%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CAT002-3 : TPTP v9.3.1. Released v1.0.0.
% 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 : n018.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 10:10:39 AM UTC 2026
% Result : Unsatisfiable 6.11s 1.22s
% Output : CNFRefutation 6.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 167 ( 106 unt; 0 typ; 0 def)
% Number of atoms : 789 ( 395 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 1004 ( 163 ~; 214 |; 0 &; 627 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 298 ( 0 ^; 298 !; 0 ?; 298 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_codomain,type,
codomain: $i > $i ).
thf(tp_compose,type,
compose: $i > $i > $i ).
thf(tp_domain,type,
domain: $i > $i ).
thf(tp_equivalent,type,
equivalent: $i > $i > $o ).
thf(tp_f1,type,
f1: $i > $i > $i ).
thf(tp_g,type,
g: $i ).
thf(tp_h,type,
h: $i ).
thf(tp_there_exists,type,
there_exists: $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( X
!= ( f1 @ X @ Y ) )
| ( Y
!= ( f1 @ X @ Y ) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indiscernibles3) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( X
= ( f1 @ X @ Y ) )
| ( Y
= ( f1 @ X @ Y ) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indiscernibles2) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( there_exists @ ( f1 @ X @ Y ) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indiscernibles1) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( there_exists @ ( codomain @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_codomain) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ~ ( there_exists @ X )
| ~ ( there_exists @ Y )
| ( X != Y )
| ( equivalent @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_and_equality_implies_equivalence2) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( there_exists @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_implies_existence3) ).
thf(7,axiom,
! [X: $i] :
( ( compose @ ( codomain @ X ) @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).
thf(8,axiom,
! [X: $i] :
( ( compose @ X @ ( domain @ X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_domain) ).
thf(9,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( compose @ X @ ( compose @ Y @ Z ) )
= ( compose @ ( compose @ X @ Y ) @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).
thf(10,axiom,
! [X: $i,Y: $i] :
( ~ ( there_exists @ ( domain @ X ) )
| ( ( domain @ X )
!= ( codomain @ Y ) )
| ( there_exists @ ( compose @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition2) ).
thf(11,axiom,
! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( ( domain @ X )
= ( codomain @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
thf(12,axiom,
! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( there_exists @ ( domain @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).
thf(13,axiom,
! [X: $i] :
( ~ ( there_exists @ ( codomain @ X ) )
| ( there_exists @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_has_elements) ).
thf(14,axiom,
! [X: $i] :
( ~ ( there_exists @ ( domain @ X ) )
| ( there_exists @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).
thf(15,axiom,
! [X: $i,Y: $i] :
( ~ ( there_exists @ X )
| ( X != Y )
| ( equivalent @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_and_equality_implies_equivalence1) ).
thf(16,axiom,
! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_implies_existence2) ).
thf(17,axiom,
! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( there_exists @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_implies_existence1) ).
thf(18,axiom,
( ( compose @ ( compose @ a @ b ) @ h )
= ( compose @ ( compose @ a @ b ) @ g ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
thf(19,axiom,
there_exists @ h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_h_exists) ).
thf(20,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( compose @ b @ X )
!= Y )
| ( ( compose @ b @ Z )
!= Y )
| ( X = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).
thf(21,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( compose @ a @ X )
!= Y )
| ( ( compose @ a @ Z )
!= Y )
| ( X = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).
thf(22,axiom,
there_exists @ ( compose @ a @ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_ab_exists) ).
thf(23,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(24,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[23]) ).
