TSTP Solution File: SYN101-1.002.002 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.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 : Thu Jul 21 08:23:37 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 134 ( 72 unt; 10 typ; 0 def)
% Number of atoms : 634 ( 169 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 813 ( 149 ~; 172 |; 0 &; 492 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 200 ( 0 ^ 200 !; 0 ?; 200 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_nq_1,type,
nq_1: $i > $o ).
thf(tp_nq_2,type,
nq_2: $i > $o ).
thf(tp_p_1_1,type,
p_1_1: $i > $i > $o ).
thf(tp_p_1_2,type,
p_1_2: $i > $i > $o ).
thf(tp_p_2_2,type,
p_2_2: $i > $i > $o ).
thf(tp_q_1_1,type,
q_1_1: $i > $i > $o ).
thf(tp_q_1_2,type,
q_1_2: $i > $i > $o ).
thf(tp_q_2_2,type,
q_2_2: $i > $i > $o ).
thf(1,axiom,
nq_2 @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_4) ).
thf(2,axiom,
nq_2 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).
thf(3,axiom,
nq_1 @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_2) ).
thf(4,axiom,
nq_1 @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).
thf(5,axiom,
! [X_1: $i,X_2: $i] :
( ( q_2_2 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_4) ).
thf(6,axiom,
! [X_1: $i,X_2: $i] :
( ( p_2_2 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_3) ).
thf(7,axiom,
! [X_1: $i,X_2: $i] :
( ( q_1_1 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_2) ).
thf(8,axiom,
! [X_1: $i,X_2: $i] :
( ( p_1_1 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_1) ).
thf(9,axiom,
! [X_1: $i,X_2: $i] :
( ( q_2_2 @ X_1 @ X_2 )
| ~ ( q_1_2 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type22_2) ).
thf(10,axiom,
! [X_1: $i,X_2: $i] :
( ( p_2_2 @ X_1 @ X_2 )
| ~ ( p_1_2 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type22_1) ).
thf(11,axiom,
! [X_1: $i,X_2: $i] :
( ( q_1_1 @ X_1 @ X_2 )
| ~ ( q_1_2 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type21_2) ).
thf(12,axiom,
! [X_1: $i,X_2: $i] :
( ( p_1_1 @ X_1 @ X_2 )
| ~ ( p_1_2 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type21_1) ).
thf(13,axiom,
! [X_1: $i,X_2: $i] :
( ( q_1_2 @ X_1 @ X_2 )
| ~ ( q_2_2 @ X_1 @ X_2 )
| ~ ( p_1_1 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type12_2) ).
thf(14,axiom,
! [X_1: $i,X_2: $i] :
( ( q_1_2 @ X_1 @ X_2 )
| ~ ( p_2_2 @ X_1 @ X_2 )
| ~ ( q_1_1 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type12_1) ).
thf(15,axiom,
! [X_1: $i,X_2: $i] :
( ( p_1_2 @ X_1 @ X_2 )
| ~ ( q_2_2 @ X_1 @ X_2 )
| ~ ( q_1_1 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_2) ).
thf(16,axiom,
! [X_1: $i,X_2: $i] :
( ( p_1_2 @ X_1 @ X_2 )
| ~ ( p_2_2 @ X_1 @ X_2 )
| ~ ( p_1_1 @ X_1 @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_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,
~ ( p_1_2 @ a @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_goal_1) ).
thf(20,plain,
$false = $false,
inference(unfold_def,[status(thm)],[18]) ).
