%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n015.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 10:12:00 AM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 74 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 410 ( 125 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 600 ( 134 ~; 93 |; 12 &; 346 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 138 ( 0 ^; 135 !; 3 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_goal,type,
goal: $o ).
thf(tp_reflexive_rewrite,type,
reflexive_rewrite: $i > $i > $o ).
thf(tp_rewrite,type,
rewrite: $i > $i > $o ).
thf(tp_sK1_SY19,type,
sK1_SY19: $i > $i > $i > $i ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rewrite @ A @ B )
& ( rewrite @ A @ C ) )
=> ? [D: $i] :
( ( rewrite @ B @ D )
& ( rewrite @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_diamond) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( reflexive_rewrite @ A @ B )
=> ( ( A = B )
| ( rewrite @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_or_rewrite) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( rewrite @ A @ B )
=> ( reflexive_rewrite @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( A = B )
=> ( reflexive_rewrite @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_in_reflexive_rewrite) ).
thf(5,axiom,
! [A: $i] :
( ( ( reflexive_rewrite @ b @ A )
& ( reflexive_rewrite @ c @ A ) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_ax) ).
thf(6,axiom,
( ( reflexive_rewrite @ a @ b )
& ( reflexive_rewrite @ a @ c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption) ).
thf(7,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(8,negated_conjecture,
goal = $false,
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
goal = $false,
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( rewrite @ A @ B )
& ( rewrite @ A @ C ) )
=> ? [D: $i] :
( ( rewrite @ B @ D )
& ( rewrite @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( ! [A: $i,B: $i] :
( ( reflexive_rewrite @ A @ B )
=> ( ( A = B )
| ( rewrite @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( ! [A: $i,B: $i] :
( ( rewrite @ A @ B )
=> ( reflexive_rewrite @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( reflexive_rewrite @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( ! [A: $i] :
( ( ( reflexive_rewrite @ b @ A )
& ( reflexive_rewrite @ c @ A ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( ( reflexive_rewrite @ a @ b )
& ( reflexive_rewrite @ a @ c ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ~ goal ) = $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ( reflexive_rewrite @ a @ b )
& ( reflexive_rewrite @ a @ c ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(18,plain,
( ( ! [A: $i] :
( ( ( reflexive_rewrite @ b @ A )
& ( reflexive_rewrite @ c @ A ) )
=> goal ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(19,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ( reflexive_rewrite @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(20,plain,
( ( ! [A: $i,B: $i] :
( ( rewrite @ A @ B )
=> ( reflexive_rewrite @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
( ( reflexive_rewrite @ A @ B )
=> ( ( A = B )
| ( rewrite @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(22,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( rewrite @ A @ B )
& ( rewrite @ A @ C ) )
=> ? [D: $i] :
( ( rewrite @ B @ D )
& ( rewrite @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(23,plain,
( ( ~ goal ) = $true ),
inference(copy,[status(thm)],[16]) ).