thf(25,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
thf(26,plain,
$false = $false,
inference(unfold_def,[status(thm)],[24]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ( X
!= ( f1 @ X @ Y ) )
| ( Y
!= ( f1 @ X @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ( X
= ( f1 @ X @ Y ) )
| ( Y
= ( f1 @ X @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] :
( ( there_exists @ ( f1 @ X @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( there_exists @ ( codomain @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ X )
| ~ ( there_exists @ Y )
| ( X != Y )
| ( equivalent @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( there_exists @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(33,plain,
( ( ! [X: $i] :
( ( compose @ ( codomain @ X ) @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(34,plain,
( ( ! [X: $i] :
( ( compose @ X @ ( domain @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( compose @ X @ ( compose @ Y @ Z ) )
= ( compose @ ( compose @ X @ Y ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(36,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( domain @ X ) )
| ( ( domain @ X )
!= ( codomain @ Y ) )
| ( there_exists @ ( compose @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( ( domain @ X )
= ( codomain @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( there_exists @ ( domain @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(39,plain,
( ( ! [X: $i] :
( ~ ( there_exists @ ( codomain @ X ) )
| ( there_exists @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(40,plain,
( ( ! [X: $i] :
( ~ ( there_exists @ ( domain @ X ) )
| ( there_exists @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ X )
| ( X != Y )
| ( equivalent @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( there_exists @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(44,plain,
( ( ( compose @ ( compose @ a @ b ) @ h )
= ( compose @ ( compose @ a @ b ) @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(45,plain,
( ( there_exists @ h )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( compose @ b @ X )
!= Y )
| ( ( compose @ b @ Z )
!= Y )
| ( X = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( compose @ a @ X )
!= Y )
| ( ( compose @ a @ Z )
!= Y )
| ( X = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(48,plain,
( ( there_exists @ ( compose @ a @ b ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(49,plain,
( ( g != h )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(50,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(51,plain,
( ( g != h )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(52,plain,
( ( there_exists @ ( compose @ a @ b ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(53,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( compose @ a @ X )
!= Y )
| ( ( compose @ a @ Z )
!= Y )
| ( X = Z ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(54,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( compose @ b @ X )
!= Y )
| ( ( compose @ b @ Z )
!= Y )
| ( X = Z ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(55,plain,
( ( there_exists @ h )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(56,plain,
( ( ( compose @ ( compose @ a @ b ) @ h )
= ( compose @ ( compose @ a @ b ) @ g ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( there_exists @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ X )
| ( X != Y )
| ( equivalent @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(60,plain,
( ( ! [X: $i] :
( ~ ( there_exists @ ( domain @ X ) )
| ( there_exists @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(61,plain,
( ( ! [X: $i] :
( ~ ( there_exists @ ( codomain @ X ) )
| ( there_exists @ X ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(62,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( there_exists @ ( domain @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(63,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( ( domain @ X )
= ( codomain @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( domain @ X ) )
| ( ( domain @ X )
!= ( codomain @ Y ) )
| ( there_exists @ ( compose @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(65,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( compose @ X @ ( compose @ Y @ Z ) )
= ( compose @ ( compose @ X @ Y ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(66,plain,
( ( ! [X: $i] :
( ( compose @ X @ ( domain @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(67,plain,
( ( ! [X: $i] :
