TSTP Solution File: SWV275-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV275-2 : 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 : n024.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 20:11:32 EDT 2022
% Result : Unsatisfiable 7.27s 7.50s
% Output : CNFRefutation 7.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 89 ( 55 unt; 9 typ; 0 def)
% Number of atoms : 345 ( 101 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 807 ( 60 ~; 85 |; 0 &; 662 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 223 ( 0 ^ 223 !; 0 ?; 223 :)
% 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(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_c: $i,V_A: $i,T_a: $i,V_B: $i] :
( ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) )
| ( c_in @ V_c @ V_B @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
thf(4,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(5,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(6,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(7,axiom,
! [V_G: $i,V_H: $i] :
( ~ ( c_lessequals @ V_G @ V_H @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_set @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__mono_0) ).
thf(8,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(9,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(10,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,negated_conjecture,
~ ( c_lessequals @ ( c_insert @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(12,plain,
$false = $false,
inference(unfold_def,[status(thm)],[10]) ).
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_B @ T_a )
| ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,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(15,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i,V_B: $i] :
( ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) )
| ( c_in @ V_c @ V_B @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,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)],[4]) ).
thf(17,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)],[5]) ).
thf(18,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)],[6]) ).
thf(19,plain,
( ( ! [V_G: $i,V_H: $i] :
( ~ ( c_lessequals @ V_G @ V_H @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_set @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(20,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)],[8]) ).
thf(21,plain,
( ( ~ ( c_lessequals @ ( c_insert @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_c @ V_A @ T_a )
| ! [V_B: $i] :
( ~ ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) )
| ( c_in @ V_c @ V_B @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(24,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)],[16]) ).
thf(25,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)],[18]) ).
thf(26,plain,
( ( ~ ( c_lessequals @ ( c_insert @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(27,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)],[20]) ).
thf(28,plain,
( ( ! [V_G: $i,V_H: $i] :
( ~ ( c_lessequals @ V_G @ V_H @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_set @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(29,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)],[25]) ).
thf(30,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)],[17]) ).
thf(31,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)],[24]) ).
thf(32,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( c_in @ V_c @ V_A @ T_a )
| ! [V_B: $i] :
( ~ ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) )
| ( c_in @ V_c @ V_B @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(33,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)],[14]) ).
thf(34,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)],[13]) ).
thf(35,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(36,plain,
( ( c_lessequals @ ( c_insert @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(37,plain,
! [SV1: $i] :
( ( ! [SY25: $i] :
( ~ ( c_in @ SV1 @ SY25 @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Message_Osynth @ SY25 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(38,plain,
! [SV2: $i] :
( ( ! [SY26: $i] :
( ~ ( c_lessequals @ SV2 @ SY26 @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Osynth @ SV2 ) @ ( c_Message_Osynth @ SY26 ) @ ( tc_set @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(39,plain,
! [SV3: $i] :
( ( ! [SY27: $i,SY28: $i] :
( ~ ( c_in @ SV3 @ SY27 @ SY28 )
| ! [SY29: $i] : ( c_in @ SV3 @ ( c_insert @ SY29 @ SY27 @ SY28 ) @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(40,plain,
! [SV4: $i] :
