%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Wed Oct 7 11:07:12 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 1
% Syntax : Number of formulae : 59 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 469 ( 73 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 981 ( 301 ~; 202 |; 42 &; 416 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 113 ( 0 ^; 88 !; 25 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c,type,
c: $i > $o ).
thf(tp_e,type,
e: $i > $o ).
thf(tp_f,type,
f: $i > $i ).
thf(tp_g,type,
g: $i > $o ).
thf(tp_p,type,
p: $i > $o ).
thf(tp_s,type,
s: $i > $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(1,conjecture,
! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p @ Y ) ) )
=> ( ( ( p @ X3 )
& ( g @ X3 ) )
| ( ( p @ X4 )
& ( c @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
( ( ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p @ Y ) ) )
=> ( ( ( p @ X3 )
& ( g @ X3 ) )
| ( ( p @ X4 )
& ( c @ X4 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i] :
? [X: $i,X2: $i,X3: $i,X4: $i,Y: $i] :
( ( ( p @ A )
& ( e @ A )
& ( ( e @ X )
=> ( ( g @ X )
| ( s @ X @ ( f @ X ) ) ) )
& ( ( e @ X2 )
=> ( ( g @ X2 )
| ( c @ ( f @ X2 ) ) ) )
& ( ( s @ A @ Y )
=> ( p @ Y ) ) )
=> ( ( ( p @ X3 )
& ( g @ X3 ) )
| ( ( p @ X4 )
& ( c @ X4 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY6: $i,SY7: $i,SY8: $i,SY9: $i,SY10: $i] :
( ( ( p @ sK1_A )
& ( e @ sK1_A )
& ( ( e @ SY6 )
=> ( ( g @ SY6 )
| ( s @ SY6 @ ( f @ SY6 ) ) ) )
& ( ( e @ SY7 )
=> ( ( g @ SY7 )
| ( c @ ( f @ SY7 ) ) ) )
& ( ( s @ sK1_A @ SY10 )
=> ( p @ SY10 ) ) )
=> ( ( ( p @ SY8 )
& ( g @ SY8 ) )
| ( ( p @ SY9 )
& ( c @ SY9 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY6: $i,SY7: $i,SY8: $i,SY9: $i,SY10: $i] :
( ( ( p @ sK1_A )
& ( e @ sK1_A )
& ( ( e @ SY6 )
=> ( ( g @ SY6 )
| ( s @ SY6 @ ( f @ SY6 ) ) ) )
& ( ( e @ SY7 )
=> ( ( g @ SY7 )
| ( c @ ( f @ SY7 ) ) ) )
& ( ( s @ sK1_A @ SY10 )
=> ( p @ SY10 ) ) )
=> ( ( ( p @ SY8 )
& ( g @ SY8 ) )
| ( ( p @ SY9 )
& ( c @ SY9 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY6: $i,SY7: $i,SY8: $i] :
( ( e @ sK1_A )
& ( p @ sK1_A )
& ( ~ ( e @ SY6 )
| ( g @ SY6 )
| ( s @ SY6 @ ( f @ SY6 ) ) )
& ( ~ ( e @ SY7 )
| ( c @ ( f @ SY7 ) )
| ( g @ SY7 ) )
& ! [SY10: $i] :
( ~ ( s @ sK1_A @ SY10 )
| ( p @ SY10 ) )
& ( ~ ( g @ SY8 )
| ~ ( p @ SY8 ) )
& ! [SY9: $i] :
( ~ ( c @ SY9 )
| ~ ( p @ SY9 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY6: $i,SY7: $i,SY8: $i] :
( ( e @ sK1_A )
& ( p @ sK1_A )
& ( ~ ( e @ SY6 )
| ( g @ SY6 )
| ( s @ SY6 @ ( f @ SY6 ) ) )
& ( ~ ( e @ SY7 )
| ( c @ ( f @ SY7 ) )
| ( g @ SY7 ) )
& ! [SY10: $i] :
( ~ ( s @ sK1_A @ SY10 )
| ( p @ SY10 ) )
& ( ~ ( g @ SY8 )
| ~ ( p @ SY8 ) )
& ! [SY9: $i] :
( ~ ( c @ SY9 )
| ~ ( p @ SY9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SX0 )
| ( g @ SX0 )
| ( s @ SX0 @ ( f @ SX0 ) ) ) )
| ~ ( ~ ( e @ SX1 )
| ( c @ ( f @ SX1 ) )
| ( g @ SX1 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SX2 )
| ~ ( p @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: $i] :
( ( ! [SY11: $i,SY12: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SY11 )
| ( c @ ( f @ SY11 ) )
| ( g @ SY11 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SY12 )
| ~ ( p @ SY12 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY15: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SY15 )
| ~ ( p @ SY15 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SV3 )
| ~ ( p @ SV3 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
| ~ ~ ( ~ ( ~ ( g @ SV3 )
| ~ ( p @ SV3 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( ~ ( g @ SV3 )
| ~ ( p @ SV3 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
! [SV3: $i] :
( ( ~ ( ~ ( ~ ( g @ SV3 )
| ~ ( p @ SV3 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
| ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV3: $i] :
( ( ~ ( ~ ( g @ SV3 )
| ~ ( p @ SV3 ) )
| ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV3: $i] :
( ( ~ ( ~ ( g @ SV3 )
| ~ ( p @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ! [SX3: $i] :
