%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO014-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 9.27s 2.10s
% Output : Refutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 164 ( 128 unt; 3 def)
% Number of atoms : 227 ( 125 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 129 ( 66 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 233 ( 233 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
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/sandbox/benchmark/theBenchmark.p',distributivity6) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f23,negated_conjecture,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y) ).
fof(f24,negated_conjecture,
product(inverse(x),inverse(y),x_inverse_times_y_inverse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_inverse_times_y_inverse) ).
fof(f25,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f26,plain,
x_inverse_times_y_inverse != inverse(x_plus_y),
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF0 = inverse(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f28,plain,
inverse(x) = sF0,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF1 = inverse(y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f30,plain,
inverse(y) = sF1,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
product(sF0,sF1,x_inverse_times_y_inverse),
inference(definition_folding,[],[f24,f30,f28]) ).
fof(f32,definition,
sF2 = inverse(x_plus_y),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
inverse(x_plus_y) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
x_inverse_times_y_inverse != sF2,
inference(definition_folding,[],[f26,f33]) ).
fof(f36,plain,
! [X0] :
( ~ product(sF0,sF1,X0)
| x_inverse_times_y_inverse = X0 ),
inference(resolution,[],[f22,f31]) ).
fof(f39,plain,
sum(sF1,y,multiplicative_identity),
inference(superposition,[],[f17,f30]) ).
fof(f40,plain,
sum(sF0,x,multiplicative_identity),
inference(superposition,[],[f17,f28]) ).
fof(f44,plain,
product(sF0,x,additive_identity),
inference(superposition,[],[f19,f28]) ).
fof(f53,plain,
sum(y,x,x_plus_y),
inference(resolution,[],[f3,f23]) ).
fof(f63,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f1,f3]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f1,f21]) ).
fof(f65,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f2,f4]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f2,f22]) ).
fof(f68,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f8,f22]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f9,f2]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X5)
| ~ sum(X3,X0,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X4,X1)) ),
inference(resolution,[],[f11,f2]) ).
fof(f84,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f21]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X5)
| sum(X0,X4,multiply(X5,X2)) ),
inference(resolution,[],[f14,f2]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X0,X3),X5)
| ~ sum(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
inference(resolution,[],[f10,f2]) ).
fof(f168,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f76,f2]) ).
fof(f177,plain,
! [X2,X0,X1] :
( sum(multiply(X0,inverse(X1)),additive_identity,multiply(X2,inverse(X1)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f168,f20]) ).
fof(f182,plain,
! [X2,X0,X1] :
( sum(multiply(X0,X1),additive_identity,multiply(X2,X1))
| ~ sum(X0,inverse(X1),X2) ),
inference(resolution,[],[f168,f19]) ).
fof(f190,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f70,f2]) ).
fof(f199,plain,
! [X2,X0,X1] :
( sum(multiply(X1,X0),additive_identity,multiply(X1,X2))
| ~ sum(X0,inverse(X1),X2) ),
inference(resolution,[],[f190,f20]) ).
fof(f204,plain,
! [X2,X0,X1] :
( sum(multiply(inverse(X1),X0),additive_identity,multiply(inverse(X1),X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f190,f19]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] :
( sum(X0,multiply(X3,X1),multiply(X4,X2))
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f90,f2]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2)
| product(X3,X2,add(X4,multiply(X3,X1))) ),
inference(resolution,[],[f111,f1]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( product(X3,X2,add(multiply(X3,X0),multiply(X3,X1)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f247,f2]) ).
fof(f405,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f84,f1]) ).
fof(f406,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[],[f84,f63]) ).
fof(f407,plain,
! [X2,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| multiply(X0,X1) = multiply(X2,X1) ),
inference(resolution,[],[f84,f182]) ).
fof(f408,plain,
! [X2,X0,X1] :
( ~ sum(X1,inverse(X0),X2)
| multiply(X0,X1) = multiply(X0,X2) ),
inference(resolution,[],[f84,f199]) ).
fof(f410,plain,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| multiply(inverse(X0),X2) = multiply(inverse(X0),X1) ),
inference(resolution,[],[f84,f204]) ).
fof(f414,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),add(X0,X1)),
inference(resolution,[],[f410,f63]) ).
