%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 02:08:01 PM UTC 2026
% Result : Theorem 1.49s 1.77s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 90 ( 9 unt; 1 def)
% Number of atoms : 962 ( 0 equ)
% Maximal formula atoms : 49 ( 10 avg)
% Number of connectives : 1543 ( 768 ~; 643 |; 132 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-1 aty)
% Number of variables : 498 ( 0 sgn 429 !; 69 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X29] :
( ~ ! [X32] :
( ~ p1(X32)
| ~ r1(X29,X32) )
| ! [X30] :
( ! [X31] :
( ~ p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X0,X29) )
| ! [X26] :
( ~ ! [X27] :
( ~ ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X0,X26) )
| ! [X22] :
( ! [X25] :
( p1(X25)
| ~ r1(X22,X25) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
| ~ ! [X18] :
( ~ ( ! [X21] :
( p1(X21)
| ~ r1(X18,X21) )
& ~ ! [X19] :
( ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ~ ! [X2] :
( ~ ( ( ! [X16] :
( ~ ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
| ~ r1(X2,X16) )
& ~ ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p3(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) )
| ~ ! [X6] :
( ~ ( ~ ! [X9] :
( ~ ! [X10] :
( ~ ! [X11] :
( ~ p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X6,X9) )
& p2(X6)
& ~ ! [X7] :
( ~ ( ~ p2(X7)
| ! [X8] :
( p3(X8)
| ~ r1(X7,X8) ) )
| ~ r1(X6,X7) ) )
| ~ r1(X2,X6) )
| ~ ! [X3] :
( ~ ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) )
| ~ r1(X0,X2) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X29] :
( ~ ! [X32] :
( ~ p1(X32)
| ~ r1(X29,X32) )
| ! [X30] :
( ! [X31] :
( ~ p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X0,X29) )
| ! [X26] :
( ~ ! [X27] :
( ~ ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X0,X26) )
| ! [X22] :
( ! [X25] :
( p1(X25)
| ~ r1(X22,X25) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
| ~ ! [X18] :
( ~ ( ! [X21] :
( p1(X21)
| ~ r1(X18,X21) )
& ~ ! [X19] :
( ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ~ ! [X2] :
( ~ ( ( ! [X16] :
( ~ ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
| ~ r1(X2,X16) )
& ~ ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p3(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) )
| ~ ! [X6] :
( ~ ( ~ ! [X9] :
( ~ ! [X10] :
( ~ ! [X11] :
( ~ p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X6,X9) )
& p2(X6)
& ~ ! [X7] :
( ~ ( ~ p2(X7)
| ! [X8] :
( p3(X8)
| ~ r1(X7,X8) ) )
| ~ r1(X6,X7) ) )
| ~ r1(X2,X6) )
| ~ ! [X3] :
( ~ ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) )
| ~ r1(X0,X2) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X29] :
( ~ ! [X32] :
( ~ p1(X32)
| ~ r1(X29,X32) )
| ! [X30] :
( ! [X31] :
( ~ p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X0,X29) )
| ! [X26] :
( ~ ! [X27] :
( ~ ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X0,X26) )
| ! [X22] :
( ! [X25] :
( p1(X25)
| ~ r1(X22,X25) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
| ~ ! [X18] :
( ~ ( ! [X21] :
( p1(X21)
| ~ r1(X18,X21) )
& ~ ! [X19] :
( ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ~ ! [X2] :
( ~ ( ( ! [X16] :
( ~ ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
| ~ r1(X2,X16) )
& ~ ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] : ~ r1(X14,X15)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) )
| ~ ! [X6] :
( ~ ( ~ ! [X9] :
( ~ ! [X10] :
( ~ ! [X11] :
( ~ p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X6,X9) )
& p2(X6)
& ~ ! [X7] :
( ~ ( ~ p2(X7)
| ! [X8] : ~ r1(X7,X8) )
| ~ r1(X6,X7) ) )
