TSTP Solution File: LCL156-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL156-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.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 : Sun Jul 17 12:21:01 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 103 ( 94 unt; 9 typ; 0 def)
% Number of atoms : 244 ( 161 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 536 ( 6 ~; 0 |; 0 &; 530 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 176 ( 0 ^ 176 !; 0 ?; 176 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_and,type,
and: $i > $i > $i ).
thf(tp_and_star,type,
and_star: $i > $i > $i ).
thf(tp_falsehood,type,
falsehood: $i ).
thf(tp_implies,type,
implies: $i > $i > $i ).
thf(tp_not,type,
not: $i > $i ).
thf(tp_or,type,
or: $i > $i > $i ).
thf(tp_truth,type,
truth: $i ).
thf(tp_x,type,
x: $i ).
thf(tp_xor,type,
xor: $i > $i > $i ).
thf(1,axiom,
( ( not @ truth )
= falsehood ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( and_star @ X @ Y )
= ( and_star @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( and_star @ ( and_star @ X @ Y ) @ Z )
= ( and_star @ X @ ( and_star @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_associativity) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( and_star @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_definition) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( xor @ X @ Y )
= ( xor @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( xor @ X @ Y )
= ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( and @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_commutativity) ).
thf(8,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( and @ ( and @ X @ Y ) @ Z )
= ( and @ X @ ( and @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_associativity) ).
thf(9,axiom,
! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
thf(10,axiom,
! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( or @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).
thf(11,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( or @ ( or @ X @ Y ) @ Z )
= ( or @ X @ ( or @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_associativity) ).
thf(12,axiom,
! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( implies @ ( not @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition) ).
thf(13,axiom,
! [X: $i,Y: $i] :
( ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) )
= truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
thf(14,axiom,
! [X: $i,Y: $i] :
( ( implies @ ( implies @ X @ Y ) @ Y )
= ( implies @ ( implies @ Y @ X ) @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
thf(15,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) )
= truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
thf(16,axiom,
! [X: $i] :
( ( implies @ truth @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
thf(17,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(18,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[17]) ).
thf(19,negated_conjecture,
( and_star @ x @ truth )
!= x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
thf(20,plain,
$false = $false,
inference(unfold_def,[status(thm)],[18]) ).
thf(21,plain,
( ( ( not @ truth )
= falsehood )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( ! [X: $i,Y: $i] :
( ( and_star @ X @ Y )
= ( and_star @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( and_star @ ( and_star @ X @ Y ) @ Z )
= ( and_star @ X @ ( and_star @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ( and_star @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i] :
( ( xor @ X @ Y )
= ( xor @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( xor @ X @ Y )
= ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( and @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( and @ ( and @ X @ Y ) @ Z )
= ( and @ X @ ( and @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( or @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( or @ ( or @ X @ Y ) @ Z )
= ( or @ X @ ( or @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( implies @ ( not @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) )
= truth ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ( implies @ ( implies @ X @ Y ) @ Y )
= ( implies @ ( implies @ Y @ X ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) )
= truth ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(36,plain,
( ( ! [X: $i] :
