TSTP Solution File: MSC015-1.010 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MSC015-1.010 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.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 22:50:27 EDT 2022
% Result : Unsatisfiable 1.01s 1.19s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 113 ( 80 unt; 3 typ; 0 def)
% Number of atoms : 437 ( 116 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 2155 ( 90 ~; 95 |; 0 &;1970 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-10 aty)
% Number of variables : 510 ( 0 ^ 510 !; 0 ?; 510 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p,type,
p: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s0,type,
s0: $i ).
thf(tp_s1,type,
s1: $i ).
thf(1,axiom,
( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10) ).
thf(2,axiom,
! [X0: $i] :
( ~ ( p @ X0 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9) ).
thf(3,axiom,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 @ X1 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8) ).
thf(4,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7) ).
thf(5,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6) ).
thf(6,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ s1 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
thf(7,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ s0 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ s1 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
thf(8,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ s0 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ s1 @ s0 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
thf(9,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ s0 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ s1 @ s0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
thf(10,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ s0 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ s1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
thf(11,axiom,
p @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
thf(12,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(13,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,negated_conjecture,
~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(15,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(17,plain,
( ( ! [X0: $i] :
( ~ ( p @ X0 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(18,plain,
( ( ! [X0: $i,X1: $i] :
( ~ ( p @ X0 @ X1 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(20,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(21,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ s1 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(22,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ s0 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(23,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ s0 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(24,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ s0 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ s1 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(25,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ s0 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ s1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(26,plain,
( ( p @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
( ( ~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(28,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(29,plain,
( ( ~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(30,plain,
( ( p @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ s0 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ s1 ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(32,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ s0 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ s1 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(33,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ s0 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(34,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ s0 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(35,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ X4 @ s1 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(36,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ X3 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(37,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ X2 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(38,plain,
( ( ! [X0: $i,X1: $i] :
