%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV056^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 10:49:27 AM UTC 2026
% Result : Theorem 13.61s 2.55s
% Output : CNFRefutation 13.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 29 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 399 ( 81 ~; 34 |; 16 &; 258 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 89 ( 86 usr; 2 con; 0-3 aty)
% Number of variables : 46 ( 0 ^; 41 !; 5 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_E,type,
sK10_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK11_E,type,
sK11_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK12_E,type,
sK12_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK13_E,type,
sK13_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK14_E,type,
sK14_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK15_E,type,
sK15_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK16_E,type,
sK16_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK17_E,type,
sK17_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK18_E,type,
sK18_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK19_E,type,
sK19_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK20_E,type,
sK20_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK21_E,type,
sK21_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK22_E,type,
sK22_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK23_E,type,
sK23_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK24_E,type,
sK24_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK25_E,type,
sK25_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK26_E,type,
sK26_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK27_E,type,
sK27_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK28_E,type,
sK28_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK29_E,type,
sK29_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK2_Xx,type,
sK2_Xx: ( a > a > $o ) > a ).
thf(tp_sK30_E,type,
sK30_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK31_E,type,
sK31_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK32_E,type,
sK32_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK33_E,type,
sK33_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK34_E,type,
sK34_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK35_E,type,
sK35_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK36_E,type,
sK36_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK37_E,type,
sK37_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK38_E,type,
sK38_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK39_E,type,
sK39_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK3_SY13,type,
sK3_SY13: ( a > a > $o ) > a ).
thf(tp_sK40_E,type,
sK40_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK41_E,type,
sK41_E: ( a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK42_E,type,
sK42_E: ( a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK43_E,type,
sK43_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK44_E,type,
sK44_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK45_E,type,
sK45_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK46_E,type,
sK46_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK47_E,type,
sK47_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK48_E,type,
sK48_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK49_E,type,
sK49_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK4_SY15,type,
sK4_SY15: ( a > a > $o ) > a ).
thf(tp_sK50_E,type,
sK50_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK51_E,type,
sK51_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK52_E,type,
sK52_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK53_E,type,
sK53_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK54_E,type,
sK54_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK55_E,type,
sK55_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK56_E,type,
sK56_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK57_E,type,
sK57_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK58_E,type,
sK58_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK59_E,type,
sK59_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK5_SY8,type,
sK5_SY8: ( a > a > $o ) > a ).
thf(tp_sK60_E,type,
sK60_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK61_E,type,
sK61_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK62_E,type,
sK62_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK63_E,type,
sK63_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK64_E,type,
sK64_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > a > a > $o ) > a ).
thf(tp_sK65_E,type,
sK65_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK66_E,type,
sK66_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK67_E,type,
sK67_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK68_E,type,
sK68_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK69_E,type,
sK69_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK6_SY16,type,
sK6_SY16: ( a > a > $o ) > a ).
thf(tp_sK70_E,type,
sK70_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK71_E,type,
sK71_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK72_E,type,
sK72_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK73_E,type,
sK73_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK74_E,type,
sK74_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK75_E,type,
sK75_E: ( a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK76_E,type,
sK76_E: ( a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK77_E,type,
sK77_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK78_E,type,
sK78_E: ( a > a > a > a > a ) > ( a > a > a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK79_E,type,
sK79_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK7_E,type,
sK7_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK80_E,type,
sK80_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK81_E,type,
sK81_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK82_E,type,
sK82_E: ( a > a > a > a > a ) > ( a > a > a > a > a ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK83_E,type,
sK83_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK84_E,type,
sK84_E: ( a > a > a > a > $o ) > ( a > a > a > a > $o ) > a ).
thf(tp_sK85_E,type,
sK85_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK86_E,type,
sK86_E: ( a > a > a > a > a ) > ( a > a > a > a > $o ) > ( a > a > a > a > a > a > $o ) > a ).
thf(tp_sK8_E,type,
sK8_E: ( a > a > a > a > $o ) > a ).
thf(tp_sK9_E,type,
sK9_E: ( a > a > a > a > $o ) > a ).
