%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 09:35:50 AM UTC 2026
% Result : Unsatisfiable 18.56s 3.58s
% Output : Refutation 19.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 21
% Syntax : Number of formulae : 139 ( 105 unt; 0 def)
% Number of atoms : 207 ( 104 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 137 ( 69 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 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 : 234 ( 234 !; 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(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(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(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(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
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(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/sandbox/benchmark/theBenchmark.p',distributivity8) ).
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(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,axiom,
sum(y,z,y_plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_plus_z) ).
fof(f24,axiom,
sum(x,y_plus_z,x__plus_y_plus_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus__y_plus_z) ).
fof(f25,axiom,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y) ).
fof(f26,axiom,
sum(x_plus_y,z,x_plus_y__plus_z),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_equality) ).
fof(f40,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f1,f3]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f1,f21]) ).
fof(f48,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f21]) ).
fof(f62,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f7,f22]) ).
fof(f66,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f84,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(resolution,[],[f62,f2]) ).
fof(f85,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f62,f66]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X3,X1),X5)
| ~ sum(X0,X3,X4)
| ~ product(X0,X1,X2)
| product(X4,X1,X5) ),
inference(resolution,[],[f12,f2]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ sum(X0,X1,X2)
| product(X2,X3,add(X4,multiply(X1,X3))) ),
inference(resolution,[],[f111,f1]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,add(multiply(X0,X3),multiply(X1,X3)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f117,f2]) ).
fof(f130,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f41,f40]) ).
fof(f132,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(resolution,[],[f41,f18]) ).
fof(f133,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(resolution,[],[f41,f17]) ).
fof(f134,plain,
y_plus_z = add(y,z),
inference(resolution,[],[f41,f23]) ).
fof(f138,plain,
x__plus_y_plus_z = add(x,y_plus_z),
inference(resolution,[],[f41,f24]) ).
fof(f139,plain,
x_plus_y = add(x,y),
inference(resolution,[],[f41,f25]) ).
fof(f140,plain,
x_plus_y__plus_z = add(x_plus_y,z),
inference(resolution,[],[f41,f26]) ).
fof(f172,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(f178,plain,
! [X2,X3,X0,X1,X4] :
( sum(multiply(X3,X0),X1,multiply(X4,X2))
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f172,f2]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2)
| add(multiply(X0,X3),X1) = multiply(X2,X4) ),
inference(resolution,[],[f178,f41]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(multiply(X0,X3),X1) = multiply(X2,add(X3,X1)) ),
inference(resolution,[],[f184,f1]) ).
fof(f212,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(resolution,[],[f193,f18]) ).
fof(f214,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
inference(resolution,[],[f193,f17]) ).
fof(f220,plain,
! [X0] : add(multiply(x,X0),y) = multiply(x_plus_y,add(X0,y)),
inference(resolution,[],[f193,f25]) ).
fof(f222,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f214,f84]) ).
fof(f223,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = add(X1,inverse(X0)),
inference(forward_demodulation,[],[f212,f84]) ).
fof(f225,plain,
! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
inference(superposition,[],[f222,f85]) ).
fof(f233,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f225,f133]) ).
fof(f271,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(superposition,[],[f130,f233]) ).
fof(f395,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(f401,plain,
! [X2,X3,X0,X1,X4] :
( sum(X0,multiply(X3,X1),multiply(X4,X2))
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f395,f2]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| add(X0,multiply(X1,X3)) = multiply(X2,X4) ),
inference(resolution,[],[f401,f41]) ).
fof(f429,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,multiply(X1,X3)) = multiply(X2,add(X0,X3)) ),
inference(resolution,[],[f413,f1]) ).
fof(f445,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(resolution,[],[f429,f1]) ).
fof(f448,plain,
! [X0,X1] : add(X0,multiply(additive_identity,X1)) = multiply(X0,add(X0,X1)),
inference(resolution,[],[f429,f6]) ).
fof(f768,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| add(multiply(X0,X2),multiply(X1,X2)) = X2 ),
inference(resolution,[],[f121,f62]) ).
fof(f798,plain,
! [X0] : add(multiply(multiplicative_identity,X0),multiply(additive_identity,X0)) = X0,
inference(resolution,[],[f768,f6]) ).
fof(f801,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),multiply(X0,X1)) = X1,
inference(resolution,[],[f768,f17]) ).
fof(f803,plain,
! [X0] : add(X0,multiply(additive_identity,X0)) = X0,
inference(forward_demodulation,[],[f798,f84]) ).