| ~ r1(X2,X6) )
| ~ ! [X3] :
( ~ ! [X4] :
( ~ p2(X4)
| ! [X5] : ~ r1(X4,X5)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) )
| ~ r1(X0,X2) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X29] :
( ~ ! [X32] :
( ~ p1(X32)
| ~ r1(X29,X32) )
| ! [X30] :
( ! [X31] :
( ~ p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X0,X29) )
| ! [X26] :
( ~ ! [X27] :
( ~ ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X0,X26) )
| ! [X22] :
( ! [X25] :
( p1(X25)
| ~ r1(X22,X25) )
| ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
| ~ ! [X18] :
( ~ ( ! [X21] :
( p1(X21)
| ~ r1(X18,X21) )
& ~ ! [X19] :
( ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) )
| ~ ! [X2] :
( ~ ( ( ! [X16] :
( ~ ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
| ~ r1(X2,X16) )
& ~ ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] : ~ r1(X14,X15)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) )
| ~ ! [X6] :
( ~ ( ~ ! [X9] :
( ~ ! [X10] :
( ~ ! [X11] :
( ~ p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| ~ r1(X6,X9) )
& p2(X6)
& ~ ! [X7] :
( ~ ( ~ p2(X7)
| ! [X8] : ~ r1(X7,X8) )
| ~ r1(X6,X7) ) )
| ~ r1(X2,X6) )
| ~ ! [X3] :
( ~ ! [X4] :
( ~ p2(X4)
| ! [X5] : ~ r1(X4,X5)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) )
| ~ r1(X0,X2) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X29] :
( ? [X32] :
( p1(X32)
& r1(X29,X32) )
| ! [X30] :
( ! [X31] :
( ~ p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X0,X29) )
& ? [X26] :
( ! [X27] :
( ? [X28] :
( ~ p2(X28)
& r1(X27,X28) )
| ~ r1(X26,X27) )
& r1(X0,X26) )
& ? [X22] :
( ? [X25] :
( ~ p1(X25)
& r1(X22,X25) )
& ? [X23] :
( ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X18] :
( ? [X21] :
( ~ p1(X21)
& r1(X18,X21) )
| ! [X19] :
( ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X2] :
( ( ( ? [X16] :
( ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
& r1(X2,X16) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p2(X14)
& ? [X15] : r1(X14,X15)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) )
& ! [X6] :
( ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p2(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| ~ r1(X6,X9) )
| ~ p2(X6)
| ! [X7] :
( ( p2(X7)
& ? [X8] : r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X2,X6) )
& ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(X2,X3) ) )
| ~ r1(X0,X2) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
? [X0] :
( ! [X29] :
( ? [X32] :
( p1(X32)
& r1(X29,X32) )
| ! [X30] :
( ! [X31] :
( ~ p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X0,X29) )
& ? [X26] :
( ! [X27] :
( ? [X28] :
( ~ p2(X28)
& r1(X27,X28) )
| ~ r1(X26,X27) )
& r1(X0,X26) )
& ? [X22] :
( ? [X25] :
( ~ p1(X25)
& r1(X22,X25) )
& ? [X23] :
( ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X18] :
( ? [X21] :
( ~ p1(X21)
& r1(X18,X21) )
| ! [X19] :
( ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X2] :
( ( ( ? [X16] :
( ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
& r1(X2,X16) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p2(X14)
& ? [X15] : r1(X14,X15)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) )
& ! [X6] :
( ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p2(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| ~ r1(X6,X9) )
| ~ p2(X6)
| ! [X7] :
( ( p2(X7)
& ? [X8] : r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X2,X6) )
& ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(X2,X3) ) )
| ~ r1(X0,X2) ) ),
inference(flattening,[],[f8]) ).