( ( implies @ truth @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(37,plain,
( ( ( ( and_star @ x @ truth )
!= x ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(38,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(39,plain,
( ( ( ( and_star @ x @ truth )
!= x ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(40,plain,
( ( ( ( and_star @ x @ truth )
!= x ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(41,plain,
( ( ! [X: $i] :
( ( implies @ truth @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) )
= truth ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i] :
( ( implies @ ( implies @ X @ Y ) @ Y )
= ( implies @ ( implies @ Y @ X ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) )
= truth ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( implies @ ( not @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( or @ ( or @ X @ Y ) @ Z )
= ( or @ X @ ( or @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i] :
( ( or @ X @ Y )
= ( or @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( and @ ( and @ X @ Y ) @ Z )
= ( and @ X @ ( and @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i] :
( ( and @ X @ Y )
= ( and @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ( xor @ X @ Y )
= ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i] :
( ( xor @ X @ Y )
= ( xor @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(53,plain,
( ( ! [X: $i,Y: $i] :
( ( and_star @ X @ Y )
= ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(54,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( and_star @ ( and_star @ X @ Y ) @ Z )
= ( and_star @ X @ ( and_star @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(55,plain,
( ( ! [X: $i,Y: $i] :
( ( and_star @ X @ Y )
= ( and_star @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(56,plain,
( ( ( not @ truth )
= falsehood )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(57,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(58,plain,
( ( ( and_star @ x @ truth )
= x )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(59,plain,
! [SV1: $i] :
( ( ( implies @ truth @ SV1 )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(60,plain,
! [SV2: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ( implies @ ( implies @ SV2 @ SY33 ) @ ( implies @ ( implies @ SY33 @ SY34 ) @ ( implies @ SV2 @ SY34 ) ) )
= truth ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(61,plain,
! [SV3: $i] :
( ( ! [SY35: $i] :
( ( implies @ ( implies @ SV3 @ SY35 ) @ SY35 )
= ( implies @ ( implies @ SY35 @ SV3 ) @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(62,plain,
! [SV4: $i] :
( ( ! [SY36: $i] :
( ( implies @ ( implies @ ( not @ SV4 ) @ ( not @ SY36 ) ) @ ( implies @ SY36 @ SV4 ) )
= truth ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(63,plain,
! [SV5: $i] :
( ( ! [SY37: $i] :
( ( or @ SV5 @ SY37 )
= ( implies @ ( not @ SV5 ) @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(64,plain,
! [SV6: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ( or @ ( or @ SV6 @ SY38 ) @ SY39 )
= ( or @ SV6 @ ( or @ SY38 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(65,plain,
! [SV7: $i] :
( ( ! [SY40: $i] :
( ( or @ SV7 @ SY40 )
= ( or @ SY40 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(66,plain,
! [SV8: $i] :
( ( ! [SY41: $i] :
( ( and @ SV8 @ SY41 )
= ( not @ ( or @ ( not @ SV8 ) @ ( not @ SY41 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(67,plain,
! [SV9: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ( and @ ( and @ SV9 @ SY42 ) @ SY43 )
= ( and @ SV9 @ ( and @ SY42 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(68,plain,
! [SV10: $i] :
( ( ! [SY44: $i] :
( ( and @ SV10 @ SY44 )
= ( and @ SY44 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(69,plain,
! [SV11: $i] :
( ( ! [SY45: $i] :
( ( xor @ SV11 @ SY45 )
= ( or @ ( and @ SV11 @ ( not @ SY45 ) ) @ ( and @ ( not @ SV11 ) @ SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(70,plain,
! [SV12: $i] :
( ( ! [SY46: $i] :
( ( xor @ SV12 @ SY46 )
= ( xor @ SY46 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(71,plain,
! [SV13: $i] :
( ( ! [SY47: $i] :
( ( and_star @ SV13 @ SY47 )
= ( not @ ( or @ ( not @ SV13 ) @ ( not @ SY47 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(72,plain,
! [SV14: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ( and_star @ ( and_star @ SV14 @ SY48 ) @ SY49 )
= ( and_star @ SV14 @ ( and_star @ SY48 @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(73,plain,