fof(f858,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(f866,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f858,f2]) ).
fof(f875,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f866,f2]) ).
fof(f880,plain,
! [X2,X0,X1] :
( sum(multiply(X0,inverse(X1)),additive_identity,multiply(X2,inverse(X1)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f866,f20]) ).
fof(f890,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,X3) = add(multiply(X0,X3),multiply(X1,X3)) ),
inference(resolution,[],[f875,f41]) ).
fof(f951,plain,
! [X0] : multiply(y_plus_z,X0) = add(multiply(y,X0),multiply(z,X0)),
inference(resolution,[],[f890,f23]) ).
fof(f955,plain,
! [X0] : multiply(x__plus_y_plus_z,X0) = add(multiply(x,X0),multiply(y_plus_z,X0)),
inference(resolution,[],[f890,f24]) ).
fof(f957,plain,
! [X0] : multiply(x_plus_y__plus_z,X0) = add(multiply(x_plus_y,X0),multiply(z,X0)),
inference(resolution,[],[f890,f26]) ).
fof(f1206,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X0,inverse(X1)) = multiply(X2,inverse(X1)) ),
inference(resolution,[],[f880,f48]) ).
fof(f1242,plain,
multiply(y,inverse(z)) = multiply(y_plus_z,inverse(z)),
inference(resolution,[],[f1206,f23]) ).
fof(f1612,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(f1621,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f1612,f2]) ).
fof(f1631,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f1621,f2]) ).
fof(f1647,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(multiply(X3,X0),multiply(X3,X1)) = multiply(X3,X2) ),
inference(resolution,[],[f1631,f41]) ).
fof(f1730,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X2,X1)),
inference(resolution,[],[f1647,f40]) ).
fof(f1740,plain,
! [X0] : multiply(X0,y_plus_z) = add(multiply(X0,y),multiply(X0,z)),
inference(resolution,[],[f1647,f23]) ).
fof(f1744,plain,
! [X0] : multiply(X0,x__plus_y_plus_z) = add(multiply(X0,x),multiply(X0,y_plus_z)),
inference(resolution,[],[f1647,f24]) ).
fof(f1745,plain,
! [X0] : multiply(X0,x_plus_y) = add(multiply(X0,x),multiply(X0,y)),
inference(resolution,[],[f1647,f25]) ).
fof(f1746,plain,
! [X0] : multiply(X0,x_plus_y__plus_z) = add(multiply(X0,x_plus_y),multiply(X0,z)),
inference(resolution,[],[f1647,f26]) ).
fof(f2107,plain,
! [X0,X1] : multiply(X0,add(X1,multiplicative_identity)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f1730,f85]) ).
fof(f2132,plain,
! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f1730,f85]) ).
fof(f2203,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(forward_demodulation,[],[f2132,f233]) ).
fof(f2210,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f2107,f271]) ).
fof(f2211,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f2203,f85]) ).
fof(f2212,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f2210,f85]) ).
fof(f2213,plain,
! [X0] : add(X0,X0) = X0,
inference(superposition,[],[f2211,f85]) ).
fof(f2267,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f445,f2213]) ).
fof(f2269,plain,
! [X0] : multiply(X0,X0) = add(X0,multiply(additive_identity,X0)),
inference(superposition,[],[f448,f2213]) ).
fof(f2282,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f2269,f803]) ).
fof(f2283,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f2267,f2212]) ).
fof(f2285,plain,
! [X0,X1] : add(X0,multiply(additive_identity,X1)) = X0,
inference(forward_demodulation,[],[f2283,f448]) ).
fof(f2370,plain,
multiply(y,x_plus_y) = add(multiply(y,x),y),
inference(superposition,[],[f1745,f2282]) ).
fof(f2372,plain,
multiply(z,x_plus_y__plus_z) = add(multiply(z,x_plus_y),z),
inference(superposition,[],[f1746,f2282]) ).
fof(f2373,plain,
multiply(z,y_plus_z) = add(multiply(z,y),z),
inference(superposition,[],[f1740,f2282]) ).
fof(f2375,plain,
multiply(y_plus_z,x__plus_y_plus_z) = add(multiply(y_plus_z,x),y_plus_z),
inference(superposition,[],[f1744,f2282]) ).
fof(f2378,plain,
multiply(x,x__plus_y_plus_z) = add(x,multiply(x,y_plus_z)),
inference(superposition,[],[f1744,f2282]) ).