fof(f15,plain,
? [X0] :
( ! [X22] :
( ? [X25] :
( p1(X25)
& r1(X22,X25) )
| ! [X23] :
( ! [X24] :
( ~ p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) )
& ? [X19] :
( ! [X20] :
( ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
| ~ r1(X19,X20) )
& r1(X0,X19) )
& ? [X15] :
( ? [X18] :
( ~ p1(X18)
& r1(X15,X18) )
& ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
& r1(X0,X15) )
& ! [X11] :
( ? [X14] :
( ~ p1(X14)
& r1(X11,X14) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X1] :
( ( sP0(X1)
& ! [X5] :
( ! [X8] :
( ? [X9] :
( ! [X10] :
( ~ p2(X10)
| ~ r1(X9,X10) )
& r1(X8,X9) )
| ~ r1(X5,X8) )
| ~ p2(X5)
| ! [X6] :
( ( p2(X6)
& ? [X7] : r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
& ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
| ~ r1(X1,X2) ) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f16,plain,
( ! [X22] :
( ( p1(sK15(X22))
& r1(X22,sK15(X22)) )
| ! [X23] :
( ! [X24] :
( ~ p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(sK4,X22) )
& ! [X20] :
( ( ~ p2(sK14(X20))
& r1(X20,sK14(X20)) )
| ~ r1(sK13,X20) )
& r1(sK4,sK13)
& ~ p1(sK12)
& r1(sK10,sK12)
& ! [X17] :
( p1(X17)
| ~ r1(sK11,X17) )
& r1(sK10,sK11)
& r1(sK4,sK10)
& ! [X11] :
( ( ~ p1(sK9(X11))
& r1(X11,sK9(X11)) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(sK4,X11) )
& ! [X1] :
( ( sP0(X1)
& ! [X5] :
( ! [X8] :
( ( ! [X10] :
( ~ p2(X10)
| ~ r1(sK8(X8),X10) )
& r1(X8,sK8(X8)) )
| ~ r1(X5,X8) )
| ~ p2(X5)
| ! [X6] :
( ( p2(X6)
& r1(X6,sK7(X6)) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) )
& ! [X2] :
( ( p2(sK5(X2))
& r1(sK5(X2),sK6(X2))
& r1(X2,sK5(X2)) )
| ~ r1(X1,X2) ) )
| ~ r1(sK4,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK4),skolemize(X3,sK5(X2)),skolemize(X4,sK6(X2)),skolemize(X7,sK7(X6)),skolemize(X9,sK8(X8)),skolemize(X14,sK9(X11)),skolemize(X15,sK10),skolemize(X16,sK11),skolemize(X18,sK12),skolemize(X19,sK13),skolemize(X21,sK14(X20)),skolemize(X25,sK15(X22))],[f15]) ).
fof(f17,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X20] :
( ~ p2(sK14(X20))
| ~ r1(sK13,X20) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
! [X20] :
( r1(X20,sK14(X20))
| ~ r1(sK13,X20) ),
inference(cnf_transformation,[],[f16]) ).
fof(f28,plain,
r1(sK4,sK13),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X1] :
( sP0(X1)
| ~ r1(sK4,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X10,X1,X8,X6,X5] :
( ~ p2(X10)
| ~ r1(sK8(X8),X10)
| ~ r1(X5,X8)
| ~ p2(X5)
| p2(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(sK4,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
! [X1,X8,X6,X5] :
( r1(X8,sK8(X8))
| ~ r1(X5,X8)
| ~ p2(X5)
| p2(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(sK4,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,plain,
! [X2,X1] :
( p2(sK5(X2))
| ~ r1(X1,X2)
| ~ r1(sK4,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f43,plain,
! [X2,X1] :
( r1(X2,sK5(X2))
| ~ r1(X1,X2)
| ~ r1(sK4,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f17]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( r1(X1,sK5(X1))
| ~ r1(sK4,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(sK5(X1))
| ~ r1(sK4,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X2)
| r1(X3,sK8(X3))
| ~ p2(X1)
| ~ r1(sK4,X0)
| ~ r1(X1,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p2(X4)
| ~ p2(X3)
| ~ p2(X1)
| ~ r1(sK4,X2)
| ~ r1(X3,X4)
| ~ r1(X3,X0)
| ~ r1(X2,X3)
| ~ r1(sK8(X0),X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] :
( sP0(X0)
| ~ r1(sK4,X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_71,negated_conjecture,
r1(sK4,sK13),
inference(cnf_transformation,[],[f28]) ).
