%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM924+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:17:29 PM UTC 2026
% Result : Theorem 8.58s 2.10s
% Output : Refutation 9.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 125 ( 125 unt; 0 def)
% Number of atoms : 125 ( 89 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
fof(f21,axiom,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
fof(f44,axiom,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(bit1(pls),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_add__special_I2_J) ).
fof(f187,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_Bit0__Pls) ).
fof(f188,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_Pls__def) ).
fof(f198,axiom,
! [X0] : bit0(X0) = plus_plus_int(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_Bit0__def) ).
fof(f203,axiom,
! [X0] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X0)) = number_number_of_int(bit0(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_double__number__of__Bit0) ).
fof(f228,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_semiring__norm_I112_J) ).
fof(f240,axiom,
! [X0,X1] : number_number_of_int(plus_plus_int(X0,X1)) = plus_plus_int(number_number_of_int(X0),number_number_of_int(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_number__of__add) ).
fof(f252,axiom,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_Bit1__def) ).
fof(f264,axiom,
! [X0] : number_number_of_int(bit1(X0)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X0)),number_number_of_int(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_246_number__of__Bit1) ).
fof(f281,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_one__add__one__is__two) ).
fof(f340,axiom,
! [X0,X1,X2] : times_times_int(X0,times_times_int(X1,X2)) = times_times_int(X1,times_times_int(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(f343,axiom,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(f346,axiom,
! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f349,axiom,
! [X0,X1,X2] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(X1,plus_plus_int(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
fof(f355,axiom,
! [X0,X1,X2] : plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(f380,axiom,
! [X0] : times_times_int(X0,zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(f428,axiom,
! [X0] : plus_plus_int(X0,X0) = times_times_int(plus_plus_int(one_one_int,one_one_int),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_410_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(f434,axiom,
! [X0,X1] : plus_plus_int(times_times_int(X0,X1),X1) = times_times_int(plus_plus_int(X0,one_one_int),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_416_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(f456,axiom,
! [X0] : times_times_int(X0,X0) = power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(f716,conjecture,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f717,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(negated_conjecture,[status(cth)],[f716]) ).
fof(f718,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(flattening,[],[f717]) ).
fof(f1346,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(cnf_transformation,[],[f20]) ).
fof(f1347,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
inference(cnf_transformation,[],[f21]) ).
fof(f1382,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(bit1(pls),X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f1598,plain,
pls = bit0(pls),
inference(cnf_transformation,[],[f187]) ).
fof(f1599,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f188]) ).
fof(f1613,plain,
! [X0] : bit0(X0) = plus_plus_int(X0,X0),
inference(cnf_transformation,[],[f198]) ).
fof(f1618,plain,
! [X0] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X0)) = number_number_of_int(bit0(X0)),
inference(cnf_transformation,[],[f203]) ).
fof(f1645,plain,
zero_zero_int = number_number_of_int(pls),
inference(cnf_transformation,[],[f228]) ).
fof(f1659,plain,
! [X0,X1] : plus_plus_int(number_number_of_int(X0),number_number_of_int(X1)) = number_number_of_int(plus_plus_int(X0,X1)),
inference(cnf_transformation,[],[f240]) ).
fof(f1678,plain,
! [X0] : bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0),
inference(cnf_transformation,[],[f252]) ).
fof(f1692,plain,
! [X0] : number_number_of_int(bit1(X0)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X0)),number_number_of_int(X0)),
inference(cnf_transformation,[],[f264]) ).
fof(f1714,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(cnf_transformation,[],[f281]) ).
fof(f1792,plain,
! [X2,X0,X1] : times_times_int(X0,times_times_int(X1,X2)) = times_times_int(X1,times_times_int(X0,X2)),
inference(cnf_transformation,[],[f340]) ).
fof(f1795,plain,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(cnf_transformation,[],[f343]) ).
fof(f1798,plain,
! [X0,X1] : plus_plus_int(X0,X1) = plus_plus_int(X1,X0),
inference(cnf_transformation,[],[f346]) ).
fof(f1801,plain,
! [X2,X0,X1] : plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(X1,plus_plus_int(X0,X2)),
inference(cnf_transformation,[],[f349]) ).
