TSTP Solution File: AGT032^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : AGT032^2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : 300s
% DateTime : Sat May 4 07:08:56 EDT 2024
% Result : Theorem 0.22s 0.55s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 40
% Syntax : Number of formulae : 93 ( 29 unt; 23 typ; 0 def)
% Number of atoms : 243 ( 22 equ; 0 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 826 ( 112 ~; 102 |; 4 &; 608 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 106 ( 106 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 6 con; 0-4 aty)
% Number of variables : 179 ( 59 ^ 120 !; 0 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mu: $tType ).
thf(decl_24,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_25,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_26,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_27,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_31,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_33,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_37,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_38,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_49,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_53,type,
a1: $i > $i > $o ).
thf(decl_54,type,
a2: $i > $i > $o ).
thf(decl_55,type,
a3: $i > $i > $o ).
thf(decl_56,type,
jan: mu ).
thf(decl_57,type,
piotr: mu ).
thf(decl_58,type,
cola: mu ).
thf(decl_59,type,
pepsi: mu ).
thf(decl_61,type,
likes: mu > mu > $i > $o ).
thf(decl_62,type,
very_much_likes: mu > mu > $i > $o ).
thf(decl_64,type,
esk1_1: $i > $i ).
thf(decl_66,type,
esk3_4: $i > mu > mu > $i > $i ).
thf(decl_67,type,
esk4_4: $i > mu > mu > $i > $i ).
thf(decl_69,type,
esk6_0: $i ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mor) ).
thf(mand,axiom,
( mand
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mnot @ ( mor @ ( mnot @ X6 ) @ ( mnot @ X7 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mand) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [X8: mu > $i > $o,X3: $i] :
! [X1: mu] : ( X8 @ X1 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mforall_ind) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mbox) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mvalid) ).
thf(axiom_a2_4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X1: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X1 @ pepsi ) @ ( likes @ X1 @ cola ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',axiom_a2_4) ).
thf(axiom_a3_4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X1: mu] :
( mforall_ind
@ ^ [X2: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X1 @ X2 ) @ ( mand @ ( mbox @ a1 @ ( likes @ X1 @ X2 ) ) @ ( mbox @ a2 @ ( likes @ X1 @ X2 ) ) ) ) @ ( very_much_likes @ X1 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',axiom_a3_4) ).
thf(axiom_a2_1,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',axiom_a2_1) ).
thf(axiom_a3_1,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',axiom_a3_1) ).
thf(axiom_a1_1,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',axiom_a1_1) ).
thf(mdia,axiom,
( mdia
= ( ^ [X13: $i > $i > $o,X6: $i > $o] : ( mnot @ ( mbox @ X13 @ ( mnot @ X6 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mdia) ).
thf(axiom_a3_2,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',axiom_a3_2) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [X11: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X11 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',mexists_ind) ).
thf(axiom_user_communication_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X1: mu] :
( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X1 @ X2 ) ) @ ( likes @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',axiom_user_communication_2) ).
thf(conj,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X1: mu] :
( mexists_ind
@ ^ [X2: mu] : ( likes @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p',conj) ).
thf(c_0_17,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_18,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_19,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_20,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_21,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
thf(c_0_22,plain,
( mforall_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
! [X1: mu] : ( Z0 @ X1 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mforall_ind]) ).
thf(c_0_23,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X14: $i] :
( ~ ( Z0 @ Z2 @ X14 )
| ( Z1 @ X14 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_24,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_25,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_18]),c_0_19]) ).
thf(c_0_26,plain,
! [X41: $i,X40: mu,X39: $i] :
( ~ ( a2 @ X41 @ X39 )
| ~ ( likes @ X40 @ pepsi @ X39 )
| ( likes @ X40 @ cola @ X39 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_a2_4]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]) ).
thf(c_0_27,plain,
! [X56: $i,X55: mu,X54: mu,X53: $i] :
( ~ ( a3 @ X56 @ X53 )
| ~ ~ ( ~ ( likes @ X55 @ X54 @ X53 )
| ~ ~ ( ~ ! [X51: $i] :
( ~ ( a1 @ X53 @ X51 )
| ( likes @ X55 @ X54 @ X51 ) )
| ~ ! [X52: $i] :
( ~ ( a2 @ X53 @ X52 )
| ( likes @ X55 @ X54 @ X52 ) ) ) )
| ( very_much_likes @ X55 @ X54 @ X53 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_a3_4]),c_0_25]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]) ).
