%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:36:07 AM UTC 2026
% Result : Unsatisfiable 32.19s 7.21s
% Output : Refutation 32.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 140 ( 85 unt; 0 def)
% Number of atoms : 235 ( 40 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 191 ( 96 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 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/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(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(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/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity3) ).
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(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(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_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,axiom,
sum(y,z,y_plus_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',y_plus_z) ).
fof(f24,axiom,
sum(x,y_plus_z,x__plus_y_plus_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus__y_plus_z) ).
fof(f25,axiom,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus_y) ).
fof(f26,axiom,
sum(x_plus_y,z,x_plus_y__plus_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_plus_y__plus_z) ).
fof(f27,negated_conjecture,
x__plus_y_plus_z != x_plus_y__plus_z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality) ).
fof(f30,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f33,plain,
sum(z,y,y_plus_z),
inference(resolution,[],[f3,f23]) ).
fof(f34,plain,
sum(y_plus_z,x,x__plus_y_plus_z),
inference(resolution,[],[f3,f24]) ).
fof(f35,plain,
sum(y,x,x_plus_y),
inference(resolution,[],[f3,f25]) ).
fof(f36,plain,
sum(z,x_plus_y,x_plus_y__plus_z),
inference(resolution,[],[f3,f26]) ).
fof(f41,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f42,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f6]) ).
fof(f43,plain,
! [X0,X1] :
( ~ sum(X0,inverse(X0),X1)
| multiplicative_identity = X1 ),
inference(resolution,[],[f21,f18]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f21,f1]) ).
fof(f47,plain,
! [X0] :
( ~ sum(y,z,X0)
| y_plus_z = X0 ),
inference(resolution,[],[f21,f23]) ).
fof(f48,plain,
! [X0] :
( ~ sum(x,y_plus_z,X0)
| x__plus_y_plus_z = X0 ),
inference(resolution,[],[f21,f24]) ).
fof(f49,plain,
! [X0] :
( ~ sum(x,y,X0)
| x_plus_y = X0 ),
inference(resolution,[],[f21,f25]) ).
fof(f50,plain,
! [X0] :
( ~ sum(x_plus_y,z,X0)
| x_plus_y__plus_z = X0 ),
inference(resolution,[],[f21,f26]) ).
fof(f53,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f7]) ).
fof(f54,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f8]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f22,f2]) ).
fof(f62,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(f67,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(multiply(X0,X3),X2,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
inference(resolution,[],[f10,f2]) ).
fof(f68,plain,
! [X0] :
( ~ sum(y_plus_z,x,X0)
| x__plus_y_plus_z = X0 ),
inference(resolution,[],[f34,f21]) ).
fof(f74,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(f88,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,multiply(X3,X1),X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| product(X4,X2,X5) ),
inference(resolution,[],[f13,f2]) ).
fof(f89,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(f103,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X5)
| sum(X4,X1,multiply(X5,X2)) ),
inference(resolution,[],[f16,f2]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[],[f30,f21]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X1,X0) = X2 ),
inference(resolution,[],[f41,f22]) ).
fof(f118,plain,
y_plus_z = add(z,y),
inference(resolution,[],[f47,f30]) ).
fof(f123,plain,
x__plus_y_plus_z = add(y_plus_z,x),
inference(resolution,[],[f48,f30]) ).
fof(f125,plain,
x_plus_y = add(x,y),
inference(resolution,[],[f49,f1]) ).
fof(f128,plain,
x_plus_y__plus_z = add(x_plus_y,z),
inference(resolution,[],[f50,f1]) ).
fof(f131,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f42,f1]) ).
fof(f149,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(resolution,[],[f53,f2]) ).
fof(f150,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f53,f41]) ).
fof(f189,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f44,f30]) ).
fof(f205,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f57,f41]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| ~ sum(X0,X1,X3)
| sum(X0,X2,X3) ),
inference(resolution,[],[f89,f18]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ sum(multiplicative_identity,X0,X1)
| ~ product(X2,X0,X3)
| sum(X2,X3,multiply(X2,X1)) ),
inference(resolution,[],[f62,f8]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,additive_identity)
| ~ sum(X0,X1,X2)
| product(X3,X2,multiply(X3,X0)) ),
inference(resolution,[],[f67,f6]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X0),X4)) ),
inference(resolution,[],[f67,f1]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ sum(multiplicative_identity,X0,X1)
| ~ product(X0,X2,X3)
| sum(X2,X3,multiply(X1,X2)) ),
inference(resolution,[],[f74,f7]) ).
