%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG008-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:35:06 PM UTC 2026
% Result : Unsatisfiable 18.44s 3.90s
% Output : Refutation 19.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 18
% Syntax : Number of formulae : 135 ( 110 unt; 0 def)
% Number of atoms : 180 ( 103 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 91 ( 46 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 282 ( 282 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
fof(f12,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/theBenchmark.p',distributivity1) ).
fof(f14,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/theBenchmark.p',distributivity3) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f18,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_identity_x_is_identity) ).
fof(f19,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_times_x_is_identity) ).
fof(f20,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_squared_is_x) ).
fof(f21,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f22,negated_conjecture,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
fof(f31,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f4,f9]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f3,f17]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X3),X4)
| ~ product(X0,X1,X2)
| product(X2,X3,X4) ),
inference(resolution,[],[f3,f11]) ).
fof(f42,plain,
c = multiply(a,b),
inference(resolution,[],[f37,f21]) ).
fof(f43,plain,
! [X0] : multiply(X0,X0) = X0,
inference(resolution,[],[f37,f20]) ).
fof(f48,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,[],[f12,f3]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f48,f3]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f51,f3]) ).
fof(f61,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,[],[f14,f3]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f61,f3]) ).
fof(f66,plain,
! [X2,X0,X1] :
( sum(multiply(X0,X1),X1,multiply(X2,X1))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f64,f20]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f64,f3]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f16,f4]) ).
fof(f85,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f77,f2]) ).
fof(f86,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[],[f77,f1]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| multiply(X0,X3) = add(multiply(X0,X1),multiply(X0,X2)) ),
inference(resolution,[],[f77,f54]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| multiply(X3,X1) = add(multiply(X0,X1),multiply(X2,X1)) ),
inference(resolution,[],[f77,f67]) ).
fof(f95,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f31,f77]) ).
fof(f121,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(resolution,[],[f19,f37]) ).
fof(f131,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(resolution,[],[f88,f4]) ).
fof(f132,plain,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)),
inference(resolution,[],[f88,f31]) ).
fof(f133,plain,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1)),
inference(forward_demodulation,[],[f131,f132]) ).
fof(f154,plain,
! [X2,X0,X1] : product(X0,add(X2,X1),multiply(X0,add(X1,X2))),
inference(superposition,[],[f3,f133]) ).
fof(f186,plain,
! [X0,X1] : multiply(additive_identity,X0) = add(multiply(X1,X0),multiply(additive_inverse(X1),X0)),
inference(resolution,[],[f89,f6]) ).
fof(f189,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(resolution,[],[f89,f4]) ).
fof(f190,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X1,X2),multiply(X0,X2)),
inference(resolution,[],[f89,f31]) ).
fof(f191,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = multiply(add(X1,X0),X2),
inference(forward_demodulation,[],[f189,f190]) ).
fof(f194,plain,
! [X0,X1] : multiply(additive_identity,X0) = multiply(add(additive_inverse(X1),X1),X0),
inference(forward_demodulation,[],[f186,f190]) ).
fof(f199,plain,
! [X0,X1] : additive_identity = multiply(add(additive_inverse(X1),X1),X0),
inference(forward_demodulation,[],[f194,f121]) ).
fof(f214,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(superposition,[],[f43,f199]) ).
fof(f288,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f18,f37]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X3),X4)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X4) ),
inference(resolution,[],[f8,f4]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,multiply(X0,multiply(X1,X3)))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f40,f3]) ).
fof(f355,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X2,X3) = multiply(X0,multiply(X1,X3)) ),
inference(resolution,[],[f335,f37]) ).
fof(f379,plain,
! [X0] : multiply(c,X0) = multiply(a,multiply(b,X0)),
inference(resolution,[],[f355,f21]) ).
fof(f380,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X0,X1)),
inference(resolution,[],[f355,f20]) ).
fof(f381,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(resolution,[],[f355,f3]) ).
fof(f492,plain,
multiply(a,b) = multiply(c,b),
inference(superposition,[],[f379,f43]) ).