fof(f2379,plain,
multiply(x,x_plus_y) = add(x,multiply(x,y)),
inference(superposition,[],[f1745,f2282]) ).
fof(f2408,plain,
x = multiply(x,x_plus_y),
inference(forward_demodulation,[],[f2379,f2212]) ).
fof(f2409,plain,
x = multiply(x,x__plus_y_plus_z),
inference(forward_demodulation,[],[f2378,f2212]) ).
fof(f2412,plain,
y_plus_z = multiply(y_plus_z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f2375,f2211]) ).
fof(f2414,plain,
z = multiply(z,y_plus_z),
inference(forward_demodulation,[],[f2373,f2211]) ).
fof(f2415,plain,
z = multiply(z,x_plus_y__plus_z),
inference(forward_demodulation,[],[f2372,f2211]) ).
fof(f2417,plain,
y = multiply(y,x_plus_y),
inference(forward_demodulation,[],[f2370,f2211]) ).
fof(f2523,plain,
x__plus_y_plus_z = add(multiply(inverse(y_plus_z),x__plus_y_plus_z),y_plus_z),
inference(superposition,[],[f801,f2412]) ).
fof(f2536,plain,
x__plus_y_plus_z = add(x__plus_y_plus_z,y_plus_z),
inference(forward_demodulation,[],[f2523,f222]) ).
fof(f2554,plain,
! [X0] : add(x__plus_y_plus_z,multiply(y_plus_z,X0)) = multiply(x__plus_y_plus_z,add(x__plus_y_plus_z,X0)),
inference(superposition,[],[f445,f2536]) ).
fof(f2564,plain,
! [X0] : add(x__plus_y_plus_z,multiply(y_plus_z,X0)) = add(x__plus_y_plus_z,multiply(additive_identity,X0)),
inference(forward_demodulation,[],[f2554,f448]) ).
fof(f2568,plain,
! [X0] : x__plus_y_plus_z = add(x__plus_y_plus_z,multiply(y_plus_z,X0)),
inference(forward_demodulation,[],[f2564,f2285]) ).
fof(f2704,plain,
multiply(z,x__plus_y_plus_z) = add(multiply(z,x),z),
inference(superposition,[],[f1744,f2414]) ).
fof(f2739,plain,
z = multiply(z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f2704,f2211]) ).
fof(f2758,plain,
add(z,inverse(z)) = add(x__plus_y_plus_z,inverse(z)),
inference(superposition,[],[f223,f2739]) ).
fof(f2777,plain,
multiplicative_identity = add(x__plus_y_plus_z,inverse(z)),
inference(forward_demodulation,[],[f2758,f132]) ).
fof(f2862,plain,
multiply(x,x_plus_y__plus_z) = add(x,multiply(x,z)),
inference(superposition,[],[f1746,f2408]) ).
fof(f2897,plain,
x = multiply(x,x_plus_y__plus_z),
inference(forward_demodulation,[],[f2862,f2212]) ).
fof(f2992,plain,
! [X0] : add(x__plus_y_plus_z,multiply(X0,inverse(z))) = multiply(add(x__plus_y_plus_z,X0),multiplicative_identity),
inference(superposition,[],[f445,f2777]) ).
fof(f2999,plain,
! [X0] : add(x__plus_y_plus_z,X0) = add(x__plus_y_plus_z,multiply(X0,inverse(z))),
inference(forward_demodulation,[],[f2992,f85]) ).
fof(f3244,plain,
add(y,multiply(y,z)) = multiply(y,x_plus_y__plus_z),
inference(superposition,[],[f1746,f2417]) ).
fof(f3279,plain,
y = multiply(y,x_plus_y__plus_z),
inference(forward_demodulation,[],[f3244,f2212]) ).
fof(f3286,plain,
multiply(y_plus_z,x_plus_y__plus_z) = add(y,multiply(z,x_plus_y__plus_z)),
inference(superposition,[],[f951,f3279]) ).
fof(f3323,plain,
add(y,z) = multiply(y_plus_z,x_plus_y__plus_z),
inference(forward_demodulation,[],[f3286,f2415]) ).
fof(f3326,plain,
y_plus_z = multiply(y_plus_z,x_plus_y__plus_z),
inference(forward_demodulation,[],[f3323,f134]) ).
fof(f3329,plain,
multiply(x__plus_y_plus_z,x_plus_y__plus_z) = add(multiply(x,x_plus_y__plus_z),y_plus_z),
inference(superposition,[],[f955,f3326]) ).