fof(f402,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X2,X3)) ),
inference(resolution,[],[f74,f41]) ).
fof(f415,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| product(X2,X4,add(X0,multiply(X1,X3))) ),
inference(resolution,[],[f88,f1]) ).
fof(f446,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X1,multiply(X4,X2)) ),
inference(resolution,[],[f103,f41]) ).
fof(f786,plain,
! [X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| sum(X0,inverse(X0),X1) ),
inference(resolution,[],[f267,f8]) ).
fof(f1347,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X0,X2,multiply(X0,add(multiplicative_identity,X1))) ),
inference(resolution,[],[f370,f1]) ).
fof(f1367,plain,
! [X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| product(additive_identity,X1,multiply(additive_identity,X0)) ),
inference(resolution,[],[f384,f8]) ).
fof(f1389,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X1,X2,multiply(add(multiplicative_identity,X0),X1)) ),
inference(resolution,[],[f397,f1]) ).
fof(f2160,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X0),multiply(X3,X1))) ),
inference(resolution,[],[f386,f2]) ).
fof(f2217,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),multiply(X3,X1),multiply(X2,X3)) ),
inference(resolution,[],[f402,f41]) ).
fof(f2255,plain,
! [X0,X1] :
( ~ sum(y,X0,X1)
| product(X1,y_plus_z,add(y,multiply(X0,z))) ),
inference(resolution,[],[f415,f23]) ).
fof(f2256,plain,
! [X0,X1] :
( ~ sum(y,X0,X1)
| product(X1,x_plus_y,add(y,multiply(X0,x))) ),
inference(resolution,[],[f415,f35]) ).
fof(f2257,plain,
! [X0,X1] :
( ~ sum(z,X0,X1)
| product(X1,y_plus_z,add(z,multiply(X0,y))) ),
inference(resolution,[],[f415,f33]) ).
fof(f2259,plain,
! [X0,X1] :
( ~ sum(y_plus_z,X0,X1)
| product(X1,x__plus_y_plus_z,add(y_plus_z,multiply(X0,x))) ),
inference(resolution,[],[f415,f34]) ).
fof(f2260,plain,
! [X0,X1] :
( ~ sum(x,X0,X1)
| product(X1,x__plus_y_plus_z,add(x,multiply(X0,y_plus_z))) ),
inference(resolution,[],[f415,f24]) ).
fof(f2261,plain,
! [X0,X1] :
( ~ sum(x,X0,X1)
| product(X1,x_plus_y,add(x,multiply(X0,y))) ),
inference(resolution,[],[f415,f25]) ).
fof(f2262,plain,
! [X0,X1] :
( ~ sum(x_plus_y,X0,X1)
| product(X1,x_plus_y__plus_z,add(x_plus_y,multiply(X0,z))) ),
inference(resolution,[],[f415,f26]) ).
fof(f2461,plain,
! [X0,X1] :
( ~ sum(X0,x,X1)
| sum(multiply(X0,y_plus_z),x,multiply(x__plus_y_plus_z,X1)) ),
inference(resolution,[],[f446,f34]) ).
fof(f2965,plain,
! [X0] : sum(X0,inverse(X0),add(X0,multiplicative_identity)),
inference(resolution,[],[f786,f1]) ).
fof(f2974,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(resolution,[],[f2965,f43]) ).
fof(f3133,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(superposition,[],[f2974,f189]) ).
fof(f5868,plain,
! [X0] : product(additive_identity,add(multiplicative_identity,X0),multiply(additive_identity,X0)),
inference(resolution,[],[f1367,f30]) ).
fof(f5881,plain,
! [X0] : product(additive_identity,multiplicative_identity,multiply(additive_identity,X0)),
inference(forward_demodulation,[],[f5868,f3133]) ).
fof(f5912,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f5881,f54]) ).
fof(f8781,plain,
product(y,y_plus_z,add(y,multiply(additive_identity,z))),
inference(resolution,[],[f2255,f6]) ).
