X1,inverse(X0)),X2) ),
inference(resolution,[],[f347,f29]) ).
fof(f1460,plain,
! [X0,X1] :
( ~ sum(inverse(inverse(X0)),X0,X1)
| product(multiplicative_identity,X1,inverse(inverse(X0))) ),
inference(resolution,[],[f362,f17]) ).
fof(f1463,plain,
sum(x,x_inverse_times_y_inverse,add(x,inverse(y))),
inference(resolution,[],[f1354,f1]) ).
fof(f1477,plain,
add(x,inverse(y)) = add(x,x_inverse_times_y_inverse),
inference(resolution,[],[f1463,f41]) ).
fof(f1604,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,add(multiplicative_identity,X1),add(X0,X2)) ),
inference(resolution,[],[f285,f1]) ).
fof(f1845,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,add(multiplicative_identity,X0),add(X0,X1)) ),
inference(resolution,[],[f314,f1]) ).
fof(f2058,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X2,inverse(X0),add(inverse(X0),X1)) ),
inference(resolution,[],[f338,f29]) ).
fof(f2237,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(multiply(additive_identity,X0),X2,multiply(X0,X1)) ),
inference(resolution,[],[f414,f38]) ).
fof(f2252,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| product(inverse(X0),X2,multiply(inverse(X0),X1)) ),
inference(resolution,[],[f418,f2]) ).
fof(f2314,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,inverse(X0),multiply(X1,inverse(X0))) ),
inference(resolution,[],[f447,f2]) ).
fof(f2370,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,multiply(additive_identity,X1),multiply(X0,X2)) ),
inference(resolution,[],[f494,f2]) ).
fof(f2386,plain,
! [X2,X0,X1] :
( ~ sum(multiply(X0,X1),additive_identity,X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f513,f6]) ).
fof(f2471,plain,
! [X0,X1] :
( ~ product(X0,X1,additive_identity)
| product(X0,multiplicative_identity,multiply(X0,inverse(X1))) ),
inference(resolution,[],[f428,f6]) ).
fof(f2474,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,multiplicative_identity,add(X2,multiply(X0,inverse(X1)))) ),
inference(resolution,[],[f428,f29]) ).
fof(f2599,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| sum(multiply(X0,X3),X2,multiply(X0,add(X3,X1))) ),
inference(resolution,[],[f412,f2]) ).
fof(f2608,plain,
! [X0,X1] :
( ~ product(inverse(x),X0,X1)
| sum(x_inverse_times_y_inverse,X1,multiply(inverse(x),add(inverse(y),X0))) ),
inference(resolution,[],[f412,f24]) ).
fof(f2609,plain,
! [X0,X1] :
( ~ product(inverse(y),X0,X1)
| sum(x_inverse_times_y_inverse,X1,multiply(inverse(y),add(inverse(x),X0))) ),
inference(resolution,[],[f412,f33]) ).
fof(f2997,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiply(X1,additive_identity),X2)
| product(add(X0,X1),X0,X2) ),
inference(resolution,[],[f473,f6]) ).
fof(f2999,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,multiply(X1,X2),X3)
| product(add(X0,X1),add(X0,X2),X3) ),
inference(resolution,[],[f473,f1]) ).
fof(f3004,plain,
! [X2,X0,X1] :
( ~ sum(inverse(X0),multiply(X1,X0),X2)
| product(add(inverse(X0),X1),multiplicative_identity,X2) ),
inference(resolution,[],[f473,f17]) ).
fof(f3077,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| sum(X0,X2,multiply(add(X0,X2),X1)) ),
inference(resolution,[],[f496,f8]) ).
fof(f3078,plain,
! [X2,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| sum(X0,additive_identity,multiply(add(X0,X1),X2)) ),
inference(resolution,[],[f496,f20]) ).
fof(f3146,plain,
! [X0,X1] :
( ~ sum(multiply(X0,X0),inverse(X0),X1)
| product(multiplicative_identity,multiplicative_identity,X1) ),
inference(resolution,[],[f514,f18]) ).
fof(f3159,plain,
! [X2,X3,X0,X1] :
( ~ sum(multiply(X0,X1),X2,X3)
| product(add(X0,X2),add(X2,X1),X3) ),
inference(resolution,[],[f515,f29]) ).
fof(f3271,plain,
! [X0,X1] :
( ~ sum(inverse(x),X0,X1)
| sum(x_inverse_times_y_inverse,X0,multiply(add(X0,inverse(y)),X1)) ),
inference(resolution,[],[f524,f33]) ).
fof(f3291,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X2,X3)) ),
inference(resolution,[],[f160,f2]) ).
fof(f4202,plain,
sum(x,additive_identity,multiply(x_plus_y,add(x,inverse(y)))),
inference(resolution,[],[f646,f1]) ).
fof(f4205,plain,
sum(x,additive_identity,multiply(x_plus_y,add(x,x_inverse_times_y_inverse))),
inference(forward_demodulation,[],[f4202,f1477]) ).
fof(f4297,plain,
! [X0] : product(X0,x_plus_y,add(multiply(X0,x),multiply(y,X0))),
inference(resolution,[],[f555,f1]) ).
fof(f4416,plain,
x = multiply(x_plus_y,add(x,x_inverse_times_y_inverse)),
inference(resolution,[],[f4205,f39]) ).
fof(f5842,plain,
! [X0] : sum(x_inverse_times_y_inverse,X0,multiply(add(X0,inverse(y)),add(inverse(x),X0))),
inference(resolution,[],[f3271,f1]) ).
fof(f6250,plain,
sum(x_inverse_times_y_inverse,inverse(x),multiply(inverse(x),add(inverse(y),multiplicative_identity))),
inference(resolution,[],[f2608,f8]) ).
fof(f6254,plain,
sum(x_inverse_times_y_inverse,inverse(x),multiply(inverse(x),add(multiplicative_identity,inverse(y)))),
inference(forward_demodulation,[],[f6250,f242]) ).