fof(f3364,plain,
add(x,y_plus_z) = multiply(x__plus_y_plus_z,x_plus_y__plus_z),
inference(forward_demodulation,[],[f3329,f2897]) ).
fof(f3366,plain,
x__plus_y_plus_z = multiply(x__plus_y_plus_z,x_plus_y__plus_z),
inference(forward_demodulation,[],[f3364,f138]) ).
fof(f3384,plain,
x_plus_y__plus_z = add(multiply(inverse(x__plus_y_plus_z),x_plus_y__plus_z),x__plus_y_plus_z),
inference(superposition,[],[f801,f3366]) ).
fof(f3397,plain,
x_plus_y__plus_z = add(x_plus_y__plus_z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f3384,f222]) ).
fof(f3407,plain,
x_plus_y__plus_z = add(x__plus_y_plus_z,x_plus_y__plus_z),
inference(superposition,[],[f130,f3397]) ).
fof(f4712,plain,
x__plus_y_plus_z = add(x__plus_y_plus_z,multiply(y,inverse(z))),
inference(superposition,[],[f2568,f1242]) ).
fof(f4739,plain,
x__plus_y_plus_z = add(x__plus_y_plus_z,y),
inference(forward_demodulation,[],[f4712,f2999]) ).
fof(f4746,plain,
multiply(x_plus_y,x__plus_y_plus_z) = add(multiply(x,x__plus_y_plus_z),y),
inference(superposition,[],[f220,f4739]) ).
fof(f4765,plain,
add(x,y) = multiply(x_plus_y,x__plus_y_plus_z),
inference(forward_demodulation,[],[f4746,f2409]) ).
fof(f4769,plain,
x_plus_y = multiply(x_plus_y,x__plus_y_plus_z),
inference(forward_demodulation,[],[f4765,f139]) ).
fof(f4773,plain,
multiply(x_plus_y__plus_z,x__plus_y_plus_z) = add(x_plus_y,multiply(z,x__plus_y_plus_z)),
inference(superposition,[],[f957,f4769]) ).
fof(f4808,plain,
add(x_plus_y,z) = multiply(x_plus_y__plus_z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f4773,f2739]) ).
fof(f4810,plain,
x_plus_y__plus_z = multiply(x_plus_y__plus_z,x__plus_y_plus_z),
inference(forward_demodulation,[],[f4808,f140]) ).
fof(f4828,plain,
x__plus_y_plus_z = add(multiply(inverse(x_plus_y__plus_z),x__plus_y_plus_z),x_plus_y__plus_z),
inference(superposition,[],[f801,f4810]) ).
fof(f4841,plain,
x__plus_y_plus_z = add(x__plus_y_plus_z,x_plus_y__plus_z),
inference(forward_demodulation,[],[f4828,f222]) ).
fof(f4850,plain,
x__plus_y_plus_z = x_plus_y__plus_z,
inference(forward_demodulation,[],[f4841,f3407]) ).
fof(f4853,plain,
$false,
inference(forward_subsumption_resolution,[],[f4850,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n019.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:03:33 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 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
% 18.56/3.58 % (277343)Input is clausal, will run a generic CNF schedule.
% 18.56/3.58 % (277361)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3689584761:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.56/3.58 % (277360)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=1700522354:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.56/3.58 % (277363)lrs+10_1_sil=8000:sp=occurrence:random_seed=2802334041:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.56/3.58 % (277363)Refutation not found, incomplete strategy
% 18.56/3.58 % (277363)------------------------------
% 18.56/3.58 % (277363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277363)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277363)Termination reason: Refutation not found, incomplete strategy
% 18.56/3.58 % (277363)Time elapsed: 0.003 s
% 18.56/3.58 % (277363)Peak memory usage: 88 MB
% 18.56/3.58 % (277363)Instructions burned: 1 (million)
% 18.56/3.58 % (277364)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2644727730:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.56/3.58 % (277367)dis-21_1_sil=8000:lcm=predicate:random_seed=1820879146: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)
% 18.56/3.58 % (277362)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=508914416:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.56/3.58 % (277366)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1955752236:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.56/3.58 % (277364)Instruction limit reached!
% 18.56/3.58 % (277364)------------------------------
% 18.56/3.58 % (277364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277364)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277364)Termination reason: Instruction limit
% 18.56/3.58 % (277364)Termination phase: Saturation
% 18.56/3.58 % (277364)Time elapsed: 0.097 s
% 18.56/3.58 % (277364)Peak memory usage: 88 MB
% 18.56/3.58 % (277364)Instructions burned: 114 (million)
% 18.56/3.58 % (277367)Instruction limit reached!