( ~ ( s @ sK1_A @ SX3 )
| ( p @ SX3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV3: $i] :
( ( ~ ( g @ SV3 )
| ~ ( p @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ! [SX3: $i] :
( ~ ( c @ SX3 )
| ~ ( p @ SX3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
| ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV4: $i] :
( ( ~ ( s @ sK1_A @ SV4 )
| ( p @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV3: $i] :
( ( ( ~ ( g @ SV3 ) )
= $true )
| ( ( ~ ( p @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV5: $i] :
( ( ~ ( c @ SV5 )
| ~ ( p @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i] :
( ( ~ ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV4: $i] :
( ( ( ~ ( s @ sK1_A @ SV4 ) )
= $true )
| ( ( p @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV3: $i] :
( ( ( g @ SV3 )
= $false )
| ( ( ~ ( p @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(35,plain,
! [SV5: $i] :
( ( ( ~ ( c @ SV5 ) )
= $true )
| ( ( ~ ( p @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,plain,
! [SV2: $i] :
( ( ~ ( e @ SV2 )
| ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV4: $i] :
( ( ( s @ sK1_A @ SV4 )
= $false )
| ( ( p @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV3: $i] :
( ( ( p @ SV3 )
= $false )
| ( ( g @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV5: $i] :
( ( ( c @ SV5 )
= $false )
| ( ( ~ ( p @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
| ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV2: $i] :
( ( ( ~ ( e @ SV2 ) )
= $true )
| ( ( ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV5: $i] :
( ( ( p @ SV5 )
= $false )
| ( ( c @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
( ( ~ ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV1: $i] :
( ( ~ ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( e @ SV2 )
= $false )
| ( ( ( c @ ( f @ SV2 ) )
| ( g @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
( ( ~ ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV1: $i] :
( ( ~ ( e @ SV1 )
| ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( c @ ( f @ SV2 ) )
= $true )
| ( ( g @ SV2 )
= $true )
| ( ( e @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(50,plain,
( ( ~ ( e @ sK1_A )
| ~ ( p @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV1: $i] :
( ( ( ~ ( e @ SV1 ) )
= $true )
| ( ( ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(52,plain,
( ( ~ ( e @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(53,plain,
( ( ~ ( p @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV1: $i] :
( ( ( e @ SV1 )
= $false )
| ( ( ( g @ SV1 )
| ( s @ SV1 @ ( f @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
( ( e @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(56,plain,
( ( p @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(57,plain,
! [SV1: $i] :
( ( ( g @ SV1 )
= $true )
| ( ( s @ SV1 @ ( f @ SV1 ) )
= $true )
| ( ( e @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(58,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,57,56,55,49,43,39]) ).
thf(59,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n007.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Oct 6 17:28:00 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26
% 0.08/0.26 No.of.Axioms: 0
% 0.08/0.26
% 0.08/0.26 Length.of.Defs: 0
% 0.08/0.26
% 0.08/0.26 Contains.Choice.Funs: false
% 0.08/0.26 ..
% 0.08/0.26
% 0.08/0.26 ********************************
% 0.08/0.26 * All subproblems solved! *
% 0.08/0.26 ********************************
% 0.08/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:58,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.26
% 0.08/0.26 %**** Beginning of derivation protocol ****
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
% 0.08/0.26
% 0.08/0.26 %**** End of derivation protocol ****
% 0.08/0.26 %**** no. of clauses in derivation: 59 ****
% 0.08/0.26 %**** clause counter: 58 ****
% 0.08/0.26
% 0.08/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:58,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------