fof(f417,plain,
! [X0] : multiply(inverse(inverse(X0)),multiplicative_identity) = multiply(inverse(inverse(X0)),X0),
inference(resolution,[],[f410,f18]) ).
fof(f426,plain,
multiply(inverse(y),x_plus_y) = multiply(inverse(y),x),
inference(resolution,[],[f410,f23]) ).
fof(f438,plain,
multiply(sF1,x_plus_y) = multiply(sF1,x),
inference(forward_demodulation,[],[f426,f30]) ).
fof(f551,plain,
! [X0] : multiply(X0,additive_identity) = multiply(X0,inverse(X0)),
inference(resolution,[],[f408,f5]) ).
fof(f668,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(additive_identity,X0),
inference(resolution,[],[f407,f5]) ).
fof(f669,plain,
! [X0] : multiply(multiplicative_identity,X0) = multiply(inverse(inverse(X0)),X0),
inference(resolution,[],[f407,f17]) ).
fof(f900,plain,
multiply(additive_identity,x) = multiply(sF0,x),
inference(superposition,[],[f668,f28]) ).
fof(f1081,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X0,inverse(X1)) = multiply(X2,inverse(X1)) ),
inference(resolution,[],[f177,f84]) ).
fof(f1109,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(add(X0,X1),inverse(X1)),
inference(resolution,[],[f1081,f1]) ).
fof(f1326,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f64,f63]) ).
fof(f1327,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X2,X4)
| ~ sum(X0,X1,X3)
| multiply(X3,X4) = add(X0,multiply(X1,X2)) ),
inference(resolution,[],[f64,f224]) ).
fof(f1339,plain,
x_plus_y = add(x,y),
inference(resolution,[],[f64,f23]) ).
fof(f1341,plain,
x_plus_y = add(y,x),
inference(resolution,[],[f64,f53]) ).
fof(f1344,plain,
multiplicative_identity = add(sF0,x),
inference(resolution,[],[f64,f40]) ).
fof(f1345,plain,
multiplicative_identity = add(sF1,y),
inference(resolution,[],[f64,f39]) ).
fof(f1414,plain,
x_inverse_times_y_inverse = multiply(sF0,sF1),
inference(resolution,[],[f36,f2]) ).
fof(f1467,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f66,f20]) ).
fof(f1469,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f66,f65]) ).
fof(f1474,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(resolution,[],[f66,f7]) ).
fof(f1475,plain,
! [X0] : additive_identity = multiply(inverse(X0),X0),
inference(resolution,[],[f66,f19]) ).
fof(f1480,plain,
additive_identity = multiply(sF0,x),
inference(resolution,[],[f66,f44]) ).
fof(f1487,plain,
additive_identity = multiply(additive_identity,x),
inference(forward_demodulation,[],[f1480,f900]) ).
fof(f1491,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f1475,f668]) ).
fof(f1492,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(forward_demodulation,[],[f1467,f551]) ).
fof(f2000,plain,
! [X2,X0,X1] :
( ~ sum(X1,X2,multiplicative_identity)
| add(multiply(X0,X1),multiply(X0,X2)) = X0 ),
inference(resolution,[],[f68,f255]) ).
fof(f2002,plain,
additive_identity = inverse(multiplicative_identity),
inference(resolution,[],[f68,f19]) ).
fof(f2006,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(resolution,[],[f2000,f18]) ).
fof(f2008,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X0,X1)) = X0,
inference(resolution,[],[f2000,f17]) ).
fof(f2056,plain,
! [X0] : inverse(inverse(X0)) = add(multiply(inverse(inverse(X0)),inverse(multiplicative_identity)),multiply(inverse(inverse(X0)),X0)),
inference(superposition,[],[f2008,f417]) ).
fof(f2096,plain,
! [X0] : inverse(inverse(X0)) = add(multiply(inverse(inverse(X0)),inverse(multiplicative_identity)),multiply(multiplicative_identity,X0)),
inference(forward_demodulation,[],[f2056,f669]) ).
fof(f2126,plain,
! [X0] : inverse(inverse(X0)) = add(multiply(inverse(inverse(X0)),inverse(multiplicative_identity)),X0),
inference(forward_demodulation,[],[f2096,f1474]) ).