fof(f8796,plain,
product(y,y_plus_z,add(y,additive_identity)),
inference(forward_demodulation,[],[f8781,f5912]) ).
fof(f8807,plain,
product(y,y_plus_z,y),
inference(forward_demodulation,[],[f8796,f131]) ).
fof(f8830,plain,
product(y,x_plus_y,add(y,multiply(additive_identity,x))),
inference(resolution,[],[f2256,f6]) ).
fof(f8845,plain,
product(y,x_plus_y,add(y,additive_identity)),
inference(forward_demodulation,[],[f8830,f5912]) ).
fof(f8855,plain,
product(y,x_plus_y,y),
inference(forward_demodulation,[],[f8845,f131]) ).
fof(f8872,plain,
product(x_plus_y__plus_z,y_plus_z,add(z,multiply(x_plus_y,y))),
inference(resolution,[],[f2257,f36]) ).
fof(f8878,plain,
product(z,y_plus_z,add(z,multiply(additive_identity,y))),
inference(resolution,[],[f2257,f6]) ).
fof(f8893,plain,
product(z,y_plus_z,add(z,additive_identity)),
inference(forward_demodulation,[],[f8878,f5912]) ).
fof(f8897,plain,
product(x_plus_y__plus_z,y_plus_z,add(z,multiply(y,x_plus_y))),
inference(forward_demodulation,[],[f8872,f205]) ).
fof(f8905,plain,
product(z,y_plus_z,z),
inference(forward_demodulation,[],[f8893,f131]) ).
fof(f8978,plain,
y = multiply(y,y_plus_z),
inference(resolution,[],[f8807,f57]) ).
fof(f9032,plain,
y = multiply(y,x_plus_y),
inference(resolution,[],[f8855,f57]) ).
fof(f9078,plain,
! [X0] : product(add(y_plus_z,X0),x__plus_y_plus_z,add(y_plus_z,multiply(X0,x))),
inference(resolution,[],[f2259,f1]) ).
fof(f9082,plain,
product(y_plus_z,x__plus_y_plus_z,add(y_plus_z,multiply(additive_identity,x))),
inference(resolution,[],[f2259,f6]) ).
fof(f9097,plain,
product(y_plus_z,x__plus_y_plus_z,add(y_plus_z,additive_identity)),
inference(forward_demodulation,[],[f9082,f5912]) ).
fof(f9107,plain,
product(y_plus_z,x__plus_y_plus_z,y_plus_z),
inference(forward_demodulation,[],[f9097,f131]) ).
fof(f9124,plain,
product(x_plus_y,x__plus_y_plus_z,add(x,multiply(y,y_plus_z))),
inference(resolution,[],[f2260,f25]) ).
fof(f9178,plain,
product(x,x_plus_y,add(x,multiply(additive_identity,y))),
inference(resolution,[],[f2261,f6]) ).
fof(f9193,plain,
product(x,x_plus_y,add(x,additive_identity)),
inference(forward_demodulation,[],[f9178,f5912]) ).
fof(f9205,plain,
product(x,x_plus_y,x),
inference(forward_demodulation,[],[f9193,f131]) ).
fof(f9241,plain,
z = multiply(y_plus_z,z),
inference(resolution,[],[f8905,f115]) ).
fof(f9349,plain,
y_plus_z = multiply(x__plus_y_plus_z,y_plus_z),
inference(resolution,[],[f9107,f115]) ).
fof(f9493,plain,
x = multiply(x,x_plus_y),
inference(resolution,[],[f9205,f57]) ).
fof(f9504,plain,
x = multiply(x_plus_y,x),
inference(resolution,[],[f9205,f115]) ).
fof(f12360,plain,
! [X2,X0,X1] :
( sum(X0,X2,multiply(X0,multiplicative_identity))
| ~ product(X0,X1,X2) ),
inference(forward_demodulation,[],[f1347,f3133]) ).
fof(f12361,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X0,X2,X0) ),
inference(forward_demodulation,[],[f12360,f150]) ).
fof(f12421,plain,
! [X0,X1] : sum(X0,multiply(X0,X1),X0),
inference(resolution,[],[f12361,f2]) ).