! [SV15: $i] :
( ( ! [SY50: $i] :
( ( and_star @ SV15 @ SY50 )
= ( and_star @ SY50 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(74,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(75,plain,
! [SV16: $i,SV2: $i] :
( ( ! [SY51: $i] :
( ( implies @ ( implies @ SV2 @ SV16 ) @ ( implies @ ( implies @ SV16 @ SY51 ) @ ( implies @ SV2 @ SY51 ) ) )
= truth ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(76,plain,
! [SV17: $i,SV3: $i] :
( ( ( implies @ ( implies @ SV3 @ SV17 ) @ SV17 )
= ( implies @ ( implies @ SV17 @ SV3 ) @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(77,plain,
! [SV18: $i,SV4: $i] :
( ( ( implies @ ( implies @ ( not @ SV4 ) @ ( not @ SV18 ) ) @ ( implies @ SV18 @ SV4 ) )
= truth )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(78,plain,
! [SV19: $i,SV5: $i] :
( ( ( or @ SV5 @ SV19 )
= ( implies @ ( not @ SV5 ) @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(79,plain,
! [SV20: $i,SV6: $i] :
( ( ! [SY52: $i] :
( ( or @ ( or @ SV6 @ SV20 ) @ SY52 )
= ( or @ SV6 @ ( or @ SV20 @ SY52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(80,plain,
! [SV21: $i,SV7: $i] :
( ( ( or @ SV7 @ SV21 )
= ( or @ SV21 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(81,plain,
! [SV22: $i,SV8: $i] :
( ( ( and @ SV8 @ SV22 )
= ( not @ ( or @ ( not @ SV8 ) @ ( not @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(82,plain,
! [SV23: $i,SV9: $i] :
( ( ! [SY53: $i] :
( ( and @ ( and @ SV9 @ SV23 ) @ SY53 )
= ( and @ SV9 @ ( and @ SV23 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(83,plain,
! [SV24: $i,SV10: $i] :
( ( ( and @ SV10 @ SV24 )
= ( and @ SV24 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(84,plain,
! [SV25: $i,SV11: $i] :
( ( ( xor @ SV11 @ SV25 )
= ( or @ ( and @ SV11 @ ( not @ SV25 ) ) @ ( and @ ( not @ SV11 ) @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(85,plain,
! [SV26: $i,SV12: $i] :
( ( ( xor @ SV12 @ SV26 )
= ( xor @ SV26 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(86,plain,
! [SV27: $i,SV13: $i] :
( ( ( and_star @ SV13 @ SV27 )
= ( not @ ( or @ ( not @ SV13 ) @ ( not @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV28: $i,SV14: $i] :
( ( ! [SY54: $i] :
( ( and_star @ ( and_star @ SV14 @ SV28 ) @ SY54 )
= ( and_star @ SV14 @ ( and_star @ SV28 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(88,plain,
! [SV29: $i,SV15: $i] :
( ( ( and_star @ SV15 @ SV29 )
= ( and_star @ SV29 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(89,plain,
! [SV30: $i,SV16: $i,SV2: $i] :
( ( ( implies @ ( implies @ SV2 @ SV16 ) @ ( implies @ ( implies @ SV16 @ SV30 ) @ ( implies @ SV2 @ SV30 ) ) )
= truth )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(90,plain,
! [SV31: $i,SV20: $i,SV6: $i] :
( ( ( or @ ( or @ SV6 @ SV20 ) @ SV31 )
= ( or @ SV6 @ ( or @ SV20 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV32: $i,SV23: $i,SV9: $i] :
( ( ( and @ ( and @ SV9 @ SV23 ) @ SV32 )
= ( and @ SV9 @ ( and @ SV23 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(92,plain,
! [SV33: $i,SV28: $i,SV14: $i] :
( ( ( and_star @ ( and_star @ SV14 @ SV28 ) @ SV33 )
= ( and_star @ SV14 @ ( and_star @ SV28 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(93,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[56,92,91,90,89,88,86,85,84,83,81,80,78,77,76,74,59,58]) ).
thf(94,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL156-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n008.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 3 11:34:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 17
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:17,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:19,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.19/0.48
% 0.19/0.48 ********************************
% 0.19/0.48 * All subproblems solved! *
% 0.19/0.48 ********************************
% 0.19/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:93,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.48
% 0.19/0.48 %**** Beginning of derivation protocol ****
% 0.19/0.48 % SZS output start CNFRefutation
% See solution above
% 0.19/0.48
% 0.19/0.48 %**** End of derivation protocol ****
% 0.19/0.48 %**** no. of clauses in derivation: 94 ****
% 0.19/0.48 %**** clause counter: 93 ****
% 0.19/0.48
% 0.19/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:93,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------