( ~ ( p @ X0 @ X1 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ X1 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(39,plain,
( ( ! [X0: $i] :
( ~ ( p @ X0 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ X0 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(40,plain,
( ( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(41,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(42,plain,
( ( p @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(43,plain,
! [SV1: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i,SY50: $i,SY51: $i,SY52: $i] :
( ~ ( p @ SV1 @ SY45 @ SY46 @ SY47 @ SY48 @ SY49 @ SY50 @ SY51 @ SY52 @ s0 )
| ( p @ SV1 @ SY45 @ SY46 @ SY47 @ SY48 @ SY49 @ SY50 @ SY51 @ SY52 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(44,plain,
! [SV2: $i] :
( ( ! [SY53: $i,SY54: $i,SY55: $i,SY56: $i,SY57: $i,SY58: $i,SY59: $i] :
( ~ ( p @ SV2 @ SY53 @ SY54 @ SY55 @ SY56 @ SY57 @ SY58 @ SY59 @ s0 @ s1 )
| ( p @ SV2 @ SY53 @ SY54 @ SY55 @ SY56 @ SY57 @ SY58 @ SY59 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(45,plain,
! [SV3: $i] :
( ( ! [SY60: $i,SY61: $i,SY62: $i,SY63: $i,SY64: $i,SY65: $i] :
( ~ ( p @ SV3 @ SY60 @ SY61 @ SY62 @ SY63 @ SY64 @ SY65 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SY60 @ SY61 @ SY62 @ SY63 @ SY64 @ SY65 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(46,plain,
! [SV4: $i] :
( ( ! [SY66: $i,SY67: $i,SY68: $i,SY69: $i,SY70: $i] :
( ~ ( p @ SV4 @ SY66 @ SY67 @ SY68 @ SY69 @ SY70 @ s0 @ s1 @ s1 @ s1 )
| ( p @ SV4 @ SY66 @ SY67 @ SY68 @ SY69 @ SY70 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(47,plain,
! [SV5: $i] :
( ( ! [SY71: $i,SY72: $i,SY73: $i,SY74: $i] :
( ~ ( p @ SV5 @ SY71 @ SY72 @ SY73 @ SY74 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV5 @ SY71 @ SY72 @ SY73 @ SY74 @ s1 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(48,plain,
! [SV6: $i] :
( ( ! [SY75: $i,SY76: $i,SY77: $i] :
( ~ ( p @ SV6 @ SY75 @ SY76 @ SY77 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV6 @ SY75 @ SY76 @ SY77 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(49,plain,
! [SV7: $i] :
( ( ! [SY78: $i,SY79: $i] :
( ~ ( p @ SV7 @ SY78 @ SY79 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV7 @ SY78 @ SY79 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(50,plain,
! [SV8: $i] :
( ( ! [SY80: $i] :
( ~ ( p @ SV8 @ SY80 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV8 @ SY80 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(51,plain,
! [SV9: $i] :
( ( ~ ( p @ SV9 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV9 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(52,plain,
( ( ( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(53,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(54,plain,
! [SV10: $i,SV1: $i] :
( ( ! [SY81: $i,SY82: $i,SY83: $i,SY84: $i,SY85: $i,SY86: $i,SY87: $i] :
( ~ ( p @ SV1 @ SV10 @ SY81 @ SY82 @ SY83 @ SY84 @ SY85 @ SY86 @ SY87 @ s0 )
| ( p @ SV1 @ SV10 @ SY81 @ SY82 @ SY83 @ SY84 @ SY85 @ SY86 @ SY87 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(55,plain,
! [SV11: $i,SV2: $i] :
( ( ! [SY88: $i,SY89: $i,SY90: $i,SY91: $i,SY92: $i,SY93: $i] :
( ~ ( p @ SV2 @ SV11 @ SY88 @ SY89 @ SY90 @ SY91 @ SY92 @ SY93 @ s0 @ s1 )
| ( p @ SV2 @ SV11 @ SY88 @ SY89 @ SY90 @ SY91 @ SY92 @ SY93 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(56,plain,
! [SV12: $i,SV3: $i] :
( ( ! [SY94: $i,SY95: $i,SY96: $i,SY97: $i,SY98: $i] :
( ~ ( p @ SV3 @ SV12 @ SY94 @ SY95 @ SY96 @ SY97 @ SY98 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SV12 @ SY94 @ SY95 @ SY96 @ SY97 @ SY98 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(57,plain,
! [SV13: $i,SV4: $i] :
( ( ! [SY99: $i,SY100: $i,SY101: $i,SY102: $i] :
( ~ ( p @ SV4 @ SV13 @ SY99 @ SY100 @ SY101 @ SY102 @ s0 @ s1 @ s1 @ s1 )
| ( p @ SV4 @ SV13 @ SY99 @ SY100 @ SY101 @ SY102 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(58,plain,
! [SV14: $i,SV5: $i] :
( ( ! [SY103: $i,SY104: $i,SY105: $i] :
( ~ ( p @ SV5 @ SV14 @ SY103 @ SY104 @ SY105 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV5 @ SV14 @ SY103 @ SY104 @ SY105 @ s1 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(59,plain,
! [SV15: $i,SV6: $i] :
( ( ! [SY106: $i,SY107: $i] :
( ~ ( p @ SV6 @ SV15 @ SY106 @ SY107 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV6 @ SV15 @ SY106 @ SY107 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(60,plain,
! [SV16: $i,SV7: $i] :
( ( ! [SY108: $i] :
( ~ ( p @ SV7 @ SV16 @ SY108 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV7 @ SV16 @ SY108 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(61,plain,