fof(f12756,plain,
! [X2,X0,X1] :
( sum(X1,X2,multiply(multiplicative_identity,X1))
| ~ product(X0,X1,X2) ),
inference(forward_demodulation,[],[f1389,f3133]) ).
fof(f12757,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X1,X2,X1) ),
inference(forward_demodulation,[],[f12756,f149]) ).
fof(f18597,plain,
! [X0] : product(X0,x_plus_y__plus_z,add(multiply(X0,z),multiply(X0,x_plus_y))),
inference(resolution,[],[f2160,f36]) ).
fof(f19803,plain,
! [X2,X0,X1] : sum(multiply(X0,X1),multiply(X0,X2),multiply(add(X2,X1),X0)),
inference(resolution,[],[f2217,f30]) ).
fof(f24162,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(resolution,[],[f12421,f104]) ).
fof(f30528,plain,
product(x_plus_y__plus_z,y_plus_z,add(z,y)),
inference(forward_demodulation,[],[f8897,f9032]) ).
fof(f30529,plain,
product(x_plus_y__plus_z,y_plus_z,y_plus_z),
inference(forward_demodulation,[],[f30528,f118]) ).
fof(f30540,plain,
y_plus_z = multiply(x_plus_y__plus_z,y_plus_z),
inference(resolution,[],[f30529,f57]) ).
fof(f30652,plain,
product(x_plus_y,x__plus_y_plus_z,add(x,y)),
inference(forward_demodulation,[],[f9124,f8978]) ).
fof(f30653,plain,
product(x_plus_y,x__plus_y_plus_z,x_plus_y),
inference(forward_demodulation,[],[f30652,f125]) ).
fof(f30675,plain,
x_plus_y = multiply(x__plus_y_plus_z,x_plus_y),
inference(resolution,[],[f30653,f115]) ).
fof(f56739,plain,
product(add(y_plus_z,x_plus_y),x__plus_y_plus_z,add(y_plus_z,x)),
inference(superposition,[],[f9078,f9504]) ).
fof(f56740,plain,
product(add(y_plus_z,x_plus_y),x__plus_y_plus_z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f56739,f123]) ).
fof(f57401,plain,
x__plus_y_plus_z = multiply(add(y_plus_z,x_plus_y),x__plus_y_plus_z),
inference(resolution,[],[f56740,f57]) ).
fof(f90466,plain,
! [X0] : sum(x_plus_y__plus_z,add(multiply(X0,z),multiply(X0,x_plus_y)),x_plus_y__plus_z),
inference(resolution,[],[f18597,f12757]) ).
fof(f310013,plain,
sum(multiply(x__plus_y_plus_z,x_plus_y),multiply(x__plus_y_plus_z,y_plus_z),x__plus_y_plus_z),
inference(superposition,[],[f19803,f57401]) ).
fof(f310340,plain,
sum(multiply(x__plus_y_plus_z,x_plus_y),y_plus_z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f310013,f9349]) ).
fof(f310354,plain,
sum(x_plus_y,y_plus_z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f310340,f30675]) ).
fof(f310365,plain,
product(x__plus_y_plus_z,x_plus_y__plus_z,add(x_plus_y,multiply(y_plus_z,z))),
inference(resolution,[],[f310354,f2262]) ).
fof(f310540,plain,
product(x__plus_y_plus_z,x_plus_y__plus_z,add(x_plus_y,z)),
inference(forward_demodulation,[],[f310365,f9241]) ).
fof(f310561,plain,
product(x__plus_y_plus_z,x_plus_y__plus_z,x_plus_y__plus_z),
inference(forward_demodulation,[],[f310540,f128]) ).
fof(f311158,plain,
x_plus_y__plus_z = multiply(x__plus_y_plus_z,x_plus_y__plus_z),
inference(resolution,[],[f310561,f57]) ).
fof(f335806,plain,
sum(x_plus_y__plus_z,add(multiply(x,z),x),x_plus_y__plus_z),
inference(superposition,[],[f90466,f9493]) ).
fof(f335811,plain,
sum(x_plus_y__plus_z,x,x_plus_y__plus_z),
inference(forward_demodulation,[],[f335806,f24162]) ).
fof(f336413,plain,
sum(multiply(x_plus_y__plus_z,y_plus_z),x,multiply(x__plus_y_plus_z,x_plus_y__plus_z)),
inference(resolution,[],[f335811,f2461]) ).