fof(f514,plain,
c = multiply(c,b),
inference(forward_demodulation,[],[f492,f42]) ).
fof(f784,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(superposition,[],[f132,f43]) ).
fof(f799,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f132,f43]) ).
fof(f813,plain,
! [X0] : multiply(c,add(b,X0)) = add(multiply(c,X0),c),
inference(superposition,[],[f132,f514]) ).
fof(f1052,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,X1) = add(multiply(X0,X1),X1) ),
inference(resolution,[],[f66,f77]) ).
fof(f1115,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(multiply(X1,X0),X0),
inference(resolution,[],[f1052,f31]) ).
fof(f1129,plain,
! [X0] : add(X0,X0) = multiply(add(X0,X0),X0),
inference(superposition,[],[f1115,f43]) ).
fof(f1152,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(X0,X1),X0),
inference(superposition,[],[f95,f1115]) ).
fof(f1205,plain,
! [X0,X1] : multiply(add(X0,X0),add(X1,X0)) = add(add(X0,X0),multiply(add(X0,X0),X1)),
inference(superposition,[],[f132,f1129]) ).
fof(f1219,plain,
! [X0,X1] : multiply(add(X0,X0),add(X1,X0)) = multiply(add(X0,X0),add(X1,add(X0,X0))),
inference(forward_demodulation,[],[f1205,f784]) ).
fof(f1355,plain,
! [X2,X3,X0,X1] :
( sum(X2,X3,add(X0,add(X1,X3)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f318,f4]) ).
fof(f1383,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) ),
inference(resolution,[],[f1355,f77]) ).
fof(f1424,plain,
! [X0,X1] : add(additive_identity,X0) = add(X1,add(additive_inverse(X1),X0)),
inference(resolution,[],[f1383,f6]) ).
fof(f1425,plain,
! [X0,X1] : add(additive_identity,X0) = add(additive_inverse(X1),add(X1,X0)),
inference(resolution,[],[f1383,f5]) ).
fof(f1430,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(resolution,[],[f1383,f4]) ).
fof(f1431,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(resolution,[],[f1383,f31]) ).
fof(f1433,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[],[f1430,f1431]) ).
fof(f1434,plain,
! [X0,X1] : add(additive_inverse(X1),add(X1,X0)) = X0,
inference(forward_demodulation,[],[f1425,f86]) ).
fof(f1435,plain,
! [X0,X1] : add(X1,add(additive_inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f1424,f86]) ).
fof(f1439,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(superposition,[],[f1435,f95]) ).
fof(f1457,plain,
! [X0,X1] : add(additive_inverse(X1),add(X0,X1)) = X0,
inference(superposition,[],[f1434,f95]) ).
fof(f1462,plain,
! [X0,X1] : add(additive_inverse(multiply(X1,X0)),multiply(add(X0,X1),X0)) = X0,
inference(superposition,[],[f1434,f1115]) ).
fof(f1504,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X1,add(X2,X0)),
inference(superposition,[],[f1433,f95]) ).
fof(f1559,plain,
! [X0,X1] : additive_identity = add(X0,add(additive_inverse(add(X0,X1)),X1)),
inference(superposition,[],[f214,f1433]) ).
fof(f1681,plain,
! [X2,X0,X1] : add(X2,X0) = add(X1,add(X2,add(X0,additive_inverse(X1)))),
inference(superposition,[],[f1433,f1439]) ).
fof(f1713,plain,
! [X0,X1] : additive_inverse(X1) = add(additive_inverse(add(X1,X0)),X0),
inference(superposition,[],[f1457,f1434]) ).
fof(f1714,plain,
! [X0,X1] : additive_inverse(X1) = add(additive_inverse(add(X0,X1)),X0),
inference(superposition,[],[f1457,f1457]) ).
fof(f1865,plain,
! [X2,X0,X1] : add(X2,add(X1,X0)) = add(X0,add(X1,X2)),
inference(superposition,[],[f1433,f1504]) ).