( ( compose @ ( codomain @ X ) @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(68,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( equivalent @ X @ Y )
| ( there_exists @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ X )
| ~ ( there_exists @ Y )
| ( X != Y )
| ( equivalent @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( there_exists @ ( compose @ X @ Y ) )
| ( there_exists @ ( codomain @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(71,plain,
( ( ! [X: $i,Y: $i] :
( ( there_exists @ ( f1 @ X @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(72,plain,
( ( ! [X: $i,Y: $i] :
( ( X
= ( f1 @ X @ Y ) )
| ( Y
= ( f1 @ X @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(73,plain,
( ( ! [X: $i,Y: $i] :
( ( X
!= ( f1 @ X @ Y ) )
| ( Y
!= ( f1 @ X @ Y ) )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(74,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[50]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( there_exists @ ( domain @ SX0 ) )
| ( ( domain @ SX0 )
!= ( codomain @ SX1 ) )
| ( there_exists @ ( compose @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( f1 @ SX0 @ SX1 ) )
| ( SX1
!= ( f1 @ SX0 @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( compose @ a @ SX0 )
!= SX1 )
| ( ( compose @ a @ SX2 )
!= SX1 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(78,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( there_exists @ SX0 )
| ( SX0 != SX1 )
| ( equivalent @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(79,plain,
( ( g != h )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( compose @ b @ SX0 )
!= SX1 )
| ( ( compose @ b @ SX2 )
!= SX1 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( there_exists @ SX0 )
| ~ ( there_exists @ SX1 )
| ( SX0 != SX1 )
| ( equivalent @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(82,plain,
! [SV1: $i] :
( ( ! [SY37: $i] :
( ~ ( equivalent @ SV1 @ SY37 )
| ( there_exists @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(83,plain,
! [SV2: $i] :
( ( ! [SY38: $i] :
( ~ ( equivalent @ SV2 @ SY38 )
| ( SV2 = SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(84,plain,
! [SV3: $i] :
( ( ~ ( there_exists @ ( domain @ SV3 ) )
| ( there_exists @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(85,plain,
! [SV4: $i] :
( ( ~ ( there_exists @ ( codomain @ SV4 ) )
| ( there_exists @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(86,plain,
! [SV5: $i] :
( ( ! [SY39: $i] :
( ~ ( there_exists @ ( compose @ SV5 @ SY39 ) )
| ( there_exists @ ( domain @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(87,plain,
! [SV6: $i] :
( ( ! [SY40: $i] :
( ~ ( there_exists @ ( compose @ SV6 @ SY40 ) )
| ( ( domain @ SV6 )
= ( codomain @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(88,plain,
! [SV7: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ( compose @ SV7 @ ( compose @ SY41 @ SY42 ) )
= ( compose @ ( compose @ SV7 @ SY41 ) @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(89,plain,
! [SV8: $i] :
( ( ( compose @ SV8 @ ( domain @ SV8 ) )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(90,plain,
! [SV9: $i] :
( ( ( compose @ ( codomain @ SV9 ) @ SV9 )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(91,plain,
! [SV10: $i] :
( ( ! [SY43: $i] :
( ~ ( equivalent @ SV10 @ SY43 )
| ( there_exists @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(92,plain,
! [SV11: $i] :
( ( ! [SY44: $i] :
( ~ ( there_exists @ ( compose @ SV11 @ SY44 ) )
| ( there_exists @ ( codomain @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(93,plain,
! [SV12: $i] :
( ( ! [SY45: $i] :
( ( there_exists @ ( f1 @ SV12 @ SY45 ) )
| ( SV12 = SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(94,plain,
! [SV13: $i] :
( ( ! [SY46: $i] :
( ( SV13
= ( f1 @ SV13 @ SY46 ) )
| ( SY46
= ( f1 @ SV13 @ SY46 ) )
| ( SV13 = SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(95,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(96,plain,
! [SV14: $i] :
( ( ! [SY47: $i] :
( ~ ( there_exists @ ( domain @ SV14 ) )
| ( ( domain @ SV14 )
!= ( codomain @ SY47 ) )
| ( there_exists @ ( compose @ SV14 @ SY47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(97,plain,
! [SV15: $i] :
( ( ! [SY48: $i] :
( ( SV15
!= ( f1 @ SV15 @ SY48 ) )
| ( SY48
!= ( f1 @ SV15 @ SY48 ) )
| ( SV15 = SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(98,plain,
! [SV16: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ( ( compose @ a @ SV16 )
!= SY49 )
| ( ( compose @ a @ SY50 )
!= SY49 )
| ( SV16 = SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(99,plain,