tcf(c_72,negated_conjecture,
! [X0: $i] :
( r1(X0,sK14(X0))
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_73,negated_conjecture,
! [X0: $i] :
( ~ p2(sK14(X0))
| ~ r1(sK13,X0) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_76,plain,
r1(sK4,sK4),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_661,plain,
( r1(sK5(sK13),sK14(sK5(sK13)))
| ~ r1(sK13,sK5(sK13)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p2(X2)
| ~ p2(X3)
| ~ p2(sK5(X0))
| ~ r1(sK4,X4)
| ~ r1(X4,sK5(X0))
| ~ r1(sK8(X1),X3)
| ~ r1(sK5(X0),X2)
| ~ r1(sK5(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X1)
| r1(X2,sK8(X2))
| ~ p2(sK5(X0))
| ~ r1(sK4,X3)
| ~ r1(X3,sK5(X0))
| ~ r1(sK5(X0),X2)
| ~ r1(sK5(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_694,plain,
! [X0: $i] :
( r1(sK13,sK5(sK13))
| ~ r1(sK4,X0)
| ~ r1(X0,sK13) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_695,plain,
( r1(sK13,sK5(sK13))
| ~ r1(sK4,sK13)
| ~ r1(sK4,sK4) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_752,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1)
| r1(sK5(X0),sK8(sK5(X0)))
| ~ p2(sK5(X0))
| ~ r1(sK4,X2)
| ~ r1(X2,sK5(X0))
| ~ r1(sK5(X0),X1)
| ~ r1(sK5(X0),sK5(X0)) ),
inference(instantiation,[status(thm)],[c_680]) ).
tcf(c_764,plain,
! [X0: $i,X1: $i] :
( p2(sK5(sK3(X1)))
| ~ r1(sK4,X0)
| ~ r1(X0,sK3(X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p2(X3)
| ~ p2(sK5(X2))
| ~ p2(sK1(X1))
| ~ r1(sK4,X4)
| ~ r1(X4,sK5(X2))
| ~ r1(sK5(X2),X3)
| ~ r1(sK5(X2),X0)
| ~ r1(sK8(X0),sK1(X1)) ),
inference(instantiation,[status(thm)],[c_677]) ).
tcf(c_871,plain,
( p2(sK5(sK13))
| ~ r1(sK4,sK4) ),
inference(superposition,[status(thm)],[c_71,c_58]) ).
tcf(c_915,plain,
! [X0: $i] :
( r1(X0,sK5(X0))
| ~ r1(sK4,X0) ),
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_923,plain,
! [X0: $i] : r1(sK5(X0),sK5(X0)),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_969,plain,
r1(sK5(sK13),sK5(sK13)),
inference(instantiation,[status(thm)],[c_923]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X2)
| ~ p2(sK5(X1))
| ~ r1(sK4,X3)
| ~ p2(sK1(sK8(X0)))
| ~ r1(X3,sK5(X1))
| ~ r1(sK5(X1),X2)
| ~ r1(sK5(X1),X0)
| ~ r1(sK8(X0),sK1(sK8(X0))) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_1189,plain,
! [X0: $i,X1: $i] :
( r1(sK3(X1),sK5(sK3(X1)))
| ~ r1(sK4,X0)
| ~ r1(X0,sK3(X1)) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1448,plain,
! [X0: $i] :
( p2(sK14(sK5(sK13)))
| r1(sK5(sK13),sK8(sK5(sK13)))
| ~ p2(sK5(sK13))
| ~ r1(sK4,X0)
| ~ r1(X0,sK5(sK13))
| ~ r1(sK5(sK13),sK5(sK13))
| ~ r1(sK5(sK13),sK14(sK5(sK13))) ),
inference(instantiation,[status(thm)],[c_752]) ).
tcf(c_1694,plain,
! [X0: $i] :
( r1(sK3(sK13),sK5(sK3(sK13)))
| ~ r1(sK4,X0)
| ~ r1(X0,sK3(sK13)) ),
inference(instantiation,[status(thm)],[c_1189]) ).
tcf(c_1942,plain,
( ~ r1(sK4,sK13)
| ~ p2(sK14(sK5(sK13))) ),
inference(superposition,[status(thm)],[c_915,c_73]) ).
tcf(c_2286,plain,
( p2(sK14(sK5(sK13)))
| r1(sK5(sK13),sK8(sK5(sK13)))
| ~ p2(sK5(sK13))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),sK5(sK13))
| ~ r1(sK5(sK13),sK14(sK5(sK13))) ),
inference(instantiation,[status(thm)],[c_1448]) ).
tcf(c_3093,plain,
( r1(sK3(sK13),sK5(sK3(sK13)))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK3(sK13)) ),
inference(instantiation,[status(thm)],[c_1694]) ).