% 18.56/3.58 % (277367)------------------------------
% 18.56/3.58 % (277367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277367)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277367)Termination reason: Instruction limit
% 18.56/3.58 % (277367)Termination phase: Saturation
% 18.56/3.58 % (277367)Time elapsed: 0.102 s
% 18.56/3.58 % (277367)Peak memory usage: 88 MB
% 18.56/3.58 % (277367)Instructions burned: 118 (million)
% 18.56/3.58 % (277366)Instruction limit reached!
% 18.56/3.58 % (277366)------------------------------
% 18.56/3.58 % (277366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277366)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277366)Termination reason: Instruction limit
% 18.56/3.58 % (277366)Termination phase: Saturation
% 18.56/3.58 % (277366)Time elapsed: 0.172 s
% 18.56/3.58 % (277366)Peak memory usage: 89 MB
% 18.56/3.58 % (277366)Instructions burned: 181 (million)
% 18.56/3.58 % (277378)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=1052899348:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 18.56/3.58 % (277378)Refutation not found, incomplete strategy
% 18.56/3.58 % (277378)------------------------------
% 18.56/3.58 % (277378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277378)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277378)Termination reason: Refutation not found, incomplete strategy
% 18.56/3.58 % (277378)Time elapsed: 0.003 s
% 18.56/3.58 % (277378)Peak memory usage: 88 MB
% 18.56/3.58 % (277378)Instructions burned: 2 (million)
% 18.56/3.58 % (277379)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3129618501:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 18.56/3.58 % (277380)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=946083295:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 18.56/3.58 % (277380)Refutation not found, incomplete strategy
% 18.56/3.58 % (277380)------------------------------
% 18.56/3.58 % (277380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277380)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277380)Termination reason: Refutation not found, incomplete strategy
% 18.56/3.58 % (277380)Time elapsed: 0.002 s
% 18.56/3.58 % (277380)Peak memory usage: 87 MB
% 18.56/3.58 % (277380)Instructions burned: 1 (million)
% 18.56/3.58 % (277363)------------------------------
% 18.56/3.58 % (277363)------------------------------
% 18.56/3.58 % (277379)Instruction limit reached!
% 18.56/3.58 % (277379)------------------------------
% 18.56/3.58 % (277379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277379)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277379)Termination reason: Instruction limit
% 18.56/3.58 % (277379)Termination phase: Saturation
% 18.56/3.58 % (277379)Time elapsed: 0.165 s
% 18.56/3.58 % (277379)Peak memory usage: 90 MB
% 18.56/3.58 % (277379)Instructions burned: 189 (million)
% 18.56/3.58 % (277386)lrs+10_64_to=lpo:sil=8000:random_seed=2345517975:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 18.56/3.58 % (277386)Instruction limit reached!
% 18.56/3.58 % (277386)------------------------------
% 18.56/3.58 % (277386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277386)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277386)Termination reason: Instruction limit
% 18.56/3.58 % (277386)Termination phase: Saturation
% 18.56/3.58 % (277386)Time elapsed: 0.059 s
% 18.56/3.58 % (277386)Peak memory usage: 88 MB
% 18.56/3.58 % (277386)Instructions burned: 127 (million)
% 18.56/3.58 % (277378)------------------------------
% 18.56/3.58 % (277378)------------------------------
% 18.56/3.58 % (277387)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1407235058:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 18.56/3.58 % (277380)------------------------------
% 18.56/3.58 % (277380)------------------------------
% 18.56/3.58 % (277391)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2366369889:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 18.56/3.58 % (277387)Instruction limit reached!
% 18.56/3.58 % (277387)------------------------------
% 18.56/3.58 % (277387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277387)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277387)Termination reason: Instruction limit
% 18.56/3.58 % (277387)Termination phase: Saturation
% 18.56/3.58 % (277387)Time elapsed: 0.146 s
% 18.56/3.58 % (277387)Peak memory usage: 89 MB
% 18.56/3.58 % (277387)Instructions burned: 194 (million)
% 18.56/3.58 % (277391)Instruction limit reached!