fof(f6263,plain,
sum(x_inverse_times_y_inverse,inverse(y),multiply(inverse(y),add(inverse(x),multiplicative_identity))),
inference(resolution,[],[f2609,f8]) ).
fof(f6267,plain,
sum(x_inverse_times_y_inverse,inverse(y),multiply(inverse(y),add(multiplicative_identity,inverse(x)))),
inference(forward_demodulation,[],[f6263,f242]) ).
fof(f7254,plain,
! [X0] : sum(X0,additive_identity,add(X0,X0)),
inference(resolution,[],[f1356,f1]) ).
fof(f8479,plain,
! [X0] : sum(X0,additive_identity,add(X0,inverse(inverse(X0)))),
inference(resolution,[],[f1361,f1]) ).
fof(f9140,plain,
! [X0] :
( ~ sum(x_inverse_times_y_inverse,additive_identity,X0)
| product(inverse(x),inverse(y),X0) ),
inference(superposition,[],[f2386,f118]) ).
fof(f12755,plain,
! [X0] : product(multiplicative_identity,add(X0,inverse(inverse(X0))),inverse(inverse(X0))),
inference(resolution,[],[f1460,f29]) ).
fof(f12801,plain,
! [X0] : product(X0,add(multiplicative_identity,multiplicative_identity),add(X0,X0)),
inference(resolution,[],[f1604,f8]) ).
fof(f17496,plain,
product(inverse(x),multiply(x_plus_y,add(x,x_inverse_times_y_inverse)),multiply(inverse(x),additive_identity)),
inference(resolution,[],[f2252,f4205]) ).
fof(f17532,plain,
product(inverse(x),multiply(x_plus_y,add(x,x_inverse_times_y_inverse)),multiply(additive_identity,inverse(x))),
inference(forward_demodulation,[],[f17496,f250]) ).
fof(f17560,plain,
product(inverse(x),x,multiply(additive_identity,inverse(x))),
inference(forward_demodulation,[],[f17532,f4416]) ).
fof(f19525,plain,
! [X0] : sum(X0,multiply(additive_identity,additive_identity),multiply(X0,X0)),
inference(resolution,[],[f2370,f6]) ).
fof(f21234,plain,
! [X2,X0,X1] :
( ~ sum(X1,multiply(additive_identity,X0),X2)
| product(add(X1,X0),X1,X2) ),
inference(superposition,[],[f2997,f250]) ).
fof(f21387,plain,
! [X0,X1] : sum(X0,X1,multiply(add(X0,X1),add(X0,multiplicative_identity))),
inference(resolution,[],[f3077,f1]) ).
fof(f25491,plain,
! [X0,X1] : sum(multiply(X0,X1),X0,multiply(X0,add(X1,multiplicative_identity))),
inference(resolution,[],[f2599,f8]) ).
fof(f27188,plain,
! [X0,X1] : product(add(inverse(multiply(X0,X1)),X0),add(inverse(multiply(X0,X1)),X1),multiplicative_identity),
inference(resolution,[],[f2999,f17]) ).
fof(f27275,plain,
! [X0,X1] : product(add(inverse(multiply(X0,X1)),X0),add(X1,inverse(multiply(X0,X1))),multiplicative_identity),
inference(forward_demodulation,[],[f27188,f242]) ).
fof(f27287,plain,
! [X0,X1] : product(add(X0,inverse(multiply(X0,X1))),add(X1,inverse(multiply(X0,X1))),multiplicative_identity),
inference(forward_demodulation,[],[f27275,f242]) ).
fof(f27407,plain,
! [X0,X1] : product(add(inverse(X0),X1),multiplicative_identity,add(inverse(X0),multiply(X1,X0))),
inference(resolution,[],[f3004,f1]) ).
fof(f30723,plain,
! [X2,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| sum(multiply(X1,X0),additive_identity,multiply(X2,X1)) ),
inference(resolution,[],[f3291,f20]) ).
fof(f37060,plain,
! [X0] : product(X0,x_plus_y,add(multiply(x,X0),multiply(y,X0))),
inference(superposition,[],[f4297,f250]) ).
fof(f56259,plain,
additive_identity = multiply(additive_identity,inverse(x)),
inference(resolution,[],[f17560,f48]) ).
fof(f56481,plain,
product(additive_identity,inverse(x),additive_identity),
inference(superposition,[],[f2,f56259]) ).
fof(f56696,plain,
sum(additive_identity,inverse(additive_identity),add(inverse(additive_identity),inverse(x))),
inference(resolution,[],[f56481,f2058]) ).
fof(f56702,plain,
sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,inverse(x))),
inference(resolution,[],[f56481,f2237]) ).
fof(f56760,plain,
sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity),
inference(forward_demodulation,[],[f56702,f56259]) ).
fof(f56764,plain,
sum(additive_identity,multiplicative_identity,add(multiplicative_identity,inverse(x))),
inference(forward_demodulation,[],[f56696,f177]) ).
fof(f57660,plain,
additive_identity = multiply(additive_identity,additive_identity),
inference(resolution,[],[f56760,f39]) ).
fof(f64989,plain,
multiplicative_identity = add(multiplicative_identity,inverse(x)),
inference(resolution,[],[f56764,f42]) ).
fof(f66319,plain,
sum(multiplicative_identity,inverse(x),multiplicative_identity),
inference(superposition,[],[f1,f64989]) ).
fof(f66396,plain,
sum(multiplicative_identity,additive_identity,multiply(add(multiplicative_identity,x),multiplicative_identity)),
inference(resolution,[],[f66319,f3078]) ).
fof(f66465,plain,
product(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),add(multiplicative_identity,inverse(x))),
inference(resolution,[],[f66319,f1845]) ).
fof(f66564,plain,
product(multiplicative_identity,add(multiplicative_identity,multiplicative_identity),multiplicative_identity),
inference(forward_demodulation,[],[f66465,f64989]) ).