! [SV17: $i,SV8: $i] :
( ( ~ ( p @ SV8 @ SV17 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV8 @ SV17 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(62,plain,
! [SV9: $i] :
( ( ( ~ ( p @ SV9 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV9 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(63,plain,
( ( ( p @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(64,plain,
! [SV18: $i,SV10: $i,SV1: $i] :
( ( ! [SY109: $i,SY110: $i,SY111: $i,SY112: $i,SY113: $i,SY114: $i] :
( ~ ( p @ SV1 @ SV10 @ SV18 @ SY109 @ SY110 @ SY111 @ SY112 @ SY113 @ SY114 @ s0 )
| ( p @ SV1 @ SV10 @ SV18 @ SY109 @ SY110 @ SY111 @ SY112 @ SY113 @ SY114 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV19: $i,SV11: $i,SV2: $i] :
( ( ! [SY115: $i,SY116: $i,SY117: $i,SY118: $i,SY119: $i] :
( ~ ( p @ SV2 @ SV11 @ SV19 @ SY115 @ SY116 @ SY117 @ SY118 @ SY119 @ s0 @ s1 )
| ( p @ SV2 @ SV11 @ SV19 @ SY115 @ SY116 @ SY117 @ SY118 @ SY119 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(66,plain,
! [SV20: $i,SV12: $i,SV3: $i] :
( ( ! [SY120: $i,SY121: $i,SY122: $i,SY123: $i] :
( ~ ( p @ SV3 @ SV12 @ SV20 @ SY120 @ SY121 @ SY122 @ SY123 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SV12 @ SV20 @ SY120 @ SY121 @ SY122 @ SY123 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV21: $i,SV13: $i,SV4: $i] :
( ( ! [SY124: $i,SY125: $i,SY126: $i] :
( ~ ( p @ SV4 @ SV13 @ SV21 @ SY124 @ SY125 @ SY126 @ s0 @ s1 @ s1 @ s1 )
| ( p @ SV4 @ SV13 @ SV21 @ SY124 @ SY125 @ SY126 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV22: $i,SV14: $i,SV5: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ( p @ SV5 @ SV14 @ SV22 @ SY127 @ SY128 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV5 @ SV14 @ SV22 @ SY127 @ SY128 @ s1 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV23: $i,SV15: $i,SV6: $i] :
( ( ! [SY129: $i] :
( ~ ( p @ SV6 @ SV15 @ SV23 @ SY129 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV6 @ SV15 @ SV23 @ SY129 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(70,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ~ ( p @ SV7 @ SV16 @ SV24 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV7 @ SV16 @ SV24 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(71,plain,
! [SV17: $i,SV8: $i] :
( ( ( ~ ( p @ SV8 @ SV17 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV8 @ SV17 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV9: $i] :
( ( ( p @ SV9 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ SV9 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ! [SY130: $i,SY131: $i,SY132: $i,SY133: $i,SY134: $i] :
( ~ ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SY130 @ SY131 @ SY132 @ SY133 @ SY134 @ s0 )
| ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SY130 @ SY131 @ SY132 @ SY133 @ SY134 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV26: $i,SV19: $i,SV11: $i,SV2: $i] :
( ( ! [SY135: $i,SY136: $i,SY137: $i,SY138: $i] :
( ~ ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SY135 @ SY136 @ SY137 @ SY138 @ s0 @ s1 )
| ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SY135 @ SY136 @ SY137 @ SY138 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV27: $i,SV20: $i,SV12: $i,SV3: $i] :
( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SY139 @ SY140 @ SY141 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SY139 @ SY140 @ SY141 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV28: $i,SV21: $i,SV13: $i,SV4: $i] :
( ( ! [SY142: $i,SY143: $i] :
( ~ ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SY142 @ SY143 @ s0 @ s1 @ s1 @ s1 )
| ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SY142 @ SY143 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV29: $i,SV22: $i,SV14: $i,SV5: $i] :
( ( ! [SY144: $i] :
( ~ ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SY144 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SY144 @ s1 @ s0 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(78,plain,
! [SV30: $i,SV23: $i,SV15: $i,SV6: $i] :
( ( ~ ( p @ SV6 @ SV15 @ SV23 @ SV30 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV6 @ SV15 @ SV23 @ SV30 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(79,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( p @ SV7 @ SV16 @ SV24 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV7 @ SV16 @ SV24 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(80,plain,
! [SV17: $i,SV8: $i] :