fof(f1807,plain,
! [X2,X0,X1] : plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)),
inference(cnf_transformation,[],[f355]) ).
fof(f1836,plain,
! [X0] : zero_zero_int = times_times_int(X0,zero_zero_int),
inference(cnf_transformation,[],[f380]) ).
fof(f1899,plain,
! [X0] : plus_plus_int(X0,X0) = times_times_int(plus_plus_int(one_one_int,one_one_int),X0),
inference(cnf_transformation,[],[f428]) ).
fof(f1905,plain,
! [X0,X1] : plus_plus_int(times_times_int(X0,X1),X1) = times_times_int(plus_plus_int(X0,one_one_int),X1),
inference(cnf_transformation,[],[f434]) ).
fof(f1936,plain,
! [X0] : power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(X0,X0),
inference(cnf_transformation,[],[f456]) ).
fof(f2281,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(cnf_transformation,[],[f718]) ).
fof(f2286,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),pls)),
inference(definition_unfolding,[],[f1346,f1613,f1613,f1678,f1613,f1613,f1678,f1599]) ).
fof(f2287,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),
inference(definition_unfolding,[],[f1347,f1613,f1613,f1678,f1613,f1678]) ).
fof(f2321,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),X0)),
inference(definition_unfolding,[],[f1382,f1678]) ).
fof(f2432,plain,
pls = plus_plus_int(pls,pls),
inference(definition_unfolding,[],[f1598,f1613]) ).
fof(f2446,plain,
! [X0] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X0)) = number_number_of_int(plus_plus_int(X0,X0)),
inference(definition_unfolding,[],[f1618,f1613]) ).
fof(f2467,plain,
pls = number_number_of_int(pls),
inference(definition_unfolding,[],[f1645,f1599]) ).
fof(f2496,plain,
! [X0] : plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X0)),number_number_of_int(X0)) = number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,X0),X0)),
inference(definition_unfolding,[],[f1692,f1678]) ).
fof(f2514,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))),
inference(definition_unfolding,[],[f1714,f1613,f1678]) ).
fof(f2560,plain,
! [X0] : pls = times_times_int(X0,pls),
inference(definition_unfolding,[],[f1836,f1599,f1599]) ).
fof(f2589,plain,
! [X0] : times_times_int(X0,X0) = power_power_int(X0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(definition_unfolding,[],[f1936,f1613,f1678]) ).
fof(f2693,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),pls),
inference(definition_unfolding,[],[f2281,f1613,f1678,f1599]) ).
fof(f2920,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),plus_plus_int(pls,plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),
inference(forward_demodulation,[],[f2514,f1807]) ).
fof(f2934,plain,
! [X0] : plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(X0)),number_number_of_int(X0)) = number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(X0,X0))),
inference(forward_demodulation,[],[f2496,f1807]) ).
fof(f3040,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),plus_plus_int(pls,X0))),
inference(forward_demodulation,[],[f2321,f1807]) ).
fof(f3066,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(forward_demodulation,[],[f2287,f1798]) ).
fof(f3067,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),plus_plus_int(times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),pls),pls)),
inference(forward_demodulation,[],[f2286,f1905]) ).
fof(f3116,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(forward_demodulation,[],[f2920,f1807]) ).
fof(f3128,plain,
! [X0] : number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(X0,X0))) = plus_plus_int(one_one_int,plus_plus_int(number_number_of_int(X0),number_number_of_int(X0))),
inference(forward_demodulation,[],[f2934,f1807]) ).
fof(f3198,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,X0)))),
inference(forward_demodulation,[],[f3040,f1807]) ).
fof(f3217,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t) = plus_plus_int(one_one_int,times_times_int(s,s)),
inference(forward_demodulation,[],[f3066,f2589]) ).
fof(f3218,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),pls))),
inference(forward_demodulation,[],[f3067,f1798]) ).
fof(f3262,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(forward_demodulation,[],[f3116,f1801]) ).
fof(f3274,plain,
! [X0] : number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(X0,X0))) = plus_plus_int(one_one_int,number_number_of_int(plus_plus_int(X0,X0))),
inference(forward_demodulation,[],[f3128,f1659]) ).