fof(f66607,plain,
sum(multiplicative_identity,additive_identity,add(multiplicative_identity,x)),
inference(forward_demodulation,[],[f66396,f197]) ).
fof(f70636,plain,
multiplicative_identity = add(multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f66564,f49]) ).
fof(f71978,plain,
multiplicative_identity = add(multiplicative_identity,x),
inference(resolution,[],[f66607,f39]) ).
fof(f72295,plain,
sum(multiplicative_identity,x,multiplicative_identity),
inference(superposition,[],[f1,f71978]) ).
fof(f72690,plain,
product(multiplicative_identity,inverse(multiplicative_identity),multiply(x,inverse(multiplicative_identity))),
inference(resolution,[],[f72295,f2314]) ).
fof(f72768,plain,
product(multiplicative_identity,additive_identity,multiply(x,additive_identity)),
inference(forward_demodulation,[],[f72690,f195]) ).
fof(f72854,plain,
product(multiplicative_identity,additive_identity,multiply(additive_identity,x)),
inference(forward_demodulation,[],[f72768,f250]) ).
fof(f81830,plain,
additive_identity = multiply(additive_identity,x),
inference(resolution,[],[f72854,f49]) ).
fof(f82195,plain,
product(additive_identity,x,additive_identity),
inference(superposition,[],[f2,f81830]) ).
fof(f82447,plain,
additive_identity = multiply(x,additive_identity),
inference(resolution,[],[f82195,f168]) ).
fof(f88930,plain,
product(x_plus_y,add(y,y),add(y,multiply(x,additive_identity))),
inference(resolution,[],[f7254,f611]) ).
fof(f88967,plain,
product(x_plus_y,add(y,y),add(y,additive_identity)),
inference(forward_demodulation,[],[f88930,f82447]) ).
fof(f89148,plain,
product(x_plus_y,add(y,y),y),
inference(forward_demodulation,[],[f88967,f174]) ).
fof(f89234,plain,
y = multiply(x_plus_y,add(y,y)),
inference(resolution,[],[f89148,f52]) ).
fof(f113262,plain,
product(inverse(x),inverse(y),add(x_inverse_times_y_inverse,inverse(inverse(x_inverse_times_y_inverse)))),
inference(resolution,[],[f8479,f9140]) ).
fof(f129206,plain,
! [X0] : product(X0,multiplicative_identity,add(X0,X0)),
inference(forward_demodulation,[],[f12801,f70636]) ).
fof(f129207,plain,
! [X0] : add(X0,X0) = X0,
inference(resolution,[],[f129206,f50]) ).
fof(f132094,plain,
! [X0] : sum(X0,additive_identity,multiply(X0,X0)),
inference(forward_demodulation,[],[f19525,f57660]) ).
fof(f132095,plain,
! [X0] : multiply(X0,X0) = X0,
inference(resolution,[],[f132094,f39]) ).
fof(f222985,plain,
! [X0] : product(multiplicative_identity,multiplicative_identity,multiply(add(multiply(X0,X0),inverse(X0)),add(multiply(X0,X0),multiplicative_identity))),
inference(resolution,[],[f21387,f3146]) ).
fof(f224037,plain,
! [X0] : product(multiplicative_identity,multiplicative_identity,multiply(add(multiply(X0,X0),multiplicative_identity),add(multiply(X0,X0),inverse(X0)))),
inference(forward_demodulation,[],[f222985,f250]) ).
fof(f224687,plain,
! [X0] : product(multiplicative_identity,multiplicative_identity,multiply(add(multiply(X0,X0),multiplicative_identity),add(inverse(X0),multiply(X0,X0)))),
inference(forward_demodulation,[],[f224037,f242]) ).
fof(f225031,plain,
! [X0] : product(multiplicative_identity,multiplicative_identity,multiply(add(X0,multiplicative_identity),add(inverse(X0),X0))),
inference(forward_demodulation,[],[f224687,f132095]) ).
fof(f225218,plain,
! [X0] : product(multiplicative_identity,multiplicative_identity,multiply(add(X0,multiplicative_identity),multiplicative_identity)),
inference(forward_demodulation,[],[f225031,f205]) ).
fof(f225318,plain,
! [X0] : product(multiplicative_identity,multiplicative_identity,add(X0,multiplicative_identity)),
inference(forward_demodulation,[],[f225218,f197]) ).
fof(f225336,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(resolution,[],[f225318,f49]) ).
fof(f227813,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(superposition,[],[f225336,f242]) ).
fof(f245020,plain,
! [X0,X1] : sum(multiply(X0,X1),X0,multiply(X0,multiplicative_identity)),
inference(forward_demodulation,[],[f25491,f225336]) ).
fof(f245021,plain,
! [X0,X1] : sum(multiply(X0,X1),X0,X0),
inference(forward_demodulation,[],[f245020,f197]) ).
fof(f245076,plain,
! [X0,X1] : product(add(X0,X0),add(X0,X1),X0),
inference(resolution,[],[f245021,f3159]) ).
fof(f245222,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f245021,f39]) ).
fof(f245550,plain,
! [X0,X1] : product(X0,add(X0,X1),X0),
inference(forward_demodulation,[],[f245076,f129207]) ).
fof(f279689,plain,
! [X2,X0,X1] :
( ~ sum(X1,additive_identity,X2)
| product(add(X1,X0),X1,X2) ),
inference(forward_demodulation,[],[f21234,f245222]) ).
fof(f279692,plain,
! [X0,X1] : product(add(X0,X1),X0,add(X0,inverse(inverse(X0)))),
inference(resolution,[],[f279689,f8479]) ).
fof(f325497,plain,
product(add(inverse(add(y,y)),x_plus_y),multiplicative_identity,add(inverse(add(y,y)),y)),
inference(superposition,[],[f27407,f89234]) ).