fof(f2152,plain,
! [X0] : inverse(inverse(X0)) = add(multiply(inverse(inverse(X0)),additive_identity),X0),
inference(forward_demodulation,[],[f2126,f2002]) ).
fof(f2166,plain,
! [X0] : add(additive_identity,X0) = inverse(inverse(X0)),
inference(forward_demodulation,[],[f2152,f1492]) ).
fof(f2170,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f2166,f406]) ).
fof(f2175,plain,
x = inverse(sF0),
inference(superposition,[],[f2170,f28]) ).
fof(f3222,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,multiply(X1,X3)) = multiply(X2,add(X0,X3)) ),
inference(resolution,[],[f1327,f1]) ).
fof(f3225,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,X0) = add(X0,multiply(X1,additive_identity)) ),
inference(resolution,[],[f1327,f6]) ).
fof(f3257,plain,
! [X2,X0,X1] :
( multiply(X2,X0) = add(X0,additive_identity)
| ~ sum(X0,X1,X2) ),
inference(forward_demodulation,[],[f3225,f1492]) ).
fof(f3262,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,X0) = X0 ),
inference(forward_demodulation,[],[f3257,f405]) ).
fof(f3263,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(resolution,[],[f3222,f1]) ).
fof(f3266,plain,
! [X0,X1] : add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X0,X1)),
inference(resolution,[],[f3222,f6]) ).
fof(f3267,plain,
! [X0,X1] : multiply(multiplicative_identity,add(X0,X1)) = add(X0,multiply(inverse(X0),X1)),
inference(resolution,[],[f3222,f18]) ).
fof(f3276,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = multiply(multiplicative_identity,add(inverse(X0),X1)),
inference(resolution,[],[f3222,f17]) ).
fof(f3291,plain,
! [X0,X1] : add(inverse(X0),X1) = add(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f3276,f1474]) ).
fof(f3297,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f3267,f1474]) ).
fof(f3298,plain,
! [X0,X1] : add(X0,additive_identity) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[],[f3266,f1491]) ).
fof(f3303,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f3298,f405]) ).
fof(f3313,plain,
! [X0] : add(X0,X0) = add(X0,multiply(additive_identity,X0)),
inference(superposition,[],[f3297,f668]) ).
fof(f3317,plain,
! [X0,X1] : add(X1,X0) = add(X1,multiply(X0,inverse(X1))),
inference(superposition,[],[f3297,f1469]) ).
fof(f3354,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(forward_demodulation,[],[f3313,f1491]) ).
fof(f3369,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f3354,f405]) ).
fof(f3390,plain,
x = multiply(x,x_plus_y),
inference(superposition,[],[f3303,f1339]) ).
fof(f3391,plain,
y = multiply(y,x_plus_y),
inference(superposition,[],[f3303,f1341]) ).
fof(f3502,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f3263,f3369]) ).
fof(f3519,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X0,X1),X0),
inference(superposition,[],[f3263,f3369]) ).
fof(f3606,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f3502,f3303]) ).
fof(f3718,plain,
! [X0,X1] : add(X1,multiply(X0,X1)) = X1,
inference(superposition,[],[f3606,f1469]) ).
fof(f3753,plain,
sF0 = add(sF0,x_inverse_times_y_inverse),
inference(superposition,[],[f3606,f1414]) ).
fof(f3804,plain,
sF0 = add(x_inverse_times_y_inverse,sF0),
inference(superposition,[],[f1326,f3753]) ).
fof(f3809,plain,
! [X0] : add(sF0,multiply(x_inverse_times_y_inverse,X0)) = multiply(sF0,add(sF0,X0)),
inference(superposition,[],[f3263,f3753]) ).
fof(f3814,plain,
! [X0] : sF0 = add(sF0,multiply(x_inverse_times_y_inverse,X0)),
inference(forward_demodulation,[],[f3809,f3303]) ).
fof(f3889,plain,
add(inverse(x),x) = add(inverse(x),x_plus_y),
inference(superposition,[],[f3291,f3390]) ).
fof(f3890,plain,
add(inverse(y),y) = add(inverse(y),x_plus_y),
inference(superposition,[],[f3291,f3391]) ).