fof(f3334,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,X0)))),
inference(forward_demodulation,[],[f3198,f1801]) ).
fof(f3359,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t),t),
inference(forward_demodulation,[],[f3217,f1905]) ).
fof(f3360,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),plus_plus_int(pls,pls)),
inference(forward_demodulation,[],[f3218,f2560]) ).
fof(f3394,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(forward_demodulation,[],[f3262,f1801]) ).
fof(f3444,plain,
! [X0] : plus_plus_int(one_one_int,number_number_of_int(X0)) = number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,X0)))),
inference(forward_demodulation,[],[f3334,f1801]) ).
fof(f3461,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t)),
inference(forward_demodulation,[],[f3359,f1798]) ).
fof(f3462,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),pls),
inference(forward_demodulation,[],[f3360,f2432]) ).
fof(f3490,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))),
inference(forward_demodulation,[],[f3394,f1807]) ).
fof(f3547,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(t,times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m))),
inference(forward_demodulation,[],[f3461,f1795]) ).
fof(f3548,plain,
ord_less_int(plus_plus_int(times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t),t),pls),
inference(forward_demodulation,[],[f3462,f1905]) ).
fof(f3576,plain,
plus_plus_int(one_one_int,one_one_int) = plus_plus_int(one_one_int,number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,pls)))),
inference(forward_demodulation,[],[f3490,f3444]) ).
fof(f3630,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(t,times_times_int(m,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3547,f1795]) ).
fof(f3631,plain,
ord_less_int(plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t)),pls),
inference(forward_demodulation,[],[f3548,f1798]) ).
fof(f3659,plain,
plus_plus_int(one_one_int,one_one_int) = plus_plus_int(one_one_int,plus_plus_int(one_one_int,number_number_of_int(plus_plus_int(pls,pls)))),
inference(forward_demodulation,[],[f3576,f3274]) ).
fof(f3711,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3630,f1792]) ).
fof(f3712,plain,
ord_less_int(plus_plus_int(t,times_times_int(t,times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m))),pls),
inference(forward_demodulation,[],[f3631,f1795]) ).
fof(f3740,plain,
plus_plus_int(one_one_int,one_one_int) = plus_plus_int(one_one_int,plus_plus_int(one_one_int,number_number_of_int(pls))),
inference(forward_demodulation,[],[f3659,f2432]) ).
fof(f3792,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3711,f2446]) ).
fof(f3793,plain,
ord_less_int(plus_plus_int(t,times_times_int(t,times_times_int(m,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3712,f1795]) ).
fof(f3821,plain,
plus_plus_int(one_one_int,one_one_int) = plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls)),
inference(forward_demodulation,[],[f3740,f2467]) ).
fof(f3871,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3792,f2446]) ).
fof(f3872,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3793,f1792]) ).
fof(f3899,plain,
plus_plus_int(one_one_int,one_one_int) = plus_plus_int(one_one_int,plus_plus_int(pls,one_one_int)),
inference(forward_demodulation,[],[f3821,f1798]) ).
fof(f3943,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))),
inference(forward_demodulation,[],[f3871,f1807]) ).
fof(f3944,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3872,f2446]) ).
fof(f3971,plain,
plus_plus_int(one_one_int,one_one_int) = plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)),
inference(forward_demodulation,[],[f3899,f1801]) ).
fof(f3987,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,number_number_of_int(plus_plus_int(pls,pls)))))))),
inference(forward_demodulation,[],[f3943,f3274]) ).
fof(f3988,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3944,f2446]) ).
fof(f4020,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,number_number_of_int(pls))))))),
inference(forward_demodulation,[],[f3987,f2432]) ).
fof(f4021,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))),pls),
inference(forward_demodulation,[],[f3988,f1807]) ).
fof(f4049,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,pls)))))),
inference(forward_demodulation,[],[f4020,f2467]) ).
fof(f4050,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,number_number_of_int(plus_plus_int(pls,pls)))))))),pls),
inference(forward_demodulation,[],[f4021,f3274]) ).
fof(f4078,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),plus_plus_int(one_one_int,pls)))))),
inference(forward_demodulation,[],[f4049,f1899]) ).