thf(c_0_28,plain,
! [X98: $i,X99: mu,X100: $i] :
( ~ ( a2 @ X98 @ X100 )
| ~ ( likes @ X99 @ pepsi @ X100 )
| ( likes @ X99 @ cola @ X100 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
thf(c_0_29,plain,
! [X110: $i,X111: mu,X112: mu,X113: $i] :
( ( ( a2 @ X113 @ ( esk4_4 @ X110 @ X111 @ X112 @ X113 ) )
| ( a1 @ X113 @ ( esk3_4 @ X110 @ X111 @ X112 @ X113 ) )
| ~ ( likes @ X111 @ X112 @ X113 )
| ( very_much_likes @ X111 @ X112 @ X113 )
| ~ ( a3 @ X110 @ X113 ) )
& ( ~ ( likes @ X111 @ X112 @ ( esk4_4 @ X110 @ X111 @ X112 @ X113 ) )
| ( a1 @ X113 @ ( esk3_4 @ X110 @ X111 @ X112 @ X113 ) )
| ~ ( likes @ X111 @ X112 @ X113 )
| ( very_much_likes @ X111 @ X112 @ X113 )
| ~ ( a3 @ X110 @ X113 ) )
& ( ( a2 @ X113 @ ( esk4_4 @ X110 @ X111 @ X112 @ X113 ) )
| ~ ( likes @ X111 @ X112 @ ( esk3_4 @ X110 @ X111 @ X112 @ X113 ) )
| ~ ( likes @ X111 @ X112 @ X113 )
| ( very_much_likes @ X111 @ X112 @ X113 )
| ~ ( a3 @ X110 @ X113 ) )
& ( ~ ( likes @ X111 @ X112 @ ( esk4_4 @ X110 @ X111 @ X112 @ X113 ) )
| ~ ( likes @ X111 @ X112 @ ( esk3_4 @ X110 @ X111 @ X112 @ X113 ) )
| ~ ( likes @ X111 @ X112 @ X113 )
| ( very_much_likes @ X111 @ X112 @ X113 )
| ~ ( a3 @ X110 @ X113 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).
thf(c_0_30,plain,
! [X34: $i,X33: $i] :
( ~ ( a2 @ X34 @ X33 )
| ( likes @ jan @ pepsi @ X33 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a2_1,c_0_23]),c_0_24])]) ).
thf(c_0_31,plain,
! [X3: $i,X1: mu,X14: $i] :
( ( likes @ X1 @ cola @ X14 )
| ~ ( a2 @ X3 @ X14 )
| ~ ( likes @ X1 @ pepsi @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_32,plain,
! [X1: mu,X14: $i,X2: mu,X3: $i] :
( ( a2 @ X3 @ ( esk4_4 @ X14 @ X1 @ X2 @ X3 ) )
| ( a1 @ X3 @ ( esk3_4 @ X14 @ X1 @ X2 @ X3 ) )
| ( very_much_likes @ X1 @ X2 @ X3 )
| ~ ( likes @ X1 @ X2 @ X3 )
| ~ ( a3 @ X14 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_33,plain,
! [X92: $i,X93: $i] :
( ~ ( a2 @ X92 @ X93 )
| ( likes @ jan @ pepsi @ X93 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
thf(c_0_34,plain,
! [X46: $i,X45: $i] :
( ~ ( a3 @ X46 @ X45 )
| ( likes @ jan @ cola @ X45 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a3_1,c_0_23]),c_0_24])]) ).
thf(c_0_35,plain,
! [X22: $i,X21: $i] :
( ~ ( a1 @ X22 @ X21 )
| ( likes @ jan @ cola @ X21 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a1_1,c_0_23]),c_0_24])]) ).
thf(c_0_36,plain,
! [X2: mu,X3: $i,X1: mu,X14: $i] :
( ( a1 @ X14 @ ( esk3_4 @ X3 @ X1 @ X2 @ X14 ) )
| ( very_much_likes @ X1 @ X2 @ X14 )
| ~ ( likes @ X1 @ X2 @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ~ ( likes @ X1 @ X2 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_37,plain,
! [X1: mu,X2: mu,X18: mu,X3: $i,X14: $i] :
( ( likes @ X1 @ cola @ ( esk4_4 @ X3 @ X2 @ X18 @ X14 ) )
| ( a1 @ X14 @ ( esk3_4 @ X3 @ X2 @ X18 @ X14 ) )
| ( very_much_likes @ X2 @ X18 @ X14 )
| ~ ( likes @ X1 @ pepsi @ ( esk4_4 @ X3 @ X2 @ X18 @ X14 ) )
| ~ ( likes @ X2 @ X18 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_38,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ pepsi @ X14 )
| ~ ( a2 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_39,plain,
! [X104: $i,X105: $i] :
( ~ ( a3 @ X104 @ X105 )
| ( likes @ jan @ cola @ X105 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).