fof(f3899,plain,
add(inverse(sF0),sF1) = add(inverse(sF0),x_inverse_times_y_inverse),
inference(superposition,[],[f3291,f1414]) ).
fof(f3919,plain,
add(x,sF1) = add(x,x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f3899,f2175]) ).
fof(f3928,plain,
add(sF1,y) = add(sF1,x_plus_y),
inference(forward_demodulation,[],[f3890,f30]) ).
fof(f3929,plain,
add(sF0,x) = add(sF0,x_plus_y),
inference(forward_demodulation,[],[f3889,f28]) ).
fof(f3956,plain,
multiplicative_identity = add(sF1,x_plus_y),
inference(forward_demodulation,[],[f3928,f1345]) ).
fof(f3957,plain,
multiplicative_identity = add(sF0,x_plus_y),
inference(forward_demodulation,[],[f3929,f1344]) ).
fof(f3997,plain,
multiply(multiplicative_identity,inverse(x_plus_y)) = multiply(sF1,inverse(x_plus_y)),
inference(superposition,[],[f1109,f3956]) ).
fof(f4014,plain,
multiply(multiplicative_identity,sF2) = multiply(sF1,sF2),
inference(forward_demodulation,[],[f3997,f33]) ).
fof(f4020,plain,
sF2 = multiply(sF1,sF2),
inference(forward_demodulation,[],[f4014,f1474]) ).
fof(f4088,plain,
sF1 = add(sF2,multiply(sF1,inverse(sF2))),
inference(superposition,[],[f2006,f4020]) ).
fof(f4092,plain,
sF1 = add(sF2,sF1),
inference(forward_demodulation,[],[f4088,f3317]) ).
fof(f4151,plain,
multiply(multiplicative_identity,inverse(x_plus_y)) = multiply(sF0,inverse(x_plus_y)),
inference(superposition,[],[f1109,f3957]) ).
fof(f4168,plain,
multiply(multiplicative_identity,sF2) = multiply(sF0,sF2),
inference(forward_demodulation,[],[f4151,f33]) ).
fof(f4174,plain,
sF2 = multiply(sF0,sF2),
inference(forward_demodulation,[],[f4168,f1474]) ).
fof(f4244,plain,
sF0 = add(sF2,multiply(sF0,inverse(sF2))),
inference(superposition,[],[f2006,f4174]) ).
fof(f4248,plain,
sF0 = add(sF2,sF0),
inference(forward_demodulation,[],[f4244,f3317]) ).
fof(f4276,plain,
! [X0] : add(sF2,multiply(sF0,X0)) = multiply(sF0,add(sF2,X0)),
inference(superposition,[],[f3263,f4248]) ).
fof(f4397,plain,
! [X0] : add(x,multiply(sF1,X0)) = multiply(add(x,x_inverse_times_y_inverse),add(x,X0)),
inference(superposition,[],[f3263,f3919]) ).
fof(f4402,plain,
! [X0] : add(x,multiply(sF1,X0)) = add(x,multiply(x_inverse_times_y_inverse,X0)),
inference(forward_demodulation,[],[f4397,f3263]) ).
fof(f5416,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
inference(resolution,[],[f3262,f63]) ).
fof(f5477,plain,
! [X0] : multiply(x_inverse_times_y_inverse,X0) = multiply(sF0,multiply(x_inverse_times_y_inverse,X0)),
inference(superposition,[],[f5416,f3814]) ).
fof(f6556,plain,
multiply(sF0,inverse(sF0)) = multiply(x_inverse_times_y_inverse,inverse(sF0)),
inference(superposition,[],[f1109,f3804]) ).
fof(f6567,plain,
multiply(sF0,x) = multiply(x_inverse_times_y_inverse,x),
inference(forward_demodulation,[],[f6556,f2175]) ).
fof(f6569,plain,
multiply(additive_identity,x) = multiply(x_inverse_times_y_inverse,x),
inference(forward_demodulation,[],[f6567,f900]) ).
fof(f6571,plain,
additive_identity = multiply(x_inverse_times_y_inverse,x),
inference(forward_demodulation,[],[f6569,f1487]) ).