fof(f2935,plain,
! [X2,X0,X1] : add(X2,additive_inverse(X0)) = add(X1,add(additive_inverse(add(X1,X0)),X2)),
inference(superposition,[],[f1865,f1714]) ).
fof(f4864,plain,
! [X2,X0,X1] : multiply(add(X0,X2),multiply(X0,X1)) = add(multiply(X2,multiply(X0,X1)),multiply(X0,X1)),
inference(superposition,[],[f190,f380]) ).
fof(f4945,plain,
! [X2,X0,X1] : multiply(add(multiply(X0,X1),X2),multiply(X0,X1)) = multiply(add(X0,X2),multiply(X0,X1)),
inference(forward_demodulation,[],[f4864,f1115]) ).
fof(f7444,plain,
! [X0] : add(add(X0,X0),add(X0,X0)) = multiply(add(X0,X0),add(X0,add(X0,X0))),
inference(superposition,[],[f784,f1129]) ).
fof(f7447,plain,
! [X2,X0,X1] : add(add(X1,X0),multiply(add(X0,X1),X2)) = multiply(add(X1,X0),add(X2,add(X1,X0))),
inference(superposition,[],[f784,f191]) ).
fof(f7451,plain,
add(a,c) = multiply(a,add(b,a)),
inference(superposition,[],[f784,f42]) ).
fof(f7514,plain,
! [X2,X0,X1] : add(X0,add(X1,multiply(add(X0,X1),X2))) = multiply(add(X1,X0),add(X2,add(X1,X0))),
inference(forward_demodulation,[],[f7447,f1431]) ).
fof(f7517,plain,
! [X0] : multiply(add(X0,X0),add(X0,X0)) = add(add(X0,X0),add(X0,X0)),
inference(forward_demodulation,[],[f7444,f1219]) ).
fof(f7528,plain,
! [X0] : multiply(add(X0,X0),add(X0,X0)) = add(X0,add(X0,add(X0,X0))),
inference(forward_demodulation,[],[f7517,f1431]) ).
fof(f7536,plain,
! [X0] : add(X0,X0) = add(X0,add(X0,add(X0,X0))),
inference(forward_demodulation,[],[f7528,f43]) ).
fof(f7914,plain,
add(a,c) = multiply(a,add(a,b)),
inference(superposition,[],[f133,f7451]) ).
fof(f11206,plain,
! [X0] : additive_identity = add(X0,add(additive_inverse(add(X0,X0)),add(X0,add(X0,X0)))),
inference(superposition,[],[f1559,f7536]) ).
fof(f11207,plain,
! [X0] : additive_inverse(X0) = add(additive_inverse(add(X0,X0)),add(X0,add(X0,X0))),
inference(superposition,[],[f1713,f7536]) ).
fof(f11236,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[],[f11207,f1457]) ).
fof(f11237,plain,
! [X0] : additive_identity = add(add(X0,add(X0,X0)),additive_inverse(X0)),
inference(forward_demodulation,[],[f11206,f2935]) ).
fof(f11283,plain,
! [X0] : additive_identity = add(add(X0,X0),add(X0,additive_inverse(X0))),
inference(forward_demodulation,[],[f11237,f1431]) ).
fof(f11317,plain,
! [X0] : additive_identity = add(X0,add(X0,add(X0,additive_inverse(X0)))),
inference(forward_demodulation,[],[f11283,f1431]) ).
fof(f11339,plain,
! [X0] : additive_identity = add(X0,X0),
inference(forward_demodulation,[],[f11317,f1681]) ).
fof(f11391,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(superposition,[],[f1435,f11236]) ).
fof(f11396,plain,
! [X0,X1] : add(X0,add(X1,X0)) = X1,
inference(superposition,[],[f1457,f11236]) ).
fof(f15142,plain,
! [X0,X1] : add(additive_inverse(multiply(multiply(X1,X0),X0)),multiply(multiply(add(X0,X1),X0),X0)) = X0,
inference(superposition,[],[f1462,f1152]) ).
