TSTP Solution File: SET974+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 03:06:39 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 128 ( 81 unt; 17 typ; 0 def)
% Number of atoms : 473 ( 161 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 1382 ( 147 ~; 87 |; 18 &;1119 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 8 con; 0-5 aty)
% Number of variables : 291 ( 0 ^ 285 !; 6 ?; 291 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cartesian_product2,type,
cartesian_product2: $i > $i > $i ).
thf(tp_disjoint,type,
disjoint: $i > $i > $o ).
thf(tp_empty,type,
empty: $i > $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_ordered_pair,type,
ordered_pair: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY31,type,
sK2_SY31: $i ).
thf(tp_sK3_SY34,type,
sK3_SY34: $i ).
thf(tp_sK4_SY36,type,
sK4_SY36: $i ).
thf(tp_sK5_C,type,
sK5_C: $i > $i > $i ).
thf(tp_sK6_F,type,
sK6_F: $i > $i > $i > $i > $i > $i ).
thf(tp_sK7_SY37,type,
sK7_SY37: $i > $i > $i > $i > $i > $i ).
thf(tp_sK8_A,type,
sK8_A: $i ).
thf(tp_sK9_A,type,
sK9_A: $i ).
thf(tp_set_intersection2,type,
set_intersection2: $i > $i > $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(1,axiom,
! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) )
& ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) )
& ! [F: $i,G: $i] :
~ ( ( A
= ( ordered_pair @ F @ G ) )
& ( in @ F @ ( set_intersection2 @ B @ D ) )
& ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_zfmisc_1) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
thf(4,axiom,
? [A: $i] :
~ ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(5,axiom,
? [A: $i] : ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
thf(7,axiom,
! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(12,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( disjoint @ A @ B )
| ( disjoint @ C @ D ) )
=> ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_zfmisc_1) ).
thf(13,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( disjoint @ A @ B )
| ( disjoint @ C @ D ) )
=> ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( disjoint @ A @ B )
| ( disjoint @ C @ D ) )
=> ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) )
& ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
~ ( ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) )
& ! [F: $i,G: $i] :
~ ( ( A
= ( ordered_pair @ F @ G ) )
& ( in @ F @ ( set_intersection2 @ B @ D ) )
& ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( ? [A: $i] :
~ ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ? [A: $i] : ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(26,plain,
( ( ! [SY31: $i,SY32: $i,SY33: $i] :
( ( ( disjoint @ sK1_A @ SY31 )
| ( disjoint @ SY32 @ SY33 ) )
=> ( disjoint @ ( cartesian_product2 @ sK1_A @ SY32 ) @ ( cartesian_product2 @ SY31 @ SY33 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(27,plain,
( ( ! [SY34: $i,SY35: $i] :
( ( ( disjoint @ sK1_A @ sK2_SY31 )
| ( disjoint @ SY34 @ SY35 ) )
=> ( disjoint @ ( cartesian_product2 @ sK1_A @ SY34 ) @ ( cartesian_product2 @ sK2_SY31 @ SY35 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(28,plain,
( ( ! [SY36: $i] :
( ( ( disjoint @ sK1_A @ sK2_SY31 )
| ( disjoint @ sK3_SY34 @ SY36 ) )
=> ( disjoint @ ( cartesian_product2 @ sK1_A @ sK3_SY34 ) @ ( cartesian_product2 @ sK2_SY31 @ SY36 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(29,plain,
( ( ( ( disjoint @ sK1_A @ sK2_SY31 )
| ( disjoint @ sK3_SY34 @ sK4_SY36 ) )
=> ( disjoint @ ( cartesian_product2 @ sK1_A @ sK3_SY34 ) @ ( cartesian_product2 @ sK2_SY31 @ sK4_SY36 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[28]) ).
thf(30,plain,
( ( ( disjoint @ sK1_A @ sK2_SY31 )
| ( disjoint @ sK3_SY34 @ sK4_SY36 ) )
= $true ),
inference(standard_cnf,[status(thm)],[29]) ).