fof(f325566,plain,
product(add(inverse(add(y,y)),x_plus_y),multiplicative_identity,add(y,inverse(add(y,y)))),
inference(forward_demodulation,[],[f325497,f242]) ).
fof(f325694,plain,
product(add(inverse(y),x_plus_y),multiplicative_identity,add(y,inverse(y))),
inference(forward_demodulation,[],[f325566,f129207]) ).
fof(f325781,plain,
product(add(inverse(y),x_plus_y),multiplicative_identity,multiplicative_identity),
inference(forward_demodulation,[],[f325694,f204]) ).
fof(f325813,plain,
product(add(x_plus_y,inverse(y)),multiplicative_identity,multiplicative_identity),
inference(forward_demodulation,[],[f325781,f242]) ).
fof(f386981,plain,
sum(multiply(x,x_inverse_times_y_inverse),additive_identity,multiply(multiply(inverse(x),add(multiplicative_identity,inverse(y))),x)),
inference(resolution,[],[f30723,f6254]) ).
fof(f386982,plain,
sum(multiply(y,x_inverse_times_y_inverse),additive_identity,multiply(multiply(inverse(y),add(multiplicative_identity,inverse(x))),y)),
inference(resolution,[],[f30723,f6267]) ).
fof(f386999,plain,
sum(multiply(y,x_inverse_times_y_inverse),additive_identity,multiply(y,multiply(inverse(y),add(multiplicative_identity,inverse(x))))),
inference(forward_demodulation,[],[f386982,f250]) ).
fof(f387000,plain,
sum(multiply(x,x_inverse_times_y_inverse),additive_identity,multiply(x,multiply(inverse(x),add(multiplicative_identity,inverse(y))))),
inference(forward_demodulation,[],[f386981,f250]) ).
fof(f387068,plain,
sum(multiply(y,x_inverse_times_y_inverse),additive_identity,multiply(y,multiply(inverse(y),multiplicative_identity))),
inference(forward_demodulation,[],[f386999,f64989]) ).
fof(f387069,plain,
sum(multiply(x,x_inverse_times_y_inverse),additive_identity,multiply(x,multiply(inverse(x),multiplicative_identity))),
inference(forward_demodulation,[],[f387000,f227813]) ).
fof(f387110,plain,
sum(multiply(y,x_inverse_times_y_inverse),additive_identity,multiply(y,inverse(y))),
inference(forward_demodulation,[],[f387068,f197]) ).
fof(f387111,plain,
sum(multiply(x,x_inverse_times_y_inverse),additive_identity,multiply(x,inverse(x))),
inference(forward_demodulation,[],[f387069,f197]) ).
fof(f387136,plain,
sum(multiply(y,x_inverse_times_y_inverse),additive_identity,additive_identity),
inference(forward_demodulation,[],[f387110,f224]) ).
fof(f387137,plain,
sum(multiply(x,x_inverse_times_y_inverse),additive_identity,additive_identity),
inference(forward_demodulation,[],[f387111,f224]) ).
fof(f390468,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(resolution,[],[f245550,f52]) ).
fof(f400311,plain,
! [X0,X1] : product(add(X0,inverse(multiply(X0,X1))),multiplicative_identity,add(multiplicative_identity,multiply(add(X0,inverse(multiply(X0,X1))),inverse(add(X1,inverse(multiply(X0,X1))))))),
inference(resolution,[],[f27287,f2474]) ).
fof(f400489,plain,
! [X0,X1] : product(add(X0,inverse(multiply(X0,X1))),multiplicative_identity,multiplicative_identity),
inference(forward_demodulation,[],[f400311,f227813]) ).
fof(f444512,plain,
product(y,x_inverse_times_y_inverse,additive_identity),
inference(resolution,[],[f387136,f2386]) ).
fof(f444959,plain,
product(x,x_inverse_times_y_inverse,additive_identity),
inference(resolution,[],[f387137,f2386]) ).
fof(f445417,plain,
product(y,multiplicative_identity,multiply(y,inverse(x_inverse_times_y_inverse))),
inference(resolution,[],[f444512,f2471]) ).
fof(f447399,plain,
product(x,multiplicative_identity,multiply(x,inverse(x_inverse_times_y_inverse))),
inference(resolution,[],[f444959,f2471]) ).
fof(f504707,plain,
product(add(x_plus_y,inverse(x)),multiplicative_identity,multiplicative_identity),
inference(superposition,[],[f400489,f4416]) ).
fof(f527864,plain,
multiplicative_identity = add(x_plus_y,inverse(x)),
inference(resolution,[],[f504707,f50]) ).
fof(f528156,plain,
sum(x_plus_y,inverse(x),multiplicative_identity),
inference(superposition,[],[f1,f527864]) ).
fof(f528782,plain,
multiplicative_identity = add(inverse(x),x_plus_y),
inference(resolution,[],[f528156,f147]) ).
fof(f544205,plain,
x_inverse_times_y_inverse = add(x_inverse_times_y_inverse,inverse(inverse(x_inverse_times_y_inverse))),
inference(resolution,[],[f113262,f47]) ).
fof(f570117,plain,
! [X0,X1] : add(X0,inverse(inverse(X0))) = multiply(X0,add(X0,X1)),
inference(resolution,[],[f279692,f168]) ).
fof(f570537,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f570117,f390468]) ).
fof(f577116,plain,
product(multiplicative_identity,x_inverse_times_y_inverse,inverse(inverse(x_inverse_times_y_inverse))),
inference(superposition,[],[f12755,f544205]) ).
fof(f577641,plain,
x_inverse_times_y_inverse = inverse(inverse(x_inverse_times_y_inverse)),
inference(resolution,[],[f577116,f49]) ).
fof(f588600,plain,
! [X0] : product(multiplicative_identity,X0,inverse(inverse(X0))),
inference(superposition,[],[f12755,f570537]) ).