fof(f15328,plain,
! [X0,X1] : add(additive_inverse(multiply(multiply(X1,X0),X0)),multiply(add(X0,X1),multiply(X0,X0))) = X0,
inference(forward_demodulation,[],[f15142,f381]) ).
fof(f15437,plain,
! [X0,X1] : add(additive_inverse(multiply(multiply(X1,X0),X0)),multiply(add(X0,X1),X0)) = X0,
inference(forward_demodulation,[],[f15328,f43]) ).
fof(f15515,plain,
! [X0,X1] : add(multiply(multiply(X1,X0),X0),multiply(add(X0,X1),X0)) = X0,
inference(forward_demodulation,[],[f15437,f11236]) ).
fof(f15566,plain,
! [X0,X1] : multiply(add(add(X0,X1),multiply(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f15515,f190]) ).
fof(f15610,plain,
! [X0,X1] : multiply(add(X1,add(X0,multiply(X1,X0))),X0) = X0,
inference(forward_demodulation,[],[f15566,f1431]) ).
fof(f15639,plain,
! [X0,X1] : multiply(add(X1,multiply(add(X0,X1),X0)),X0) = X0,
inference(forward_demodulation,[],[f15610,f1152]) ).
fof(f21764,plain,
! [X0] : multiply(c,add(b,X0)) = multiply(c,add(c,X0)),
inference(superposition,[],[f799,f813]) ).
fof(f23782,plain,
! [X0,X1] : add(X0,X0) = multiply(add(X0,add(X1,multiply(add(X0,X1),X0))),X0),
inference(superposition,[],[f1152,f15639]) ).
fof(f23854,plain,
! [X0,X1] : add(X0,X0) = multiply(multiply(add(X1,X0),add(X0,add(X1,X0))),X0),
inference(forward_demodulation,[],[f23782,f7514]) ).
fof(f23931,plain,
! [X0,X1] : add(X0,X0) = multiply(add(X1,X0),multiply(add(X0,add(X1,X0)),X0)),
inference(forward_demodulation,[],[f23854,f381]) ).
fof(f23985,plain,
! [X0,X1] : add(X0,X0) = multiply(add(X1,X0),multiply(X1,X0)),
inference(forward_demodulation,[],[f23931,f11396]) ).
fof(f24028,plain,
! [X0,X1] : additive_identity = multiply(add(X1,X0),multiply(X1,X0)),
inference(forward_demodulation,[],[f23985,f11339]) ).
fof(f25276,plain,
additive_identity = multiply(add(a,add(a,b)),add(a,c)),
inference(superposition,[],[f24028,f7914]) ).
fof(f25353,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(add(multiply(X0,X1),add(X0,X1)),multiply(X0,X1)),
inference(superposition,[],[f1152,f24028]) ).
fof(f25379,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(add(X0,add(X0,X1)),multiply(X0,X1)),
inference(forward_demodulation,[],[f25353,f4945]) ).
fof(f25461,plain,
! [X0,X1] : multiply(X1,multiply(X0,X1)) = add(multiply(X0,X1),additive_identity),
inference(forward_demodulation,[],[f25379,f11391]) ).
fof(f25497,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f25461,f85]) ).
fof(f25662,plain,
multiply(c,a) = multiply(b,a),
inference(superposition,[],[f379,f25497]) ).
fof(f25965,plain,
additive_identity = multiply(b,add(a,c)),
inference(forward_demodulation,[],[f25276,f11391]) ).
fof(f26258,plain,
multiply(a,additive_identity) = multiply(c,add(a,c)),
inference(superposition,[],[f379,f25965]) ).
fof(f26365,plain,
additive_identity = multiply(c,add(a,c)),
inference(forward_demodulation,[],[f26258,f288]) ).
fof(f26381,plain,
product(c,add(c,a),additive_identity),
inference(superposition,[],[f154,f26365]) ).
fof(f27698,plain,
additive_identity = multiply(c,add(c,a)),
inference(resolution,[],[f26381,f37]) ).