thf(31,plain,
( ( disjoint @ ( cartesian_product2 @ sK1_A @ sK3_SY34 ) @ ( cartesian_product2 @ sK2_SY31 @ sK4_SY36 ) )
= $false ),
inference(standard_cnf,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ( disjoint @ ( cartesian_product2 @ sK1_A @ sK3_SY34 ) @ ( cartesian_product2 @ sK2_SY31 @ sK4_SY36 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( in @ ( sK5_C @ B @ A ) @ ( set_intersection2 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) )
| ~ ( disjoint @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(34,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( A
= ( ordered_pair @ ( sK6_F @ E @ D @ C @ B @ A ) @ ( sK7_SY37 @ E @ D @ C @ B @ A ) ) )
& ( in @ ( sK6_F @ E @ D @ C @ B @ A ) @ ( set_intersection2 @ B @ D ) )
& ( in @ ( sK7_SY37 @ E @ D @ C @ B @ A ) @ ( set_intersection2 @ C @ E ) ) )
| ~ ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(36,plain,
( ( ~ ( empty @ sK8_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(37,plain,
( ( empty @ sK9_A )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(38,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(42,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(45,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(46,plain,
( ( empty @ sK9_A )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(47,plain,
( ( ~ ( empty @ sK8_A ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( A
= ( ordered_pair @ ( sK6_F @ E @ D @ C @ B @ A ) @ ( sK7_SY37 @ E @ D @ C @ B @ A ) ) )
& ( in @ ( sK6_F @ E @ D @ C @ B @ A ) @ ( set_intersection2 @ B @ D ) )
& ( in @ ( sK7_SY37 @ E @ D @ C @ B @ A ) @ ( set_intersection2 @ C @ E ) ) )
| ~ ( in @ A @ ( set_intersection2 @ ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( in @ ( sK5_C @ B @ A ) @ ( set_intersection2 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) )
| ~ ( disjoint @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(51,plain,
( ( ( disjoint @ sK1_A @ sK2_SY31 )
| ( disjoint @ sK3_SY34 @ sK4_SY36 ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(52,plain,
( ( ~ ( disjoint @ ( cartesian_product2 @ sK1_A @ sK3_SY34 ) @ ( cartesian_product2 @ sK2_SY31 @ sK4_SY36 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(53,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( ~ ~ ( ( SX0
!= ( ordered_pair @ ( sK6_F @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK7_SY37 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( in @ ( sK6_F @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( set_intersection2 @ SX1 @ SX3 ) ) )
| ~ ( in @ ( sK7_SY37 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( set_intersection2 @ SX2 @ SX4 ) ) )
| ~ ( in @ SX0 @ ( set_intersection2 @ ( cartesian_product2 @ SX1 @ SX2 ) @ ( cartesian_product2 @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(54,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK5_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(55,plain,
! [SV1: $i] :
( ( ! [SY38: $i] :
( ~ ( in @ SV1 @ SY38 )
| ~ ( in @ SY38 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(56,plain,
! [SV2: $i] :
( ( ! [SY39: $i] :
( ( unordered_pair @ SV2 @ SY39 )
= ( unordered_pair @ SY39 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(57,plain,
! [SV3: $i] :
( ( ! [SY40: $i] :
( ( set_intersection2 @ SV3 @ SY40 )
= ( set_intersection2 @ SY40 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(58,plain,
! [SV4: $i] :
( ( ! [SY41: $i] :
( ( ordered_pair @ SV4 @ SY41 )
= ( unordered_pair @ ( unordered_pair @ SV4 @ SY41 ) @ ( singleton @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(59,plain,
! [SV5: $i] :
( ( ! [SY42: $i] :
~ ( empty @ ( ordered_pair @ SV5 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(60,plain,
! [SV6: $i] :
( ( ( set_intersection2 @ SV6 @ SV6 )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(61,plain,
( ( empty @ sK8_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(62,plain,
! [SV7: $i] :
( ( ! [SY43: $i] :
( ~ ( disjoint @ SV7 @ SY43 )
| ( disjoint @ SY43 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(63,plain,
( ( ( disjoint @ sK1_A @ sK2_SY31 )
= $true )
| ( ( disjoint @ sK3_SY34 @ sK4_SY36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(64,plain,
( ( disjoint @ ( cartesian_product2 @ sK1_A @ sK3_SY34 ) @ ( cartesian_product2 @ sK2_SY31 @ sK4_SY36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(65,plain,
! [SV8: $i] :
( ( ! [SY44: $i,SY45: $i,SY46: $i,SY47: $i] :
( ~ ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SY47 @ SY46 @ SY45 @ SY44 @ SV8 ) @ ( sK7_SY37 @ SY47 @ SY46 @ SY45 @ SY44 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SY47 @ SY46 @ SY45 @ SY44 @ SV8 ) @ ( set_intersection2 @ SY44 @ SY46 ) ) )
| ~ ( in @ ( sK7_SY37 @ SY47 @ SY46 @ SY45 @ SY44 @ SV8 ) @ ( set_intersection2 @ SY45 @ SY47 ) ) )
| ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SY44 @ SY45 ) @ ( cartesian_product2 @ SY46 @ SY47 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(66,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK5_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(67,plain,
! [SV9: $i,SV1: $i] :
( ( ~ ( in @ SV1 @ SV9 )
| ~ ( in @ SV9 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV10: $i,SV2: $i] :
( ( ( unordered_pair @ SV2 @ SV10 )
= ( unordered_pair @ SV10 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(69,plain,
! [SV11: $i,SV3: $i] :
( ( ( set_intersection2 @ SV3 @ SV11 )
= ( set_intersection2 @ SV11 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(70,plain,
! [SV12: $i,SV4: $i] :
( ( ( ordered_pair @ SV4 @ SV12 )
= ( unordered_pair @ ( unordered_pair @ SV4 @ SV12 ) @ ( singleton @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(71,plain,
! [SV13: $i,SV5: $i] :
( ( ~ ( empty @ ( ordered_pair @ SV5 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV14: $i,SV7: $i] :
( ( ~ ( disjoint @ SV7 @ SV14 )
| ( disjoint @ SV14 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV15: $i,SV8: $i] :
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ~ ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SY50 @ SY49 @ SY48 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SY50 @ SY49 @ SY48 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SY50 @ SY49 @ SY48 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SY49 ) ) )
| ~ ( in @ ( sK7_SY37 @ SY50 @ SY49 @ SY48 @ SV15 @ SV8 ) @ ( set_intersection2 @ SY48 @ SY50 ) ) )
| ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SY48 ) @ ( cartesian_product2 @ SY49 @ SY50 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(74,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK5_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(75,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(76,plain,
! [SV9: $i,SV1: $i] :
( ( ( ~ ( in @ SV1 @ SV9 ) )
= $true )
| ( ( ~ ( in @ SV9 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV13: $i,SV5: $i] :
( ( empty @ ( ordered_pair @ SV5 @ SV13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV14: $i,SV7: $i] :
( ( ( ~ ( disjoint @ SV7 @ SV14 ) )
= $true )
| ( ( disjoint @ SV14 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV15: $i,SV16: $i,SV8: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ~ ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SY52 @ SY51 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SY52 @ SY51 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SY52 @ SY51 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SY51 ) ) )
| ~ ( in @ ( sK7_SY37 @ SY52 @ SY51 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SY52 ) ) )
| ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SY51 @ SY52 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK5_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
! [SV9: $i,SV1: $i] :
( ( ( in @ SV1 @ SV9 )
= $false )
| ( ( ~ ( in @ SV9 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV14: $i,SV7: $i] :
( ( ( disjoint @ SV7 @ SV14 )
= $false )
| ( ( disjoint @ SV14 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV8: $i] :
( ( ! [SY53: $i] :
( ~ ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SY53 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SY53 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SY53 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) )
| ~ ( in @ ( sK7_SY37 @ SY53 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SY53 ) ) )
| ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SY53 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(85,plain,
! [SV18: $i] :
( ( ! [SY54: $i] :
( ( disjoint @ SV18 @ SY54 )
| ( in @ ( sK5_C @ SY54 @ SV18 ) @ ( set_intersection2 @ SV18 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV19: $i] :
( ( ! [SY55: $i] :
( ! [SY56: $i] :
~ ( in @ SY56 @ ( set_intersection2 @ SV19 @ SY55 ) )
| ~ ( disjoint @ SV19 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV1: $i,SV9: $i] :
( ( ( in @ SV9 @ SV1 )
= $false )
| ( ( in @ SV1 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ~ ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) )
| ~ ( in @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SV20 ) ) )
| ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV21: $i,SV18: $i] :
( ( ( disjoint @ SV18 @ SV21 )
| ( in @ ( sK5_C @ SV21 @ SV18 ) @ ( set_intersection2 @ SV18 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV22: $i,SV19: $i] :
( ( ! [SY57: $i] :
~ ( in @ SY57 @ ( set_intersection2 @ SV19 @ SV22 ) )
| ~ ( disjoint @ SV19 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) )
| ~ ( in @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SV20 ) ) ) )