fof(f589553,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(resolution,[],[f588600,f49]) ).
fof(f608060,plain,
multiplicative_identity = add(x_plus_y,inverse(y)),
inference(resolution,[],[f325813,f50]) ).
fof(f608321,plain,
sum(x_inverse_times_y_inverse,x_plus_y,multiply(multiplicative_identity,add(inverse(x),x_plus_y))),
inference(superposition,[],[f5842,f608060]) ).
fof(f608834,plain,
sum(x_inverse_times_y_inverse,x_plus_y,add(inverse(x),x_plus_y)),
inference(forward_demodulation,[],[f608321,f196]) ).
fof(f608945,plain,
sum(x_inverse_times_y_inverse,x_plus_y,multiplicative_identity),
inference(forward_demodulation,[],[f608834,f528782]) ).
fof(f609037,plain,
multiplicative_identity = add(x_plus_y,x_inverse_times_y_inverse),
inference(resolution,[],[f608945,f147]) ).
fof(f631324,plain,
y = multiply(y,inverse(x_inverse_times_y_inverse)),
inference(resolution,[],[f445417,f50]) ).
fof(f655138,plain,
x = multiply(x,inverse(x_inverse_times_y_inverse)),
inference(resolution,[],[f447399,f50]) ).
fof(f656170,plain,
product(inverse(x_inverse_times_y_inverse),x_plus_y,add(x,multiply(y,inverse(x_inverse_times_y_inverse)))),
inference(superposition,[],[f37060,f655138]) ).
fof(f656785,plain,
product(inverse(x_inverse_times_y_inverse),x_plus_y,add(x,y)),
inference(forward_demodulation,[],[f656170,f631324]) ).
fof(f656892,plain,
product(inverse(x_inverse_times_y_inverse),x_plus_y,x_plus_y),
inference(forward_demodulation,[],[f656785,f77]) ).
fof(f659565,plain,
product(inverse(x_inverse_times_y_inverse),add(x_plus_y,inverse(inverse(x_inverse_times_y_inverse))),x_plus_y),
inference(resolution,[],[f656892,f1432]) ).
fof(f659668,plain,
product(inverse(x_inverse_times_y_inverse),add(x_plus_y,x_inverse_times_y_inverse),x_plus_y),
inference(forward_demodulation,[],[f659565,f577641]) ).
fof(f659700,plain,
product(inverse(x_inverse_times_y_inverse),multiplicative_identity,x_plus_y),
inference(forward_demodulation,[],[f659668,f609037]) ).
fof(f659953,plain,
x_plus_y = inverse(x_inverse_times_y_inverse),
inference(resolution,[],[f659700,f50]) ).
fof(f660743,plain,
x_inverse_times_y_inverse = inverse(x_plus_y),
inference(superposition,[],[f589553,f659953]) ).
fof(f660744,plain,
$false,
inference(forward_subsumption_resolution,[],[f660743,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO014-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n002.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 21:06:38 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 Running first-order model finding
% 0.10/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.39/3.72 % (761517)Will run a generic schedule for satisfiability detection.
% 24.39/3.72 % (761526)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2724240229:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 24.39/3.72 % (761523)% WARNING: option uhcvi not known.
% 24.39/3.72 % (761522)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=350284050_2999 on theBenchmark for (2999ds/0Mi)
% 24.39/3.72 % (761523)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2445438556:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 24.39/3.72 % (761524)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4096846419:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 24.39/3.72 % (761525)dis+10_1_sil=32000:sp=arity:random_seed=2749878942:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 24.39/3.72 % TRYING [1]
% 24.39/3.72 % TRYING [2]
% 24.39/3.72 % TRYING [3]
% 24.39/3.72 % (761527)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=751164687:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 24.39/3.72 % (761528)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2862729124:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 24.39/3.72 % TRYING [4]
% 24.39/3.72 % (761526)Instruction limit reached!
% 24.39/3.72 % (761526)------------------------------
% 24.39/3.72 % (761526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.39/3.72 % (761526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/3.72 % (761526)CaDiCaL version: 2.1.3
% 24.39/3.72 % (761526)Termination reason: Instruction limit
% 24.39/3.72 % (761526)Termination phase: Saturation
% 24.39/3.72 % (761526)Time elapsed: 0.034 s
% 24.39/3.72 % (761526)Peak memory usage: 12 MB
% 24.39/3.72 % (761526)Instructions burned: 119 (million)
% 24.39/3.72 % (761536)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2450424608:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 24.39/3.72 % TRYING [1]
% 24.39/3.72 % TRYING [2]
% 24.39/3.72 % TRYING [3]
% 24.39/3.72 % TRYING [5]
% 24.39/3.72 % TRYING [4]
% 24.39/3.72 % (761525)Instruction limit reached!
% 24.39/3.72 % (761525)------------------------------
% 24.39/3.72 % (761525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.39/3.72 % (761525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/3.72 % (761525)CaDiCaL version: 2.1.3
% 24.39/3.72 % (761525)Termination reason: Instruction limit
% 24.39/3.72 % (761525)Termination phase: Saturation
% 24.39/3.72 % (761525)Time elapsed: 0.060 s
% 24.39/3.72 % (761525)Peak memory usage: 12 MB
% 24.39/3.72 % (761525)Instructions burned: 104 (million)
% 24.39/3.72 % TRYING [5]
% 24.39/3.72 % (761538)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=569583448:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 24.39/3.72 % (761527)Instruction limit reached!
% 24.39/3.72 % (761527)------------------------------
% 24.39/3.72 % (761527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.39/3.72 % (761527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/3.72 % (761527)CaDiCaL version: 2.1.3
% 24.39/3.72 % (761527)Termination reason: Instruction limit
% 24.39/3.72 % (761527)Termination phase: Saturation
% 24.39/3.72 % (761527)Time elapsed: 0.104 s
% 24.39/3.72 % (761527)Peak memory usage: 12 MB
% 24.39/3.72 % (761527)Instructions burned: 131 (million)
% 24.39/3.72 % (761528)Instruction limit reached!
