%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV112+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p 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 : Fri Sep 25 03:16:27 PM UTC 2026
% Result : Theorem 7.38s 1.80s
% Output : CNFRefutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 130 ( 35 unt; 3 def)
% Number of atoms : 697 ( 124 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 857 ( 290 ~; 330 |; 213 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 20 con; 0-3 aty)
% Number of variables : 162 ( 0 sgn 124 !; 38 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f53,conjecture,
( ( ! [X8] :
( ( leq(X8,minus(pv57,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,pv57)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) )
=> ( ! [X16] :
( ( leq(X16,minus(plus(n1,pv57),n1))
& leq(n0,X16) )
=> ! [X17] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X17) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0005) ).
fof(f54,negated_conjecture,
~ ( ( ! [X8] :
( ( leq(X8,minus(pv57,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,pv57)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5) )
=> ( ! [X16] :
( ( leq(X16,minus(plus(n1,pv57),n1))
& leq(n0,X16) )
=> ! [X17] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X17) )
=> a_select3(id_ds1_filter,X16,X17) = a_select3(id_ds1_filter,X17,X16) ) )
& ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> a_select3(pminus_ds1_filter,X14,X15) = a_select3(pminus_ds1_filter,X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(r_ds1_filter,X12,X13) = a_select3(r_ds1_filter,X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f101,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f102,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f103,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(f104,plain,
( ! [X8] :
( ~ leq(X8,minus(pv57,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,pv57)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( ? [X16] :
( leq(X16,minus(plus(n1,pv57),n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) )
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) )
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) )
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f105,plain,
( ! [X8] :
( ~ leq(X8,minus(pv57,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,pv57)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( ? [X16] :
( leq(X16,minus(plus(n1,pv57),n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) )
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) )
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) )
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(flattening,[],[f104]) ).
fof(f134,plain,
( ~ sP2
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f135,plain,
( ~ sP2
| ? [X0,X1] :
( leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f134]) ).
fof(f136,plain,
( ~ sP2
| ( leq(sK4,minus(n3,n1))
& leq(sK3,minus(n3,n1))
& leq(n0,sK4)
& leq(n0,sK3)
& a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f135]) ).
fof(f137,plain,
( ~ sP1
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f138,plain,
( ~ sP1
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0) ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
( ~ sP1
| ( leq(sK6,minus(n6,n1))
& leq(sK5,minus(n6,n1))
& leq(n0,sK6)
& leq(n0,sK5)
& a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f138]) ).
fof(f143,plain,
( ! [X10] :
( ~ leq(X10,minus(pv57,n1))
| ~ leq(n0,X10)
| ! [X11] :
( ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,pv57)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| ? [X0,X1] :
( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0)
& a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(rectify,[],[f133]) ).
fof(f144,plain,
( ! [X10] :
( ~ leq(X10,minus(pv57,n1))
| ~ leq(n0,X10)
| ! [X11] :
( ~ leq(X11,minus(n6,n1))
| ~ leq(n0,X11)
| a_select3(id_ds1_filter,X10,X11) = a_select3(id_ds1_filter,X11,X10) ) )
& ! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,pv57)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| ( leq(sK10,minus(n6,n1))
& leq(sK9,minus(n6,n1))
& leq(n0,sK10)
& leq(n0,sK9)
& a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f143]) ).
fof(f148,plain,
( ~ sP2
| leq(sK4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f149,plain,
( ~ sP2
| leq(sK3,minus(n3,n1)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f150,plain,
( ~ sP2
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f151,plain,
( ~ sP2
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f152,plain,
( ~ sP2
| a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f153,plain,
( ~ sP1
| leq(sK6,minus(n6,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f154,plain,
( ~ sP1
| leq(sK5,minus(n6,n1)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f155,plain,
( ~ sP1
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f139]) ).
fof(f156,plain,
( ~ sP1
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f139]) ).