fof(f8174,plain,
multiply(sF0,sF1) = add(sF2,multiply(sF0,sF1)),
inference(superposition,[],[f4276,f4092]) ).
fof(f8251,plain,
x_inverse_times_y_inverse = add(sF2,x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f8174,f1414]) ).
fof(f8285,plain,
multiply(x_inverse_times_y_inverse,sF2) = add(sF2,multiply(x_inverse_times_y_inverse,sF2)),
inference(superposition,[],[f3519,f8251]) ).
fof(f8289,plain,
sF2 = multiply(x_inverse_times_y_inverse,sF2),
inference(forward_demodulation,[],[f8285,f3718]) ).
fof(f14864,plain,
! [X0] : multiply(inverse(x),multiply(sF1,X0)) = multiply(inverse(x),add(x,multiply(x_inverse_times_y_inverse,X0))),
inference(superposition,[],[f414,f4402]) ).
fof(f15106,plain,
! [X0] : multiply(inverse(x),multiply(sF1,X0)) = multiply(inverse(x),multiply(x_inverse_times_y_inverse,X0)),
inference(forward_demodulation,[],[f14864,f414]) ).
fof(f15215,plain,
! [X0] : multiply(sF0,multiply(x_inverse_times_y_inverse,X0)) = multiply(sF0,multiply(sF1,X0)),
inference(forward_demodulation,[],[f15106,f28]) ).
fof(f15266,plain,
! [X0] : multiply(x_inverse_times_y_inverse,X0) = multiply(sF0,multiply(sF1,X0)),
inference(forward_demodulation,[],[f15215,f5477]) ).
fof(f16050,plain,
multiply(x_inverse_times_y_inverse,x_plus_y) = multiply(sF0,multiply(sF1,x)),
inference(superposition,[],[f15266,f438]) ).
fof(f16103,plain,
multiply(x_inverse_times_y_inverse,x) = multiply(x_inverse_times_y_inverse,x_plus_y),
inference(forward_demodulation,[],[f16050,f15266]) ).
fof(f16123,plain,
additive_identity = multiply(x_inverse_times_y_inverse,x_plus_y),
inference(forward_demodulation,[],[f16103,f6571]) ).
fof(f16173,plain,
x_inverse_times_y_inverse = add(multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),additive_identity),
inference(superposition,[],[f2008,f16123]) ).
fof(f16186,plain,
x_inverse_times_y_inverse = multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),
inference(forward_demodulation,[],[f16173,f405]) ).
fof(f16200,plain,
x_inverse_times_y_inverse = multiply(x_inverse_times_y_inverse,sF2),
inference(forward_demodulation,[],[f16186,f33]) ).
fof(f16202,plain,
x_inverse_times_y_inverse = sF2,
inference(forward_demodulation,[],[f16200,f8289]) ).
fof(f16204,plain,
$false,
inference(forward_subsumption_resolution,[],[f16202,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO014-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n013.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 21:03:21 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running first-order theorem proving
% 0.09/0.28 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
% 9.27/2.10 % (1577500)Input is clausal, will run a generic CNF schedule.
% 9.27/2.10 % (1577514)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2776860591:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.27/2.10 % (1577515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3430467150:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.27/2.10 % (1577519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2374391287:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.27/2.10 % (1577516)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=710449039:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.27/2.10 % (1577517)lrs+10_1_sil=8000:sp=occurrence:random_seed=280188912:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.27/2.10 % (1577520)dis-21_1_sil=8000:lcm=predicate:random_seed=3514913547:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.27/2.10 % (1577518)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2532952571:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.27/2.10 % (1577517)Instruction limit reached!
% 9.27/2.10 % (1577517)------------------------------
% 9.27/2.10 % (1577517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577517)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577517)Termination reason: Instruction limit
% 9.27/2.10 % (1577517)Termination phase: Saturation
% 9.27/2.10 % (1577517)Time elapsed: 0.067 s
% 9.27/2.10 % (1577517)Peak memory usage: 89 MB
% 9.27/2.10 % (1577517)Instructions burned: 107 (million)
% 9.27/2.10 % (1577520)Instruction limit reached!