thf(c_0_40,plain,
( mdia
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
~ ! [X20: $i] :
( ~ ( Z0 @ Z2 @ X20 )
| ~ ( Z1 @ X20 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia]) ).
thf(c_0_41,plain,
! [X1: mu,X14: $i,X2: mu,X3: $i] :
( ( a2 @ X3 @ ( esk4_4 @ X14 @ X1 @ X2 @ X3 ) )
| ( very_much_likes @ X1 @ X2 @ X3 )
| ~ ( likes @ X1 @ X2 @ ( esk3_4 @ X14 @ X1 @ X2 @ X3 ) )
| ~ ( likes @ X1 @ X2 @ X3 )
| ~ ( a3 @ X14 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_42,plain,
! [X80: $i,X81: $i] :
( ~ ( a1 @ X80 @ X81 )
| ( likes @ jan @ cola @ X81 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_35])]) ).
thf(c_0_43,plain,
! [X14: $i,X1: mu,X3: $i] :
( ( a1 @ X3 @ ( esk3_4 @ X14 @ X1 @ cola @ X3 ) )
| ( very_much_likes @ X1 @ cola @ X3 )
| ~ ( likes @ X1 @ pepsi @ ( esk4_4 @ X14 @ X1 @ cola @ X3 ) )
| ~ ( likes @ X1 @ cola @ X3 )
| ~ ( a3 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_44,plain,
! [X2: mu,X3: $i,X1: mu,X14: $i] :
( ( likes @ jan @ pepsi @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ( a1 @ X14 @ ( esk3_4 @ X3 @ X1 @ X2 @ X14 ) )
| ( very_much_likes @ X1 @ X2 @ X14 )
| ~ ( likes @ X1 @ X2 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
thf(c_0_45,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_46,plain,
( mdia
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
~ ! [X20: $i] :
( ~ ( Z0 @ Z2 @ X20 )
| ~ ( Z1 @ X20 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_40,c_0_18]),c_0_23]) ).
thf(c_0_47,plain,
! [X2: mu,X3: $i,X1: mu,X14: $i] :
( ( very_much_likes @ X1 @ X2 @ X14 )
| ~ ( likes @ X1 @ X2 @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ~ ( likes @ X1 @ X2 @ ( esk3_4 @ X3 @ X1 @ X2 @ X14 ) )
| ~ ( likes @ X1 @ X2 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_48,plain,
! [X1: mu,X2: mu,X18: mu,X3: $i,X14: $i] :
( ( likes @ X1 @ cola @ ( esk4_4 @ X3 @ X2 @ X18 @ X14 ) )
| ( very_much_likes @ X2 @ X18 @ X14 )
| ~ ( likes @ X1 @ pepsi @ ( esk4_4 @ X3 @ X2 @ X18 @ X14 ) )
| ~ ( likes @ X2 @ X18 @ ( esk3_4 @ X3 @ X2 @ X18 @ X14 ) )
| ~ ( likes @ X2 @ X18 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
thf(c_0_49,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ X14 )
| ~ ( a1 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_50,plain,
! [X14: $i,X3: $i] :
( ( a1 @ X3 @ ( esk3_4 @ X14 @ jan @ cola @ X3 ) )
| ( very_much_likes @ jan @ cola @ X3 )
| ~ ( a3 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
thf(c_0_51,plain,
! [X48: $i] :
~ ! [X47: $i] :
( ~ ( a3 @ X48 @ X47 )
| ~ ( likes @ piotr @ pepsi @ X47 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a3_2,c_0_46]),c_0_24])]) ).
thf(c_0_52,plain,
( mexists_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
~ ! [X18: mu] :
~ ( Z0 @ X18 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mexists_ind]) ).
thf(c_0_53,plain,
! [X64: $i,X63: mu,X62: mu] :
( ~ ~ ! [X61: $i] :
( ~ ( a3 @ X64 @ X61 )
| ~ ( very_much_likes @ X63 @ X62 @ X61 ) )
| ( likes @ X63 @ X62 @ X64 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_user_communication_2]),c_0_21]),c_0_22]),c_0_46]),c_0_24])]) ).
