TSTP Solution File: SET821-2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET821-2 : 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 : n017.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 03:05:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 86 ( 53 unt; 10 typ; 0 def)
% Number of atoms : 315 ( 95 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 614 ( 54 ~; 71 |; 0 &; 489 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 175 ( 0 ^ 175 !; 0 ?; 175 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_c_insert,type,
c_insert: $i > $i > $i > $i ).
thf(tp_c_less,type,
c_less: $i > $i > $i > $o ).
thf(tp_c_uminus,type,
c_uminus: $i > $i > $i ).
thf(tp_class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
thf(tp_tc_IntDef_Oint,type,
tc_IntDef_Oint: $i ).
thf(tp_tc_set,type,
tc_set: $i > $i ).
thf(tp_v_a,type,
v_a: $i ).
thf(tp_v_b,type,
v_b: $i ).
thf(tp_v_c,type,
v_c: $i ).
thf(1,axiom,
class_Orderings_Oorder @ tc_IntDef_Oint,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
thf(2,axiom,
! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a )
| ( c_in @ V_a @ V_A @ T_a )
| ( V_a = V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
thf(3,axiom,
! [V_x: $i,V_B: $i,T_a: $i] : ( c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
thf(4,axiom,
! [V_a: $i,V_B: $i,T_a: $i,V_b: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
thf(5,axiom,
! [V_c: $i,V_A: $i,T_a: $i] :
( ( c_in @ V_c @ V_A @ T_a )
| ( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
thf(6,axiom,
! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
thf(7,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_less @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
thf(8,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(9,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,negated_conjecture,
! [V_U: $i] :
( ( c_in @ v_c @ V_U @ tc_IntDef_Oint )
| ~ ( c_in @ v_b @ V_U @ tc_IntDef_Oint )
| ( c_in @ v_a @ V_U @ tc_IntDef_Oint ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(11,negated_conjecture,
c_less @ v_b @ v_c @ tc_IntDef_Oint,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(12,negated_conjecture,
c_less @ v_a @ v_b @ tc_IntDef_Oint,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(13,plain,
$false = $false,
inference(unfold_def,[status(thm)],[9]) ).
thf(14,plain,
( ( class_Orderings_Oorder @ tc_IntDef_Oint )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a )
| ( c_in @ V_a @ V_A @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] : ( c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i,V_b: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ( c_in @ V_c @ V_A @ T_a )
| ( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_less @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [V_U: $i] :
( ( c_in @ v_c @ V_U @ tc_IntDef_Oint )
| ~ ( c_in @ v_b @ V_U @ tc_IntDef_Oint )
| ( c_in @ v_a @ V_U @ tc_IntDef_Oint ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(22,plain,
( ( c_less @ v_b @ v_c @ tc_IntDef_Oint )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(23,plain,
( ( c_less @ v_a @ v_b @ tc_IntDef_Oint )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(24,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a )
| ( V_a = V_b )
| ( c_in @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(26,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ! [V_b: $i] : ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(27,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] :
~ ( c_less @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(28,plain,
( ( c_less @ v_a @ v_b @ tc_IntDef_Oint )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(29,plain,
( ( c_less @ v_b @ v_c @ tc_IntDef_Oint )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(30,plain,
( ( ! [V_U: $i] :
( ( c_in @ v_c @ V_U @ tc_IntDef_Oint )
| ~ ( c_in @ v_b @ V_U @ tc_IntDef_Oint )
| ( c_in @ v_a @ V_U @ tc_IntDef_Oint ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(31,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] :
~ ( c_less @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(33,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ( c_in @ V_c @ V_A @ T_a )
