%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV185^5 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 10:49:43 AM UTC 2026
% Result : Theorem 0.09s 0.18s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 53 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 311 ( 91 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 668 ( 136 ~; 105 |; 21 &; 355 @)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 101 ( 101 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 150 ( 0 ^; 150 !; 0 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_P,type,
sK1_P: ( b > $o ) > b > $o ).
thf(tp_sK2_SY11,type,
sK2_SY11: ( b > $o ) > $o ).
thf(tp_sK3_SY25,type,
sK3_SY25: b > $o ).
thf(tp_sK4_SY30,type,
sK4_SY30: b ).
thf(tp_sK5_SY36,type,
sK5_SY36: b > $o ).
thf(tp_sK6_Xx0,type,
sK6_Xx0: b > ( b > $o ) > ( b > $o ) > b ).
thf(1,conjecture,
! [P: ( b > $o ) > b > $o,S: ( b > $o ) > $o] :
( ! [Xx: b > $o] :
( ( S @ Xx )
=> ! [X: b > $o,Xy: b] :
( ( ! [Xx0: b] :
( ( X @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( P @ X @ Xy ) )
=> ( Xx @ Xy ) ) )
=> ! [X: b > $o,Xy: b] :
( ( ! [Xx: b] :
( ( X @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) )
& ( P @ X @ Xy ) )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM564_pme) ).
thf(2,negated_conjecture,
( ( ! [P: ( b > $o ) > b > $o,S: ( b > $o ) > $o] :
( ! [Xx: b > $o] :
( ( S @ Xx )
=> ! [X: b > $o,Xy: b] :
( ( ! [Xx0: b] :
( ( X @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( P @ X @ Xy ) )
=> ( Xx @ Xy ) ) )
=> ! [X: b > $o,Xy: b] :
( ( ! [Xx: b] :
( ( X @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) )
& ( P @ X @ Xy ) )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xy ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [P: ( b > $o ) > b > $o,S: ( b > $o ) > $o] :
( ! [Xx: b > $o] :
( ( S @ Xx )
=> ! [X: b > $o,Xy: b] :
( ( ! [Xx0: b] :
( ( X @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( P @ X @ Xy ) )
=> ( Xx @ Xy ) ) )
=> ! [X: b > $o,Xy: b] :
( ( ! [Xx: b] :
( ( X @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) )
& ( P @ X @ Xy ) )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xy ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY11: ( b > $o ) > $o] :
( ! [SY12: b > $o] :
( ( SY11 @ SY12 )
=> ! [SY13: b > $o,SY14: b] :
( ( ! [Xx0: b] :
( ( SY13 @ Xx0 )
=> ( SY12 @ Xx0 ) )
& ( sK1_P @ SY13 @ SY14 ) )
=> ( SY12 @ SY14 ) ) )
=> ! [SY16: b > $o,SY17: b] :
( ( ! [Xx: b] :
( ( SY16 @ Xx )
=> ! [S0: b > $o] :
( ( SY11 @ S0 )
=> ( S0 @ Xx ) ) )
& ( sK1_P @ SY16 @ SY17 ) )
=> ! [S0: b > $o] :
( ( SY11 @ S0 )
=> ( S0 @ SY17 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY21: b > $o] :
( ( sK2_SY11 @ SY21 )
=> ! [SY13: b > $o,SY14: b] :
( ( ! [Xx0: b] :
( ( SY13 @ Xx0 )
=> ( SY21 @ Xx0 ) )
& ( sK1_P @ SY13 @ SY14 ) )
=> ( SY21 @ SY14 ) ) )
=> ! [SY25: b > $o,SY26: b] :
( ( ! [SY27: b] :
( ( SY25 @ SY27 )
=> ! [SY28: b > $o] :
( ( sK2_SY11 @ SY28 )
=> ( SY28 @ SY27 ) ) )
& ( sK1_P @ SY25 @ SY26 ) )
=> ! [SY29: b > $o] :
( ( sK2_SY11 @ SY29 )
=> ( SY29 @ SY26 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY21: b > $o] :
( ( sK2_SY11 @ SY21 )
=> ! [SY13: b > $o,SY14: b] :
( ( ! [Xx0: b] :
( ( SY13 @ Xx0 )
=> ( SY21 @ Xx0 ) )
& ( sK1_P @ SY13 @ SY14 ) )
=> ( SY21 @ SY14 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY25: b > $o,SY26: b] :
( ( ! [SY27: b] :
( ( SY25 @ SY27 )
=> ! [SY28: b > $o] :
( ( sK2_SY11 @ SY28 )
=> ( SY28 @ SY27 ) ) )
& ( sK1_P @ SY25 @ SY26 ) )
=> ! [SY29: b > $o] :
( ( sK2_SY11 @ SY29 )
=> ( SY29 @ SY26 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ! [SY25: b > $o,SY26: b] :
( ( ! [SY27: b] :
( ( SY25 @ SY27 )
=> ! [SY28: b > $o] :
( ( sK2_SY11 @ SY28 )
=> ( SY28 @ SY27 ) ) )
& ( sK1_P @ SY25 @ SY26 ) )
=> ! [SY29: b > $o] :
( ( sK2_SY11 @ SY29 )
=> ( SY29 @ SY26 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY31: b] :
( ~ ( sK3_SY25 @ SY31 )
