%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUM756^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n011.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 10:35:08 AM UTC 2026
% Result : Theorem 0.10s 0.24s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 80 ( 52 unt; 0 typ; 0 def)
% Number of atoms : 365 ( 96 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 643 ( 134 ~; 83 |; 4 &; 402 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 159 ( 0 ^; 159 !; 0 ?; 159 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_frac,type,
frac: $tType ).
thf(tp_eq,type,
eq: frac > frac > $o ).
thf(tp_lessf,type,
lessf: frac > frac > $o ).
thf(tp_moref,type,
moref: frac > frac > $o ).
thf(tp_pf,type,
pf: frac > frac > frac ).
thf(tp_x,type,
x: frac ).
thf(tp_y,type,
y: frac ).
thf(tp_z,type,
z: frac ).
thf(1,axiom,
! [Xx: frac,Xy: frac,Xz: frac] :
( ( moref @ Xx @ Xy )
=> ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz62a) ).
thf(2,axiom,
! [Xx: frac,Xy: frac] :
( ~ ( eq @ Xx @ Xy )
=> ( ~ ( moref @ Xx @ Xy )
=> ( lessf @ Xx @ Xy ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz41a) ).
thf(3,axiom,
! [Xx: frac,Xy: frac,Xz: frac] :
( ( lessf @ Xx @ Xy )
=> ( lessf @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz62c) ).
thf(4,axiom,
! [Xx: frac,Xy: frac] :
~ ( ( ( eq @ Xx @ Xy )
=> ~ ( moref @ Xx @ Xy ) )
=> ~ ~ ( ( ( moref @ Xx @ Xy )
=> ~ ( lessf @ Xx @ Xy ) )
=> ~ ( ( lessf @ Xx @ Xy )
=> ~ ( eq @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz41b) ).
thf(5,axiom,
! [Xa: $o] :
( ~ ~ Xa
=> Xa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',et) ).
thf(6,axiom,
eq @ ( pf @ x @ z ) @ ( pf @ y @ z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e) ).
thf(7,conjecture,
eq @ x @ y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz63b) ).
thf(8,negated_conjecture,
( ( eq @ x @ y )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( eq @ x @ y )
= $false ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [Xx: frac,Xy: frac,Xz: frac] :
( ( moref @ Xx @ Xy )
=> ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( ! [Xx: frac,Xy: frac] :
( ~ ( eq @ Xx @ Xy )
=> ( ~ ( moref @ Xx @ Xy )
=> ( lessf @ Xx @ Xy ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( ! [Xx: frac,Xy: frac,Xz: frac] :
( ( lessf @ Xx @ Xy )
=> ( lessf @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [Xx: frac,Xy: frac] :
~ ( ( ( eq @ Xx @ Xy )
=> ~ ( moref @ Xx @ Xy ) )
=> ~ ~ ( ( ( moref @ Xx @ Xy )
=> ~ ( lessf @ Xx @ Xy ) )
=> ~ ( ( lessf @ Xx @ Xy )
=> ~ ( eq @ Xx @ Xy ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( ! [Xa: $o] :
( ~ ~ Xa
=> Xa ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( eq @ ( pf @ x @ z ) @ ( pf @ y @ z ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ~ ( eq @ x @ y ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [Xx: frac,Xy: frac] :
( ~ ( moref @ Xx @ Xy )
| ! [Xz: frac] : ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(18,plain,
( ( ! [Xx: frac,Xy: frac] :
( ( eq @ Xx @ Xy )
| ( moref @ Xx @ Xy )
| ( lessf @ Xx @ Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(19,plain,
( ( ! [Xx: frac,Xy: frac] :
( ~ ( lessf @ Xx @ Xy )
| ! [Xz: frac] : ( lessf @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(20,plain,
( ( ! [Xx: frac,Xy: frac] :
( ~ ( eq @ Xx @ Xy )
| ~ ( moref @ Xx @ Xy ) )
& ! [Xx: frac,Xy: frac] :
( ~ ( moref @ Xx @ Xy )
| ~ ( lessf @ Xx @ Xy ) )
& ! [Xx: frac,Xy: frac] :
( ~ ( lessf @ Xx @ Xy )
| ~ ( eq @ Xx @ Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(21,plain,
( ( ! [Xa: $o] :
( ~ Xa
| Xa ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(22,plain,
( ( eq @ ( pf @ x @ z ) @ ( pf @ y @ z ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(23,plain,
( ( ! [Xa: $o] :
( ~ Xa
| Xa ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(24,plain,
( ( ! [Xx: frac,Xy: frac] :
( ~ ( eq @ Xx @ Xy )
| ~ ( moref @ Xx @ Xy ) )
& ! [Xx: frac,Xy: frac] :
( ~ ( moref @ Xx @ Xy )
| ~ ( lessf @ Xx @ Xy ) )
& ! [Xx: frac,Xy: frac] :
( ~ ( lessf @ Xx @ Xy )
| ~ ( eq @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(25,plain,
( ( ! [Xx: frac,Xy: frac] :
( ~ ( lessf @ Xx @ Xy )
| ! [Xz: frac] : ( lessf @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(26,plain,
( ( ! [Xx: frac,Xy: frac] :
( ( eq @ Xx @ Xy )
| ( moref @ Xx @ Xy )
| ( lessf @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(27,plain,
( ( ! [Xx: frac,Xy: frac] :
( ~ ( moref @ Xx @ Xy )
| ! [Xz: frac] : ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(28,plain,
( ( ~ ( eq @ x @ y ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(29,plain,
( ( ~ ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( moref @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( moref @ SX0 @ SX1 )
| ~ ( lessf @ SX0 @ SX1 ) )
| ~ ! [SX0: frac,SX1: frac] :
( ~ ( lessf @ SX0 @ SX1 )
| ~ ( eq @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(30,plain,
! [SV1: $o] :
( ( ~ SV1
| SV1 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[23]) ).