thf(21,plain,
( ( nq_2 @ b )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( nq_2 @ a )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( nq_1 @ b )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( nq_1 @ a )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_2_2 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_2_2 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_1 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_1 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_2_2 @ X_1 @ X_2 )
| ~ ( q_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_2_2 @ X_1 @ X_2 )
| ~ ( p_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_1 @ X_1 @ X_2 )
| ~ ( q_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_1 @ X_1 @ X_2 )
| ~ ( p_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_2 @ X_1 @ X_2 )
| ~ ( q_2_2 @ X_1 @ X_2 )
| ~ ( p_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_2 @ X_1 @ X_2 )
| ~ ( p_2_2 @ X_1 @ X_2 )
| ~ ( q_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_2 @ X_1 @ X_2 )
| ~ ( q_2_2 @ X_1 @ X_2 )
| ~ ( q_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(36,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_2 @ X_1 @ X_2 )
| ~ ( p_2_2 @ X_1 @ X_2 )
| ~ ( p_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(37,plain,
( ( ~ ( p_1_2 @ a @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(38,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(39,plain,
( ( ~ ( p_1_2 @ a @ a ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(40,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_2 @ X_1 @ X_2 )
| ~ ( p_2_2 @ X_1 @ X_2 )
| ~ ( p_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(41,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_2 @ X_1 @ X_2 )
| ~ ( q_2_2 @ X_1 @ X_2 )
| ~ ( q_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(42,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_2 @ X_1 @ X_2 )
| ~ ( p_2_2 @ X_1 @ X_2 )
| ~ ( q_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(43,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_2 @ X_1 @ X_2 )
| ~ ( q_2_2 @ X_1 @ X_2 )
| ~ ( p_1_1 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(44,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_1 @ X_1 @ X_2 )
| ~ ( p_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(45,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_1 @ X_1 @ X_2 )
| ~ ( q_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(46,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_2_2 @ X_1 @ X_2 )
| ~ ( p_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(47,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_2_2 @ X_1 @ X_2 )
| ~ ( q_1_2 @ X_1 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(48,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_1_1 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(49,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_1_1 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(50,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( p_2_2 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(51,plain,
( ( ! [X_1: $i,X_2: $i] :
( ( q_2_2 @ X_1 @ X_2 )
| ~ ( nq_1 @ X_1 )
| ~ ( nq_2 @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(52,plain,
( ( nq_1 @ a )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(53,plain,
( ( nq_1 @ b )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(54,plain,
( ( nq_2 @ a )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(55,plain,
( ( nq_2 @ b )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(56,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(57,plain,
( ( p_1_2 @ a @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(58,plain,