% 9.27/2.10 % (1577520)------------------------------
% 9.27/2.10 % (1577520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577520)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577520)Termination reason: Instruction limit
% 9.27/2.10 % (1577520)Termination phase: Saturation
% 9.27/2.10 % (1577520)Time elapsed: 0.058 s
% 9.27/2.10 % (1577520)Peak memory usage: 88 MB
% 9.27/2.10 % (1577520)Instructions burned: 117 (million)
% 9.27/2.10 % (1577519)Instruction limit reached!
% 9.27/2.10 % (1577519)------------------------------
% 9.27/2.10 % (1577519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577519)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577519)Termination reason: Instruction limit
% 9.27/2.10 % (1577519)Termination phase: Saturation
% 9.27/2.10 % (1577519)Time elapsed: 0.107 s
% 9.27/2.10 % (1577519)Peak memory usage: 88 MB
% 9.27/2.10 % (1577519)Instructions burned: 182 (million)
% 9.27/2.10 % (1577518)Instruction limit reached!
% 9.27/2.10 % (1577518)------------------------------
% 9.27/2.10 % (1577518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577518)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577518)Termination reason: Instruction limit
% 9.27/2.10 % (1577518)Termination phase: Saturation
% 9.27/2.10 % (1577518)Time elapsed: 0.101 s
% 9.27/2.10 % (1577518)Peak memory usage: 88 MB
% 9.27/2.10 % (1577518)Instructions burned: 115 (million)
% 9.27/2.10 % (1577528)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=666451767:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.27/2.10 % (1577529)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3282499884:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 9.27/2.10 % (1577530)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1646599258:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.27/2.10 % (1577531)lrs+10_64_to=lpo:sil=8000:random_seed=3928893285:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 9.27/2.10 % (1577528)Instruction limit reached!
% 9.27/2.10 % (1577528)------------------------------
% 9.27/2.10 % (1577528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577528)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577528)Termination reason: Instruction limit
% 9.27/2.10 % (1577528)Termination phase: Saturation
% 9.27/2.10 % (1577528)Time elapsed: 0.095 s
% 9.27/2.10 % (1577528)Peak memory usage: 89 MB
% 9.27/2.10 % (1577528)Instructions burned: 143 (million)
% 9.27/2.10 % (1577529)Instruction limit reached!
% 9.27/2.10 % (1577529)------------------------------
% 9.27/2.10 % (1577529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577529)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577529)Termination reason: Instruction limit
% 9.27/2.10 % (1577529)Termination phase: Saturation
% 9.27/2.10 % (1577529)Time elapsed: 0.098 s
% 9.27/2.10 % (1577529)Peak memory usage: 90 MB
% 9.27/2.10 % (1577529)Instructions burned: 190 (million)
% 9.27/2.10 % (1577531)Instruction limit reached!
% 9.27/2.10 % (1577531)------------------------------
% 9.27/2.10 % (1577531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577531)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577531)Termination reason: Instruction limit
% 9.27/2.10 % (1577531)Termination phase: Saturation
% 9.27/2.10 % (1577531)Time elapsed: 0.079 s
% 9.27/2.10 % (1577531)Peak memory usage: 89 MB
% 9.27/2.10 % (1577531)Instructions burned: 127 (million)
% 9.27/2.10 % (1577530)Instruction limit reached!
% 9.27/2.10 % (1577530)------------------------------
% 9.27/2.10 % (1577530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577530)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577530)Termination reason: Instruction limit
% 9.27/2.10 % (1577530)Termination phase: Saturation
% 9.27/2.10 % (1577530)Time elapsed: 0.131 s
% 9.27/2.10 % (1577530)Peak memory usage: 89 MB
% 9.27/2.10 % (1577530)Instructions burned: 220 (million)
% 9.27/2.10 % (1577536)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3492180230:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.27/2.10 % (1577537)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1948223632:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 9.27/2.10 % (1577538)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=503237746:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.27/2.10 % (1577539)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1895457690:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 9.27/2.10 % (1577536)Instruction limit reached!