fof(f336577,plain,
sum(multiply(x_plus_y__plus_z,y_plus_z),x,x_plus_y__plus_z),
inference(forward_demodulation,[],[f336413,f311158]) ).
fof(f336593,plain,
sum(y_plus_z,x,x_plus_y__plus_z),
inference(forward_demodulation,[],[f336577,f30540]) ).
fof(f341067,plain,
x__plus_y_plus_z = x_plus_y__plus_z,
inference(resolution,[],[f336593,f68]) ).
fof(f341262,plain,
$false,
inference(forward_subsumption_resolution,[],[f341067,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n019.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:03:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 33.00/4.98 % (277254)Will run a generic schedule for satisfiability detection.
% 33.00/4.98 % (277266)% WARNING: option uhcvi not known.
% 33.00/4.98 % (277265)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1909748620_2999 on theBenchmark for (2999ds/0Mi)
% 33.00/4.98 % (277267)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=441058323:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 33.00/4.98 % (277270)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1484174570:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 33.00/4.98 % (277268)dis+10_1_sil=32000:sp=arity:random_seed=584502953:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 33.00/4.98 % (277269)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4085729024:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 33.00/4.98 % (277271)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3141061847:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 33.00/4.98 % TRYING [1]
% 33.00/4.98 % TRYING [2]
% 33.00/4.98 % (277266)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3105869212:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 33.00/4.98 % TRYING [3]
% 33.00/4.98 % TRYING [4]
% 33.00/4.98 % TRYING [5]
% 33.00/4.98 % (277269)Instruction limit reached!
% 33.00/4.98 % (277269)------------------------------
% 33.00/4.98 % (277269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.00/4.98 % (277269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.00/4.98 % (277269)CaDiCaL version: 2.1.3
% 33.00/4.98 % (277269)Termination reason: Instruction limit
% 33.00/4.98 % (277269)Termination phase: Saturation
% 33.00/4.98 % (277269)Time elapsed: 0.063 s
% 33.00/4.98 % (277269)Peak memory usage: 11 MB
% 33.00/4.98 % (277269)Instructions burned: 120 (million)
% 33.00/4.98 % (277268)Instruction limit reached!
% 33.00/4.98 % (277268)------------------------------
% 33.00/4.98 % (277268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.00/4.98 % (277268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.00/4.98 % (277268)CaDiCaL version: 2.1.3
% 33.00/4.98 % (277268)Termination reason: Instruction limit
% 33.00/4.98 % (277268)Termination phase: Saturation
% 33.00/4.98 % (277268)Time elapsed: 0.064 s
% 33.00/4.98 % (277268)Peak memory usage: 11 MB
% 33.00/4.98 % (277268)Instructions burned: 104 (million)
% 33.00/4.98 % (277310)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=386690856:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 33.00/4.98 % TRYING [1]
% 33.00/4.98 % TRYING [2]
% 33.00/4.98 % TRYING [3]
% 33.00/4.98 % (277270)Instruction limit reached!
% 33.00/4.98 % (277270)------------------------------
% 33.00/4.98 % (277270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.00/4.98 % (277270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.00/4.98 % (277270)CaDiCaL version: 2.1.3
% 33.00/4.98 % (277270)Termination reason: Instruction limit
% 33.00/4.98 % (277270)Termination phase: Saturation
% 33.00/4.98 % (277270)Time elapsed: 0.081 s
% 33.00/4.98 % (277270)Peak memory usage: 11 MB
% 33.00/4.98 % (277270)Instructions burned: 131 (million)
% 33.00/4.98 % (277311)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4230794212:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 33.00/4.98 % TRYING [4]
% 33.00/4.98 % (277315)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=4006809878:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 33.00/4.98 % TRYING [5]
% 33.00/4.98 % (277271)Instruction limit reached!
% 33.00/4.98 % (277271)------------------------------
% 33.00/4.98 % (277271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.00/4.98 % (277271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.00/4.98 % (277271)CaDiCaL version: 2.1.3
% 33.00/4.98 % (277271)Termination reason: Instruction limit
% 33.00/4.98 % (277271)Termination phase: Saturation
% 33.00/4.98 % (277271)Time elapsed: 0.110 s
% 33.00/4.98 % (277271)Peak memory usage: 12 MB
% 33.00/4.98 % (277271)Instructions burned: 161 (million)
% 33.00/4.98 % (277323)ott-21_1_sil=16000:fs=off:random_seed=1902490351:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 33.00/4.98 % (277311)Instruction limit reached!
