TSTP Solution File: SWV274-2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV274-2 : 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 : n027.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 : Wed Jul 20 20:11:31 EDT 2022
% Result : Unsatisfiable 0.22s 0.43s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 72 ( 44 unt; 10 typ; 0 def)
% Number of atoms : 264 ( 79 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 600 ( 44 ~; 66 |; 0 &; 490 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 136 ( 0 ^ 136 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Main_OsubsetI__1,type,
c_Main_OsubsetI__1: $i > $i > $i > $i ).
thf(tp_c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
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_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
thf(tp_tc_set,type,
tc_set: $i > $i ).
thf(tp_v_H,type,
v_H: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(tp_v_Y,type,
v_Y: $i ).
thf(1,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a )
| ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
thf(2,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a )
| ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
thf(3,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(4,axiom,
! [V_X: $i,V_G: $i,V_H: $i] :
( ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__trans_0) ).
thf(5,axiom,
! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
thf(6,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(7,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,negated_conjecture,
~ ( c_in @ v_Y @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(9,negated_conjecture,
c_in @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(10,negated_conjecture,
c_in @ v_Y @ ( c_Message_Osynth @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(11,plain,
$false = $false,
inference(unfold_def,[status(thm)],[7]) ).
thf(12,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a )
| ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a )
| ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,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)],[3]) ).
thf(15,plain,
( ( ! [V_X: $i,V_G: $i,V_H: $i] :
( ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ~ ( c_in @ v_Y @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(18,plain,
( ( c_in @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(19,plain,
( ( c_in @ v_Y @ ( c_Message_Osynth @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(20,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,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)],[14]) ).
thf(22,plain,
( ( ! [V_X: $i,V_G: $i] :
( ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg )
| ! [V_H: $i] :
( ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(23,plain,
( ( c_in @ v_Y @ ( c_Message_Osynth @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(24,plain,
( ( c_in @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(25,plain,
( ( ~ ( c_in @ v_Y @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(26,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(27,plain,
( ( ! [V_X: $i,V_G: $i] :
( ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg )
| ! [V_H: $i] :
( ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(28,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)],[21]) ).
thf(29,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a )
| ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(30,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a )
| ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(31,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(32,plain,
( ( c_in @ v_Y @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV1: $i] :
( ( ! [SY15: $i] :
( ~ ( c_in @ SV1 @ SY15 @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Message_Osynth @ SY15 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV2: $i] :
( ( ! [SY16: $i] :
( ~ ( c_in @ SV2 @ ( c_Message_Osynth @ SY16 ) @ tc_Message_Omsg )
| ! [SY17: $i] :
( ~ ( c_lessequals @ SY16 @ ( c_Message_Osynth @ SY17 ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ SV2 @ ( c_Message_Osynth @ SY17 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV3: $i] :
( ( ! [SY18: $i,SY19: $i,SY20: $i] :
( ~ ( c_in @ SV3 @ ( c_insert @ SY18 @ SY19 @ SY20 ) @ SY20 )
| ( SV3 = SY18 )
| ( c_in @ SV3 @ SY19 @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV4: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ SV4 @ SY21 @ SY22 ) @ SV4 @ SY22 )
| ( c_lessequals @ SV4 @ SY21 @ ( tc_set @ SY22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV5: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV5 @ SY23 @ SY24 ) @ SY23 @ SY24 )
| ( c_lessequals @ SV5 @ SY23 @ ( tc_set @ SY24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(39,plain,
! [SV6: $i,SV1: $i] :
( ( ~ ( c_in @ SV1 @ SV6 @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Message_Osynth @ SV6 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV7: $i,SV2: $i] :
( ( ~ ( c_in @ SV2 @ ( c_Message_Osynth @ SV7 ) @ tc_Message_Omsg )
| ! [SY25: $i] :
( ~ ( c_lessequals @ SV7 @ ( c_Message_Osynth @ SY25 ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ SV2 @ ( c_Message_Osynth @ SY25 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV8: $i,SV3: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ~ ( c_in @ SV3 @ ( c_insert @ SV8 @ SY26 @ SY27 ) @ SY27 )
| ( SV3 = SV8 )
| ( c_in @ SV3 @ SY26 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY28: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ SV4 @ SV9 @ SY28 ) @ SV4 @ SY28 )