fof(f157,plain,
( ~ sP1
| a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) ),
inference(cnf_transformation,[],[f139]) ).
fof(f164,plain,
! [X8,X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(X8,pv57)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ),
inference(cnf_transformation,[],[f144]) ).
fof(f165,plain,
! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) ),
inference(cnf_transformation,[],[f144]) ).
fof(f166,plain,
! [X4,X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f167,plain,
! [X2,X3] :
( ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f169,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f170,plain,
leq(n0,pv57),
inference(cnf_transformation,[],[f144]) ).
fof(f171,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f144]) ).
fof(f172,plain,
( sP0
| sP1
| sP2
| leq(sK10,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f173,plain,
( sP0
| sP1
| sP2
| leq(sK9,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f174,plain,
( sP0
| sP1
| sP2
| leq(n0,sK10)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f175,plain,
( sP0
| sP1
| sP2
| leq(n0,sK9)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f176,plain,
( sP0
| sP1
| sP2
| a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f188,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f101]) ).
fof(f208,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f210,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f103]) ).
fof(f219,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f237,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f102]) ).
fof(f254,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f263,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f189,f208]) ).
fof(f273,plain,
n3 = plus(n1,plus(n1,plus(n1,n0))),
inference(definition_unfolding,[],[f210,f208,f208,f208]) ).
fof(f275,plain,
n2 = plus(n1,plus(n1,n0)),
inference(definition_unfolding,[],[f237,f208,f208]) ).
fof(f281,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f254,f219,f208]) ).
tcf(c_49,plain,
( ~ sP2
| ( a_select3(r_ds1_filter,sK3,sK4) != a_select3(r_ds1_filter,sK4,sK3) ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_50,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_51,plain,
( leq(n0,sK4)
| ~ sP2 ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_52,plain,
( leq(sK3,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_53,plain,
( leq(sK4,minus(n3,n1))
| ~ sP2 ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_54,plain,
( ~ sP1
| ( a_select3(pminus_ds1_filter,sK5,sK6) != a_select3(pminus_ds1_filter,sK6,sK5) ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_55,plain,
( leq(n0,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_56,plain,
( leq(n0,sK6)
| ~ sP1 ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_57,plain,
( leq(sK5,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_58,plain,
( leq(sK6,minus(n6,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_64,negated_conjecture,
( sP0
| sP1
| sP2
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ( a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9) ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_65,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK9)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_66,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK10)
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_67,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK9,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_68,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK10,minus(n6,n1))
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1)) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_69,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f171]) ).
tcf(c_70,negated_conjecture,
leq(n0,pv57),
inference(cnf_transformation,[],[f170]) ).
tcf(c_71,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f169]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_74,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pv57)
| ~ leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_89,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f188]) ).
tcf(c_90,plain,
plus(n1,n0) = n1,
inference(cnf_transformation,[],[f263]) ).
tcf(c_110,plain,
plus(n1,plus(n1,plus(n1,n0))) = n3,
inference(cnf_transformation,[],[f273]) ).
tcf(c_136,plain,
plus(n1,plus(n1,n0)) = n2,
inference(cnf_transformation,[],[f275]) ).
tcf(c_153,plain,
! [X0: $i] : minus(plus(n1,X0),n1) = X0,
inference(cnf_transformation,[],[f281]) ).
tcf(c_188,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK10) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_69,c_71,c_66]) ).
tcf(c_190,negated_conjecture,
( sP0
| sP1
| sP2
| leq(n0,sK9) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_69,c_71,c_65]) ).
tcf(c_192,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK10,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_69,c_71,c_68]) ).
tcf(c_194,negated_conjecture,
( sP0
| sP1
| sP2
| leq(sK9,minus(n6,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_69,c_71,c_67]) ).
tcf(c_196,negated_conjecture,
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,sK9,sK10) != a_select3(q_ds1_filter,sK10,sK9) ) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_69,c_71,c_64]) ).