thf(c_0_54,plain,
! [X14: $i,X1: mu,X3: $i] :
( ( very_much_likes @ X1 @ cola @ X3 )
| ~ ( likes @ X1 @ cola @ ( esk3_4 @ X14 @ X1 @ cola @ X3 ) )
| ~ ( likes @ X1 @ pepsi @ ( esk4_4 @ X14 @ X1 @ cola @ X3 ) )
| ~ ( likes @ X1 @ cola @ X3 )
| ~ ( a3 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
thf(c_0_55,plain,
! [X2: mu,X3: $i,X1: mu,X14: $i] :
( ( likes @ jan @ pepsi @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ( very_much_likes @ X1 @ X2 @ X14 )
| ~ ( likes @ X1 @ X2 @ ( esk3_4 @ X3 @ X1 @ X2 @ X14 ) )
| ~ ( likes @ X1 @ X2 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_41]) ).
thf(c_0_56,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ ( esk3_4 @ X3 @ jan @ cola @ X14 ) )
| ( very_much_likes @ jan @ cola @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_57,plain,
! [X106: $i] :
( ( a3 @ X106 @ ( esk1_1 @ X106 ) )
& ( likes @ piotr @ pepsi @ ( esk1_1 @ X106 ) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
thf(c_0_58,plain,
( mexists_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
~ ! [X18: mu] :
~ ( Z0 @ X18 @ Z1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52,c_0_18]),c_0_22]) ).
thf(c_0_59,plain,
! [X120: $i,X121: mu,X122: mu,X123: $i] :
( ~ ( a3 @ X120 @ X123 )
| ~ ( very_much_likes @ X121 @ X122 @ X123 )
| ( likes @ X121 @ X122 @ X120 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
thf(c_0_60,plain,
! [X14: $i,X3: $i] :
( ( very_much_likes @ jan @ cola @ X3 )
| ~ ( a3 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_45]),c_0_56]) ).
thf(c_0_61,plain,
! [X3: $i] : ( a3 @ X3 @ ( esk1_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
thf(c_0_62,negated_conjecture,
~ ! [X79: $i] :
~ ! [X78: mu] :
~ ~ ! [X77: mu] :
~ ( likes @ X78 @ X77 @ X79 ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_58]),c_0_24])]) ).
thf(c_0_63,plain,
! [X3: $i,X2: mu,X1: mu,X14: $i] :
( ( likes @ X1 @ X2 @ X3 )
| ~ ( a3 @ X3 @ X14 )
| ~ ( very_much_likes @ X1 @ X2 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
thf(c_0_64,plain,
! [X3: $i] : ( very_much_likes @ jan @ cola @ ( esk1_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_65,negated_conjecture,
! [X137: mu,X138: mu] :
~ ( likes @ X137 @ X138 @ esk6_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).
thf(c_0_66,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ X3 )
| ~ ( a3 @ X3 @ ( esk1_1 @ X14 ) ) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
thf(c_0_67,negated_conjecture,
! [X1: mu,X2: mu] :
~ ( likes @ X1 @ X2 @ esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_68,plain,
! [X3: $i] : ( likes @ jan @ cola @ X3 ),
inference(spm,[status(thm)],[c_0_66,c_0_61]) ).
thf(c_0_69,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_67,c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT032^2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 13:28:45 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running higher-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.cc2lpUMt0r/E---3.1_10210.p
% 0.22/0.55 # Version: 3.1.0-ho
% 0.22/0.55 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.22/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.22/0.55 # Starting post_as_ho3 with 300s (1) cores
% 0.22/0.55 # Starting new_ho_12 with 300s (1) cores
% 0.22/0.55 # Starting new_bool_2 with 300s (1) cores
% 0.22/0.55 # new_ho_10_cnf2 with pid 10301 completed with status 0
% 0.22/0.55 # Result found by new_ho_10_cnf2
% 0.22/0.55 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.22/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.22/0.55 # No SInE strategy applied
% 0.22/0.55 # Search class: HGUNM-FFMF32-SHSSMFNN
% 0.22/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.55 # Starting new_ho_10 with 811s (1) cores
% 0.22/0.55 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.22/0.55 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.22/0.55 # Starting lpo1_def_fix with 136s (1) cores
% 0.22/0.55 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.22/0.55 # lpo1_def_fix with pid 10313 completed with status 0
% 0.22/0.55 # Result found by lpo1_def_fix
% 0.22/0.55 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.22/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.22/0.55 # No SInE strategy applied
% 0.22/0.55 # Search class: HGUNM-FFMF32-SHSSMFNN
% 0.22/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.55 # Starting new_ho_10 with 811s (1) cores
% 0.22/0.55 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.22/0.55 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.22/0.55 # Starting lpo1_def_fix with 136s (1) cores
% 0.22/0.55 # Preprocessing time : 0.003 s
% 0.22/0.55 # Presaturation interreduction done
% 0.22/0.55
% 0.22/0.55 # Proof found!