| ( c_in @ V_c @ ( c_uminus @ V_A @ ( tc_set @ T_a ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(34,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_a @ V_B @ T_a )
| ! [V_b: $i] : ( c_in @ V_a @ ( c_insert @ V_b @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(35,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] : ( c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(36,plain,
( ( ! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a )
| ( V_a = V_b )
| ( c_in @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(37,plain,
( ( class_Orderings_Oorder @ tc_IntDef_Oint )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(38,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(39,plain,
! [SV1: $i] :
( ( ( c_in @ v_c @ SV1 @ tc_IntDef_Oint )
| ~ ( c_in @ v_b @ SV1 @ tc_IntDef_Oint )
| ( c_in @ v_a @ SV1 @ tc_IntDef_Oint ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(40,plain,
! [SV2: $i] :
( ( ~ ( class_Orderings_Oorder @ SV2 )
| ! [SY20: $i] :
~ ( c_less @ SY20 @ SY20 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(41,plain,
! [SV3: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ~ ( c_in @ SV3 @ SY21 @ SY22 )
| ~ ( c_in @ SV3 @ ( c_uminus @ SY21 @ ( tc_set @ SY22 ) ) @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(42,plain,
! [SV4: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ( c_in @ SV4 @ SY23 @ SY24 )
| ( c_in @ SV4 @ ( c_uminus @ SY23 @ ( tc_set @ SY24 ) ) @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(43,plain,
! [SV5: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ~ ( c_in @ SV5 @ SY25 @ SY26 )
| ! [SY27: $i] : ( c_in @ SV5 @ ( c_insert @ SY27 @ SY25 @ SY26 ) @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(44,plain,
! [SV6: $i] :
( ( ! [SY28: $i,SY29: $i] : ( c_in @ SV6 @ ( c_insert @ SV6 @ SY28 @ SY29 ) @ SY29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(45,plain,
! [SV7: $i] :
( ( ! [SY30: $i,SY31: $i,SY32: $i] :
( ~ ( c_in @ SV7 @ ( c_insert @ SY30 @ SY31 @ SY32 ) @ SY32 )
| ( SV7 = SY30 )
| ( c_in @ SV7 @ SY31 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(46,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV1: $i] :
( ( ( c_in @ v_c @ SV1 @ tc_IntDef_Oint )
= $true )
| ( ( ~ ( c_in @ v_b @ SV1 @ tc_IntDef_Oint )
| ( c_in @ v_a @ SV1 @ tc_IntDef_Oint ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(48,plain,
! [SV2: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV2 ) )
= $true )
| ( ( ! [SY20: $i] :
~ ( c_less @ SY20 @ SY20 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV8: $i,SV3: $i] :
( ( ! [SY33: $i] :
( ~ ( c_in @ SV3 @ SV8 @ SY33 )
| ~ ( c_in @ SV3 @ ( c_uminus @ SV8 @ ( tc_set @ SY33 ) ) @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY34: $i] :
( ( c_in @ SV4 @ SV9 @ SY34 )
| ( c_in @ SV4 @ ( c_uminus @ SV9 @ ( tc_set @ SY34 ) ) @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY35: $i] :
( ~ ( c_in @ SV5 @ SV10 @ SY35 )
| ! [SY36: $i] : ( c_in @ SV5 @ ( c_insert @ SY36 @ SV10 @ SY35 ) @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(52,plain,
! [SV11: $i,SV6: $i] :
( ( ! [SY37: $i] : ( c_in @ SV6 @ ( c_insert @ SV6 @ SV11 @ SY37 ) @ SY37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV12: $i,SV7: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ~ ( c_in @ SV7 @ ( c_insert @ SV12 @ SY38 @ SY39 ) @ SY39 )
| ( SV7 = SV12 )
| ( c_in @ SV7 @ SY38 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV1: $i] :
( ( ( ~ ( c_in @ v_b @ SV1 @ tc_IntDef_Oint ) )
= $true )
| ( ( c_in @ v_a @ SV1 @ tc_IntDef_Oint )
= $true )
| ( ( c_in @ v_c @ SV1 @ tc_IntDef_Oint )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV2: $i] :
( ( ( class_Orderings_Oorder @ SV2 )
= $false )
| ( ( ! [SY20: $i] :
~ ( c_less @ SY20 @ SY20 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV13: $i,SV8: $i,SV3: $i] :
( ( ~ ( c_in @ SV3 @ SV8 @ SV13 )
| ~ ( c_in @ SV3 @ ( c_uminus @ SV8 @ ( tc_set @ SV13 ) ) @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ( c_in @ SV4 @ SV9 @ SV14 )
| ( c_in @ SV4 @ ( c_uminus @ SV9 @ ( tc_set @ SV14 ) ) @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ( c_in @ SV5 @ SV10 @ SV15 )