tcf(c_928,plain,
plus(n1,n1) = n2,
inference(light_normalisation,[status(thm)],[c_136,c_90]) ).
tcf(c_964,plain,
plus(n1,n2) = n3,
inference(light_normalisation,[status(thm)],[c_110,c_90,c_928]) ).
tcf(c_3964,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,X0,sK9) = a_select3(q_ds1_filter,sK9,X0) )
| ~ leq(n0,sK9)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(superposition,[status(thm)],[c_194,c_73]) ).
tcf(c_4367,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,X0,sK9) = a_select3(q_ds1_filter,sK9,X0) )
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3964,c_190,c_3964]) ).
tcf(c_4368,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,X0,sK9) = a_select3(q_ds1_filter,sK9,X0) )
| ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1)) ),
inference(renaming,[status(thm)],[c_4367]) ).
tcf(c_4383,plain,
( sP0
| sP1
| sP2
| ( a_select3(q_ds1_filter,sK9,sK10) = a_select3(q_ds1_filter,sK10,sK9) )
| ~ leq(n0,sK10) ),
inference(superposition,[status(thm)],[c_192,c_4368]) ).
tcf(c_4396,plain,
( sP0
| sP1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_4383,c_188,c_196,c_4383]) ).
tcf(c_4592,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK3) = a_select3(r_ds1_filter,sK3,X0) )
| ~ sP2
| ~ leq(n0,sK3)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(superposition,[status(thm)],[c_52,c_74]) ).
tcf(c_4817,plain,
! [X0: $i] :
( ( a_select3(pminus_ds1_filter,sK5,X0) = a_select3(pminus_ds1_filter,X0,sK5) )
| ~ leq(n0,sK5)
| ~ leq(n0,X0)
| ~ leq(sK5,minus(n6,n1))
| ~ leq(X0,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_5054,plain,
minus(n3,n1) = n2,
inference(superposition,[status(thm)],[c_964,c_153]) ).
tcf(c_5061,plain,
( leq(sK4,n2)
| ~ sP2 ),
inference(demodulation,[status(thm)],[c_53,c_5054]) ).
tcf(c_5184,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK3) = a_select3(r_ds1_filter,sK3,X0) )
| ~ sP2
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4592,c_50,c_4592]) ).
tcf(c_5185,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK3) = a_select3(r_ds1_filter,sK3,X0) )
| ~ sP2
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1)) ),
inference(renaming,[status(thm)],[c_5184]) ).
tcf(c_5187,plain,
! [X0: $i] :
( ( a_select3(r_ds1_filter,X0,sK3) = a_select3(r_ds1_filter,sK3,X0) )
| ~ sP2
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(light_normalisation,[status(thm)],[c_5185,c_5054]) ).
tcf(c_5201,plain,
( ( a_select3(r_ds1_filter,sK3,sK4) = a_select3(r_ds1_filter,sK4,sK3) )
| ~ sP2
| ~ leq(sK4,n2) ),
inference(superposition,[status(thm)],[c_51,c_5187]) ).
tcf(c_5204,plain,
( ( a_select3(r_ds1_filter,sK3,pv5) = a_select3(r_ds1_filter,pv5,sK3) )
| ~ sP2
| ~ leq(pv5,n2) ),
inference(superposition,[status(thm)],[c_69,c_5187]) ).
tcf(c_5243,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_5204,c_49,c_5061,c_5201]) ).
tcf(c_7151,plain,
( ( a_select3(pminus_ds1_filter,sK5,sK6) = a_select3(pminus_ds1_filter,sK6,sK5) )
| ~ leq(n0,sK6)
| ~ leq(n0,sK5)
| ~ leq(sK6,minus(n6,n1))
| ~ leq(sK5,minus(n6,n1)) ),
inference(instantiation,[status(thm)],[c_4817]) ).