= $true )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(92,plain,
! [SV21: $i,SV18: $i] :
( ( ( disjoint @ SV18 @ SV21 )
= $true )
| ( ( in @ ( sK5_C @ SV21 @ SV18 ) @ ( set_intersection2 @ SV18 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(93,plain,
! [SV22: $i,SV19: $i] :
( ( ( ! [SY57: $i] :
~ ( in @ SY57 @ ( set_intersection2 @ SV19 @ SV22 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV19 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) )
| ~ ( in @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SV20 ) ) )
= $false )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV22: $i,SV19: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ ( set_intersection2 @ SV19 @ SV22 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV19 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(96,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ( ~ ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(97,plain,
! [SV8: $i,SV15: $i,SV16: $i,SV17: $i,SV20: $i] :
( ( ( ~ ( in @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SV20 ) ) )
= $false )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(98,plain,
! [SV22: $i,SV19: $i,SV23: $i] :
( ( ( in @ SV23 @ ( set_intersection2 @ SV19 @ SV22 ) )
= $false )
| ( ( ~ ( disjoint @ SV19 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(99,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ( ~ ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) ) )
= $true )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(100,plain,
! [SV8: $i,SV15: $i,SV16: $i,SV17: $i,SV20: $i] :
( ( ( in @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SV20 ) )
= $true )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(101,plain,
! [SV23: $i,SV22: $i,SV19: $i] :
( ( ( disjoint @ SV19 @ SV22 )
= $false )
| ( ( in @ SV23 @ ( set_intersection2 @ SV19 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
| ~ ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) )
= $false )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(103,plain,
! [SV20: $i,SV17: $i,SV16: $i,SV15: $i,SV8: $i] :
( ( ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) )
= $false )
| ( ( in @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV16 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(104,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ( ( SV8
!= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) ) )
= $false )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(105,plain,
! [SV8: $i,SV15: $i,SV16: $i,SV17: $i,SV20: $i] :
( ( ( ~ ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) ) )
= $false )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(106,plain,
! [SV15: $i,SV16: $i,SV17: $i,SV20: $i,SV8: $i] :
( ( ( SV8
= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
= $true )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(107,plain,
! [SV8: $i,SV15: $i,SV16: $i,SV17: $i,SV20: $i] :
( ( ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) )
= $true )
| ( ( ~ ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(108,plain,
! [SV20: $i,SV17: $i,SV16: $i,SV15: $i,SV8: $i] :
( ( ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) )
= $false )
| ( ( SV8
= ( ordered_pair @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( sK7_SY37 @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(109,plain,
! [SV20: $i,SV17: $i,SV16: $i,SV15: $i,SV8: $i] :
( ( ( in @ SV8 @ ( set_intersection2 @ ( cartesian_product2 @ SV15 @ SV16 ) @ ( cartesian_product2 @ SV17 @ SV20 ) ) )
= $false )
| ( ( in @ ( sK6_F @ SV20 @ SV17 @ SV16 @ SV15 @ SV8 ) @ ( set_intersection2 @ SV15 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(110,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[46,109,108,103,101,92,87,83,77,70,69,68,64,63,61,60]) ).
thf(111,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 15:00:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 11
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:11,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:13,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.18/0.48
% 0.18/0.48 ********************************
% 0.18/0.48 * All subproblems solved! *
% 0.18/0.48 ********************************
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:110,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.49
% 0.18/0.49 %**** Beginning of derivation protocol ****
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.49
% 0.18/0.49 %**** End of derivation protocol ****
% 0.18/0.49 %**** no. of clauses in derivation: 111 ****
% 0.18/0.49 %**** clause counter: 110 ****
% 0.18/0.49
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:12,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:110,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------