% 33.00/4.98 % (277311)------------------------------
% 33.00/4.98 % (277311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.00/4.98 % (277311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277311)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277311)Termination reason: Instruction limit
% 32.19/7.21 % (277311)Termination phase: Saturation
% 32.19/7.21 % (277311)Time elapsed: 0.081 s
% 32.19/7.21 % (277311)Peak memory usage: 13 MB
% 32.19/7.21 % (277311)Instructions burned: 131 (million)
% 32.19/7.21 % TRYING [6]
% 32.19/7.21 % TRYING [6]
% 32.19/7.21 % (277336)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4168014426:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 32.19/7.21 % (277310)Instruction limit reached!
% 32.19/7.21 % (277310)------------------------------
% 32.19/7.21 % (277310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277310)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277310)Termination reason: Instruction limit
% 32.19/7.21 % (277310)Termination phase: Finite model building constraint generation
% 32.19/7.21 % (277310)Time elapsed: 0.144 s
% 32.19/7.21 % (277310)Peak memory usage: 29 MB
% 32.19/7.21 % (277310)Instructions burned: 715 (million)
% 32.19/7.21 % (277323)Instruction limit reached!
% 32.19/7.21 % (277323)------------------------------
% 32.19/7.21 % (277323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277323)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277323)Termination reason: Instruction limit
% 32.19/7.21 % (277323)Termination phase: Saturation
% 32.19/7.21 % (277323)Time elapsed: 0.089 s
% 32.19/7.21 % (277323)Peak memory usage: 11 MB
% 32.19/7.21 % (277323)Instructions burned: 180 (million)
% 32.19/7.21 % (277348)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3506363706:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 32.19/7.21 % (277347)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=234320197:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.19/7.21 % TRYING [1]
% 32.19/7.21 % TRYING [2]
% 32.19/7.21 % TRYING [3]
% 32.19/7.21 % TRYING [4]
% 32.19/7.21 % TRYING [5]
% 32.19/7.21 % TRYING [7]
% 32.19/7.21 % (277336)Instruction limit reached!
% 32.19/7.21 % (277336)------------------------------
% 32.19/7.21 % (277336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277336)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277336)Termination reason: Instruction limit
% 32.19/7.21 % (277336)Termination phase: Saturation
% 32.19/7.21 % (277336)Time elapsed: 0.304 s
% 32.19/7.21 % (277336)Peak memory usage: 13 MB
% 32.19/7.21 % (277336)Instructions burned: 477 (million)
% 32.19/7.21 % (277351)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1927524714:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 32.19/7.21 % TRYING [6]
% 32.19/7.21 % (277347)Instruction limit reached!
% 32.19/7.21 % (277347)------------------------------
% 32.19/7.21 % (277347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277347)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277347)Termination reason: Instruction limit
% 32.19/7.21 % (277347)Termination phase: Finite model building constraint generation
% 32.19/7.21 % (277347)Time elapsed: 0.304 s
% 32.19/7.21 % (277347)Peak memory usage: 23 MB
% 32.19/7.21 % (277347)Instructions burned: 866 (million)
% 32.19/7.21 % (277353)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=424453502: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)
% 32.19/7.21 % (277315)Instruction limit reached!
% 32.19/7.21 % (277315)------------------------------
% 32.19/7.21 % (277315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277315)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277315)Termination reason: Instruction limit
% 32.19/7.21 % (277315)Termination phase: Saturation
% 32.19/7.21 % (277315)Time elapsed: 0.512 s
% 32.19/7.21 % (277315)Peak memory usage: 16 MB
% 32.19/7.21 % (277315)Instructions burned: 685 (million)
% 32.19/7.21 % (277348)Instruction limit reached!