% 18.56/3.58 % (277391)------------------------------
% 18.56/3.58 % (277391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277391)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277391)Termination reason: Instruction limit
% 18.56/3.58 % (277391)Termination phase: Saturation
% 18.56/3.58 % (277391)Time elapsed: 0.136 s
% 18.56/3.58 % (277391)Peak memory usage: 89 MB
% 18.56/3.58 % (277391)Instructions burned: 158 (million)
% 18.56/3.58 % (277393)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=135988:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 18.56/3.58 % (277394)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=2758756245:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 18.56/3.58 % (277396)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1966199395:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 18.56/3.58 % (277396)Refutation not found, incomplete strategy
% 18.56/3.58 % (277396)------------------------------
% 18.56/3.58 % (277396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277396)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277396)Termination reason: Refutation not found, incomplete strategy
% 18.56/3.58 % (277396)Time elapsed: 0.003 s
% 18.56/3.58 % (277396)Peak memory usage: 87 MB
% 18.56/3.58 % (277396)Instructions burned: 2 (million)
% 18.56/3.58 % (277394)Instruction limit reached!
% 18.56/3.58 % (277394)------------------------------
% 18.56/3.58 % (277394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277394)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277394)Termination reason: Instruction limit
% 18.56/3.58 % (277394)Termination phase: Saturation
% 18.56/3.58 % (277394)Time elapsed: 0.099 s
% 18.56/3.58 % (277394)Peak memory usage: 89 MB
% 18.56/3.58 % (277394)Instructions burned: 106 (million)
% 18.56/3.58 % (277397)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1870690050:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 18.56/3.58 % (277397)Refutation not found, incomplete strategy
% 18.56/3.58 % (277397)------------------------------
% 18.56/3.58 % (277397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277397)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277397)Termination reason: Refutation not found, incomplete strategy
% 18.56/3.58 % (277397)Time elapsed: 0.094 s
% 18.56/3.58 % (277397)Peak memory usage: 88 MB
% 18.56/3.58 % (277397)Instructions burned: 87 (million)
% 18.56/3.58 % (277401)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3885007178:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 18.56/3.58 % (277396)------------------------------
% 18.56/3.58 % (277396)------------------------------
% 18.56/3.58 % (277397)------------------------------
% 18.56/3.58 % (277397)------------------------------
% 18.56/3.58 % (277404)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1474297237:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 18.56/3.58 % (277404)Refutation not found, incomplete strategy
% 18.56/3.58 % (277404)------------------------------
% 18.56/3.58 % (277404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277404)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277404)Termination reason: Refutation not found, incomplete strategy
% 18.56/3.58 % (277404)Time elapsed: 0.006 s
% 18.56/3.58 % (277404)Peak memory usage: 88 MB
% 18.56/3.58 % (277404)Instructions burned: 4 (million)
% 18.56/3.58 % (277405)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4085805313:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 18.56/3.58 % (277360)First to succeed.
% 18.56/3.58 % (277360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-277343"
% 18.56/3.58 % (277404)------------------------------
% 18.56/3.58 % (277404)------------------------------
% 18.56/3.58 % (277405)Instruction limit reached!
% 18.56/3.58 % (277405)------------------------------
% 18.56/3.58 % (277405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/3.58 % (277405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/3.58 % (277405)CaDiCaL version: 2.1.3
% 18.56/3.58 % (277405)Termination reason: Instruction limit
% 18.56/3.58 % (277405)Termination phase: Saturation
% 18.56/3.58 % (277405)Time elapsed: 0.448 s
% 18.56/3.58 % (277405)Peak memory usage: 92 MB
% 18.56/3.58 % (277405)Instructions burned: 499 (million)
% 18.56/3.58 % (277410)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2023985282:i=191:fgj=on:bd=all_2976 on theBenchmark for (2976ds/191Mi)
% 18.56/3.58 % (277360)Refutation found. Thanks to Tanya!
% 18.56/3.58 % SZS status Unsatisfiable for theBenchmark
% 18.56/3.58 % SZS output start Proof for theBenchmark
% See solution above
% 19.66/3.86 % (277360)------------------------------
% 19.66/3.86 % (277360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/3.86 % (277360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.86 % (277360)CaDiCaL version: 2.1.3
% 19.66/3.86 % (277360)Termination reason: Refutation
% 19.66/3.86 % (277360)Time elapsed: 2.028 s
% 19.66/3.86 % (277360)Peak memory usage: 137 MB
% 19.66/3.86 % (277360)Instructions burned: 1874 (million)
% 19.66/3.86 % (277360)------------------------------
% 19.66/3.86 % (277360)------------------------------
% 19.66/3.86 % (277343)Success in time 2.649 s
% 19.66/3.86 % Vampire exiting
%------------------------------------------------------------------------------