thf(24,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rewrite @ SX0 @ SX1 )
| ( reflexive_rewrite @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(25,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( reflexive_rewrite @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( rewrite @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( ~ ( reflexive_rewrite @ a @ b )
| ~ ( reflexive_rewrite @ a @ c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(27,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( reflexive_rewrite @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(28,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( reflexive_rewrite @ b @ SX0 )
| ~ ( reflexive_rewrite @ c @ SX0 ) )
| goal ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(29,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rewrite @ SX0 @ SX1 )
| ~ ( rewrite @ SX0 @ SX2 ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rewrite @ SX1 @ SX3 )
| ~ ( rewrite @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(30,plain,
goal = $false,
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(31,plain,
! [SV1: $i] :
( ( ! [SY11: $i] :
( ~ ( rewrite @ SV1 @ SY11 )
| ( reflexive_rewrite @ SV1 @ SY11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(32,plain,
! [SV2: $i] :
( ( ! [SY12: $i] :
( ~ ( reflexive_rewrite @ SV2 @ SY12 )
| ( SV2 = SY12 )
| ( rewrite @ SV2 @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(33,plain,
( ( ~ ( reflexive_rewrite @ a @ b )
| ~ ( reflexive_rewrite @ a @ c ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV3: $i] :
( ( ! [SY13: $i] :
( ( SV3 != SY13 )
| ( reflexive_rewrite @ SV3 @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( reflexive_rewrite @ b @ SV4 )
| ~ ( reflexive_rewrite @ c @ SV4 ) )
| goal )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV5: $i] :
( ( ! [SY14: $i,SY15: $i] :
( ~ ~ ( ~ ( rewrite @ SV5 @ SY14 )
| ~ ( rewrite @ SV5 @ SY15 ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rewrite @ SY14 @ SX3 )
| ~ ( rewrite @ SY15 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV6: $i,SV1: $i] :
( ( ~ ( rewrite @ SV1 @ SV6 )
| ( reflexive_rewrite @ SV1 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV7: $i,SV2: $i] :
( ( ~ ( reflexive_rewrite @ SV2 @ SV7 )
| ( SV2 = SV7 )
| ( rewrite @ SV2 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
( ( ~ ( reflexive_rewrite @ a @ b ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ( reflexive_rewrite @ a @ c ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(41,plain,
! [SV8: $i,SV3: $i] :
( ( ( SV3 != SV8 )
| ( reflexive_rewrite @ SV3 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(42,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( reflexive_rewrite @ b @ SV4 )
| ~ ( reflexive_rewrite @ c @ SV4 ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV9: $i,SV5: $i] :
( ( ! [SY17: $i] :
( ~ ~ ( ~ ( rewrite @ SV5 @ SV9 )
| ~ ( rewrite @ SV5 @ SY17 ) )
| ~ ! [SY18: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY18 )
| ~ ( rewrite @ SY17 @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV6: $i,SV1: $i] :
( ( ( ~ ( rewrite @ SV1 @ SV6 ) )
= $true )
| ( ( reflexive_rewrite @ SV1 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV7: $i,SV2: $i] :
( ( ( ~ ( reflexive_rewrite @ SV2 @ SV7 ) )
= $true )
| ( ( ( SV2 = SV7 )
| ( rewrite @ SV2 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(46,plain,
( ( reflexive_rewrite @ a @ b )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(47,plain,
( ( reflexive_rewrite @ a @ c )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(48,plain,
! [SV8: $i,SV3: $i] :
( ( ( SV3 != SV8 )
= $true )
| ( ( reflexive_rewrite @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( reflexive_rewrite @ b @ SV4 )
| ~ ( reflexive_rewrite @ c @ SV4 ) ) )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV10: $i,SV9: $i,SV5: $i] :
( ( ~ ~ ( ~ ( rewrite @ SV5 @ SV9 )
| ~ ( rewrite @ SV5 @ SV10 ) )
| ~ ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV6: $i,SV1: $i] :
( ( ( rewrite @ SV1 @ SV6 )
= $false )
| ( ( reflexive_rewrite @ SV1 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV7: $i,SV2: $i] :
( ( ( reflexive_rewrite @ SV2 @ SV7 )
= $false )
| ( ( ( SV2 = SV7 )
| ( rewrite @ SV2 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV8: $i,SV3: $i] :
( ( ( SV3 = SV8 )
= $false )
| ( ( reflexive_rewrite @ SV3 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV4: $i] :
( ( ( ~ ( reflexive_rewrite @ b @ SV4 )
| ~ ( reflexive_rewrite @ c @ SV4 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV10: $i,SV9: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( rewrite @ SV5 @ SV9 )