fof(f4079,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,number_number_of_int(pls))))))),pls),
inference(forward_demodulation,[],[f4050,f2432]) ).
fof(f4104,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls))))))),
inference(forward_demodulation,[],[f4078,f1807]) ).
fof(f4105,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,pls)))))),pls),
inference(forward_demodulation,[],[f4079,f2467]) ).
fof(f4128,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))))),
inference(forward_demodulation,[],[f4104,f1801]) ).
fof(f4129,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),plus_plus_int(one_one_int,pls)))))),pls),
inference(forward_demodulation,[],[f4105,f1899]) ).
fof(f4152,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,one_one_int))))))),
inference(forward_demodulation,[],[f4128,f1798]) ).
fof(f4153,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls))))))),pls),
inference(forward_demodulation,[],[f4129,f1807]) ).
fof(f4162,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int))))))),
inference(forward_demodulation,[],[f4152,f1801]) ).
fof(f4163,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))))),pls),
inference(forward_demodulation,[],[f4153,f1801]) ).
fof(f4170,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))),
inference(forward_demodulation,[],[f4162,f3971]) ).
fof(f4171,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,one_one_int))))))),pls),
inference(forward_demodulation,[],[f4163,f1798]) ).
fof(f4177,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),
inference(forward_demodulation,[],[f4170,f3971]) ).
fof(f4178,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int))))))),pls),
inference(forward_demodulation,[],[f4171,f1801]) ).
fof(f4182,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),
inference(forward_demodulation,[],[f4177,f1899]) ).
fof(f4183,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))),pls),
inference(forward_demodulation,[],[f4178,f3971]) ).
fof(f4186,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,one_one_int)))))),
inference(forward_demodulation,[],[f4182,f1807]) ).
fof(f4187,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),pls),
inference(forward_demodulation,[],[f4183,f3971]) ).
fof(f4190,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),pls),
inference(forward_demodulation,[],[f4187,f1899]) ).
fof(f4193,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,one_one_int)))))),pls),
inference(forward_demodulation,[],[f4190,f1807]) ).
fof(f4196,plain,
ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(forward_demodulation,[],[f4193,f4186]) ).
fof(f4231,plain,
~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),pls),
inference(superposition,[],[f2693,f1798]) ).
fof(f4236,plain,
~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(forward_demodulation,[],[f4231,f2589]) ).
fof(f4242,plain,
$false,
inference(forward_subsumption_resolution,[],[f4236,f4196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM924+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 21:46:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 8.58/2.10 % (3985900)Detected formulas, will run a generic FOF schedule.
% 8.58/2.10 % (3985909)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2960655076:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.58/2.10 % (3985910)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2421844176:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.58/2.10 % (3985905)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=3827231057:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.58/2.10 % (3985908)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4038342571:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.58/2.10 % (3985906)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=531228967:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.58/2.10 % (3985907)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1202007144:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.58/2.10 % (3985909)Instruction limit reached!
% 8.58/2.10 % (3985909)------------------------------
% 8.58/2.10 % (3985909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985909)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985909)Termination reason: Instruction limit
% 8.58/2.10 % (3985909)Termination phase: Saturation
% 8.58/2.10 % (3985909)Time elapsed: 0.044 s
% 8.58/2.10 % (3985909)Peak memory usage: 89 MB
% 8.58/2.10 % (3985909)Instructions burned: 121 (million)
% 8.58/2.10 % (3985911)dis-21_1_sil=8000:lcm=predicate:random_seed=1022358785:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.58/2.10 % (3985908)Instruction limit reached!
% 8.58/2.10 % (3985908)------------------------------
% 8.58/2.10 % (3985908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985908)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985908)Termination reason: Instruction limit
% 8.58/2.10 % (3985908)Termination phase: Saturation
% 8.58/2.10 % (3985908)Time elapsed: 0.069 s
% 8.58/2.10 % (3985908)Peak memory usage: 90 MB
% 8.58/2.10 % (3985908)Instructions burned: 110 (million)
% 8.58/2.10 % (3985911)Instruction limit reached!