% 32.19/7.21 % (277348)------------------------------
% 32.19/7.21 % (277348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277348)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277348)Termination reason: Instruction limit
% 32.19/7.21 % (277348)Termination phase: Saturation
% 32.19/7.21 % (277348)Time elapsed: 0.394 s
% 32.19/7.21 % (277348)Peak memory usage: 16 MB
% 32.19/7.21 % (277348)Instructions burned: 1180 (million)
% 32.19/7.21 % (277355)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2166604519:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 32.19/7.21 % (277356)fmb+10_1_sil=64000:random_seed=835408277:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 32.19/7.21 % TRYING [1]
% 32.19/7.21 % TRYING [2]
% 32.19/7.21 % TRYING [3]
% 32.19/7.21 % TRYING [4]
% 32.19/7.21 % TRYING [5]
% 32.19/7.21 % TRYING [6]
% 32.19/7.21 % TRYING [14]
% 32.19/7.21 % (277351)Instruction limit reached!
% 32.19/7.21 % (277351)------------------------------
% 32.19/7.21 % (277351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277351)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277351)Termination reason: Instruction limit
% 32.19/7.21 % (277351)Termination phase: Finite model building constraint generation
% 32.19/7.21 % (277351)Time elapsed: 0.373 s
% 32.19/7.21 % (277351)Peak memory usage: 98 MB
% 32.19/7.21 % (277351)Instructions burned: 892 (million)
% 32.19/7.21 % (277365)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=436076494:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 32.19/7.21 % TRYING [20]
% 32.19/7.21 % (277353)Instruction limit reached!
% 32.19/7.21 % (277353)------------------------------
% 32.19/7.21 % (277353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277353)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277353)Termination reason: Instruction limit
% 32.19/7.21 % (277353)Termination phase: Saturation
% 32.19/7.21 % (277353)Time elapsed: 0.425 s
% 32.19/7.21 % (277353)Peak memory usage: 16 MB
% 32.19/7.21 % (277353)Instructions burned: 692 (million)
% 32.19/7.21 % (277369)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=790043438:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 32.19/7.21 % TRYING [8]
% 32.19/7.21 % TRYING [7]
% 32.19/7.21 % (277355)Instruction limit reached!
% 32.19/7.21 % (277355)------------------------------
% 32.19/7.21 % (277355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277355)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277355)Termination reason: Instruction limit
% 32.19/7.21 % (277355)Termination phase: Saturation
% 32.19/7.21 % (277355)Time elapsed: 0.674 s
% 32.19/7.21 % (277355)Peak memory usage: 15 MB
% 32.19/7.21 % (277355)Instructions burned: 879 (million)
% 32.19/7.21 % TRYING [8]
% 32.19/7.21 % (277381)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3523225303:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 32.19/7.21 % (277369)Instruction limit reached!
% 32.19/7.21 % (277369)------------------------------
% 32.19/7.21 % (277369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277369)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277369)Termination reason: Instruction limit
% 32.19/7.21 % (277369)Termination phase: Finite model building constraint generation
% 32.19/7.21 % (277369)Time elapsed: 0.572 s
% 32.19/7.21 % (277369)Peak memory usage: 79 MB
% 32.19/7.21 % (277369)Instructions burned: 920 (million)
% 32.19/7.21 % (277388)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3939365252:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 32.19/7.21 % TRYING [8]
% 32.19/7.21 % (277388)Instruction limit reached!
% 32.19/7.21 % (277388)------------------------------
% 32.19/7.21 % (277388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277388)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277388)Termination reason: Instruction limit
% 32.19/7.21 % (277388)Termination phase: Saturation
% 32.19/7.21 % (277388)Time elapsed: 1.152 s
% 32.19/7.21 % (277388)Peak memory usage: 26 MB
% 32.19/7.21 % (277388)Instructions burned: 1472 (million)
% 32.19/7.21 % (277407)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=854171420:i=6324_2971 on theBenchmark for (2971ds/6324Mi)
% 32.19/7.21 % TRYING [77]
% 32.19/7.21 % TRYING [9]
% 32.19/7.21 % (277381)Instruction limit reached!
% 32.19/7.21 % (277381)------------------------------
% 32.19/7.21 % (277381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277381)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277381)Termination reason: Instruction limit
% 32.19/7.21 % (277381)Termination phase: Saturation
% 32.19/7.21 % (277381)Time elapsed: 3.343 s
% 32.19/7.21 % (277381)Peak memory usage: 18 MB
% 32.19/7.21 % (277381)Instructions burned: 5131 (million)
% 32.19/7.21 % (277566)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=809577980:fmbsr=2.30978:i=2174_2952 on theBenchmark for (2952ds/2174Mi)
% 32.19/7.21 % TRYING [16]
% 32.19/7.21 % TRYING [9]
% 32.19/7.21 % (277407)Instruction limit reached!