% 9.27/2.10 % (1577536)------------------------------
% 9.27/2.10 % (1577536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577536)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577536)Termination reason: Instruction limit
% 9.27/2.10 % (1577536)Termination phase: Saturation
% 9.27/2.10 % (1577536)Time elapsed: 0.121 s
% 9.27/2.10 % (1577536)Peak memory usage: 88 MB
% 9.27/2.10 % (1577536)Instructions burned: 195 (million)
% 9.27/2.10 % (1577537)Instruction limit reached!
% 9.27/2.10 % (1577537)------------------------------
% 9.27/2.10 % (1577537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577537)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577537)Termination reason: Instruction limit
% 9.27/2.10 % (1577537)Termination phase: Saturation
% 9.27/2.10 % (1577537)Time elapsed: 0.104 s
% 9.27/2.10 % (1577537)Peak memory usage: 90 MB
% 9.27/2.10 % (1577537)Instructions burned: 158 (million)
% 9.27/2.10 % (1577539)Instruction limit reached!
% 9.27/2.10 % (1577539)------------------------------
% 9.27/2.10 % (1577539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577539)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577539)Termination reason: Instruction limit
% 9.27/2.10 % (1577539)Termination phase: Saturation
% 9.27/2.10 % (1577539)Time elapsed: 0.060 s
% 9.27/2.10 % (1577539)Peak memory usage: 89 MB
% 9.27/2.10 % (1577539)Instructions burned: 108 (million)
% 9.27/2.10 % (1577551)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=110740306:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.27/2.10 % (1577556)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3017406121:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.27/2.10 % (1577559)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4103811717:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.27/2.10 % (1577551)Instruction limit reached!
% 9.27/2.10 % (1577551)------------------------------
% 9.27/2.10 % (1577551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577551)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577551)Termination reason: Instruction limit
% 9.27/2.10 % (1577551)Termination phase: Saturation
% 9.27/2.10 % (1577551)Time elapsed: 0.071 s
% 9.27/2.10 % (1577551)Peak memory usage: 88 MB
% 9.27/2.10 % (1577551)Instructions burned: 108 (million)
% 9.27/2.10 % (1577556)Instruction limit reached!
% 9.27/2.10 % (1577556)------------------------------
% 9.27/2.10 % (1577556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577556)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577556)Termination reason: Instruction limit
% 9.27/2.10 % (1577556)Termination phase: Saturation
% 9.27/2.10 % (1577556)Time elapsed: 0.154 s
% 9.27/2.10 % (1577556)Peak memory usage: 88 MB
% 9.27/2.10 % (1577556)Instructions burned: 242 (million)
% 9.27/2.10 % (1577642)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1248740167:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 9.27/2.10 % (1577514)First to succeed.
% 9.27/2.10 % (1577514)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1577500"
% 9.27/2.10 % (1577642)Instruction limit reached!
% 9.27/2.10 % (1577642)------------------------------
% 9.27/2.10 % (1577642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.10 % (1577642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.10 % (1577642)CaDiCaL version: 2.1.3
% 9.27/2.10 % (1577642)Termination reason: Instruction limit
% 9.27/2.10 % (1577642)Termination phase: Saturation
% 9.27/2.10 % (1577642)Time elapsed: 0.092 s
% 9.27/2.10 % (1577642)Peak memory usage: 89 MB
% 9.27/2.10 % (1577642)Instructions burned: 134 (million)
% 9.27/2.10 % (1577683)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1778006539:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.27/2.10 % (1577514)Refutation found. Thanks to Tanya!
% 9.27/2.10 % SZS status Unsatisfiable for theBenchmark
% 9.27/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 9.92/2.30 % (1577514)------------------------------
% 9.92/2.30 % (1577514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.30 % (1577514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.30 % (1577514)CaDiCaL version: 2.1.3
% 9.92/2.30 % (1577514)Termination reason: Refutation
% 9.92/2.30 % (1577514)Time elapsed: 1.013 s
% 9.92/2.30 % (1577514)Peak memory usage: 147 MB
% 9.92/2.30 % (1577514)Instructions burned: 2939 (million)
% 9.92/2.30 % (1577514)------------------------------
% 9.92/2.30 % (1577514)------------------------------
% 9.92/2.30 % (1577500)Success in time 1.308 s
% 9.92/2.30 % Vampire exiting
%------------------------------------------------------------------------------