% 24.39/3.72 % (761528)------------------------------
% 24.39/3.72 % (761528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.39/3.72 % (761528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/3.72 % (761528)CaDiCaL version: 2.1.3
% 24.39/3.72 % (761528)Termination reason: Instruction limit
% 24.39/3.72 % (761528)Termination phase: Saturation
% 24.39/3.72 % (761528)Time elapsed: 0.103 s
% 24.39/3.72 % (761528)Peak memory usage: 12 MB
% 24.39/3.72 % (761528)Instructions burned: 160 (million)
% 24.39/3.72 % (761540)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2238263100:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 24.39/3.72 % (761541)ott-21_1_sil=16000:fs=off:random_seed=1528280560:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 24.39/3.72 % TRYING [6]
% 24.39/3.72 % TRYING [6]
% 24.39/3.72 % (761538)Instruction limit reached!
% 24.39/3.72 % (761538)------------------------------
% 24.39/3.72 % (761538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.39/3.72 % (761538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.65 % (761538)CaDiCaL version: 2.1.3
% 44.47/6.65 % (761538)Termination reason: Instruction limit
% 44.47/6.65 % (761538)Termination phase: Saturation
% 44.47/6.65 % (761538)Time elapsed: 0.082 s
% 44.47/6.65 % (761538)Peak memory usage: 13 MB
% 44.47/6.65 % (761538)Instructions burned: 132 (million)
% 44.47/6.65 % (761536)Instruction limit reached!
% 44.47/6.65 % (761536)------------------------------
% 44.47/6.65 % (761536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.65 % (761536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.65 % (761536)CaDiCaL version: 2.1.3
% 44.47/6.65 % (761536)Termination reason: Instruction limit
% 44.47/6.65 % (761536)Termination phase: Finite model building constraint generation
% 44.47/6.65 % (761536)Time elapsed: 0.141 s
% 44.47/6.65 % (761536)Peak memory usage: 29 MB
% 44.47/6.65 % (761536)Instructions burned: 718 (million)
% 44.47/6.65 % (761544)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1058501691:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 44.47/6.65 % (761546)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=343591165:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 44.47/6.65 % TRYING [1]
% 44.47/6.65 % TRYING [2]
% 44.47/6.65 % TRYING [3]
% 44.47/6.65 % TRYING [4]
% 44.47/6.65 % TRYING [5]
% 44.47/6.65 % (761541)Instruction limit reached!
% 44.47/6.65 % (761541)------------------------------
% 44.47/6.65 % (761541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.65 % (761541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.65 % (761541)CaDiCaL version: 2.1.3
% 44.47/6.65 % (761541)Termination reason: Instruction limit
% 44.47/6.65 % (761541)Termination phase: Saturation
% 44.47/6.65 % (761541)Time elapsed: 0.120 s
% 44.47/6.65 % (761541)Peak memory usage: 11 MB
% 44.47/6.65 % (761541)Instructions burned: 180 (million)
% 44.47/6.65 % (761549)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=445525561:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 44.47/6.65 % TRYING [6]
% 44.47/6.65 % (761546)Instruction limit reached!
% 44.47/6.65 % (761546)------------------------------
% 44.47/6.65 % (761546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.65 % (761546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.65 % (761546)CaDiCaL version: 2.1.3
% 44.47/6.65 % (761546)Termination reason: Instruction limit
% 44.47/6.65 % (761546)Termination phase: Finite model building constraint generation
% 44.47/6.65 % (761546)Time elapsed: 0.164 s
% 44.47/6.65 % (761546)Peak memory usage: 23 MB
% 44.47/6.65 % (761546)Instructions burned: 870 (million)
% 44.47/6.65 % (761561)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3435495084:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 44.47/6.65 % TRYING [7]
% 44.47/6.65 % (761544)Instruction limit reached!
% 44.47/6.65 % (761544)------------------------------
% 44.47/6.65 % (761544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.65 % (761544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.65 % (761544)CaDiCaL version: 2.1.3
% 44.47/6.65 % (761544)Termination reason: Instruction limit
% 44.47/6.65 % (761544)Termination phase: Saturation
% 44.47/6.65 % (761544)Time elapsed: 0.312 s
% 44.47/6.65 % (761544)Peak memory usage: 13 MB
% 44.47/6.65 % (761544)Instructions burned: 477 (million)
% 44.47/6.65 % (761620)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3139111536:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 44.47/6.65 % (761540)Instruction limit reached!
% 44.47/6.65 % (761540)------------------------------
% 44.47/6.65 % (761540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.47/6.65 % (761540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.47/6.65 % (761540)CaDiCaL version: 2.1.3
% 44.47/6.65 % (761540)Termination reason: Instruction limit
% 44.47/6.65 % (761540)Termination phase: Saturation
% 44.47/6.65 % (761540)Time elapsed: 0.394 s
% 44.47/6.65 % (761540)Peak memory usage: 16 MB
% 44.47/6.65 % (761540)Instructions burned: 685 (million)
% 44.47/6.65 % TRYING [14]
% 44.47/6.65 % (761633)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1469662666:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 44.47/6.65 % (761561)Instruction limit reached!
% 44.47/6.65 % (761561)------------------------------
% 44.47/6.65 % (761561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761561)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761561)Termination reason: Instruction limit
% 45.23/11.64 % (761561)Termination phase: Finite model building constraint generation
% 45.23/11.64 % (761561)Time elapsed: 0.221 s
% 45.23/11.64 % (761561)Peak memory usage: 99 MB
% 45.23/11.64 % (761561)Instructions burned: 892 (million)
% 45.23/11.64 % (761655)fmb+10_1_sil=64000:random_seed=897941059:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 45.23/11.64 % TRYING [1]
% 45.23/11.64 % TRYING [2]
% 45.23/11.64 % TRYING [3]
% 45.23/11.64 % TRYING [4]
% 45.23/11.64 % TRYING [5]
% 45.23/11.64 % TRYING [6]
% 45.23/11.64 % (761620)Instruction limit reached!