! [SV1: $i] :
( ( ! [SY24: $i] :
( ( p_1_2 @ SV1 @ SY24 )
| ~ ( p_2_2 @ SV1 @ SY24 )
| ~ ( p_1_1 @ SV1 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(59,plain,
! [SV2: $i] :
( ( ! [SY25: $i] :
( ( p_1_2 @ SV2 @ SY25 )
| ~ ( q_2_2 @ SV2 @ SY25 )
| ~ ( q_1_1 @ SV2 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(60,plain,
! [SV3: $i] :
( ( ! [SY26: $i] :
( ( q_1_2 @ SV3 @ SY26 )
| ~ ( p_2_2 @ SV3 @ SY26 )
| ~ ( q_1_1 @ SV3 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(61,plain,
! [SV4: $i] :
( ( ! [SY27: $i] :
( ( q_1_2 @ SV4 @ SY27 )
| ~ ( q_2_2 @ SV4 @ SY27 )
| ~ ( p_1_1 @ SV4 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(62,plain,
! [SV5: $i] :
( ( ! [SY28: $i] :
( ( p_1_1 @ SV5 @ SY28 )
| ~ ( p_1_2 @ SV5 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(63,plain,
! [SV6: $i] :
( ( ! [SY29: $i] :
( ( q_1_1 @ SV6 @ SY29 )
| ~ ( q_1_2 @ SV6 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(64,plain,
! [SV7: $i] :
( ( ! [SY30: $i] :
( ( p_2_2 @ SV7 @ SY30 )
| ~ ( p_1_2 @ SV7 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(65,plain,
! [SV8: $i] :
( ( ! [SY31: $i] :
( ( q_2_2 @ SV8 @ SY31 )
| ~ ( q_1_2 @ SV8 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(66,plain,
! [SV9: $i] :
( ( ! [SY32: $i] :
( ( p_1_1 @ SV9 @ SY32 )
| ~ ( nq_1 @ SV9 )
| ~ ( nq_2 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(67,plain,
! [SV10: $i] :
( ( ! [SY33: $i] :
( ( q_1_1 @ SV10 @ SY33 )
| ~ ( nq_1 @ SV10 )
| ~ ( nq_2 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(68,plain,
! [SV11: $i] :
( ( ! [SY34: $i] :
( ( p_2_2 @ SV11 @ SY34 )
| ~ ( nq_1 @ SV11 )
| ~ ( nq_2 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(69,plain,
! [SV12: $i] :
( ( ! [SY35: $i] :
( ( q_2_2 @ SV12 @ SY35 )
| ~ ( nq_1 @ SV12 )
| ~ ( nq_2 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(70,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV13: $i,SV1: $i] :
( ( ( p_1_2 @ SV1 @ SV13 )
| ~ ( p_2_2 @ SV1 @ SV13 )
| ~ ( p_1_1 @ SV1 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(72,plain,
! [SV14: $i,SV2: $i] :
( ( ( p_1_2 @ SV2 @ SV14 )
| ~ ( q_2_2 @ SV2 @ SV14 )
| ~ ( q_1_1 @ SV2 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(73,plain,
! [SV15: $i,SV3: $i] :
( ( ( q_1_2 @ SV3 @ SV15 )
| ~ ( p_2_2 @ SV3 @ SV15 )
| ~ ( q_1_1 @ SV3 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(74,plain,
! [SV16: $i,SV4: $i] :
( ( ( q_1_2 @ SV4 @ SV16 )
| ~ ( q_2_2 @ SV4 @ SV16 )
| ~ ( p_1_1 @ SV4 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(75,plain,
! [SV17: $i,SV5: $i] :
( ( ( p_1_1 @ SV5 @ SV17 )
| ~ ( p_1_2 @ SV5 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(76,plain,
! [SV18: $i,SV6: $i] :
( ( ( q_1_1 @ SV6 @ SV18 )
| ~ ( q_1_2 @ SV6 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(77,plain,
! [SV19: $i,SV7: $i] :
( ( ( p_2_2 @ SV7 @ SV19 )
| ~ ( p_1_2 @ SV7 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(78,plain,
! [SV20: $i,SV8: $i] :
( ( ( q_2_2 @ SV8 @ SV20 )
| ~ ( q_1_2 @ SV8 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(79,plain,
! [SV21: $i,SV9: $i] :
( ( ( p_1_1 @ SV9 @ SV21 )
| ~ ( nq_1 @ SV9 )
| ~ ( nq_2 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(80,plain,
! [SV22: $i,SV10: $i] :
( ( ( q_1_1 @ SV10 @ SV22 )
| ~ ( nq_1 @ SV10 )
| ~ ( nq_2 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(81,plain,
! [SV23: $i,SV11: $i] :
( ( ( p_2_2 @ SV11 @ SV23 )
| ~ ( nq_1 @ SV11 )
| ~ ( nq_2 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(82,plain,
! [SV24: $i,SV12: $i] :
( ( ( q_2_2 @ SV12 @ SV24 )
| ~ ( nq_1 @ SV12 )
| ~ ( nq_2 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV13: $i,SV1: $i] :
