TSTP Solution File: SWV985-1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV985-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.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 20:15:06 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 51 ( 36 unt; 11 typ; 0 def)
% Number of atoms : 117 ( 51 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 119 ( 13 ~; 9 |; 0 &; 97 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-5 aty)
% Number of variables : 47 ( 0 ^ 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_COMBI,type,
c_COMBI: $i > $i > $i ).
thf(tp_c_State_Ohp,type,
c_State_Ohp: $i > $i ).
thf(tp_c_TypeSafe__Mirabelle_Osconf,type,
c_TypeSafe__Mirabelle_Osconf: $i > $i > $i > $o ).
thf(tp_c_WellTypeRT_OWTrt,type,
c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).
thf(tp_c_fequal,type,
c_fequal: $i > $i > $i > $o ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_v_E,type,
v_E: $i ).
thf(tp_v_P,type,
v_P: $i ).
thf(tp_v_T____,type,
v_T____: $i ).
thf(tp_v_e_H,type,
v_e_H: $i ).
thf(tp_v_s_H,type,
v_s_H: $i ).
thf(1,axiom,
! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(2,axiom,
! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(3,axiom,
( ( c_COMBI @ v_P @ t_a )
= v_P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
thf(4,axiom,
c_WellTypeRT_OWTrt @ v_P @ ( c_State_Ohp @ v_s_H ) @ v_E @ v_e_H @ v_T____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl_I1_J_0) ).
thf(5,axiom,
c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E @ v_s_H,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl_I2_J_0) ).
thf(6,axiom,
! [V_P: $i,T_a: $i] :
( ( c_COMBI @ V_P @ T_a )
= V_P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
thf(7,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(8,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,negated_conjecture,
~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E @ v_s_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(10,plain,
$false = $false,
inference(unfold_def,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ( c_COMBI @ v_P @ t_a )
= v_P )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ ( c_State_Ohp @ v_s_H ) @ v_E @ v_e_H @ v_T____ )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E @ v_s_H )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_COMBI @ V_P @ T_a )
= V_P ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E @ v_s_H ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(18,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(19,plain,
( ( ! [V_X: $i,V_Y: $i] :
( ( V_X = V_Y )
| ! [T_a: $i] :
~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(20,plain,
( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E @ v_s_H ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_COMBI @ V_P @ T_a )
= V_P ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(22,plain,
( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E @ v_s_H )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(23,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ ( c_State_Ohp @ v_s_H ) @ v_E @ v_e_H @ v_T____ )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(24,plain,
( ( ( c_COMBI @ v_P @ t_a )
= v_P )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(25,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(26,plain,
( ( ! [V_X: $i,V_Y: $i] :
( ( V_X = V_Y )
| ! [T_a: $i] :
~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(27,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(28,plain,
( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E @ v_s_H )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(29,plain,
! [SV1: $i] :
( ( ! [SY7: $i] :
( ( c_COMBI @ SV1 @ SY7 )
= SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(30,plain,
! [SV2: $i] :
( ( ! [SY8: $i] : ( c_fequal @ SV2 @ SV2 @ SY8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV3: $i] :
( ( ! [SY9: $i] :
( ( SV3 = SY9 )
| ! [SY10: $i] :
~ ( c_fequal @ SV3 @ SY9 @ SY10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV4: $i,SV1: $i] :
( ( ( c_COMBI @ SV1 @ SV4 )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV5: $i,SV2: $i] :
( ( c_fequal @ SV2 @ SV2 @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV6: $i,SV3: $i] :
( ( ( SV3 = SV6 )
| ! [SY11: $i] :
~ ( c_fequal @ SV3 @ SV6 @ SY11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV6: $i,SV3: $i] :
( ( ( SV3 = SV6 )
= $true )
| ( ( ! [SY11: $i] :
~ ( c_fequal @ SV3 @ SV6 @ SY11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(37,plain,
! [SV7: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( c_fequal @ SV3 @ SV6 @ SV7 ) )
= $true )
| ( ( SV3 = SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(38,plain,
! [SV7: $i,SV6: $i,SV3: $i] :
( ( ( c_fequal @ SV3 @ SV6 @ SV7 )
= $false )
| ( ( SV3 = SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(39,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,38,34,33,32,28,24,23]) ).
thf(40,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV985-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 18:03:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 7
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:7,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:9,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.13/0.38
% 0.13/0.38 ********************************
% 0.13/0.38 * All subproblems solved! *
% 0.13/0.38 ********************************
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:39,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.38
% 0.13/0.38 %**** Beginning of derivation protocol ****
% 0.13/0.38 % SZS output start CNFRefutation
% See solution above
% 0.13/0.38
% 0.13/0.38 %**** End of derivation protocol ****
% 0.13/0.38 %**** no. of clauses in derivation: 40 ****
% 0.13/0.38 %**** clause counter: 39 ****
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:39,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------