! [SV17: $i] :
( ( ! [SY51: $i] :
( ~ ( there_exists @ SV17 )
| ( SV17 != SY51 )
| ( equivalent @ SV17 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(100,plain,
( ( g = h )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV18: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ( ( compose @ b @ SV18 )
!= SY52 )
| ( ( compose @ b @ SY53 )
!= SY52 )
| ( SV18 = SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV19: $i] :
( ( ! [SY54: $i] :
( ~ ( there_exists @ SV19 )
| ~ ( there_exists @ SY54 )
| ( SV19 != SY54 )
| ( equivalent @ SV19 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(103,plain,
! [SV20: $i,SV1: $i] :
( ( ~ ( equivalent @ SV1 @ SV20 )
| ( there_exists @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(104,plain,
! [SV21: $i,SV2: $i] :
( ( ~ ( equivalent @ SV2 @ SV21 )
| ( SV2 = SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(105,plain,
! [SV3: $i] :
( ( ( ~ ( there_exists @ ( domain @ SV3 ) ) )
= $true )
| ( ( there_exists @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(106,plain,
! [SV4: $i] :
( ( ( ~ ( there_exists @ ( codomain @ SV4 ) ) )
= $true )
| ( ( there_exists @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(107,plain,
! [SV22: $i,SV5: $i] :
( ( ~ ( there_exists @ ( compose @ SV5 @ SV22 ) )
| ( there_exists @ ( domain @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(108,plain,
! [SV23: $i,SV6: $i] :
( ( ~ ( there_exists @ ( compose @ SV6 @ SV23 ) )
| ( ( domain @ SV6 )
= ( codomain @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(109,plain,
! [SV24: $i,SV7: $i] :
( ( ! [SY55: $i] :
( ( compose @ SV7 @ ( compose @ SV24 @ SY55 ) )
= ( compose @ ( compose @ SV7 @ SV24 ) @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(110,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( equivalent @ SV10 @ SV25 )
| ( there_exists @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV26: $i,SV11: $i] :
( ( ~ ( there_exists @ ( compose @ SV11 @ SV26 ) )
| ( there_exists @ ( codomain @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV27: $i,SV12: $i] :
( ( ( there_exists @ ( f1 @ SV12 @ SV27 ) )
| ( SV12 = SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV28: $i,SV13: $i] :
( ( ( SV13
= ( f1 @ SV13 @ SV28 ) )
| ( SV28
= ( f1 @ SV13 @ SV28 ) )
| ( SV13 = SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV29: $i,SV14: $i] :
( ( ~ ( there_exists @ ( domain @ SV14 ) )
| ( ( domain @ SV14 )
!= ( codomain @ SV29 ) )
| ( there_exists @ ( compose @ SV14 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(115,plain,
! [SV30: $i,SV15: $i] :
( ( ( SV15
!= ( f1 @ SV15 @ SV30 ) )
| ( SV30
!= ( f1 @ SV15 @ SV30 ) )
| ( SV15 = SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(116,plain,
! [SV31: $i,SV16: $i] :
( ( ! [SY56: $i] :
( ( ( compose @ a @ SV16 )
!= SV31 )
| ( ( compose @ a @ SY56 )
!= SV31 )
| ( SV16 = SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(117,plain,
! [SV32: $i,SV17: $i] :
( ( ~ ( there_exists @ SV17 )
| ( SV17 != SV32 )
| ( equivalent @ SV17 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(118,plain,
! [SV33: $i,SV18: $i] :
( ( ! [SY57: $i] :
( ( ( compose @ b @ SV18 )
!= SV33 )
| ( ( compose @ b @ SY57 )
!= SV33 )
| ( SV18 = SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(119,plain,
! [SV34: $i,SV19: $i] :
( ( ~ ( there_exists @ SV19 )
| ~ ( there_exists @ SV34 )
| ( SV19 != SV34 )
| ( equivalent @ SV19 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(120,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( equivalent @ SV1 @ SV20 ) )
= $true )
| ( ( there_exists @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(121,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ( equivalent @ SV2 @ SV21 ) )
= $true )
| ( ( SV2 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(122,plain,
! [SV3: $i] :
( ( ( there_exists @ ( domain @ SV3 ) )
= $false )
| ( ( there_exists @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(123,plain,
! [SV4: $i] :
( ( ( there_exists @ ( codomain @ SV4 ) )
= $false )
| ( ( there_exists @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(124,plain,
! [SV22: $i,SV5: $i] :
( ( ( ~ ( there_exists @ ( compose @ SV5 @ SV22 ) ) )
= $true )
| ( ( there_exists @ ( domain @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(125,plain,
! [SV23: $i,SV6: $i] :
( ( ( ~ ( there_exists @ ( compose @ SV6 @ SV23 ) ) )
= $true )
| ( ( ( domain @ SV6 )
= ( codomain @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV35: $i,SV24: $i,SV7: $i] :
( ( ( compose @ SV7 @ ( compose @ SV24 @ SV35 ) )