( ( ( p_1_2 @ SV1 @ SV13 )
= $true )
| ( ( ~ ( p_2_2 @ SV1 @ SV13 )
| ~ ( p_1_1 @ SV1 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV14: $i,SV2: $i] :
( ( ( p_1_2 @ SV2 @ SV14 )
= $true )
| ( ( ~ ( q_2_2 @ SV2 @ SV14 )
| ~ ( q_1_1 @ SV2 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV15: $i,SV3: $i] :
( ( ( q_1_2 @ SV3 @ SV15 )
= $true )
| ( ( ~ ( p_2_2 @ SV3 @ SV15 )
| ~ ( q_1_1 @ SV3 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV16: $i,SV4: $i] :
( ( ( q_1_2 @ SV4 @ SV16 )
= $true )
| ( ( ~ ( q_2_2 @ SV4 @ SV16 )
| ~ ( p_1_1 @ SV4 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV17: $i,SV5: $i] :
( ( ( p_1_1 @ SV5 @ SV17 )
= $true )
| ( ( ~ ( p_1_2 @ SV5 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV18: $i,SV6: $i] :
( ( ( q_1_1 @ SV6 @ SV18 )
= $true )
| ( ( ~ ( q_1_2 @ SV6 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV19: $i,SV7: $i] :
( ( ( p_2_2 @ SV7 @ SV19 )
= $true )
| ( ( ~ ( p_1_2 @ SV7 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV20: $i,SV8: $i] :
( ( ( q_2_2 @ SV8 @ SV20 )
= $true )
| ( ( ~ ( q_1_2 @ SV8 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV21: $i,SV9: $i] :
( ( ( p_1_1 @ SV9 @ SV21 )
= $true )
| ( ( ~ ( nq_1 @ SV9 )
| ~ ( nq_2 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV22: $i,SV10: $i] :
( ( ( q_1_1 @ SV10 @ SV22 )
= $true )
| ( ( ~ ( nq_1 @ SV10 )
| ~ ( nq_2 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV23: $i,SV11: $i] :
( ( ( p_2_2 @ SV11 @ SV23 )
= $true )
| ( ( ~ ( nq_1 @ SV11 )
| ~ ( nq_2 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV24: $i,SV12: $i] :
( ( ( q_2_2 @ SV12 @ SV24 )
= $true )
| ( ( ~ ( nq_1 @ SV12 )
| ~ ( nq_2 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV13: $i,SV1: $i] :
( ( ( ~ ( p_2_2 @ SV1 @ SV13 ) )
= $true )
| ( ( ~ ( p_1_1 @ SV1 @ SV13 ) )
= $true )
| ( ( p_1_2 @ SV1 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV14: $i,SV2: $i] :
( ( ( ~ ( q_2_2 @ SV2 @ SV14 ) )
= $true )
| ( ( ~ ( q_1_1 @ SV2 @ SV14 ) )
= $true )
| ( ( p_1_2 @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV15: $i,SV3: $i] :
( ( ( ~ ( p_2_2 @ SV3 @ SV15 ) )
= $true )
| ( ( ~ ( q_1_1 @ SV3 @ SV15 ) )
= $true )
| ( ( q_1_2 @ SV3 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV16: $i,SV4: $i] :
( ( ( ~ ( q_2_2 @ SV4 @ SV16 ) )
= $true )
| ( ( ~ ( p_1_1 @ SV4 @ SV16 ) )
= $true )
| ( ( q_1_2 @ SV4 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV17: $i,SV5: $i] :
( ( ( p_1_2 @ SV5 @ SV17 )
= $false )
| ( ( p_1_1 @ SV5 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV18: $i,SV6: $i] :
( ( ( q_1_2 @ SV6 @ SV18 )
= $false )
| ( ( q_1_1 @ SV6 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV19: $i,SV7: $i] :
( ( ( p_1_2 @ SV7 @ SV19 )
= $false )
| ( ( p_2_2 @ SV7 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(102,plain,
! [SV20: $i,SV8: $i] :
( ( ( q_1_2 @ SV8 @ SV20 )
= $false )
| ( ( q_2_2 @ SV8 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( nq_1 @ SV9 ) )
= $true )
| ( ( ~ ( nq_2 @ SV21 ) )
= $true )
| ( ( p_1_1 @ SV9 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV22: $i,SV10: $i] :
( ( ( ~ ( nq_1 @ SV10 ) )
= $true )
| ( ( ~ ( nq_2 @ SV22 ) )
= $true )
| ( ( q_1_1 @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV23: $i,SV11: $i] :
( ( ( ~ ( nq_1 @ SV11 ) )
= $true )
| ( ( ~ ( nq_2 @ SV23 ) )
= $true )
| ( ( p_2_2 @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV24: $i,SV12: $i] :
( ( ( ~ ( nq_1 @ SV12 ) )
= $true )
| ( ( ~ ( nq_2 @ SV24 ) )
= $true )
| ( ( q_2_2 @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV13: $i,SV1: $i] :
( ( ( p_2_2 @ SV1 @ SV13 )
= $false )
| ( ( ~ ( p_1_1 @ SV1 @ SV13 ) )