fof(f130,definition,
( ~ sP0
| ? [X16] :
( leq(X16,minus(plus(n1,pv57),n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f131,definition,
( ~ sP1
| ? [X14,X15] :
( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14)
& a_select3(pminus_ds1_filter,X14,X15) != a_select3(pminus_ds1_filter,X15,X14) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f132,definition,
( ~ sP2
| ? [X12,X13] :
( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12)
& a_select3(r_ds1_filter,X12,X13) != a_select3(r_ds1_filter,X13,X12) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f133,plain,
( ! [X8] :
( ~ leq(X8,minus(pv57,n1))
| ~ leq(n0,X8)
| ! [X9] :
( ~ leq(X9,minus(n6,n1))
| ~ leq(n0,X9)
| a_select3(id_ds1_filter,X8,X9) = a_select3(id_ds1_filter,X9,X8) ) )
& ! [X6,X7] :
( ~ leq(X7,minus(n6,n1))
| ~ leq(X6,pv57)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(id_ds1_filter,X6,X7) = a_select3(id_ds1_filter,X7,X6) )
& ! [X4,X5] :
( ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
& leq(pv57,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv57)
& leq(n0,pv5)
& ( sP0
| sP1
| sP2
| ? [X10,X11] :
( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10)
& a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ) ),
inference(definition_folding,[],[f105,f132,f131,f130]) ).
fof(f140,plain,
( ~ sP0
| ? [X16] :
( leq(X16,minus(plus(n1,pv57),n1))
& leq(n0,X16)
& ? [X17] :
( leq(X17,minus(n6,n1))
& leq(n0,X17)
& a_select3(id_ds1_filter,X16,X17) != a_select3(id_ds1_filter,X17,X16) ) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f141,plain,
( ~ sP0
| ? [X0] :
( leq(X0,minus(plus(n1,pv57),n1))
& leq(n0,X0)
& ? [X1] :
( leq(X1,minus(n6,n1))
& leq(n0,X1)
& a_select3(id_ds1_filter,X0,X1) != a_select3(id_ds1_filter,X1,X0) ) ) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
( ~ sP0
| ( leq(sK7,minus(plus(n1,pv57),n1))
& leq(n0,sK7)
& leq(sK8,minus(n6,n1))
& leq(n0,sK8)
& a_select3(id_ds1_filter,sK7,sK8) != a_select3(id_ds1_filter,sK8,sK7) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f141]) ).
fof(f158,plain,
( ~ sP0
| leq(sK7,minus(plus(n1,pv57),n1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f159,plain,
( ~ sP0
| leq(n0,sK7) ),
inference(cnf_transformation,[],[f142]) ).
fof(f160,plain,
( ~ sP0
| leq(sK8,minus(n6,n1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f161,plain,
( ~ sP0
| leq(n0,sK8) ),
inference(cnf_transformation,[],[f142]) ).
fof(f162,plain,
( ~ sP0
| a_select3(id_ds1_filter,sK7,sK8) != a_select3(id_ds1_filter,sK8,sK7) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_59,plain,
( ~ sP0
| ( a_select3(id_ds1_filter,sK7,sK8) != a_select3(id_ds1_filter,sK8,sK7) ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_60,plain,
( leq(n0,sK8)
| ~ sP0 ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_61,plain,
( leq(sK8,minus(n6,n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_62,plain,
( leq(n0,sK7)
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_63,plain,
( leq(sK7,minus(plus(n1,pv57),n1))
| ~ sP0 ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_236,plain,
( leq(sK7,minus(plus(n1,pv57),n1))
| ~ sP0 ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
tcf(c_957,plain,
( leq(sK7,pv57)
| ~ sP0 ),
inference(demodulation,[status(thm)],[c_236,c_153]) ).
tcf(c_4729,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,sK8) = a_select3(id_ds1_filter,sK8,X0) )
| ~ sP0
| ~ leq(n0,sK8)
| ~ leq(n0,X0)
| ~ leq(X0,pv57) ),
inference(superposition,[status(thm)],[c_61,c_76]) ).