| ! [SY40: $i] : ( c_in @ SV5 @ ( c_insert @ SY40 @ SV10 @ SV15 ) @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV16: $i,SV11: $i,SV6: $i] :
( ( c_in @ SV6 @ ( c_insert @ SV6 @ SV11 @ SV16 ) @ SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV17: $i,SV12: $i,SV7: $i] :
( ( ! [SY41: $i] :
( ~ ( c_in @ SV7 @ ( c_insert @ SV12 @ SV17 @ SY41 ) @ SY41 )
| ( SV7 = SV12 )
| ( c_in @ SV7 @ SV17 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV1: $i] :
( ( ( c_in @ v_b @ SV1 @ tc_IntDef_Oint )
= $false )
| ( ( c_in @ v_a @ SV1 @ tc_IntDef_Oint )
= $true )
| ( ( c_in @ v_c @ SV1 @ tc_IntDef_Oint )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV2: $i,SV18: $i] :
( ( ( ~ ( c_less @ SV18 @ SV18 @ SV2 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV13: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( c_in @ SV3 @ SV8 @ SV13 ) )
= $true )
| ( ( ~ ( c_in @ SV3 @ ( c_uminus @ SV8 @ ( tc_set @ SV13 ) ) @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ( c_in @ SV4 @ SV9 @ SV14 )
= $true )
| ( ( c_in @ SV4 @ ( c_uminus @ SV9 @ ( tc_set @ SV14 ) ) @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ SV10 @ SV15 ) )
= $true )
| ( ( ! [SY40: $i] : ( c_in @ SV5 @ ( c_insert @ SY40 @ SV10 @ SV15 ) @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV19: $i,SV17: $i,SV12: $i,SV7: $i] :
( ( ~ ( c_in @ SV7 @ ( c_insert @ SV12 @ SV17 @ SV19 ) @ SV19 )
| ( SV7 = SV12 )
| ( c_in @ SV7 @ SV17 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV2: $i,SV18: $i] :
( ( ( c_less @ SV18 @ SV18 @ SV2 )
= $false )
| ( ( class_Orderings_Oorder @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV13: $i,SV8: $i,SV3: $i] :
( ( ( c_in @ SV3 @ SV8 @ SV13 )
= $false )
| ( ( ~ ( c_in @ SV3 @ ( c_uminus @ SV8 @ ( tc_set @ SV13 ) ) @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( c_in @ SV5 @ SV10 @ SV15 )
= $false )
| ( ( ! [SY40: $i] : ( c_in @ SV5 @ ( c_insert @ SY40 @ SV10 @ SV15 ) @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV19: $i,SV17: $i,SV12: $i,SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ ( c_insert @ SV12 @ SV17 @ SV19 ) @ SV19 ) )
= $true )
| ( ( ( SV7 = SV12 )
| ( c_in @ SV7 @ SV17 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV13: $i,SV8: $i,SV3: $i] :
( ( ( c_in @ SV3 @ ( c_uminus @ SV8 @ ( tc_set @ SV13 ) ) @ SV13 )
= $false )
| ( ( c_in @ SV3 @ SV8 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(72,plain,
! [SV15: $i,SV10: $i,SV20: $i,SV5: $i] :
( ( ( c_in @ SV5 @ ( c_insert @ SV20 @ SV10 @ SV15 ) @ SV15 )
= $true )
| ( ( c_in @ SV5 @ SV10 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV19: $i,SV17: $i,SV12: $i,SV7: $i] :
( ( ( c_in @ SV7 @ ( c_insert @ SV12 @ SV17 @ SV19 ) @ SV19 )
= $false )
| ( ( ( SV7 = SV12 )
| ( c_in @ SV7 @ SV17 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(74,plain,
! [SV19: $i,SV17: $i,SV12: $i,SV7: $i] :
( ( ( SV7 = SV12 )
= $true )
| ( ( c_in @ SV7 @ SV17 @ SV19 )
= $true )
| ( ( c_in @ SV7 @ ( c_insert @ SV12 @ SV17 @ SV19 ) @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(75,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,74,72,71,67,64,61,59,46,37,29]) ).
thf(76,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 01:44:33 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34
% 0.11/0.34 No.of.Axioms: 10
% 0.11/0.34
% 0.11/0.34 Length.of.Defs: 0
% 0.11/0.34
% 0.11/0.34 Contains.Choice.Funs: false
% 0.11/0.35 (rf:0,axioms:10,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:12,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.18/0.40
% 0.18/0.40 ********************************
% 0.18/0.40 * All subproblems solved! *
% 0.18/0.40 ********************************
% 0.18/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:75,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.41
% 0.18/0.41 %**** Beginning of derivation protocol ****
% 0.18/0.41 % SZS output start CNFRefutation
% See solution above
% 0.18/0.41
% 0.18/0.41 %**** End of derivation protocol ****
% 0.18/0.41 %**** no. of clauses in derivation: 76 ****
% 0.18/0.41 %**** clause counter: 75 ****
% 0.18/0.41
% 0.18/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,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:75,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------