tcf(c_3151,plain,
( p2(sK5(sK3(sK13)))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK3(sK13)) ),
inference(instantiation,[status(thm)],[c_764]) ).
tcf(c_4992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X2)
| ~ p2(sK5(X1))
| ~ r1(sK4,X3)
| ~ r1(X3,sK5(X1))
| ~ r1(sK5(X1),X2)
| ~ p2(sK1(sK8(sK5(X0))))
| ~ r1(sK5(X1),sK5(X0))
| ~ r1(sK8(sK5(X0)),sK1(sK8(sK5(X0)))) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_6153,plain,
! [X0: $i,X1: $i] :
( p2(sK14(sK5(sK13)))
| ~ p2(sK5(sK13))
| ~ r1(sK4,X1)
| ~ r1(X1,sK5(sK13))
| ~ p2(sK1(sK8(sK5(X0))))
| ~ r1(sK5(sK13),sK5(X0))
| ~ r1(sK5(sK13),sK14(sK5(sK13)))
| ~ r1(sK8(sK5(X0)),sK1(sK8(sK5(X0)))) ),
inference(instantiation,[status(thm)],[c_4992]) ).
tcf(c_10083,plain,
! [X0: $i] :
( p2(sK14(sK5(sK13)))
| ~ p2(sK5(sK13))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK5(sK13))
| ~ p2(sK1(sK8(sK5(X0))))
| ~ r1(sK5(sK13),sK5(X0))
| ~ r1(sK5(sK13),sK14(sK5(sK13)))
| ~ r1(sK8(sK5(X0)),sK1(sK8(sK5(X0)))) ),
inference(instantiation,[status(thm)],[c_6153]) ).
tcf(c_16548,plain,
( p2(sK14(sK5(sK13)))
| ~ p2(sK5(sK13))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK5(sK13))
| ~ p2(sK1(sK8(sK5(sK13))))
| ~ r1(sK5(sK13),sK5(sK13))
| ~ r1(sK5(sK13),sK14(sK5(sK13)))
| ~ r1(sK8(sK5(sK13)),sK1(sK8(sK5(sK13)))) ),
inference(instantiation,[status(thm)],[c_10083]) ).
fof(f10,definition,
! [X2] :
( ~ sP0(X2)
| ? [X16] :
( ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
& r1(X2,X16) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p2(X14)
& ? [X15] : r1(X14,X15)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,plain,
? [X0] :
( ! [X29] :
( ? [X32] :
( p1(X32)
& r1(X29,X32) )
| ! [X30] :
( ! [X31] :
( ~ p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X0,X29) )
& ? [X26] :
( ! [X27] :
( ? [X28] :
( ~ p2(X28)
& r1(X27,X28) )
| ~ r1(X26,X27) )
& r1(X0,X26) )
& ? [X22] :
( ? [X25] :
( ~ p1(X25)
& r1(X22,X25) )
& ? [X23] :
( ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X18] :
( ? [X21] :
( ~ p1(X21)
& r1(X18,X21) )
| ! [X19] :
( ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) )
& ! [X2] :
( ( sP0(X2)
& ! [X6] :
( ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p2(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| ~ r1(X6,X9) )
| ~ p2(X6)
| ! [X7] :
( ( p2(X7)
& ? [X8] : r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X2,X6) )
& ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(X2,X3) ) )
| ~ r1(X0,X2) ) ),
inference(definition_folding,[],[f9,f10]) ).
fof(f12,plain,
! [X2] :
( ~ sP0(X2)
| ? [X16] :
( ! [X17] :
( ~ p2(X17)
| ~ r1(X16,X17) )
& r1(X2,X16) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p2(X14)
& ? [X15] : r1(X14,X15)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X2,X12) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0] :
( ~ sP0(X0)
| ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6) )
& r1(X0,X5) )
| ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ sP0(X0)
| ( ! [X6] :
( ~ p2(X6)
| ~ r1(sK3(X0),X6) )
& r1(X0,sK3(X0)) )
| ! [X1] :
( ! [X2] :
( ( p2(sK1(X2))
& r1(sK1(X2),sK2(X2))
& r1(X2,sK1(X2)) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X3,sK1(X2)),skolemize(X4,sK2(X2)),skolemize(X5,sK3(X0))],[f13]) ).