| ~ ( rewrite @ SV5 @ SV10 ) ) )
= $true )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
= $true )
| ( ( rewrite @ SV2 @ SV7 )
= $true )
| ( ( reflexive_rewrite @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV4: $i] :
( ( ( ~ ( reflexive_rewrite @ b @ SV4 ) )
= $true )
| ( ( ~ ( reflexive_rewrite @ c @ SV4 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV10: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( ~ ( rewrite @ SV5 @ SV9 )
| ~ ( rewrite @ SV5 @ SV10 ) ) )
= $false )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV4: $i] :
( ( ( reflexive_rewrite @ b @ SV4 )
= $false )
| ( ( ~ ( reflexive_rewrite @ c @ SV4 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV10: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( rewrite @ SV5 @ SV9 )
| ~ ( rewrite @ SV5 @ SV10 ) )
= $true )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(61,plain,
! [SV4: $i] :
( ( ( reflexive_rewrite @ c @ SV4 )
= $false )
| ( ( reflexive_rewrite @ b @ SV4 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV10: $i,SV9: $i,SV5: $i] :
( ( ( ~ ( rewrite @ SV5 @ SV9 ) )
= $true )
| ( ( ~ ( rewrite @ SV5 @ SV10 ) )
= $true )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV10: $i,SV9: $i,SV5: $i] :
( ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( ~ ( rewrite @ SV5 @ SV10 ) )
= $true )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(64,plain,
! [SV9: $i,SV10: $i,SV5: $i] :
( ( ( rewrite @ SV5 @ SV10 )
= $false )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( ~ ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(65,plain,
! [SV5: $i,SV10: $i,SV9: $i] :
( ( ( ! [SY19: $i] :
~ ~ ( ~ ( rewrite @ SV9 @ SY19 )
| ~ ( rewrite @ SV10 @ SY19 ) ) )
= $false )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(66,plain,
! [SV10: $i,SV5: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( rewrite @ SV9 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) )
| ~ ( rewrite @ SV10 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) ) ) )
= $false )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(67,plain,
! [SV10: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( ~ ( rewrite @ SV9 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) )
| ~ ( rewrite @ SV10 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) ) ) )
= $true )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(68,plain,
! [SV10: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( rewrite @ SV9 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) )
| ~ ( rewrite @ SV10 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) ) )
= $false )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(69,plain,
! [SV10: $i,SV5: $i,SV9: $i] :
( ( ( ~ ( rewrite @ SV9 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) ) )
= $false )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(70,plain,
! [SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( rewrite @ SV10 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) ) )
= $false )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(71,plain,
! [SV10: $i,SV5: $i,SV9: $i] :
( ( ( rewrite @ SV9 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) )
= $true )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(72,plain,
! [SV9: $i,SV5: $i,SV10: $i] :
( ( ( rewrite @ SV10 @ ( sK1_SY19 @ SV5 @ SV10 @ SV9 ) )
= $true )
| ( ( rewrite @ SV5 @ SV9 )
= $false )
| ( ( rewrite @ SV5 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(73,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,72,71,61,56,53,51,47,46]) ).
thf(74,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.11/0.19 % Computer : n015.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Oct 6 18:39:43 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.25
% 0.11/0.25 No.of.Axioms: 6
% 0.11/0.25
% 0.11/0.25 Length.of.Defs: 0
% 0.11/0.25
% 0.11/0.25 Contains.Choice.Funs: false
% 0.11/0.25 .
% 0.11/0.25
% 0.11/0.25 ********************************
% 0.11/0.25 * All subproblems solved! *
% 0.11/0.25 ********************************
% 0.11/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:73,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.25
% 0.11/0.25 %**** Beginning of derivation protocol ****
% 0.11/0.25 % SZS output start CNFRefutation
% See solution above
% 0.11/0.25
% 0.11/0.25 %**** End of derivation protocol ****
% 0.11/0.25 %**** no. of clauses in derivation: 74 ****
% 0.11/0.25 %**** clause counter: 73 ****
% 0.11/0.25
% 0.11/0.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:73,loop_count:0,foatp_calls:1,translation:fof_full)
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