%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM306+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 : Fri Sep 25 02:23:40 PM UTC 2026
% Result : Theorem 34.04s 16.60s
% Output : CNFRefutation 40.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 70 ( 43 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 200 ( 97 ~; 89 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn23) ).
fof(f35,axiom,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn34) ).
fof(f58,axiom,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn57) ).
fof(f258,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
fof(f259,axiom,
rdn_non_zero_digit(rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit3) ).
fof(f261,axiom,
rdn_non_zero_digit(rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit5) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
fof(f287,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_pos(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_pos(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).
fof(f297,axiom,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
& rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
fof(f300,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( rdn_non_zero(X6)
& rdn_non_zero(X4)
& rdn_non_zero(X2)
& rdn_add_with_carry(rdnn(X10),X2,X4,X6)
& rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
& rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
& rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) )
=> rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',add_rdn_rdn_rdn) ).
fof(f302,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n0_n0_n0) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0) ).
fof(f336,axiom,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n4_n7_n0) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).
fof(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n0_n7_n0) ).
fof(f402,conjecture,
sum(n23,n34,n57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n23_n34_n57) ).
fof(f403,negated_conjecture,
~ sum(n23,n34,n57),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
~ sum(n23,n34,n57),
inference(flattening,[],[f403]) ).
fof(f415,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3))
| sum(X0,X1,X2) ),
inference(ennf_transformation,[],[f287]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3))
| sum(X0,X1,X2) ),
inference(flattening,[],[f415]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X2)
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
inference(ennf_transformation,[],[f300]) ).
fof(f422,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X2)
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
inference(flattening,[],[f421]) ).
fof(f427,plain,
! [X0,X1,X2,X3,X4] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(ennf_transformation,[],[f297]) ).
fof(f428,plain,
! [X0,X1,X2,X3,X4] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(flattening,[],[f427]) ).
fof(f430,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f434,plain,
~ sum(n23,n34,n57),
inference(cnf_transformation,[],[f404]) ).
fof(f440,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3))
| sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f416]) ).
fof(f441,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
inference(cnf_transformation,[],[f24]) ).
fof(f442,plain,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
inference(cnf_transformation,[],[f35]) ).
fof(f443,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf_transformation,[],[f58]) ).
fof(f451,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f302]) ).
fof(f464,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ rdn_non_zero(X6)
| ~ rdn_non_zero(X4)
| ~ rdn_non_zero(X2)
| ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
| ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
| ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8))
| rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
inference(cnf_transformation,[],[f422]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(cnf_transformation,[],[f428]) ).
fof(f488,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f508,plain,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f336]) ).
fof(f540,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f549,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f571,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f430]) ).
fof(f578,plain,
rdn_non_zero_digit(rdnn(n5)),
inference(cnf_transformation,[],[f261]) ).
fof(f580,plain,
rdn_non_zero_digit(rdnn(n3)),
inference(cnf_transformation,[],[f259]) ).
fof(f581,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f258]) ).
tcf(c_49,negated_conjecture,
~ sum(n23,n34,n57),
inference(cnf_transformation,[],[f434]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X3,X4,X5)
| ~ rdn_translate(X5,rdn_pos(X2))
| ~ rdn_translate(X4,rdn_pos(X1))
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_56,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
inference(cnf_transformation,[],[f441]) ).
tcf(c_57,plain,
rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
inference(cnf_transformation,[],[f442]) ).
tcf(c_58,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf_transformation,[],[f443]) ).
tcf(c_66,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f451]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( rdn_add_with_carry(rdnn(X4),rdn(rdnn(X0),X8),rdn(rdnn(X1),X9),rdn(rdnn(X5),X10))
| ~ rdn_non_zero(X10)
| ~ rdn_non_zero(X9)
| ~ rdn_non_zero(X8)
| ~ rdn_add_with_carry(rdnn(X7),X8,X9,X10)
| ~ rdn_digit_add(rdnn(X3),rdnn(X6),rdnn(X7),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X5),rdnn(X6))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X1),rdnn(X4))
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0)) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_103,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f488]) ).
tcf(c_123,plain,
rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f508]) ).
tcf(c_155,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f540]) ).
tcf(c_164,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f549]) ).
tcf(c_186,plain,
! [X0: $i] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_193,plain,
rdn_non_zero_digit(rdnn(n5)),
inference(cnf_transformation,[],[f578]) ).
tcf(c_195,plain,
rdn_non_zero_digit(rdnn(n3)),
inference(cnf_transformation,[],[f580]) ).
tcf(c_196,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f581]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ rdn_translate(n57,rdn_pos(X2))
| ~ rdn_translate(n34,rdn_pos(X1))
| ~ rdn_translate(n23,rdn_pos(X0))
| ~ rdn_add_with_carry(rdnn(n0),X0,X1,X2) ),
inference(resolution,[status(thm)],[c_49,c_55]) ).
tcf(c_643,plain,
rdn_non_zero(rdnn(n5)),
inference(resolution,[status(thm)],[c_186,c_193]) ).