fof(f18,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0)
| ~ p2(X6)
| ~ r1(sK3(X0),X6)
| p2(sK1(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X0,sK3(X0))
| p2(sK1(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0)
| ~ p2(X6)
| ~ r1(sK3(X0),X6)
| r1(X2,sK1(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X0,sK3(X0))
| r1(X2,sK1(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1(X2,sK1(X2))
| r1(X0,sK3(X0))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1(X3,sK1(X3))
| ~ p2(X1)
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| ~ r1(sK3(X0),X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK1(X2))
| r1(X0,sK3(X0))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(sK1(X3))
| ~ p2(X1)
| ~ sP0(X0)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| ~ r1(sK3(X0),X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(sK1(X3))
| ~ p2(X1)
| ~ r1(sK4,X0)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| ~ r1(sK3(X0),X1) ),
inference(resolution,[status(thm)],[c_63,c_55]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK1(X2))
| r1(X0,sK3(X0))
| ~ r1(sK4,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_63,c_54]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1(X3,sK1(X3))
| ~ p2(X1)
| ~ r1(sK4,X0)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| ~ r1(sK3(X0),X1) ),
inference(resolution,[status(thm)],[c_63,c_51]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1(X2,sK1(X2))
| r1(X0,sK3(X0))
| ~ r1(sK4,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_63,c_50]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(sK1(X3))
| ~ p2(sK5(X1))
| ~ r1(sK4,X0)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| ~ r1(sK3(X0),sK5(X1)) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r1(X3,sK1(X3))
| ~ p2(sK5(X1))
| ~ r1(sK4,X0)
| ~ r1(X2,X3)
| ~ r1(X0,X2)
| ~ r1(sK3(X0),sK5(X1)) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i] :
( r1(sK13,sK3(sK13))
| r1(X1,sK1(X1))
| ~ r1(sK4,sK13)
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK1(X2))
| ~ r1(sK4,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ p2(sK5(sK3(X0)))
| ~ r1(sK3(X0),sK5(sK3(X0))) ),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i] :
( p2(sK1(X1))
| r1(sK13,sK3(sK13))
| ~ r1(sK4,sK13)
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_328]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1(X2,sK1(X2))
| ~ r1(sK4,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ p2(sK5(sK3(X0)))
| ~ r1(sK3(X0),sK5(sK3(X0))) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_721,plain,
! [X0: $i] :
( r1(sK13,sK3(sK13))
| r1(X0,sK1(X0))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),X0) ),
inference(instantiation,[status(thm)],[c_673]) ).
tcf(c_773,plain,
! [X0: $i] :
( p2(sK1(X0))
| r1(sK13,sK3(sK13))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),X0) ),
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_1732,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1(sK8(X2),sK1(sK8(X2)))
| ~ r1(sK4,X0)
| ~ r1(X0,X1)
| ~ p2(sK5(sK3(X0)))
| ~ r1(X1,sK8(X2))
| ~ r1(sK3(X0),sK5(sK3(X0))) ),
inference(instantiation,[status(thm)],[c_706]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(sK1(sK8(X2)))
| ~ r1(sK4,X0)
| ~ r1(X0,X1)
| ~ p2(sK5(sK3(X0)))
| ~ r1(X1,sK8(X2))
| ~ r1(sK3(X0),sK5(sK3(X0))) ),
inference(instantiation,[status(thm)],[c_688]) ).
tcf(c_3544,plain,
( r1(sK13,sK3(sK13))
| p2(sK1(sK8(sK5(sK13))))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),sK8(sK5(sK13))) ),
inference(instantiation,[status(thm)],[c_773]) ).
tcf(c_3545,plain,
( r1(sK13,sK3(sK13))
| r1(sK8(sK5(sK13)),sK1(sK8(sK5(sK13))))
| ~ r1(sK4,sK13)
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),sK8(sK5(sK13))) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_5763,plain,
! [X0: $i,X1: $i] :
( r1(sK8(X1),sK1(sK8(X1)))
| ~ r1(sK4,sK13)
| ~ r1(sK13,X0)
| ~ p2(sK5(sK3(sK13)))
| ~ r1(X0,sK8(X1))
| ~ r1(sK3(sK13),sK5(sK3(sK13))) ),
inference(instantiation,[status(thm)],[c_1732]) ).