% 45.23/11.64 % (761620)------------------------------
% 45.23/11.64 % (761620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761620)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761620)Termination reason: Instruction limit
% 45.23/11.64 % (761620)Termination phase: Saturation
% 45.23/11.64 % (761620)Time elapsed: 0.385 s
% 45.23/11.64 % (761620)Peak memory usage: 16 MB
% 45.23/11.64 % (761620)Instructions burned: 693 (million)
% 45.23/11.64 % (761711)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3665831242:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 45.23/11.64 % TRYING [20]
% 45.23/11.64 % (761633)Instruction limit reached!
% 45.23/11.64 % (761633)------------------------------
% 45.23/11.64 % (761633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761633)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761633)Termination reason: Instruction limit
% 45.23/11.64 % (761633)Termination phase: Saturation
% 45.23/11.64 % (761633)Time elapsed: 0.461 s
% 45.23/11.64 % (761633)Peak memory usage: 15 MB
% 45.23/11.64 % (761633)Instructions burned: 881 (million)
% 45.23/11.64 % (761549)Instruction limit reached!
% 45.23/11.64 % (761549)------------------------------
% 45.23/11.64 % (761549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761549)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761549)Termination reason: Instruction limit
% 45.23/11.64 % (761549)Termination phase: Saturation
% 45.23/11.64 % (761549)Time elapsed: 0.750 s
% 45.23/11.64 % (761549)Peak memory usage: 18 MB
% 45.23/11.64 % (761549)Instructions burned: 1180 (million)
% 45.23/11.64 % (761713)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4102378501:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 45.23/11.64 % TRYING [8]
% 45.23/11.64 % (761714)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1942899436:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 45.23/11.64 % TRYING [7]
% 45.23/11.64 % TRYING [8]
% 45.23/11.64 % (761713)Instruction limit reached!
% 45.23/11.64 % (761713)------------------------------
% 45.23/11.64 % (761713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761713)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761713)Termination reason: Instruction limit
% 45.23/11.64 % (761713)Termination phase: Finite model building constraint generation
% 45.23/11.64 % (761713)Time elapsed: 0.345 s
% 45.23/11.64 % (761713)Peak memory usage: 79 MB
% 45.23/11.64 % (761713)Instructions burned: 920 (million)
% 45.23/11.64 % (761717)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2778363595:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 45.23/11.64 % TRYING [8]
% 45.23/11.64 % (761717)Instruction limit reached!
% 45.23/11.64 % (761717)------------------------------
% 45.23/11.64 % (761717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761717)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761717)Termination reason: Instruction limit
% 45.23/11.64 % (761717)Termination phase: Saturation
% 45.23/11.64 % (761717)Time elapsed: 0.957 s
% 45.23/11.64 % (761717)Peak memory usage: 31 MB
% 45.23/11.64 % (761717)Instructions burned: 1473 (million)
% 45.23/11.64 % (761719)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3430250298:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 45.23/11.64 % TRYING [77]
% 45.23/11.64 % TRYING [9]
% 45.23/11.64 % (761714)Instruction limit reached!
% 45.23/11.64 % (761714)------------------------------
% 45.23/11.64 % (761714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761714)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761714)Termination reason: Instruction limit
% 45.23/11.64 % (761714)Termination phase: Saturation
% 45.23/11.64 % (761714)Time elapsed: 2.385 s
% 45.23/11.64 % (761714)Peak memory usage: 18 MB
% 45.23/11.64 % (761714)Instructions burned: 5134 (million)
% 45.23/11.64 % (761721)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2253861004:fmbsr=2.30978:i=2174_2965 on theBenchmark for (2965ds/2174Mi)
% 45.23/11.64 % TRYING [16]
% 45.23/11.64 % TRYING [9]
% 45.23/11.64 % (761721)Instruction limit reached!
% 45.23/11.64 % (761721)------------------------------
% 45.23/11.64 % (761721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761721)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761721)Termination reason: Instruction limit
% 45.23/11.64 % (761721)Termination phase: Finite model building constraint generation
% 45.23/11.64 % (761721)Time elapsed: 0.722 s
% 45.23/11.64 % (761721)Peak memory usage: 132 MB
% 45.23/11.64 % (761721)Instructions burned: 2177 (million)
% 45.23/11.64 % (761723)ott-2_1_sil=16000:newcnf=on:random_seed=2886064611:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 45.23/11.64 % (761711)Instruction limit reached!
% 45.23/11.64 % (761711)------------------------------
% 45.23/11.64 % (761711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761711)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761711)Termination reason: Instruction limit
% 45.23/11.64 % (761711)Termination phase: Finite model building constraint generation
% 45.23/11.64 % (761711)Time elapsed: 3.353 s
% 45.23/11.64 % (761711)Peak memory usage: 667 MB
% 45.23/11.64 % (761711)Instructions burned: 9516 (million)
% 45.23/11.64 % (761725)ott+10_1_sil=32000:tgt=ground:random_seed=1856892391:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 45.23/11.64 % (761719)Instruction limit reached!
% 45.23/11.64 % (761719)------------------------------
% 45.23/11.64 % (761719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761719)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761719)Termination reason: Instruction limit
% 45.23/11.64 % (761719)Termination phase: Finite model building constraint generation
% 45.23/11.64 % (761719)Time elapsed: 2.188 s
% 45.23/11.64 % (761719)Peak memory usage: 451 MB
% 45.23/11.64 % (761719)Instructions burned: 6325 (million)
% 45.23/11.64 % (761727)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3422115450:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 45.23/11.64 % TRYING [1]
% 45.23/11.64 % TRYING [2]
% 45.23/11.64 % TRYING [3]
% 45.23/11.64 % TRYING [4]
% 45.23/11.64 % (761723)Instruction limit reached!