% 8.58/2.10 % (3985911)------------------------------
% 8.58/2.10 % (3985911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985911)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985911)Termination reason: Instruction limit
% 8.58/2.10 % (3985911)Termination phase: Saturation
% 8.58/2.10 % (3985911)Time elapsed: 0.075 s
% 8.58/2.10 % (3985911)Peak memory usage: 90 MB
% 8.58/2.10 % (3985911)Instructions burned: 130 (million)
% 8.58/2.10 % (3985910)Instruction limit reached!
% 8.58/2.10 % (3985910)------------------------------
% 8.58/2.10 % (3985910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985910)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985910)Termination reason: Instruction limit
% 8.58/2.10 % (3985910)Termination phase: Saturation
% 8.58/2.10 % (3985910)Time elapsed: 0.088 s
% 8.58/2.10 % (3985910)Peak memory usage: 90 MB
% 8.58/2.10 % (3985910)Instructions burned: 140 (million)
% 8.58/2.10 % (3985919)lrs+10_1_sil=8000:sp=occurrence:random_seed=738395479:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.58/2.10 % (3985920)lrs+10_1_sil=32000:urr=on:br=off:random_seed=183385574:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.58/2.10 % (3985919)Instruction limit reached!
% 8.58/2.10 % (3985919)------------------------------
% 8.58/2.10 % (3985919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985919)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985919)Termination reason: Instruction limit
% 8.58/2.10 % (3985919)Termination phase: Saturation
% 8.58/2.10 % (3985919)Time elapsed: 0.107 s
% 8.58/2.10 % (3985919)Peak memory usage: 93 MB
% 8.58/2.10 % (3985919)Instructions burned: 287 (million)
% 8.58/2.10 % (3985923)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=648146320:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.58/2.10 % (3985921)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3140485989:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.58/2.10 % (3985925)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2314780703:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.58/2.10 % (3985920)Instruction limit reached!
% 8.58/2.10 % (3985920)------------------------------
% 8.58/2.10 % (3985920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985920)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985920)Termination reason: Instruction limit
% 8.58/2.10 % (3985920)Termination phase: Saturation
% 8.58/2.10 % (3985920)Time elapsed: 0.091 s
% 8.58/2.10 % (3985920)Peak memory usage: 90 MB
% 8.58/2.10 % (3985920)Instructions burned: 158 (million)
% 8.58/2.10 % (3985925)Instruction limit reached!
% 8.58/2.10 % (3985925)------------------------------
% 8.58/2.10 % (3985925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985925)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985925)Termination reason: Instruction limit
% 8.58/2.10 % (3985925)Termination phase: Saturation
% 8.58/2.10 % (3985925)Time elapsed: 0.078 s
% 8.58/2.10 % (3985925)Peak memory usage: 91 MB
% 8.58/2.10 % (3985925)Instructions burned: 296 (million)
% 8.58/2.10 % (3985923)Instruction limit reached!
% 8.58/2.10 % (3985923)------------------------------
% 8.58/2.10 % (3985923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985923)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985923)Termination reason: Instruction limit
% 8.58/2.10 % (3985923)Termination phase: Saturation
% 8.58/2.10 % (3985923)Time elapsed: 0.158 s
% 8.58/2.10 % (3985923)Peak memory usage: 92 MB
% 8.58/2.10 % (3985923)Instructions burned: 248 (million)
% 8.58/2.10 % (3985921)Instruction limit reached!
% 8.58/2.10 % (3985921)------------------------------
% 8.58/2.10 % (3985921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985921)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985921)Termination reason: Instruction limit
% 8.58/2.10 % (3985921)Termination phase: Saturation
% 8.58/2.10 % (3985921)Time elapsed: 0.194 s
% 8.58/2.10 % (3985921)Peak memory usage: 92 MB
% 8.58/2.10 % (3985921)Instructions burned: 326 (million)
% 8.58/2.10 % (3985929)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2627595510:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.58/2.10 % (3985930)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2696196845:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.58/2.10 % (3985930)Instruction limit reached!
% 8.58/2.10 % (3985930)------------------------------
% 8.58/2.10 % (3985930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985930)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985930)Termination reason: Instruction limit
% 8.58/2.10 % (3985930)Termination phase: Saturation
% 8.58/2.10 % (3985930)Time elapsed: 0.035 s
% 8.58/2.10 % (3985930)Peak memory usage: 91 MB
% 8.58/2.10 % (3985930)Instructions burned: 113 (million)
% 8.58/2.10 % (3985931)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2470037303:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.58/2.10 % (3985932)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3647175956:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.58/2.10 % (3985931)Instruction limit reached!