% 32.19/7.21 % (277407)------------------------------
% 32.19/7.21 % (277407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277407)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277407)Termination reason: Instruction limit
% 32.19/7.21 % (277407)Termination phase: Finite model building constraint generation
% 32.19/7.21 % (277407)Time elapsed: 2.485 s
% 32.19/7.21 % (277407)Peak memory usage: 452 MB
% 32.19/7.21 % (277407)Instructions burned: 6326 (million)
% 32.19/7.21 % (277568)ott-2_1_sil=16000:newcnf=on:random_seed=1793525984:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2945 on theBenchmark for (2945ds/869Mi)
% 32.19/7.21 % (277566)Instruction limit reached!
% 32.19/7.21 % (277566)------------------------------
% 32.19/7.21 % (277566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277566)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277566)Termination reason: Instruction limit
% 32.19/7.21 % (277566)Termination phase: Finite model building constraint generation
% 32.19/7.21 % (277566)Time elapsed: 0.723 s
% 32.19/7.21 % (277566)Peak memory usage: 132 MB
% 32.19/7.21 % (277566)Instructions burned: 2177 (million)
% 32.19/7.21 % (277570)ott+10_1_sil=32000:tgt=ground:random_seed=2234882966:i=5114:av=off_2944 on theBenchmark for (2944ds/5114Mi)
% 32.19/7.21 % (277365)Instruction limit reached!
% 32.19/7.21 % (277365)------------------------------
% 32.19/7.21 % (277365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277365)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277365)Termination reason: Instruction limit
% 32.19/7.21 % (277365)Termination phase: Finite model building constraint generation
% 32.19/7.21 % (277365)Time elapsed: 4.644 s
% 32.19/7.21 % (277365)Peak memory usage: 667 MB
% 32.19/7.21 % (277365)Instructions burned: 9516 (million)
% 32.19/7.21 % (277572)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3270316462:i=54282_2942 on theBenchmark for (2942ds/54282Mi)
% 32.19/7.21 % TRYING [1]
% 32.19/7.21 % TRYING [2]
% 32.19/7.21 % TRYING [3]
% 32.19/7.21 % TRYING [4]
% 32.19/7.21 % TRYING [5]
% 32.19/7.21 % (277568)Instruction limit reached!
% 32.19/7.21 % (277568)------------------------------
% 32.19/7.21 % (277568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277568)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277568)Termination reason: Instruction limit
% 32.19/7.21 % (277568)Termination phase: Saturation
% 32.19/7.21 % (277568)Time elapsed: 0.459 s
% 32.19/7.21 % (277568)Peak memory usage: 14 MB
% 32.19/7.21 % (277568)Instructions burned: 871 (million)
% 32.19/7.21 % TRYING [6]
% 32.19/7.21 % (277574)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=427877112:i=3512:aac=none_2941 on theBenchmark for (2941ds/3512Mi)
% 32.19/7.21 % TRYING [7]
% 32.19/7.21 % (277266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-277254-277266"...
% 32.19/7.21 % (277266)...printing done.
% 32.19/7.21 % (277266)Refutation found. Thanks to Tanya!
% 32.19/7.21 % SZS status Unsatisfiable for theBenchmark
% 32.19/7.21 % SZS output start Proof for theBenchmark
% See solution above
% 32.19/7.21 % (277266)------------------------------
% 32.19/7.21 % (277266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/7.21 % (277266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/7.21 % (277266)CaDiCaL version: 2.1.3
% 32.19/7.21 % (277266)Termination reason: Refutation
% 32.19/7.21 % (277266)Time elapsed: 6.873 s
% 32.19/7.21 % (277266)Peak memory usage: 73 MB
% 32.19/7.21 % (277266)Instructions burned: 10233 (million)
% 32.19/7.21 % (277254)Success in time 6.969 s
% 32.19/7.21 % Vampire exiting
%------------------------------------------------------------------------------