thf(31,plain,
( ( ~ $true
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[23]) ).
thf(32,plain,
( ( ~ $false
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[23]) ).
thf(33,plain,
! [SV2: frac] :
( ( ! [SY11: frac] :
( ~ ( lessf @ SV2 @ SY11 )
| ! [SY12: frac] : ( lessf @ ( pf @ SV2 @ SY12 ) @ ( pf @ SY11 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(34,plain,
! [SV3: frac] :
( ( ! [SY13: frac] :
( ( eq @ SV3 @ SY13 )
| ( moref @ SV3 @ SY13 )
| ( lessf @ SV3 @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(35,plain,
! [SV4: frac] :
( ( ! [SY14: frac] :
( ~ ( moref @ SV4 @ SY14 )
| ! [SY15: frac] : ( moref @ ( pf @ SV4 @ SY15 ) @ ( pf @ SY14 @ SY15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(36,plain,
( ( eq @ x @ y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(37,plain,
( ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( moref @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( moref @ SX0 @ SX1 )
| ~ ( lessf @ SX0 @ SX1 ) )
| ~ ! [SX0: frac,SX1: frac] :
( ~ ( lessf @ SX0 @ SX1 )
| ~ ( eq @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $true )
| ( SV1 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(39,plain,
( ( ( ~ $true ) = $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(40,plain,
( ( ( ~ $false ) = $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV5: frac,SV2: frac] :
( ( ~ ( lessf @ SV2 @ SV5 )
| ! [SY16: frac] : ( lessf @ ( pf @ SV2 @ SY16 ) @ ( pf @ SV5 @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(42,plain,
! [SV6: frac,SV3: frac] :
( ( ( eq @ SV3 @ SV6 )
| ( moref @ SV3 @ SV6 )
| ( lessf @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV7: frac,SV4: frac] :
( ( ~ ( moref @ SV4 @ SV7 )
| ! [SY17: frac] : ( moref @ ( pf @ SV4 @ SY17 ) @ ( pf @ SV7 @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(44,plain,
( ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( moref @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(45,plain,
( ( ~ ~ ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( moref @ SX0 @ SX1 )
| ~ ( lessf @ SX0 @ SX1 ) )
| ~ ! [SX0: frac,SX1: frac] :
( ~ ( lessf @ SX0 @ SX1 )
| ~ ( eq @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(46,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(47,plain,
( ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(48,plain,
( ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV5: frac,SV2: frac] :
( ( ( ~ ( lessf @ SV2 @ SV5 ) )
= $true )
| ( ( ! [SY16: frac] : ( lessf @ ( pf @ SV2 @ SY16 ) @ ( pf @ SV5 @ SY16 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV6: frac,SV3: frac] :
( ( ( eq @ SV3 @ SV6 )
= $true )
| ( ( ( moref @ SV3 @ SV6 )
| ( lessf @ SV3 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV7: frac,SV4: frac] :
( ( ( ~ ( moref @ SV4 @ SV7 ) )
= $true )
| ( ( ! [SY17: frac] : ( moref @ ( pf @ SV4 @ SY17 ) @ ( pf @ SV7 @ SY17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(52,plain,
( ( ! [SX0: frac,SX1: frac] :
( ~ ( eq @ SX0 @ SX1 )
| ~ ( moref @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(53,plain,
( ( ~ ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( moref @ SX0 @ SX1 )
| ~ ( lessf @ SX0 @ SX1 ) )
| ~ ! [SX0: frac,SX1: frac] :
( ~ ( lessf @ SX0 @ SX1 )
| ~ ( eq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(54,plain,
! [SV5: frac,SV2: frac] :
( ( ( lessf @ SV2 @ SV5 )
= $false )
| ( ( ! [SY16: frac] : ( lessf @ ( pf @ SV2 @ SY16 ) @ ( pf @ SV5 @ SY16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV6: frac,SV3: frac] :
( ( ( moref @ SV3 @ SV6 )
= $true )
| ( ( lessf @ SV3 @ SV6 )
= $true )
| ( ( eq @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV7: frac,SV4: frac] :
( ( ( moref @ SV4 @ SV7 )
= $false )
| ( ( ! [SY17: frac] : ( moref @ ( pf @ SV4 @ SY17 ) @ ( pf @ SV7 @ SY17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV8: frac] :
( ( ! [SY18: frac] :
( ~ ( eq @ SV8 @ SY18 )
| ~ ( moref @ SV8 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(58,plain,
( ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( moref @ SX0 @ SX1 )
| ~ ( lessf @ SX0 @ SX1 ) )
| ~ ! [SX0: frac,SX1: frac] :