% 8.58/2.10 % (3985931)------------------------------
% 8.58/2.10 % (3985931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985931)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985931)Termination reason: Instruction limit
% 8.58/2.10 % (3985931)Termination phase: Saturation
% 8.58/2.10 % (3985931)Time elapsed: 0.064 s
% 8.58/2.10 % (3985931)Peak memory usage: 90 MB
% 8.58/2.10 % (3985931)Instructions burned: 128 (million)
% 8.58/2.10 % (3985935)lrs+10_1_sil=8000:sp=occurrence:random_seed=1893342147:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.58/2.10 % (3985932)Instruction limit reached!
% 8.58/2.10 % (3985932)------------------------------
% 8.58/2.10 % (3985932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985932)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985932)Termination reason: Instruction limit
% 8.58/2.10 % (3985932)Termination phase: Saturation
% 8.58/2.10 % (3985932)Time elapsed: 0.059 s
% 8.58/2.10 % (3985932)Peak memory usage: 89 MB
% 8.58/2.10 % (3985932)Instructions burned: 114 (million)
% 8.58/2.10 % (3985939)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1632581322:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.58/2.10 % (3985940)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2868624544:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.58/2.10 % (3985906)First to succeed.
% 8.58/2.10 % (3985906)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3985900"
% 8.58/2.10 % (3985935)Instruction limit reached!
% 8.58/2.10 % (3985935)------------------------------
% 8.58/2.10 % (3985935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985935)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985935)Termination reason: Instruction limit
% 8.58/2.10 % (3985935)Termination phase: Saturation
% 8.58/2.10 % (3985935)Time elapsed: 0.320 s
% 8.58/2.10 % (3985935)Peak memory usage: 99 MB
% 8.58/2.10 % (3985935)Instructions burned: 908 (million)
% 8.58/2.10 % (3985939)Instruction limit reached!
% 8.58/2.10 % (3985939)------------------------------
% 8.58/2.10 % (3985939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985939)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985939)Termination reason: Instruction limit
% 8.58/2.10 % (3985939)Termination phase: Saturation
% 8.58/2.10 % (3985939)Time elapsed: 0.256 s
% 8.58/2.10 % (3985939)Peak memory usage: 94 MB
% 8.58/2.10 % (3985939)Instructions burned: 438 (million)
% 8.58/2.10 % (3985943)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=375523680:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.58/2.10 % (3985943)Instruction limit reached!
% 8.58/2.10 % (3985943)------------------------------
% 8.58/2.10 % (3985943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.10 % (3985943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.10 % (3985943)CaDiCaL version: 2.1.3
% 8.58/2.10 % (3985943)Termination reason: Instruction limit
% 8.58/2.10 % (3985943)Termination phase: Saturation
% 8.58/2.10 % (3985943)Time elapsed: 0.045 s
% 8.58/2.10 % (3985943)Peak memory usage: 92 MB
% 8.58/2.10 % (3985943)Instructions burned: 137 (million)
% 8.58/2.10 % (3985906)Refutation found. Thanks to Tanya!
% 8.58/2.10 % SZS status Theorem for theBenchmark
% 8.58/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 9.29/2.29 % (3985906)------------------------------
% 9.29/2.29 % (3985906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.29/2.29 % (3985906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/2.29 % (3985906)CaDiCaL version: 2.1.3
% 9.29/2.29 % (3985906)Termination reason: Refutation
% 9.29/2.29 % (3985906)Time elapsed: 0.821 s
% 9.29/2.29 % (3985906)Peak memory usage: 138 MB
% 9.29/2.29 % (3985906)Instructions burned: 1305 (million)
% 9.29/2.29 % (3985906)------------------------------
% 9.29/2.29 % (3985906)------------------------------
% 9.29/2.29 % (3985900)Success in time 1.259 s
% 9.29/2.29 % Vampire exiting
%------------------------------------------------------------------------------