( ( ( p @ SV8 @ SV17 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ SV8 @ SV17 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(81,plain,
! [SV31: $i,SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ! [SY145: $i,SY146: $i,SY147: $i,SY148: $i] :
( ~ ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SY145 @ SY146 @ SY147 @ SY148 @ s0 )
| ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SY145 @ SY146 @ SY147 @ SY148 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV32: $i,SV26: $i,SV19: $i,SV11: $i,SV2: $i] :
( ( ! [SY149: $i,SY150: $i,SY151: $i] :
( ~ ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SY149 @ SY150 @ SY151 @ s0 @ s1 )
| ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SY149 @ SY150 @ SY151 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(83,plain,
! [SV33: $i,SV27: $i,SV20: $i,SV12: $i,SV3: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ~ ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SY152 @ SY153 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SY152 @ SY153 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(84,plain,
! [SV34: $i,SV28: $i,SV21: $i,SV13: $i,SV4: $i] :
( ( ! [SY154: $i] :
( ~ ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SY154 @ s0 @ s1 @ s1 @ s1 )
| ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SY154 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(85,plain,
! [SV35: $i,SV29: $i,SV22: $i,SV14: $i,SV5: $i] :
( ( ~ ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SV35 @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SV35 @ s1 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(86,plain,
! [SV30: $i,SV23: $i,SV15: $i,SV6: $i] :
( ( ( ~ ( p @ SV6 @ SV15 @ SV23 @ SV30 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV6 @ SV15 @ SV23 @ SV30 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV24: $i,SV16: $i,SV7: $i] :
( ( ( p @ SV7 @ SV16 @ SV24 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ SV7 @ SV16 @ SV24 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV36: $i,SV31: $i,SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SY155 @ SY156 @ SY157 @ s0 )
| ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SY155 @ SY156 @ SY157 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(89,plain,
! [SV37: $i,SV32: $i,SV26: $i,SV19: $i,SV11: $i,SV2: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SY158 @ SY159 @ s0 @ s1 )
| ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SY158 @ SY159 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(90,plain,
! [SV38: $i,SV33: $i,SV27: $i,SV20: $i,SV12: $i,SV3: $i] :
( ( ! [SY160: $i] :
( ~ ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SY160 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SY160 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(91,plain,
! [SV39: $i,SV34: $i,SV28: $i,SV21: $i,SV13: $i,SV4: $i] :
( ( ~ ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SV39 @ s0 @ s1 @ s1 @ s1 )
| ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SV39 @ s1 @ s0 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(92,plain,
! [SV35: $i,SV29: $i,SV22: $i,SV14: $i,SV5: $i] :
( ( ( ~ ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SV35 @ s0 @ s1 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SV35 @ s1 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(93,plain,
! [SV30: $i,SV23: $i,SV15: $i,SV6: $i] :
( ( ( p @ SV6 @ SV15 @ SV23 @ SV30 @ s0 @ s1 @ s1 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ SV6 @ SV15 @ SV23 @ SV30 @ s1 @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(94,plain,
! [SV40: $i,SV36: $i,SV31: $i,SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ! [SY161: $i,SY162: $i] :
( ~ ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SY161 @ SY162 @ s0 )
| ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SY161 @ SY162 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(95,plain,
! [SV41: $i,SV37: $i,SV32: $i,SV26: $i,SV19: $i,SV11: $i,SV2: $i] :
( ( ! [SY163: $i] :
( ~ ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SY163 @ s0 @ s1 )
| ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SY163 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(96,plain,
! [SV42: $i,SV38: $i,SV33: $i,SV27: $i,SV20: $i,SV12: $i,SV3: $i] :
( ( ~ ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SV42 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SV42 @ s1 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(97,plain,
! [SV39: $i,SV34: $i,SV28: $i,SV21: $i,SV13: $i,SV4: $i] :