( ~ ( lessf @ SX0 @ SX1 )
| ~ ( eq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV5: frac,SV9: frac,SV2: frac] :
( ( ( lessf @ ( pf @ SV2 @ SV9 ) @ ( pf @ SV5 @ SV9 ) )
= $true )
| ( ( lessf @ SV2 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV7: frac,SV10: frac,SV4: frac] :
( ( ( moref @ ( pf @ SV4 @ SV10 ) @ ( pf @ SV7 @ SV10 ) )
= $true )
| ( ( moref @ SV4 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(61,plain,
! [SV11: frac,SV8: frac] :
( ( ~ ( eq @ SV8 @ SV11 )
| ~ ( moref @ SV8 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(62,plain,
( ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( moref @ SX0 @ SX1 )
| ~ ( lessf @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(63,plain,
( ( ~ ! [SX0: frac,SX1: frac] :
( ~ ( lessf @ SX0 @ SX1 )
| ~ ( eq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(64,plain,
! [SV11: frac,SV8: frac] :
( ( ( ~ ( eq @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ( moref @ SV8 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(65,plain,
( ( ! [SX0: frac,SX1: frac] :
( ~ ( moref @ SX0 @ SX1 )
| ~ ( lessf @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(66,plain,
( ( ! [SX0: frac,SX1: frac] :
( ~ ( lessf @ SX0 @ SX1 )
| ~ ( eq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV11: frac,SV8: frac] :
( ( ( eq @ SV8 @ SV11 )
= $false )
| ( ( ~ ( moref @ SV8 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV12: frac] :
( ( ! [SY19: frac] :
( ~ ( moref @ SV12 @ SY19 )
| ~ ( lessf @ SV12 @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(69,plain,
! [SV13: frac] :
( ( ! [SY20: frac] :
( ~ ( lessf @ SV13 @ SY20 )
| ~ ( eq @ SV13 @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(70,plain,
! [SV11: frac,SV8: frac] :
( ( ( moref @ SV8 @ SV11 )
= $false )
| ( ( eq @ SV8 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
! [SV14: frac,SV12: frac] :
( ( ~ ( moref @ SV12 @ SV14 )
| ~ ( lessf @ SV12 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(72,plain,
! [SV15: frac,SV13: frac] :
( ( ~ ( lessf @ SV13 @ SV15 )
| ~ ( eq @ SV13 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV14: frac,SV12: frac] :
( ( ( ~ ( moref @ SV12 @ SV14 ) )
= $true )
| ( ( ~ ( lessf @ SV12 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV15: frac,SV13: frac] :
( ( ( ~ ( lessf @ SV13 @ SV15 ) )
= $true )
| ( ( ~ ( eq @ SV13 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV14: frac,SV12: frac] :
( ( ( moref @ SV12 @ SV14 )
= $false )
| ( ( ~ ( lessf @ SV12 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV15: frac,SV13: frac] :
( ( ( lessf @ SV13 @ SV15 )
= $false )
| ( ( ~ ( eq @ SV13 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV14: frac,SV12: frac] :
( ( ( lessf @ SV12 @ SV14 )
= $false )
| ( ( moref @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV15: frac,SV13: frac] :
( ( ( eq @ SV13 @ SV15 )
= $false )
| ( ( lessf @ SV13 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(79,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,78,77,70,60,59,55,48,47,46,36]) ).
thf(80,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM756^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n011.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 13:37:51 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.24
% 0.10/0.24 No.of.Axioms: 6
% 0.10/0.24
% 0.10/0.24 Length.of.Defs: 0
% 0.10/0.24
% 0.10/0.24 Contains.Choice.Funs: false
% 0.10/0.24 ..
% 0.10/0.24
% 0.10/0.24 ********************************
% 0.10/0.24 * All subproblems solved! *
% 0.10/0.24 ********************************
% 0.10/0.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:79,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.24
% 0.10/0.24 %**** Beginning of derivation protocol ****
% 0.10/0.24 % SZS output start CNFRefutation
% See solution above
% 0.10/0.24
% 0.10/0.24 %**** End of derivation protocol ****
% 0.10/0.24 %**** no. of clauses in derivation: 80 ****
% 0.10/0.24 %**** clause counter: 79 ****
% 0.10/0.24
% 0.10/0.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:79,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------