% 45.23/11.64 % (761723)------------------------------
% 45.23/11.64 % (761723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761723)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761723)Termination reason: Instruction limit
% 45.23/11.64 % (761723)Termination phase: Saturation
% 45.23/11.64 % (761723)Time elapsed: 0.468 s
% 45.23/11.64 % (761723)Peak memory usage: 14 MB
% 45.23/11.64 % (761723)Instructions burned: 869 (million)
% 45.23/11.64 % TRYING [5]
% 45.23/11.64 % (761729)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1595662954:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 45.23/11.64 % TRYING [6]
% 45.23/11.64 % TRYING [7]
% 45.23/11.64 % (761655)Instruction limit reached!
% 45.23/11.64 % (761655)------------------------------
% 45.23/11.64 % (761655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761655)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761655)Termination reason: Instruction limit
% 45.23/11.64 % (761655)Termination phase: Finite model building SAT solving
% 45.23/11.64 % (761655)Time elapsed: 5.192 s
% 45.23/11.64 % (761655)Peak memory usage: 232 MB
% 45.23/11.64 % (761655)Instructions burned: 22064 (million)
% 45.23/11.64 % (761731)dis+21_1_sil=32000:sas=cadical:random_seed=504725147:i=3773:amm=off_2941 on theBenchmark for (2941ds/3773Mi)
% 45.23/11.64 % TRYING [8]
% 45.23/11.64 % (761729)Instruction limit reached!
% 45.23/11.64 % (761729)------------------------------
% 45.23/11.64 % (761729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761729)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761729)Termination reason: Instruction limit
% 45.23/11.64 % (761729)Termination phase: Saturation
% 45.23/11.64 % (761729)Time elapsed: 1.664 s
% 45.23/11.64 % (761729)Peak memory usage: 16 MB
% 45.23/11.64 % (761729)Instructions burned: 3514 (million)
% 45.23/11.64 % (761733)ott+11_1_sil=16000:gs=on:random_seed=1306384548:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2936 on theBenchmark for (2936ds/2251Mi)
% 45.23/11.64 % (761731)Instruction limit reached!
% 45.23/11.64 % (761731)------------------------------
% 45.23/11.64 % (761731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761731)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761731)Termination reason: Instruction limit
% 45.23/11.64 % (761731)Termination phase: Saturation
% 45.23/11.64 % (761731)Time elapsed: 1.173 s
% 45.23/11.64 % (761731)Peak memory usage: 30 MB
% 45.23/11.64 % (761731)Instructions burned: 3774 (million)
% 45.23/11.64 % (761735)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1329957874:fmbsr=1.6:i=67534_2929 on theBenchmark for (2929ds/67534Mi)
% 45.23/11.64 % TRYING [7]
% 45.23/11.64 % TRYING [9]
% 45.23/11.64 % (761725)Instruction limit reached!
% 45.23/11.64 % (761725)------------------------------
% 45.23/11.64 % (761725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761725)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761725)Termination reason: Instruction limit
% 45.23/11.64 % (761725)Termination phase: Saturation
% 45.23/11.64 % (761725)Time elapsed: 3.273 s
% 45.23/11.64 % (761725)Peak memory usage: 33 MB
% 45.23/11.64 % (761725)Instructions burned: 5114 (million)
% 45.23/11.64 % (761737)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=603591583:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2923 on theBenchmark for (2923ds/4591Mi)
% 45.23/11.64 % (761733)Instruction limit reached!
% 45.23/11.64 % (761733)------------------------------
% 45.23/11.64 % (761733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761733)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761733)Termination reason: Instruction limit
% 45.23/11.64 % (761733)Termination phase: Saturation
% 45.23/11.64 % (761733)Time elapsed: 1.375 s
% 45.23/11.64 % (761733)Peak memory usage: 22 MB
% 45.23/11.64 % (761733)Instructions burned: 2251 (million)
% 45.23/11.64 % (761739)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2135161401:i=29340_2922 on theBenchmark for (2922ds/29340Mi)
% 45.23/11.64 % TRYING [8]
% 45.23/11.64 % (761737)Instruction limit reached!
% 45.23/11.64 % (761737)------------------------------
% 45.23/11.64 % (761737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.64 % (761737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.64 % (761737)CaDiCaL version: 2.1.3
% 45.23/11.64 % (761737)Termination reason: Instruction limit
% 45.23/11.64 % (761737)Termination phase: Saturation
% 45.23/11.64 % (761737)Time elapsed: 2.406 s
% 45.23/11.64 % (761737)Peak memory usage: 23 MB
% 45.23/11.64 % (761737)Instructions burned: 4592 (million)
% 45.23/11.64 % (761741)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2321293299:i=5211_2898 on theBenchmark for (2898ds/5211Mi)
% 45.23/11.64 % TRYING [9]
% 45.23/11.64 % (761523) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-761517-761523"...
% 45.23/11.64 % (761523)...printing done.
% 45.23/11.64 % (761523)Refutation found. Thanks to Tanya!
% 45.23/11.64 % SZS status Unsatisfiable for theBenchmark
% 45.23/11.64 % SZS output start Proof for theBenchmark
% See solution above
% 45.23/11.65 % (761523)------------------------------
% 45.23/11.65 % (761523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.23/11.65 % (761523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.23/11.65 % (761523)CaDiCaL version: 2.1.3
% 45.23/11.65 % (761523)Termination reason: Refutation
% 45.23/11.65 % (761523)Time elapsed: 11.277 s
% 45.23/11.65 % (761523)Peak memory usage: 114 MB
% 45.23/11.65 % (761523)Instructions burned: 19164 (million)
% 45.23/11.65 % (761517)Success in time 11.373 s
% 45.23/11.65 % Vampire exiting
%------------------------------------------------------------------------------