= ( compose @ ( compose @ SV7 @ SV24 ) @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(127,plain,
! [SV25: $i,SV10: $i] :
( ( ( ~ ( equivalent @ SV10 @ SV25 ) )
= $true )
| ( ( there_exists @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(128,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( there_exists @ ( compose @ SV11 @ SV26 ) ) )
= $true )
| ( ( there_exists @ ( codomain @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(129,plain,
! [SV27: $i,SV12: $i] :
( ( ( there_exists @ ( f1 @ SV12 @ SV27 ) )
= $true )
| ( ( SV12 = SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(130,plain,
! [SV28: $i,SV13: $i] :
( ( ( SV13
= ( f1 @ SV13 @ SV28 ) )
= $true )
| ( ( ( SV28
= ( f1 @ SV13 @ SV28 ) )
| ( SV13 = SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(131,plain,
! [SV29: $i,SV14: $i] :
( ( ( ~ ( there_exists @ ( domain @ SV14 ) ) )
= $true )
| ( ( ( ( domain @ SV14 )
!= ( codomain @ SV29 ) )
| ( there_exists @ ( compose @ SV14 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(132,plain,
! [SV30: $i,SV15: $i] :
( ( ( SV15
!= ( f1 @ SV15 @ SV30 ) )
= $true )
| ( ( ( SV30
!= ( f1 @ SV15 @ SV30 ) )
| ( SV15 = SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(133,plain,
! [SV36: $i,SV31: $i,SV16: $i] :
( ( ( ( compose @ a @ SV16 )
!= SV31 )
| ( ( compose @ a @ SV36 )
!= SV31 )
| ( SV16 = SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(134,plain,
! [SV32: $i,SV17: $i] :
( ( ( ~ ( there_exists @ SV17 ) )
= $true )
| ( ( ( SV17 != SV32 )
| ( equivalent @ SV17 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(135,plain,
! [SV37: $i,SV33: $i,SV18: $i] :
( ( ( ( compose @ b @ SV18 )
!= SV33 )
| ( ( compose @ b @ SV37 )
!= SV33 )
| ( SV18 = SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(136,plain,
! [SV34: $i,SV19: $i] :
( ( ( ~ ( there_exists @ SV19 ) )
= $true )
| ( ( ~ ( there_exists @ SV34 )
| ( SV19 != SV34 )
| ( equivalent @ SV19 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(137,plain,
! [SV20: $i,SV1: $i] :
( ( ( equivalent @ SV1 @ SV20 )
= $false )
| ( ( there_exists @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(138,plain,
! [SV21: $i,SV2: $i] :
( ( ( equivalent @ SV2 @ SV21 )
= $false )
| ( ( SV2 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(139,plain,
! [SV22: $i,SV5: $i] :
( ( ( there_exists @ ( compose @ SV5 @ SV22 ) )
= $false )
| ( ( there_exists @ ( domain @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV23: $i,SV6: $i] :
( ( ( there_exists @ ( compose @ SV6 @ SV23 ) )
= $false )
| ( ( ( domain @ SV6 )
= ( codomain @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV25: $i,SV10: $i] :
( ( ( equivalent @ SV10 @ SV25 )
= $false )
| ( ( there_exists @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(142,plain,
! [SV26: $i,SV11: $i] :
( ( ( there_exists @ ( compose @ SV11 @ SV26 ) )
= $false )
| ( ( there_exists @ ( codomain @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(143,plain,
! [SV13: $i,SV28: $i] :
( ( ( SV28
= ( f1 @ SV13 @ SV28 ) )
= $true )
| ( ( SV13 = SV28 )
= $true )
| ( ( SV13
= ( f1 @ SV13 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(144,plain,
! [SV29: $i,SV14: $i] :
( ( ( there_exists @ ( domain @ SV14 ) )
= $false )
| ( ( ( ( domain @ SV14 )
!= ( codomain @ SV29 ) )
| ( there_exists @ ( compose @ SV14 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(145,plain,
! [SV30: $i,SV15: $i] :
( ( ( SV15
= ( f1 @ SV15 @ SV30 ) )
= $false )
| ( ( ( SV30
!= ( f1 @ SV15 @ SV30 ) )
| ( SV15 = SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(146,plain,
! [SV36: $i,SV31: $i,SV16: $i] :
( ( ( ( compose @ a @ SV16 )
!= SV31 )
= $true )
| ( ( ( ( compose @ a @ SV36 )
!= SV31 )
| ( SV16 = SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(147,plain,
! [SV32: $i,SV17: $i] :
( ( ( there_exists @ SV17 )
= $false )
| ( ( ( SV17 != SV32 )
| ( equivalent @ SV17 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(148,plain,
! [SV37: $i,SV33: $i,SV18: $i] :
( ( ( ( compose @ b @ SV18 )
!= SV33 )
= $true )
| ( ( ( ( compose @ b @ SV37 )
!= SV33 )
| ( SV18 = SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(149,plain,
! [SV34: $i,SV19: $i] :
( ( ( there_exists @ SV19 )
= $false )
| ( ( ~ ( there_exists @ SV34 )
| ( SV19 != SV34 )
| ( equivalent @ SV19 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(150,plain,
! [SV29: $i,SV14: $i] :
( ( ( ( domain @ SV14 )
!= ( codomain @ SV29 ) )
= $true )
| ( ( there_exists @ ( compose @ SV14 @ SV29 ) )
= $true )