fof(f27744,plain,
additive_identity = multiply(c,add(b,a)),
inference(forward_demodulation,[],[f27698,f21764]) ).
fof(f27755,plain,
add(additive_identity,c) = multiply(c,add(b,add(b,a))),
inference(superposition,[],[f813,f27744]) ).
fof(f27866,plain,
add(additive_identity,c) = multiply(c,a),
inference(forward_demodulation,[],[f27755,f11391]) ).
fof(f27874,plain,
add(additive_identity,c) = multiply(b,a),
inference(forward_demodulation,[],[f27866,f25662]) ).
fof(f27878,plain,
c = multiply(b,a),
inference(forward_demodulation,[],[f27874,f86]) ).
fof(f28004,plain,
product(b,a,c),
inference(superposition,[],[f3,f27878]) ).
fof(f28091,plain,
$false,
inference(forward_subsumption_resolution,[],[f28004,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG008-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 % Computer : n009.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sun Sep 27 22:58:30 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.54 Running first-order theorem proving
% 0.27/0.54 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.44/3.90 % (2502531)Input is clausal, will run a generic CNF schedule.
% 18.44/3.90 % (2502536)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=3003996010:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.44/3.90 % (2502539)lrs+10_1_sil=8000:sp=occurrence:random_seed=4155142897:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.44/3.90 % (2502537)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4124068409:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.44/3.90 % (2502538)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=715788609:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.44/3.90 % (2502539)Refutation not found, incomplete strategy
% 18.44/3.90 % (2502539)------------------------------
% 18.44/3.90 % (2502539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502539)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502539)Termination reason: Refutation not found, incomplete strategy
% 18.44/3.90 % (2502539)Time elapsed: 0.009 s
% 18.44/3.90 % (2502539)Peak memory usage: 88 MB
% 18.44/3.90 % (2502539)Instructions burned: 7 (million)
% 18.44/3.90 % (2502540)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2528510903:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.44/3.90 % (2502541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1810574542:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.44/3.90 % (2502542)dis-21_1_sil=8000:lcm=predicate:random_seed=1143785888: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)
% 18.44/3.90 % (2502542)Instruction limit reached!
% 18.44/3.90 % (2502542)------------------------------
% 18.44/3.90 % (2502542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502542)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502542)Termination reason: Instruction limit
% 18.44/3.90 % (2502542)Termination phase: Saturation
% 18.44/3.90 % (2502542)Time elapsed: 0.095 s
% 18.44/3.90 % (2502542)Peak memory usage: 88 MB
% 18.44/3.90 % (2502542)Instructions burned: 118 (million)
% 18.44/3.90 % (2502540)Instruction limit reached!
% 18.44/3.90 % (2502540)------------------------------
% 18.44/3.90 % (2502540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502540)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502540)Termination reason: Instruction limit
% 18.44/3.90 % (2502540)Termination phase: Saturation
% 18.44/3.90 % (2502540)Time elapsed: 0.098 s
% 18.44/3.90 % (2502540)Peak memory usage: 88 MB
% 18.44/3.90 % (2502540)Instructions burned: 115 (million)
% 18.44/3.90 % (2502541)Instruction limit reached!
% 18.44/3.90 % (2502541)------------------------------
% 18.44/3.90 % (2502541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502541)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502541)Termination reason: Instruction limit
% 18.44/3.90 % (2502541)Termination phase: Saturation
% 18.44/3.90 % (2502541)Time elapsed: 0.166 s
% 18.44/3.90 % (2502541)Peak memory usage: 88 MB
% 18.44/3.90 % (2502541)Instructions burned: 181 (million)
% 18.44/3.90 % (2502550)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=1456580981:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 18.44/3.90 % (2502551)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=101621688:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 18.44/3.90 % (2502539)------------------------------
% 18.44/3.90 % (2502539)------------------------------
% 18.44/3.90 % (2502552)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4122469288:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 18.44/3.90 % (2502550)Instruction limit reached!