= $true )
| ( ( p_1_2 @ SV1 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV14: $i,SV2: $i] :
( ( ( q_2_2 @ SV2 @ SV14 )
= $false )
| ( ( ~ ( q_1_1 @ SV2 @ SV14 ) )
= $true )
| ( ( p_1_2 @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV15: $i,SV3: $i] :
( ( ( p_2_2 @ SV3 @ SV15 )
= $false )
| ( ( ~ ( q_1_1 @ SV3 @ SV15 ) )
= $true )
| ( ( q_1_2 @ SV3 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV16: $i,SV4: $i] :
( ( ( q_2_2 @ SV4 @ SV16 )
= $false )
| ( ( ~ ( p_1_1 @ SV4 @ SV16 ) )
= $true )
| ( ( q_1_2 @ SV4 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV21: $i,SV9: $i] :
( ( ( nq_1 @ SV9 )
= $false )
| ( ( ~ ( nq_2 @ SV21 ) )
= $true )
| ( ( p_1_1 @ SV9 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV22: $i,SV10: $i] :
( ( ( nq_1 @ SV10 )
= $false )
| ( ( ~ ( nq_2 @ SV22 ) )
= $true )
| ( ( q_1_1 @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(113,plain,
! [SV23: $i,SV11: $i] :
( ( ( nq_1 @ SV11 )
= $false )
| ( ( ~ ( nq_2 @ SV23 ) )
= $true )
| ( ( p_2_2 @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(114,plain,
! [SV24: $i,SV12: $i] :
( ( ( nq_1 @ SV12 )
= $false )
| ( ( ~ ( nq_2 @ SV24 ) )
= $true )
| ( ( q_2_2 @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(115,plain,
! [SV13: $i,SV1: $i] :
( ( ( p_1_1 @ SV1 @ SV13 )
= $false )
| ( ( p_2_2 @ SV1 @ SV13 )
= $false )
| ( ( p_1_2 @ SV1 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV14: $i,SV2: $i] :
( ( ( q_1_1 @ SV2 @ SV14 )
= $false )
| ( ( q_2_2 @ SV2 @ SV14 )
= $false )
| ( ( p_1_2 @ SV2 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(117,plain,
! [SV15: $i,SV3: $i] :
( ( ( q_1_1 @ SV3 @ SV15 )
= $false )
| ( ( p_2_2 @ SV3 @ SV15 )
= $false )
| ( ( q_1_2 @ SV3 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV16: $i,SV4: $i] :
( ( ( p_1_1 @ SV4 @ SV16 )
= $false )
| ( ( q_2_2 @ SV4 @ SV16 )
= $false )
| ( ( q_1_2 @ SV4 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(119,plain,
! [SV9: $i,SV21: $i] :
( ( ( nq_2 @ SV21 )
= $false )
| ( ( nq_1 @ SV9 )
= $false )
| ( ( p_1_1 @ SV9 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(120,plain,
! [SV10: $i,SV22: $i] :
( ( ( nq_2 @ SV22 )
= $false )
| ( ( nq_1 @ SV10 )
= $false )
| ( ( q_1_1 @ SV10 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV11: $i,SV23: $i] :
( ( ( nq_2 @ SV23 )
= $false )
| ( ( nq_1 @ SV11 )
= $false )
| ( ( p_2_2 @ SV11 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV12: $i,SV24: $i] :
( ( ( nq_2 @ SV24 )
= $false )
| ( ( nq_1 @ SV12 )
= $false )
| ( ( q_2_2 @ SV12 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(123,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[52,122,121,120,119,118,117,116,115,102,101,100,99,70,57,55,54,53]) ).
thf(124,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 05:46:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 17
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.35 (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)....
% 0.13/0.39
% 0.13/0.39 ********************************
% 0.13/0.39 * All subproblems solved! *
% 0.13/0.39 ********************************
% 0.13/0.39 % 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:123,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.39
% 0.13/0.39 %**** Beginning of derivation protocol ****
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
% 0.13/0.39
% 0.13/0.39 %**** End of derivation protocol ****
% 0.13/0.39 %**** no. of clauses in derivation: 124 ****
% 0.13/0.39 %**** clause counter: 123 ****
% 0.13/0.39
% 0.13/0.39 % 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:123,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------