( ( ( ~ ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SV39 @ s0 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SV39 @ s1 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(98,plain,
! [SV35: $i,SV29: $i,SV22: $i,SV14: $i,SV5: $i] :
( ( ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SV35 @ s0 @ s1 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ SV5 @ SV14 @ SV22 @ SV29 @ SV35 @ s1 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(99,plain,
! [SV43: $i,SV40: $i,SV36: $i,SV31: $i,SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ! [SY164: $i] :
( ~ ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SY164 @ s0 )
| ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SY164 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV44: $i,SV41: $i,SV37: $i,SV32: $i,SV26: $i,SV19: $i,SV11: $i,SV2: $i] :
( ( ~ ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SV44 @ s0 @ s1 )
| ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SV44 @ s1 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV42: $i,SV38: $i,SV33: $i,SV27: $i,SV20: $i,SV12: $i,SV3: $i] :
( ( ( ~ ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SV42 @ s0 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SV42 @ s1 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(102,plain,
! [SV39: $i,SV34: $i,SV28: $i,SV21: $i,SV13: $i,SV4: $i] :
( ( ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SV39 @ s0 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ SV4 @ SV13 @ SV21 @ SV28 @ SV34 @ SV39 @ s1 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV45: $i,SV43: $i,SV40: $i,SV36: $i,SV31: $i,SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ~ ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SV45 @ s0 )
| ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SV45 @ s1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV44: $i,SV41: $i,SV37: $i,SV32: $i,SV26: $i,SV19: $i,SV11: $i,SV2: $i] :
( ( ( ~ ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SV44 @ s0 @ s1 ) )
= $true )
| ( ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SV44 @ s1 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV42: $i,SV38: $i,SV33: $i,SV27: $i,SV20: $i,SV12: $i,SV3: $i] :
( ( ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SV42 @ s0 @ s1 @ s1 )
= $false )
| ( ( p @ SV3 @ SV12 @ SV20 @ SV27 @ SV33 @ SV38 @ SV42 @ s1 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV45: $i,SV43: $i,SV40: $i,SV36: $i,SV31: $i,SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ( ~ ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SV45 @ s0 ) )
= $true )
| ( ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SV45 @ s1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV44: $i,SV41: $i,SV37: $i,SV32: $i,SV26: $i,SV19: $i,SV11: $i,SV2: $i] :
( ( ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SV44 @ s0 @ s1 )
= $false )
| ( ( p @ SV2 @ SV11 @ SV19 @ SV26 @ SV32 @ SV37 @ SV41 @ SV44 @ s1 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV45: $i,SV43: $i,SV40: $i,SV36: $i,SV31: $i,SV25: $i,SV18: $i,SV10: $i,SV1: $i] :
( ( ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SV45 @ s0 )
= $false )
| ( ( p @ SV1 @ SV10 @ SV18 @ SV25 @ SV31 @ SV36 @ SV40 @ SV43 @ SV45 @ s1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(109,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,108,107,105,102,98,93,87,80,72,63,53,42]) ).
thf(110,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC015-1.010 : TPTP v8.1.0. Released v3.5.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 1 16:30:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.37
% 0.20/0.37 No.of.Axioms: 12
% 0.20/0.37
% 0.20/0.37 Length.of.Defs: 0
% 0.20/0.37
% 0.20/0.37 Contains.Choice.Funs: false
% 0.20/0.40 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:14,loop_count:0,foatp_calls:0,translation:fof_full).......
% 1.01/1.19
% 1.01/1.19 ********************************
% 1.01/1.19 * All subproblems solved! *
% 1.01/1.19 ********************************
% 1.01/1.19 % SZS status Unsatisfiable 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:109,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.01/1.19
% 1.01/1.19 %**** Beginning of derivation protocol ****
% 1.01/1.19 % SZS output start CNFRefutation
% See solution above
% 1.01/1.19
% 1.01/1.19 %**** End of derivation protocol ****
% 1.01/1.19 %**** no. of clauses in derivation: 110 ****
% 1.01/1.19 %**** clause counter: 109 ****
% 1.01/1.19
% 1.01/1.19 % SZS status Unsatisfiable 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:109,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------