tcf(c_651,plain,
rdn_non_zero(rdnn(n3)),
inference(resolution,[status(thm)],[c_186,c_195]) ).
tcf(c_655,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[status(thm)],[c_186,c_196]) ).
tcf(c_1278,plain,
! [X0: $i,X1: $i] :
( ~ rdn_translate(n57,rdn_pos(X1))
| ~ rdn_translate(n34,rdn_pos(X0))
| ~ rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2))))
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),X0,X1) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_1374,plain,
! [X0: $i] :
( ~ rdn_translate(n57,rdn_pos(X0))
| ~ rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3))))
| ~ rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2))))
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),X0) ),
inference(instantiation,[status(thm)],[c_1278]) ).
tcf(c_2204,plain,
( ~ rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5))))
| ~ rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3))))
| ~ rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2))))
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5))) ),
inference(instantiation,[status(thm)],[c_1374]) ).
tcf(c_7925,plain,
! [X0: $i,X1: $i] :
( rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(X1))
| ~ rdn_digit_add(rdnn(n5),rdnn(X0),rdnn(X1),rdnn(n0)) ),
inference(superposition,[status(thm)],[c_103,c_82]) ).
tcf(c_14358,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)),
inference(superposition,[status(thm)],[c_155,c_7925]) ).
tcf(c_50349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5)))
| ~ rdn_non_zero(rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_non_zero(rdnn(n3))
| ~ rdn_add_with_carry(rdnn(X2),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X0))
| ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X1))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0)) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_50638,plain,
! [X0: $i,X1: $i] :
( rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5)))
| ~ rdn_non_zero(rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_non_zero(rdnn(n3))
| ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(X0))
| ~ rdn_add_with_carry(rdnn(X1),rdnn(n2),rdnn(n3),rdnn(n5))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0)) ),
inference(instantiation,[status(thm)],[c_50349]) ).
tcf(c_50639,plain,
( rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5)))
| ~ rdn_non_zero(rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| ~ rdn_non_zero(rdnn(n3))
| ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0))
| ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0))
| ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n3),rdnn(n5)) ),
inference(instantiation,[status(thm)],[c_50638]) ).
tcf(c_50640,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50639,c_14358,c_2204,c_655,c_651,c_643,c_66,c_123,c_164,c_56,c_57,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM306+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.59 % Computer : n007.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Thu Sep 24 03:31:34 UTC 2026
% 0.11/10.60 % CPUTime :
% 0.11/10.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.63 Running first-order theorem proving
% 0.14/10.64 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.65
% 0.14/10.65 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.65
% 0.14/10.65 % Detected problem language: tptp
% 0.14/10.66 % Proving...
% 34.04/16.60 % SZS status Started for theBenchmark.p
% 34.04/16.60 % SZS status Theorem for theBenchmark.p
% 34.04/16.60
% 34.04/16.60 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 34.04/16.60
% 34.04/16.60 % ------ iProver source info
% 34.04/16.60
% 34.04/16.60 % git: date: 2026-07-19 20:42:38 +0200
% 34.04/16.60 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 34.04/16.60 % git: non_committed_changes: false
% 34.04/16.60
% 34.04/16.60 % ------ Parsing...
% 34.04/16.60 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 34.04/16.60
% 34.04/16.60 % ------ Preprocessing... sf_s rm: 18 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 10 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 34.04/16.60
% 34.04/16.60 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 34.04/16.60 % ------ Proving...
% 34.04/16.60 % ------ Problem Properties
% 34.04/16.60
% 34.04/16.60 %
% 34.04/16.60 % clauses 119
% 34.04/16.60 % conjectures 0
% 34.04/16.60 % EPR 0
% 34.04/16.60 % Horn 119
% 34.04/16.60 % unary 112
% 34.04/16.60 % binary 2
% 34.04/16.60 % lits 142
% 34.04/16.60 % lits eq 0
% 34.04/16.60 % fd_pure 0
% 34.04/16.60 % fd_pseudo 0
% 34.04/16.60 % fd_cond 0
% 34.04/16.60 % fd_pseudo_cond 0
% 34.04/16.60 % AC symbols 0
% 34.04/16.60
% 34.04/16.60 % ------ Schedule dynamic 5 is on
% 34.04/16.60
% 34.04/16.60 % ------ no conjectures: strip conj schedule
% 34.04/16.60
% 34.04/16.60 % ------ no equalities: superposition off
% 34.04/16.60
% 34.04/16.60 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 34.04/16.60
% 34.04/16.60
% 34.04/16.60 % ------
% 34.04/16.60 % Current options:
% 34.04/16.60 % ------
% 34.04/16.60
% 34.04/16.60
% 34.04/16.60 %
% 34.04/16.60
% 34.04/16.60 % ------ Proving...
% 34.04/16.60 %
% 34.04/16.60
% 34.04/16.60 % SZS status Theorem for theBenchmark.p
% 34.04/16.60
% 34.04/16.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.29/16.60
% 40.29/16.60
%------------------------------------------------------------------------------