thf(1,conjecture,
! [Xr: a > a > $o] :
? [Xp: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ( Xp @ Xx @ Xy ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM275_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o] :
? [Xp: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ( Xp @ Xx @ Xy ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o] :
? [Xp: a > a > $o] :
( ! [Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ( Xp @ Xx @ Xy ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY7: a > a > $o] :
( ! [SY8: a,SY9: a] :
( ( sK1_Xr @ SY8 @ SY9 )
=> ( SY7 @ SY8 @ SY9 ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( SY7 @ Xx @ Xy )
& ( SY7 @ Xy @ Xz ) )
=> ( SY7 @ Xx @ Xz ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY7: a > a > $o] :
( ! [SY8: a,SY9: a] :
( ( sK1_Xr @ SY8 @ SY9 )
=> ( SY7 @ SY8 @ SY9 ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( SY7 @ Xx @ Xy )
& ( SY7 @ Xy @ Xz ) )
=> ( SY7 @ Xx @ Xz ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY7: a > a > $o] :
( ( ( sK1_Xr @ ( sK5_SY8 @ SY7 ) @ ( sK6_SY16 @ SY7 ) )
& ~ ( SY7 @ ( sK5_SY8 @ SY7 ) @ ( sK6_SY16 @ SY7 ) ) )
| ( ( SY7 @ ( sK2_Xx @ SY7 ) @ ( sK3_SY13 @ SY7 ) )
& ( SY7 @ ( sK3_SY13 @ SY7 ) @ ( sK4_SY15 @ SY7 ) )
& ~ ( SY7 @ ( sK2_Xx @ SY7 ) @ ( sK4_SY15 @ SY7 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY7: a > a > $o] :
( ( ( sK1_Xr @ ( sK5_SY8 @ SY7 ) @ ( sK6_SY16 @ SY7 ) )
& ~ ( SY7 @ ( sK5_SY8 @ SY7 ) @ ( sK6_SY16 @ SY7 ) ) )
| ( ( SY7 @ ( sK2_Xx @ SY7 ) @ ( sK3_SY13 @ SY7 ) )
& ( SY7 @ ( sK3_SY13 @ SY7 ) @ ( sK4_SY15 @ SY7 ) )
& ~ ( SY7 @ ( sK2_Xx @ SY7 ) @ ( sK4_SY15 @ SY7 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: a > a > $o] :
( ~ ( ~ ( sK1_Xr @ ( sK5_SY8 @ SX0 ) @ ( sK6_SY16 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK5_SY8 @ SX0 ) @ ( sK6_SY16 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK2_Xx @ SX0 ) @ ( sK3_SY13 @ SX0 ) )
| ~ ( SX0 @ ( sK3_SY13 @ SX0 ) @ ( sK4_SY15 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK2_Xx @ SX0 ) @ ( sK4_SY15 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: a > a > $o] :
( ( ~ ( ~ ( sK1_Xr @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( sK1_Xr @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(15,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(20,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY13 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY13 @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(28,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(32,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY15 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK5_SY8 @ SV1 ) @ ( sK6_SY16 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(44,plain,
( ( $true = $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV1,$thf( ^ [SV9: a] : ^ [SV10: a] : $true ))]]) ).
thf(452,plain,
$false = $true,
inference(sim,[status(thm)],[44]) ).
thf(453,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV056^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n002.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 15:42:57 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.61/2.55
% 13.61/2.55 No.of.Axioms: 0
% 13.61/2.55
% 13.61/2.55 Length.of.Defs: 0
% 13.61/2.55
% 13.61/2.55 Contains.Choice.Funs: false
% 13.61/2.55 .....................
% 13.61/2.55
% 13.61/2.55 ********************************
% 13.61/2.55 * All subproblems solved! *
% 13.61/2.55 ********************************
% 13.61/2.55 % SZS status Theorem for /export/starexec/sandbox/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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:452,loop_count:0,foatp_calls:1,translation:fof_full)
% 13.61/2.55
% 13.61/2.55 %**** Beginning of derivation protocol ****
% 13.61/2.55 % SZS output start CNFRefutation
% See solution above
% 13.61/2.55
% 13.61/2.55 %**** End of derivation protocol ****
% 13.61/2.55 %**** no. of clauses in derivation: 21 ****
% 13.61/2.55 %**** clause counter: 452 ****
% 13.61/2.55
% 13.61/2.55 % SZS status Theorem for /export/starexec/sandbox/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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:452,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------