% 18.44/3.90 % (2502550)------------------------------
% 18.44/3.90 % (2502550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502550)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502550)Termination reason: Instruction limit
% 18.44/3.90 % (2502550)Termination phase: Saturation
% 18.44/3.90 % (2502550)Time elapsed: 0.142 s
% 18.44/3.90 % (2502550)Peak memory usage: 89 MB
% 18.44/3.90 % (2502550)Instructions burned: 143 (million)
% 18.44/3.90 % (2502551)Instruction limit reached!
% 18.44/3.90 % (2502551)------------------------------
% 18.44/3.90 % (2502551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502551)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502551)Termination reason: Instruction limit
% 18.44/3.90 % (2502551)Termination phase: Saturation
% 18.44/3.90 % (2502551)Time elapsed: 0.169 s
% 18.44/3.90 % (2502551)Peak memory usage: 88 MB
% 18.44/3.90 % (2502551)Instructions burned: 190 (million)
% 18.44/3.90 % (2502552)Instruction limit reached!
% 18.44/3.90 % (2502552)------------------------------
% 18.44/3.90 % (2502552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502552)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502552)Termination reason: Instruction limit
% 18.44/3.90 % (2502552)Termination phase: Saturation
% 18.44/3.90 % (2502552)Time elapsed: 0.201 s
% 18.44/3.90 % (2502552)Peak memory usage: 89 MB
% 18.44/3.90 % (2502552)Instructions burned: 219 (million)
% 18.44/3.90 % (2502555)lrs+10_64_to=lpo:sil=8000:random_seed=1433951022:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 18.44/3.90 % (2502557)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=716940502:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 18.44/3.90 % (2502555)Instruction limit reached!
% 18.44/3.90 % (2502555)------------------------------
% 18.44/3.90 % (2502555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502555)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502555)Termination reason: Instruction limit
% 18.44/3.90 % (2502555)Termination phase: Saturation
% 18.44/3.90 % (2502555)Time elapsed: 0.126 s
% 18.44/3.90 % (2502555)Peak memory usage: 88 MB
% 18.44/3.90 % (2502555)Instructions burned: 127 (million)
% 18.44/3.90 % (2502558)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1566907812:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 18.44/3.90 % (2502559)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=285392696:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 18.44/3.90 % (2502557)Instruction limit reached!
% 18.44/3.90 % (2502557)------------------------------
% 18.44/3.90 % (2502557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502557)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502557)Termination reason: Instruction limit
% 18.44/3.90 % (2502557)Termination phase: Saturation
% 18.44/3.90 % (2502557)Time elapsed: 0.181 s
% 18.44/3.90 % (2502557)Peak memory usage: 89 MB
% 18.44/3.90 % (2502557)Instructions burned: 194 (million)
% 18.44/3.90 % (2502558)Instruction limit reached!
% 18.44/3.90 % (2502558)------------------------------
% 18.44/3.90 % (2502558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502558)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502558)Termination reason: Instruction limit
% 18.44/3.90 % (2502558)Termination phase: Saturation
% 18.44/3.90 % (2502558)Time elapsed: 0.168 s
% 18.44/3.90 % (2502558)Peak memory usage: 89 MB
% 18.44/3.90 % (2502558)Instructions burned: 157 (million)
% 18.44/3.90 % (2502562)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=3899229191:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 18.44/3.90 % (2502562)Instruction limit reached!
% 18.44/3.90 % (2502562)------------------------------
% 18.44/3.90 % (2502562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502562)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502562)Termination reason: Instruction limit
% 18.44/3.90 % (2502562)Termination phase: Saturation
% 18.44/3.90 % (2502562)Time elapsed: 0.111 s
% 18.44/3.90 % (2502562)Peak memory usage: 89 MB
% 18.44/3.90 % (2502562)Instructions burned: 106 (million)
% 18.44/3.90 % (2502565)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3391286604:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 18.44/3.90 % (2502566)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1156508069:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 18.44/3.90 % (2502565)Instruction limit reached!