( ( ! [SY30: $i,SY31: $i] : ( c_in @ SV4 @ ( c_insert @ SV4 @ SY30 @ SY31 ) @ SY31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(41,plain,
! [SV5: $i] :
( ( ! [SY32: $i,SY33: $i,SY34: $i] :
( ~ ( c_in @ SV5 @ ( c_insert @ SY32 @ SY33 @ SY34 ) @ SY34 )
| ( SV5 = SY32 )
| ( c_in @ SV5 @ SY33 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(42,plain,
! [SV6: $i] :
( ( ! [SY35: $i,SY36: $i] :
( ~ ( c_in @ SV6 @ SY35 @ SY36 )
| ! [SY37: $i] :
( ~ ( c_lessequals @ SY35 @ SY37 @ ( tc_set @ SY36 ) )
| ( c_in @ SV6 @ SY37 @ SY36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(43,plain,
! [SV7: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ SV7 @ SY38 @ SY39 ) @ SV7 @ SY39 )
| ( c_lessequals @ SV7 @ SY38 @ ( tc_set @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(44,plain,
! [SV8: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV8 @ SY40 @ SY41 ) @ SY40 @ SY41 )
| ( c_lessequals @ SV8 @ SY40 @ ( tc_set @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(45,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(46,plain,
! [SV9: $i,SV1: $i] :
( ( ~ ( c_in @ SV1 @ SV9 @ tc_Message_Omsg )
| ( c_in @ SV1 @ ( c_Message_Osynth @ SV9 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(47,plain,
! [SV10: $i,SV2: $i] :
( ( ~ ( c_lessequals @ SV2 @ SV10 @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Osynth @ SV2 ) @ ( c_Message_Osynth @ SV10 ) @ ( tc_set @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(48,plain,
! [SV11: $i,SV3: $i] :
( ( ! [SY42: $i] :
( ~ ( c_in @ SV3 @ SV11 @ SY42 )
| ! [SY43: $i] : ( c_in @ SV3 @ ( c_insert @ SY43 @ SV11 @ SY42 ) @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(49,plain,
! [SV12: $i,SV4: $i] :
( ( ! [SY44: $i] : ( c_in @ SV4 @ ( c_insert @ SV4 @ SV12 @ SY44 ) @ SY44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(50,plain,
! [SV13: $i,SV5: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ~ ( c_in @ SV5 @ ( c_insert @ SV13 @ SY45 @ SY46 ) @ SY46 )
| ( SV5 = SV13 )
| ( c_in @ SV5 @ SY45 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(51,plain,
! [SV14: $i,SV6: $i] :
( ( ! [SY47: $i] :
( ~ ( c_in @ SV6 @ SV14 @ SY47 )
| ! [SY48: $i] :
( ~ ( c_lessequals @ SV14 @ SY48 @ ( tc_set @ SY47 ) )
| ( c_in @ SV6 @ SY48 @ SY47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(52,plain,
! [SV15: $i,SV7: $i] :
( ( ! [SY49: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ SV7 @ SV15 @ SY49 ) @ SV7 @ SY49 )
| ( c_lessequals @ SV7 @ SV15 @ ( tc_set @ SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(53,plain,
! [SV16: $i,SV8: $i] :
( ( ! [SY50: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV8 @ SV16 @ SY50 ) @ SV16 @ SY50 )
| ( c_lessequals @ SV8 @ SV16 @ ( tc_set @ SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(54,plain,
! [SV9: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ SV9 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV1 @ ( c_Message_Osynth @ SV9 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV10: $i,SV2: $i] :
( ( ( ~ ( c_lessequals @ SV2 @ SV10 @ ( tc_set @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV2 ) @ ( c_Message_Osynth @ SV10 ) @ ( tc_set @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV17: $i,SV11: $i,SV3: $i] :
( ( ~ ( c_in @ SV3 @ SV11 @ SV17 )
| ! [SY51: $i] : ( c_in @ SV3 @ ( c_insert @ SY51 @ SV11 @ SV17 ) @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV18: $i,SV12: $i,SV4: $i] :
( ( c_in @ SV4 @ ( c_insert @ SV4 @ SV12 @ SV18 ) @ SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV19: $i,SV13: $i,SV5: $i] :
( ( ! [SY52: $i] :
( ~ ( c_in @ SV5 @ ( c_insert @ SV13 @ SV19 @ SY52 ) @ SY52 )
| ( SV5 = SV13 )
| ( c_in @ SV5 @ SV19 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(59,plain,
! [SV20: $i,SV14: $i,SV6: $i] :
( ( ~ ( c_in @ SV6 @ SV14 @ SV20 )
| ! [SY53: $i] :
( ~ ( c_lessequals @ SV14 @ SY53 @ ( tc_set @ SV20 ) )
| ( c_in @ SV6 @ SY53 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( c_in @ ( c_Main_OsubsetI__1 @ SV7 @ SV15 @ SV21 ) @ SV7 @ SV21 )
| ( c_lessequals @ SV7 @ SV15 @ ( tc_set @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV22: $i,SV16: $i,SV8: $i] :
( ( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV8 @ SV16 @ SV22 ) @ SV16 @ SV22 )
| ( c_lessequals @ SV8 @ SV16 @ ( tc_set @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV9: $i,SV1: $i] :
( ( ( c_in @ SV1 @ SV9 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV1 @ ( c_Message_Osynth @ SV9 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV10: $i,SV2: $i] :