| ( c_lessequals @ SV4 @ SV9 @ ( tc_set @ SY28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY29: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV5 @ SV10 @ SY29 ) @ SV10 @ SY29 )
| ( c_lessequals @ SV5 @ SV10 @ ( tc_set @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV6: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ SV6 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV1 @ ( c_Message_Osynth @ SV6 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV7: $i,SV2: $i] :
( ( ( ~ ( c_in @ SV2 @ ( c_Message_Osynth @ SV7 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( c_lessequals @ SV7 @ ( c_Message_Osynth @ SY25 ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ SV2 @ ( c_Message_Osynth @ SY25 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV11: $i,SV8: $i,SV3: $i] :
( ( ! [SY30: $i] :
( ~ ( c_in @ SV3 @ ( c_insert @ SV8 @ SV11 @ SY30 ) @ SY30 )
| ( SV3 = SV8 )
| ( c_in @ SV3 @ SV11 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV12: $i,SV9: $i,SV4: $i] :
( ( ( c_in @ ( c_Main_OsubsetI__1 @ SV4 @ SV9 @ SV12 ) @ SV4 @ SV12 )
| ( c_lessequals @ SV4 @ SV9 @ ( tc_set @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV13: $i,SV10: $i,SV5: $i] :
( ( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV5 @ SV10 @ SV13 ) @ SV10 @ SV13 )
| ( c_lessequals @ SV5 @ SV10 @ ( tc_set @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV6: $i,SV1: $i] :
( ( ( c_in @ SV1 @ SV6 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV1 @ ( c_Message_Osynth @ SV6 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV7: $i,SV2: $i] :
( ( ( c_in @ SV2 @ ( c_Message_Osynth @ SV7 ) @ tc_Message_Omsg )
= $false )
| ( ( ! [SY25: $i] :
( ~ ( c_lessequals @ SV7 @ ( c_Message_Osynth @ SY25 ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ SV2 @ ( c_Message_Osynth @ SY25 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV14: $i,SV11: $i,SV8: $i,SV3: $i] :
( ( ~ ( c_in @ SV3 @ ( c_insert @ SV8 @ SV11 @ SV14 ) @ SV14 )
| ( SV3 = SV8 )
| ( c_in @ SV3 @ SV11 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV12: $i,SV9: $i,SV4: $i] :
( ( ( c_in @ ( c_Main_OsubsetI__1 @ SV4 @ SV9 @ SV12 ) @ SV4 @ SV12 )
= $true )
| ( ( c_lessequals @ SV4 @ SV9 @ ( tc_set @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV5 @ SV10 @ SV13 ) @ SV10 @ SV13 ) )
= $true )
| ( ( c_lessequals @ SV5 @ SV10 @ ( tc_set @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV2: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( c_lessequals @ SV7 @ ( c_Message_Osynth @ SV15 ) @ ( tc_set @ tc_Message_Omsg ) )
| ( c_in @ SV2 @ ( c_Message_Osynth @ SV15 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Osynth @ SV7 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV14: $i,SV11: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( c_in @ SV3 @ ( c_insert @ SV8 @ SV11 @ SV14 ) @ SV14 ) )
= $true )
| ( ( ( SV3 = SV8 )
| ( c_in @ SV3 @ SV11 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV13: $i,SV10: $i,SV5: $i] :
( ( ( c_in @ ( c_Main_OsubsetI__1 @ SV5 @ SV10 @ SV13 ) @ SV10 @ SV13 )
= $false )
| ( ( c_lessequals @ SV5 @ SV10 @ ( tc_set @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV2: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( c_lessequals @ SV7 @ ( c_Message_Osynth @ SV15 ) @ ( tc_set @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Osynth @ SV15 ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Osynth @ SV7 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV14: $i,SV11: $i,SV8: $i,SV3: $i] :
( ( ( c_in @ SV3 @ ( c_insert @ SV8 @ SV11 @ SV14 ) @ SV14 )
= $false )
| ( ( ( SV3 = SV8 )
| ( c_in @ SV3 @ SV11 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV2: $i,SV15: $i,SV7: $i] :
( ( ( c_lessequals @ SV7 @ ( c_Message_Osynth @ SV15 ) @ ( tc_set @ tc_Message_Omsg ) )
= $false )
| ( ( c_in @ SV2 @ ( c_Message_Osynth @ SV15 ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Osynth @ SV7 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV14: $i,SV11: $i,SV8: $i,SV3: $i] :
( ( ( SV3 = SV8 )
= $true )
| ( ( c_in @ SV3 @ SV11 @ SV14 )
= $true )
| ( ( c_in @ SV3 @ ( c_insert @ SV8 @ SV11 @ SV14 ) @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(61,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,60,59,56,52,49,38,32,24]) ).
thf(62,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 15 15:38:34 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36
% 0.15/0.36 No.of.Axioms: 8
% 0.15/0.36
% 0.15/0.36 Length.of.Defs: 0
% 0.15/0.36
% 0.15/0.36 Contains.Choice.Funs: false
% 0.15/0.37 (rf:0,axioms:8,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:10,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.22/0.43
% 0.22/0.43 ********************************
% 0.22/0.43 * All subproblems solved! *
% 0.22/0.43 ********************************
% 0.22/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,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:61,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.22/0.44
% 0.22/0.44 %**** Beginning of derivation protocol ****
% 0.22/0.44 % SZS output start CNFRefutation
% See solution above
% 0.22/0.44
% 0.22/0.44 %**** End of derivation protocol ****
% 0.22/0.44 %**** no. of clauses in derivation: 62 ****
% 0.22/0.44 %**** clause counter: 61 ****
% 0.22/0.44
% 0.22/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,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:61,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------