| ! [SY28: b > $o] :
( ~ ( sK2_SY11 @ SY28 )
| ( SY28 @ SY31 ) ) )
& ( sK1_P @ sK3_SY25 @ sK4_SY30 )
& ( sK2_SY11 @ sK5_SY36 )
& ~ ( sK5_SY36 @ sK4_SY30 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY21: b > $o] :
( ~ ( sK2_SY11 @ SY21 )
| ! [SY13: b > $o,SY14: b] :
( ( ( SY13 @ ( sK6_Xx0 @ SY14 @ SY13 @ SY21 ) )
& ~ ( SY21 @ ( sK6_Xx0 @ SY14 @ SY13 @ SY21 ) ) )
| ~ ( sK1_P @ SY13 @ SY14 )
| ( SY21 @ SY14 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [SY21: b > $o] :
( ~ ( sK2_SY11 @ SY21 )
| ! [SY13: b > $o,SY14: b] :
( ( ( SY13 @ ( sK6_Xx0 @ SY14 @ SY13 @ SY21 ) )
& ~ ( SY21 @ ( sK6_Xx0 @ SY14 @ SY13 @ SY21 ) ) )
| ~ ( sK1_P @ SY13 @ SY14 )
| ( SY21 @ SY14 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY31: b] :
( ~ ( sK3_SY25 @ SY31 )
| ! [SY28: b > $o] :
( ~ ( sK2_SY11 @ SY28 )
| ( SY28 @ SY31 ) ) )
& ( sK1_P @ sK3_SY25 @ sK4_SY30 )
& ( sK2_SY11 @ sK5_SY36 )
& ~ ( sK5_SY36 @ sK4_SY30 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY25 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY11 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY25 @ sK4_SY30 ) )
| ~ ~ ( ~ ( sK2_SY11 @ sK5_SY36 )
| ~ ~ ( sK5_SY36 @ sK4_SY30 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SX0: b > $o] :
( ~ ( sK2_SY11 @ SX0 )
| ! [SX1: b > $o,SX2: b] :
( ~ ( ~ ( SX1 @ ( sK6_Xx0 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK6_Xx0 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( sK1_P @ SX1 @ SX2 )
| ( SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY25 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY11 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY25 @ sK4_SY30 ) )
| ~ ~ ( ~ ( sK2_SY11 @ sK5_SY36 )
| ~ ~ ( sK5_SY36 @ sK4_SY30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: b > $o] :
( ( ~ ( sK2_SY11 @ SV1 )
| ! [SY37: b > $o,SY38: b] :
( ~ ( ~ ( SY37 @ ( sK6_Xx0 @ SY38 @ SY37 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SY38 @ SY37 @ SV1 ) ) )
| ~ ( sK1_P @ SY37 @ SY38 )
| ( SV1 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY25 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY11 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY25 @ sK4_SY30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( sK2_SY11 @ sK5_SY36 )
| ~ ~ ( sK5_SY36 @ sK4_SY30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: b > $o] :
( ( ( ~ ( sK2_SY11 @ SV1 ) )
= $true )
| ( ( ! [SY37: b > $o,SY38: b] :
( ~ ( ~ ( SY37 @ ( sK6_Xx0 @ SY38 @ SY37 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SY38 @ SY37 @ SV1 ) ) )
| ~ ( sK1_P @ SY37 @ SY38 )
| ( SV1 @ SY38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY25 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY11 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY25 @ sK4_SY30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ~ ( sK2_SY11 @ sK5_SY36 )
| ~ ~ ( sK5_SY36 @ sK4_SY30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: b > $o] :
( ( ( sK2_SY11 @ SV1 )
= $false )
| ( ( ! [SY37: b > $o,SY38: b] :
( ~ ( ~ ( SY37 @ ( sK6_Xx0 @ SY38 @ SY37 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SY38 @ SY37 @ SV1 ) ) )
| ~ ( sK1_P @ SY37 @ SY38 )
| ( SV1 @ SY38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK3_SY25 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY11 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY25 @ sK4_SY30 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( sK2_SY11 @ sK5_SY36 )
| ~ ~ ( sK5_SY36 @ sK4_SY30 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: b > $o,SV2: b > $o] :
( ( ( ! [SY39: b] :
( ~ ( ~ ( SV2 @ ( sK6_Xx0 @ SY39 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SY39 @ SV2 @ SV1 ) ) )
| ~ ( sK1_P @ SV2 @ SY39 )
| ( SV1 @ SY39 ) ) )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK3_SY25 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY11 @ SX1 )
| ( SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( sK1_P @ sK3_SY25 @ sK4_SY30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( sK2_SY11 @ sK5_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ~ ( sK5_SY36 @ sK4_SY30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( sK1_P @ SV2 @ SV3 )
| ( SV1 @ SV3 ) )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ! [SX0: b] :
( ~ ( sK3_SY25 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY11 @ SX1 )
| ( SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( sK1_P @ sK3_SY25 @ sK4_SY30 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( sK2_SY11 @ sK5_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( sK5_SY36 @ sK4_SY30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(35,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV4: b] :
( ( ~ ( sK3_SY25 @ SV4 )
| ! [SY40: b > $o] :
( ~ ( sK2_SY11 @ SY40 )
| ( SY40 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
( ( sK5_SY36 @ sK4_SY30 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV4: b] :
( ( ( ~ ( sK3_SY25 @ SV4 ) )
= $true )
| ( ( ! [SY40: b > $o] :
( ~ ( sK2_SY11 @ SY40 )
| ( SY40 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( ~ ( SV2 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV4: b] :
( ( ( sK3_SY25 @ SV4 )
= $false )
| ( ( ! [SY40: b > $o] :
( ~ ( sK2_SY11 @ SY40 )
| ( SY40 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( ~ ( SV2 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(43,plain,
! [SV2: b > $o,SV3: b,SV1: b > $o] :
( ( ( ~ ~ ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV4: b,SV5: b > $o] :
( ( ( ~ ( sK2_SY11 @ SV5 )
| ( SV5 @ SV4 ) )
= $true )
| ( ( sK3_SY25 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(45,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( SV2 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(46,plain,
! [SV2: b > $o,SV3: b,SV1: b > $o] :
( ( ( ~ ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV4: b,SV5: b > $o] :
( ( ( ~ ( sK2_SY11 @ SV5 ) )
= $true )
| ( ( SV5 @ SV4 )
= $true )
| ( ( sK3_SY25 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( SV2 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV2: b > $o,SV3: b,SV1: b > $o] :
( ( ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(50,plain,
! [SV4: b,SV5: b > $o] :
( ( ( sK2_SY11 @ SV5 )
= $false )
| ( ( SV5 @ SV4 )
= $true )
| ( ( sK3_SY25 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV1: b > $o,SV3: b,SV2: b > $o] :
( ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( SV1 @ ( sK6_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV3 )
= $true )
| ( ( sK2_SY11 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,51,50,48,37,33]) ).
thf(53,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV185^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.14 % Computer : n014.cluster.edu
% 0.09/0.14 % Model : x86_64 x86_64
% 0.09/0.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.14 % Memory : 8046.5625MB
% 0.09/0.14 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Tue Oct 6 15:41:26 UTC 2026
% 0.09/0.15 % CPUTime :
% 0.09/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18
% 0.09/0.18 No.of.Axioms: 0
% 0.09/0.18
% 0.09/0.18 Length.of.Defs: 0
% 0.09/0.18
% 0.09/0.18 Contains.Choice.Funs: false
% 0.09/0.18 .
% 0.09/0.18
% 0.09/0.18 ********************************
% 0.09/0.18 * All subproblems solved! *
% 0.09/0.18 ********************************
% 0.09/0.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:52,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.09/0.18
% 0.09/0.18 %**** Beginning of derivation protocol ****
% 0.09/0.18 % SZS output start CNFRefutation
% See solution above
% 0.09/0.18
% 0.09/0.18 %**** End of derivation protocol ****
% 0.09/0.18 %**** no. of clauses in derivation: 53 ****
% 0.09/0.18 %**** clause counter: 52 ****
% 0.09/0.18
% 0.09/0.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:52,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------