% 18.44/3.90 % (2502565)------------------------------
% 18.44/3.90 % (2502565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502565)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502565)Termination reason: Instruction limit
% 18.44/3.90 % (2502565)Termination phase: Saturation
% 18.44/3.90 % (2502565)Time elapsed: 0.108 s
% 18.44/3.90 % (2502565)Peak memory usage: 89 MB
% 18.44/3.90 % (2502565)Instructions burned: 107 (million)
% 18.44/3.90 % (2502568)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=900793900:cond=fast:i=5208:av=off_2984 on theBenchmark for (2984ds/5208Mi)
% 18.44/3.90 % (2502566)Instruction limit reached!
% 18.44/3.90 % (2502566)------------------------------
% 18.44/3.90 % (2502566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502566)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502566)Termination reason: Instruction limit
% 18.44/3.90 % (2502566)Termination phase: Saturation
% 18.44/3.90 % (2502566)Time elapsed: 0.209 s
% 18.44/3.90 % (2502566)Peak memory usage: 88 MB
% 18.44/3.90 % (2502566)Instructions burned: 243 (million)
% 18.44/3.90 % (2502571)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1866992387:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 18.44/3.90 % (2502571)Instruction limit reached!
% 18.44/3.90 % (2502571)------------------------------
% 18.44/3.90 % (2502571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502571)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502571)Termination reason: Instruction limit
% 18.44/3.90 % (2502571)Termination phase: Saturation
% 18.44/3.90 % (2502571)Time elapsed: 0.137 s
% 18.44/3.90 % (2502571)Peak memory usage: 89 MB
% 18.44/3.90 % (2502571)Instructions burned: 135 (million)
% 18.44/3.90 % (2502573)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1306814313:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 18.44/3.90 % (2502575)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2266358338:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 18.44/3.90 % (2502536)First to succeed.
% 18.44/3.90 % (2502536)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2502531"
% 18.44/3.90 % (2502573)Instruction limit reached!
% 18.44/3.90 % (2502573)------------------------------
% 18.44/3.90 % (2502573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502573)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502573)Termination reason: Instruction limit
% 18.44/3.90 % (2502573)Termination phase: Saturation
% 18.44/3.90 % (2502573)Time elapsed: 0.439 s
% 18.44/3.90 % (2502573)Peak memory usage: 92 MB
% 18.44/3.90 % (2502573)Instructions burned: 499 (million)
% 18.44/3.90 % (2502575)Instruction limit reached!
% 18.44/3.90 % (2502575)------------------------------
% 18.44/3.90 % (2502575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.44/3.90 % (2502575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/3.90 % (2502575)CaDiCaL version: 2.1.3
% 18.44/3.90 % (2502575)Termination reason: Instruction limit
% 18.44/3.90 % (2502575)Termination phase: Saturation
% 18.44/3.90 % (2502575)Time elapsed: 0.194 s
% 18.44/3.90 % (2502575)Peak memory usage: 90 MB
% 18.44/3.90 % (2502575)Instructions burned: 191 (million)
% 18.44/3.90 % (2502536)Refutation found. Thanks to Tanya!
% 18.44/3.90 % SZS status Unsatisfiable for theBenchmark
% 18.44/3.90 % SZS output start Proof for theBenchmark
% See solution above
% 19.77/4.09 % (2502536)------------------------------
% 19.77/4.09 % (2502536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.77/4.09 % (2502536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/4.09 % (2502536)CaDiCaL version: 2.1.3
% 19.77/4.09 % (2502536)Termination reason: Refutation
% 19.77/4.09 % (2502536)Time elapsed: 2.210 s
% 19.77/4.09 % (2502536)Peak memory usage: 154 MB
% 19.77/4.09 % (2502536)Instructions burned: 4029 (million)
% 19.77/4.09 % (2502536)------------------------------
% 19.77/4.09 % (2502536)------------------------------
% 19.77/4.09 % (2502531)Success in time 2.677 s
% 19.77/4.09 % Vampire exiting
%------------------------------------------------------------------------------