% 0.22/0.55 # SZS status Theorem
% 0.22/0.55 # SZS output start CNFRefutation
% See solution above
% 0.22/0.55 # Parsed axioms : 93
% 0.22/0.55 # Removed by relevancy pruning/SinE : 0
% 0.22/0.55 # Initial clauses : 68
% 0.22/0.55 # Removed in clause preprocessing : 43
% 0.22/0.55 # Initial clauses in saturation : 25
% 0.22/0.55 # Processed clauses : 124
% 0.22/0.55 # ...of these trivial : 13
% 0.22/0.55 # ...subsumed : 12
% 0.22/0.55 # ...remaining for further processing : 99
% 0.22/0.55 # Other redundant clauses eliminated : 0
% 0.22/0.55 # Clauses deleted for lack of memory : 0
% 0.22/0.55 # Backward-subsumed : 12
% 0.22/0.55 # Backward-rewritten : 13
% 0.22/0.55 # Generated clauses : 141
% 0.22/0.55 # ...of the previous two non-redundant : 98
% 0.22/0.55 # ...aggressively subsumed : 0
% 0.22/0.55 # Contextual simplify-reflections : 4
% 0.22/0.55 # Paramodulations : 141
% 0.22/0.55 # Factorizations : 0
% 0.22/0.55 # NegExts : 0
% 0.22/0.55 # Equation resolutions : 0
% 0.22/0.55 # Disequality decompositions : 0
% 0.22/0.55 # Total rewrite steps : 62
% 0.22/0.55 # ...of those cached : 51
% 0.22/0.55 # Propositional unsat checks : 0
% 0.22/0.55 # Propositional check models : 0
% 0.22/0.55 # Propositional check unsatisfiable : 0
% 0.22/0.55 # Propositional clauses : 0
% 0.22/0.55 # Propositional clauses after purity: 0
% 0.22/0.55 # Propositional unsat core size : 0
% 0.22/0.55 # Propositional preprocessing time : 0.000
% 0.22/0.55 # Propositional encoding time : 0.000
% 0.22/0.55 # Propositional solver time : 0.000
% 0.22/0.55 # Success case prop preproc time : 0.000
% 0.22/0.55 # Success case prop encoding time : 0.000
% 0.22/0.55 # Success case prop solver time : 0.000
% 0.22/0.55 # Current number of processed clauses : 49
% 0.22/0.55 # Positive orientable unit clauses : 14
% 0.22/0.55 # Positive unorientable unit clauses: 0
% 0.22/0.55 # Negative unit clauses : 1
% 0.22/0.55 # Non-unit-clauses : 34
% 0.22/0.55 # Current number of unprocessed clauses: 19
% 0.22/0.55 # ...number of literals in the above : 108
% 0.22/0.55 # Current number of archived formulas : 0
% 0.22/0.55 # Current number of archived clauses : 50
% 0.22/0.55 # Clause-clause subsumption calls (NU) : 437
% 0.22/0.55 # Rec. Clause-clause subsumption calls : 158
% 0.22/0.55 # Non-unit clause-clause subsumptions : 28
% 0.22/0.55 # Unit Clause-clause subsumption calls : 10
% 0.22/0.55 # Rewrite failures with RHS unbound : 0
% 0.22/0.55 # BW rewrite match attempts : 17
% 0.22/0.55 # BW rewrite match successes : 9
% 0.22/0.55 # Condensation attempts : 0
% 0.22/0.55 # Condensation successes : 0
% 0.22/0.55 # Termbank termtop insertions : 9465
% 0.22/0.55 # Search garbage collected termcells : 2647
% 0.22/0.55
% 0.22/0.55 # -------------------------------------------------
% 0.22/0.55 # User time : 0.029 s
% 0.22/0.55 # System time : 0.006 s
% 0.22/0.55 # Total time : 0.035 s
% 0.22/0.55 # Maximum resident set size: 2344 pages
% 0.22/0.55
% 0.22/0.55 # -------------------------------------------------
% 0.22/0.55 # User time : 0.122 s
% 0.22/0.55 # System time : 0.014 s
% 0.22/0.55 # Total time : 0.136 s
% 0.22/0.55 # Maximum resident set size: 1804 pages
% 0.22/0.55 % E---3.1 exiting
% 0.22/0.55 % E exiting
%------------------------------------------------------------------------------