tcf(c_4976,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,sK8) = a_select3(id_ds1_filter,sK8,X0) )
| ~ sP0
| ~ leq(X0,pv57)
| ~ leq(n0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4729,c_60,c_4729]) ).
tcf(c_4977,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter,X0,sK8) = a_select3(id_ds1_filter,sK8,X0) )
| ~ sP0
| ~ leq(n0,X0)
| ~ leq(X0,pv57) ),
inference(renaming,[status(thm)],[c_4976]) ).
tcf(c_4992,plain,
( ( a_select3(id_ds1_filter,sK7,sK8) = a_select3(id_ds1_filter,sK8,sK7) )
| ~ sP0
| ~ leq(sK7,pv57) ),
inference(superposition,[status(thm)],[c_62,c_4977]) ).
tcf(c_4995,plain,
( ( a_select3(id_ds1_filter,n0,sK8) = a_select3(id_ds1_filter,sK8,n0) )
| ~ sP0
| ~ leq(n0,pv57) ),
inference(superposition,[status(thm)],[c_89,c_4977]) ).
tcf(c_4996,plain,
( ( a_select3(id_ds1_filter,n0,sK8) = a_select3(id_ds1_filter,sK8,n0) )
| ~ sP0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4995,c_70]) ).
tcf(c_5036,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_4996,c_59,c_957,c_4992]) ).
tcf(c_5038,plain,
( sP1
| sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4396,c_5036]) ).
tcf(c_7152,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7151,c_5243,c_5038,c_54,c_57,c_58,c_55,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV112+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 18:32:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.46 % Proving...
% 7.38/1.80 % SZS status Started for theBenchmark.p
% 7.38/1.80 % SZS status Theorem for theBenchmark.p
% 7.38/1.80
% 7.38/1.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.38/1.80
% 7.38/1.80 % ------ iProver source info
% 7.38/1.80
% 7.38/1.80 % git: date: 2026-07-19 20:42:38 +0200
% 7.38/1.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.38/1.80 % git: non_committed_changes: false
% 7.38/1.80
% 7.38/1.80 % ------ Parsing...
% 7.38/1.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.38/1.80
% 7.38/1.80 % ------ Preprocessing... sup_sim: 12 sf_s rm: 1 0s sf_e pe_s pe_e %
% 7.38/1.80
% 7.38/1.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.38/1.80
% 7.38/1.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.38/1.80 % ------ Proving...
% 7.38/1.80 % ------ Problem Properties
% 7.38/1.80
% 7.38/1.80 %
% 7.38/1.80 % clauses 107
% 7.38/1.80 % conjectures 14
% 7.38/1.80 % EPR 61
% 7.38/1.80 % Horn 94
% 7.38/1.80 % unary 61
% 7.38/1.80 % binary 25
% 7.38/1.80 % lits 210
% 7.38/1.80 % lits eq 57
% 7.38/1.80 % fd_pure 0
% 7.38/1.80 % fd_pseudo 0
% 7.38/1.80 % fd_cond 7
% 7.38/1.80 % fd_pseudo_cond 2
% 7.38/1.80 % AC symbols 0
% 7.38/1.80
% 7.38/1.80 % ------ Schedule dynamic 5 is on
% 7.38/1.80
% 7.38/1.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.38/1.80
% 7.38/1.80
% 7.38/1.80 % ------
% 7.38/1.80 % Current options:
% 7.38/1.80 % ------
% 7.38/1.80
% 7.38/1.80
% 7.38/1.80 %
% 7.38/1.80
% 7.38/1.80 % ------ Proving...
% 7.38/1.80 %
% 7.38/1.80
% 7.38/1.80 % SZS status Theorem for theBenchmark.p
% 7.38/1.80
% 7.38/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.54/1.80
% 8.54/1.80
%------------------------------------------------------------------------------