| ( ( there_exists @ ( domain @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(151,plain,
! [SV15: $i,SV30: $i] :
( ( ( SV30
!= ( f1 @ SV15 @ SV30 ) )
= $true )
| ( ( SV15 = SV30 )
= $true )
| ( ( SV15
= ( f1 @ SV15 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(152,plain,
! [SV36: $i,SV31: $i,SV16: $i] :
( ( ( ( compose @ a @ SV16 )
= SV31 )
= $false )
| ( ( ( ( compose @ a @ SV36 )
!= SV31 )
| ( SV16 = SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(153,plain,
! [SV32: $i,SV17: $i] :
( ( ( SV17 != SV32 )
= $true )
| ( ( equivalent @ SV17 @ SV32 )
= $true )
| ( ( there_exists @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(154,plain,
! [SV37: $i,SV33: $i,SV18: $i] :
( ( ( ( compose @ b @ SV18 )
= SV33 )
= $false )
| ( ( ( ( compose @ b @ SV37 )
!= SV33 )
| ( SV18 = SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(155,plain,
! [SV19: $i,SV34: $i] :
( ( ( ~ ( there_exists @ SV34 ) )
= $true )
| ( ( ( SV19 != SV34 )
| ( equivalent @ SV19 @ SV34 ) )
= $true )
| ( ( there_exists @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(156,plain,
! [SV29: $i,SV14: $i] :
( ( ( ( domain @ SV14 )
= ( codomain @ SV29 ) )
= $false )
| ( ( there_exists @ ( compose @ SV14 @ SV29 ) )
= $true )
| ( ( there_exists @ ( domain @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV15: $i,SV30: $i] :
( ( ( SV30
= ( f1 @ SV15 @ SV30 ) )
= $false )
| ( ( SV15 = SV30 )
= $true )
| ( ( SV15
= ( f1 @ SV15 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(158,plain,
! [SV16: $i,SV31: $i,SV36: $i] :
( ( ( ( compose @ a @ SV36 )
!= SV31 )
= $true )
| ( ( SV16 = SV36 )
= $true )
| ( ( ( compose @ a @ SV16 )
= SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(159,plain,
! [SV32: $i,SV17: $i] :
( ( ( SV17 = SV32 )
= $false )
| ( ( equivalent @ SV17 @ SV32 )
= $true )
| ( ( there_exists @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(160,plain,
! [SV18: $i,SV33: $i,SV37: $i] :
( ( ( ( compose @ b @ SV37 )
!= SV33 )
= $true )
| ( ( SV18 = SV37 )
= $true )
| ( ( ( compose @ b @ SV18 )
= SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(161,plain,
! [SV19: $i,SV34: $i] :
( ( ( there_exists @ SV34 )
= $false )
| ( ( ( SV19 != SV34 )
| ( equivalent @ SV19 @ SV34 ) )
= $true )
| ( ( there_exists @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(162,plain,
! [SV16: $i,SV31: $i,SV36: $i] :
( ( ( ( compose @ a @ SV36 )
= SV31 )
= $false )
| ( ( SV16 = SV36 )
= $true )
| ( ( ( compose @ a @ SV16 )
= SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(163,plain,
! [SV18: $i,SV33: $i,SV37: $i] :
( ( ( ( compose @ b @ SV37 )
= SV33 )
= $false )
| ( ( SV18 = SV37 )
= $true )
| ( ( ( compose @ b @ SV18 )
= SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(164,plain,
! [SV34: $i,SV19: $i] :
( ( ( SV19 != SV34 )
= $true )
| ( ( equivalent @ SV19 @ SV34 )
= $true )
| ( ( there_exists @ SV34 )
= $false )
| ( ( there_exists @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(165,plain,
! [SV34: $i,SV19: $i] :
( ( ( SV19 = SV34 )
= $false )
| ( ( equivalent @ SV19 @ SV34 )
= $true )
| ( ( there_exists @ SV34 )
= $false )
| ( ( there_exists @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(166,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[52,165,163,162,159,157,156,143,142,141,140,139,138,137,129,126,123,122,100,95,90,89,56,55]) ).
thf(167,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT002-3 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.08/0.17 % Computer : n018.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 18:31:22 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.11/1.22
% 6.11/1.22 No.of.Axioms: 23
% 6.11/1.22
% 6.11/1.22 Length.of.Defs: 0
% 6.11/1.22
% 6.11/1.22 Contains.Choice.Funs: false
% 6.11/1.22 ...
% 6.11/1.22
% 6.11/1.22 ********************************
% 6.11/1.22 * All subproblems solved! *
% 6.11/1.22 ********************************
% 6.11/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,ps:3,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:166,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.11/1.22
% 6.11/1.22 %**** Beginning of derivation protocol ****
% 6.11/1.22 % SZS output start CNFRefutation
% See solution above
% 6.11/1.22
% 6.11/1.22 %**** End of derivation protocol ****
% 6.11/1.22 %**** no. of clauses in derivation: 167 ****
% 6.11/1.22 %**** clause counter: 166 ****
% 6.11/1.22
% 6.11/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,ps:3,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:166,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------