( ( ( c_lessequals @ SV2 @ SV10 @ ( tc_set @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV2 ) @ ( c_Message_Osynth @ SV10 ) @ ( tc_set @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV17: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( c_in @ SV3 @ SV11 @ SV17 ) )
= $true )
| ( ( ! [SY51: $i] : ( c_in @ SV3 @ ( c_insert @ SY51 @ SV11 @ SV17 ) @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV23: $i,SV19: $i,SV13: $i,SV5: $i] :
( ( ~ ( c_in @ SV5 @ ( c_insert @ SV13 @ SV19 @ SV23 ) @ SV23 )
| ( SV5 = SV13 )
| ( c_in @ SV5 @ SV19 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV20: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( c_in @ SV6 @ SV14 @ SV20 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( c_lessequals @ SV14 @ SY53 @ ( tc_set @ SV20 ) )
| ( c_in @ SV6 @ SY53 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( c_in @ ( c_Main_OsubsetI__1 @ SV7 @ SV15 @ SV21 ) @ SV7 @ SV21 )
= $true )
| ( ( c_lessequals @ SV7 @ SV15 @ ( tc_set @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV22: $i,SV16: $i,SV8: $i] :
( ( ( ~ ( c_in @ ( c_Main_OsubsetI__1 @ SV8 @ SV16 @ SV22 ) @ SV16 @ SV22 ) )
= $true )
| ( ( c_lessequals @ SV8 @ SV16 @ ( tc_set @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV17: $i,SV11: $i,SV3: $i] :
( ( ( c_in @ SV3 @ SV11 @ SV17 )
= $false )
| ( ( ! [SY51: $i] : ( c_in @ SV3 @ ( c_insert @ SY51 @ SV11 @ SV17 ) @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV23: $i,SV19: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ ( c_insert @ SV13 @ SV19 @ SV23 ) @ SV23 ) )
= $true )
| ( ( ( SV5 = SV13 )
| ( c_in @ SV5 @ SV19 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV20: $i,SV14: $i,SV6: $i] :
( ( ( c_in @ SV6 @ SV14 @ SV20 )
= $false )
| ( ( ! [SY53: $i] :
( ~ ( c_lessequals @ SV14 @ SY53 @ ( tc_set @ SV20 ) )
| ( c_in @ SV6 @ SY53 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV22: $i,SV16: $i,SV8: $i] :
( ( ( c_in @ ( c_Main_OsubsetI__1 @ SV8 @ SV16 @ SV22 ) @ SV16 @ SV22 )
= $false )
| ( ( c_lessequals @ SV8 @ SV16 @ ( tc_set @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV17: $i,SV11: $i,SV24: $i,SV3: $i] :
( ( ( c_in @ SV3 @ ( c_insert @ SV24 @ SV11 @ SV17 ) @ SV17 )
= $true )
| ( ( c_in @ SV3 @ SV11 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(74,plain,
! [SV23: $i,SV19: $i,SV13: $i,SV5: $i] :
( ( ( c_in @ SV5 @ ( c_insert @ SV13 @ SV19 @ SV23 ) @ SV23 )
= $false )
| ( ( ( SV5 = SV13 )
| ( c_in @ SV5 @ SV19 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(75,plain,
! [SV6: $i,SV20: $i,SV25: $i,SV14: $i] :
( ( ( ~ ( c_lessequals @ SV14 @ SV25 @ ( tc_set @ SV20 ) )
| ( c_in @ SV6 @ SV25 @ SV20 ) )
= $true )
| ( ( c_in @ SV6 @ SV14 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV23: $i,SV19: $i,SV13: $i,SV5: $i] :
( ( ( SV5 = SV13 )
= $true )
| ( ( c_in @ SV5 @ SV19 @ SV23 )
= $true )
| ( ( c_in @ SV5 @ ( c_insert @ SV13 @ SV19 @ SV23 ) @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV6: $i,SV20: $i,SV25: $i,SV14: $i] :
( ( ( ~ ( c_lessequals @ SV14 @ SV25 @ ( tc_set @ SV20 ) ) )
= $true )
| ( ( c_in @ SV6 @ SV25 @ SV20 )
= $true )
| ( ( c_in @ SV6 @ SV14 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV6: $i,SV20: $i,SV25: $i,SV14: $i] :
( ( ( c_lessequals @ SV14 @ SV25 @ ( tc_set @ SV20 ) )
= $false )
| ( ( c_in @ SV6 @ SV25 @ SV20 )
= $true )
| ( ( c_in @ SV6 @ SV14 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(79,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[36,78,76,73,72,67,63,62,57,45]) ).
thf(80,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV275-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 00:37:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 9
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 0
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.21/0.38 (rf:0,axioms:9,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:11,loop_count:0,foatp_calls:0,translation:fof_full)....
% 7.27/7.50
% 7.27/7.50 ********************************
% 7.27/7.50 * All subproblems solved! *
% 7.27/7.50 ********************************
% 7.27/7.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,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:79,loop_count:0,foatp_calls:1,translation:fof_full)
% 7.27/7.51
% 7.27/7.51 %**** Beginning of derivation protocol ****
% 7.27/7.51 % SZS output start CNFRefutation
% See solution above
% 7.27/7.51
% 7.27/7.51 %**** End of derivation protocol ****
% 7.27/7.51 %**** no. of clauses in derivation: 80 ****
% 7.27/7.51 %**** clause counter: 79 ****
% 7.27/7.51
% 7.27/7.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,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:79,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------