tcf(c_5768,plain,
! [X0: $i,X1: $i] :
( p2(sK1(sK8(X1)))
| ~ r1(sK4,sK13)
| ~ r1(sK13,X0)
| ~ p2(sK5(sK3(sK13)))
| ~ r1(X0,sK8(X1))
| ~ r1(sK3(sK13),sK5(sK3(sK13))) ),
inference(instantiation,[status(thm)],[c_1773]) ).
tcf(c_9516,plain,
! [X0: $i] :
( p2(sK1(sK8(X0)))
| ~ r1(sK4,sK13)
| ~ p2(sK5(sK3(sK13)))
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),sK8(X0))
| ~ r1(sK3(sK13),sK5(sK3(sK13))) ),
inference(instantiation,[status(thm)],[c_5768]) ).
tcf(c_9677,plain,
! [X0: $i] :
( r1(sK8(X0),sK1(sK8(X0)))
| ~ r1(sK4,sK13)
| ~ p2(sK5(sK3(sK13)))
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),sK8(X0))
| ~ r1(sK3(sK13),sK5(sK3(sK13))) ),
inference(instantiation,[status(thm)],[c_5763]) ).
tcf(c_15895,plain,
( p2(sK1(sK8(sK5(sK13))))
| ~ r1(sK4,sK13)
| ~ p2(sK5(sK3(sK13)))
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),sK8(sK5(sK13)))
| ~ r1(sK3(sK13),sK5(sK3(sK13))) ),
inference(instantiation,[status(thm)],[c_9516]) ).
tcf(c_16292,plain,
( r1(sK8(sK5(sK13)),sK1(sK8(sK5(sK13))))
| ~ r1(sK4,sK13)
| ~ p2(sK5(sK3(sK13)))
| ~ r1(sK13,sK5(sK13))
| ~ r1(sK5(sK13),sK8(sK5(sK13)))
| ~ r1(sK3(sK13),sK5(sK3(sK13))) ),
inference(instantiation,[status(thm)],[c_9677]) ).
tcf(c_16589,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16548,c_16292,c_15895,c_3544,c_3545,c_3151,c_3093,c_2286,c_1942,c_969,c_871,c_695,c_661,c_76,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 00:08:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.49/1.77 % SZS status Started for theBenchmark.p
% 1.49/1.77 % SZS status Theorem for theBenchmark.p
% 1.49/1.77
% 1.49/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.49/1.77
% 1.49/1.77 % ------ iProver source info
% 1.49/1.77
% 1.49/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 1.49/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.49/1.77 % git: non_committed_changes: false
% 1.49/1.77
% 1.49/1.77 % ------ Parsing...
% 1.49/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.49/1.77
% 1.49/1.77 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.49/1.77
% 1.49/1.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.49/1.77 % ------ Proving...
% 1.49/1.77 % ------ Problem Properties
% 1.49/1.77
% 1.49/1.77 %
% 1.49/1.77 % clauses 26
% 1.49/1.77 % conjectures 19
% 1.49/1.77 % EPR 7
% 1.49/1.77 % Horn 20
% 1.49/1.77 % unary 6
% 1.49/1.77 % binary 3
% 1.49/1.77 % lits 104
% 1.49/1.77 % lits eq 0
% 1.49/1.77 % fd_pure 0
% 1.49/1.77 % fd_pseudo 0
% 1.49/1.77 % fd_cond 0
% 1.49/1.77 % fd_pseudo_cond 0
% 1.49/1.77 % AC symbols 0
% 1.49/1.77
% 1.49/1.77 % ------ Input Options Time Limit: Unbounded
% 1.49/1.77
% 1.49/1.77
% 1.49/1.77 % ------
% 1.49/1.77 % Current options:
% 1.49/1.77 % ------
% 1.49/1.77
% 1.49/1.77
% 1.49/1.77 %
% 1.49/1.77
% 1.49/1.77 % ------ Proving...
% 1.49/1.77 %
% 1.49/1.77
% 1.49/1.77 % SZS status Theorem for theBenchmark.p
% 1.49/1.77
% 1.49/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.49/1.77
% 1.49/1.77
%------------------------------------------------------------------------------