%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : AGT034^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:44:29 AM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 61 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 217 ( 16 equ; 0 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 779 ( 90 ~; 99 |; 4 &; 586 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 152 ( 43 ^; 109 !; 0 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mu: $tType ).
thf(decl_25,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_26,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_27,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_28,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_32,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_38,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_54,type,
a1: $i > $i > $o ).
thf(decl_55,type,
a2: $i > $i > $o ).
thf(decl_56,type,
a3: $i > $i > $o ).
thf(decl_57,type,
jan: mu ).
thf(decl_59,type,
cola: mu ).
thf(decl_60,type,
pepsi: mu ).
thf(decl_62,type,
likes: mu > mu > $i > $o ).
thf(decl_63,type,
very_much_likes: mu > mu > $i > $o ).
thf(decl_67,type,
esk3_4: $i > mu > mu > $i > $i ).
thf(decl_68,type,
esk4_4: $i > mu > mu > $i > $i ).
thf(decl_69,type,
esk5_3: $i > mu > mu > $i ).
thf(decl_70,type,
esk6_0: $i ).
thf(mand,axiom,
( mand
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mnot @ ( mor @ ( mnot @ X6 ) @ ( mnot @ X7 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',mand) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',mor) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',mimplies) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',mbox) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',mvalid) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [X8: mu > $i > $o,X3: $i] :
! [X1: mu] : ( X8 @ X1 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',mforall_ind) ).
thf(axiom_a2_1,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',axiom_a2_1) ).
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/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',axiom_a3_4) ).
thf(axiom_a2_4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X1: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X1 @ pepsi ) @ ( likes @ X1 @ cola ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',axiom_a2_4) ).
thf(axiom_a3_1,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',axiom_a3_1) ).
thf(axiom_a1_1,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',axiom_a1_1) ).
thf(axiom_user_communication_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X1: mu] :
( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X1 @ X2 ) ) @ ( very_much_likes @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',axiom_user_communication_1) ).
thf(conj,conjecture,
mvalid @ ( very_much_likes @ jan @ cola ),
file('/export/starexec/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p',conj) ).
thf(c_0_14,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_15,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_16,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
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,
( 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_19,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_20,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_14,c_0_15]),c_0_16]) ).
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_15]),c_0_16]) ).
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,
! [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_18]),c_0_19])]) ).
thf(c_0_24,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_20]),c_0_21]),c_0_22]),c_0_18]),c_0_19])]) ).
thf(c_0_25,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_18]),c_0_19])]) ).
thf(c_0_26,plain,
! [X90: $i,X91: $i] :
( ~ ( a2 @ X90 @ X91 )
| ( likes @ jan @ pepsi @ X91 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_23])]) ).
thf(c_0_27,plain,
! [X108: $i,X109: mu,X110: mu,X111: $i] :
( ( ( a2 @ X111 @ ( esk4_4 @ X108 @ X109 @ X110 @ X111 ) )
| ( a1 @ X111 @ ( esk3_4 @ X108 @ X109 @ X110 @ X111 ) )
| ~ ( likes @ X109 @ X110 @ X111 )
| ( very_much_likes @ X109 @ X110 @ X111 )
| ~ ( a3 @ X108 @ X111 ) )
& ( ~ ( likes @ X109 @ X110 @ ( esk4_4 @ X108 @ X109 @ X110 @ X111 ) )
| ( a1 @ X111 @ ( esk3_4 @ X108 @ X109 @ X110 @ X111 ) )
| ~ ( likes @ X109 @ X110 @ X111 )
| ( very_much_likes @ X109 @ X110 @ X111 )
| ~ ( a3 @ X108 @ X111 ) )
& ( ( a2 @ X111 @ ( esk4_4 @ X108 @ X109 @ X110 @ X111 ) )
| ~ ( likes @ X109 @ X110 @ ( esk3_4 @ X108 @ X109 @ X110 @ X111 ) )
| ~ ( likes @ X109 @ X110 @ X111 )
| ( very_much_likes @ X109 @ X110 @ X111 )
| ~ ( a3 @ X108 @ X111 ) )
& ( ~ ( likes @ X109 @ X110 @ ( esk4_4 @ X108 @ X109 @ X110 @ X111 ) )
| ~ ( likes @ X109 @ X110 @ ( esk3_4 @ X108 @ X109 @ X110 @ X111 ) )
| ~ ( likes @ X109 @ X110 @ X111 )
| ( very_much_likes @ X109 @ X110 @ X111 )
| ~ ( a3 @ X108 @ X111 ) ) ),
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_24])])])])]) ).
thf(c_0_28,plain,
! [X96: $i,X97: mu,X98: $i] :
( ~ ( a2 @ X96 @ X98 )
| ~ ( likes @ X97 @ pepsi @ X98 )
| ( likes @ X97 @ cola @ X98 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).
thf(c_0_29,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ pepsi @ X14 )
| ~ ( a2 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_30,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_27]) ).
thf(c_0_31,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_27]) ).
thf(c_0_32,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_33,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_29,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_18]),c_0_19])]) ).
thf(c_0_35,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_29,c_0_31]) ).
thf(c_0_36,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_18]),c_0_19])]) ).
thf(c_0_37,plain,
! [X15: $i,X2: mu,X3: $i,X1: mu,X14: $i] :
( ( likes @ jan @ cola @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ( a1 @ X14 @ ( esk3_4 @ X3 @ X1 @ X2 @ X14 ) )
| ( very_much_likes @ X1 @ X2 @ X14 )
| ~ ( a2 @ X15 @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ~ ( likes @ X1 @ X2 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_38,plain,
! [X102: $i,X103: $i] :
( ~ ( a3 @ X102 @ X103 )
| ( likes @ jan @ cola @ X103 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).
thf(c_0_39,plain,
! [X15: $i,X2: mu,X3: $i,X1: mu,X14: $i] :
( ( likes @ jan @ cola @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ( very_much_likes @ X1 @ X2 @ X14 )
| ~ ( likes @ X1 @ X2 @ ( esk3_4 @ X3 @ X1 @ X2 @ X14 ) )
| ~ ( a2 @ X15 @ ( esk4_4 @ X3 @ X1 @ X2 @ X14 ) )
| ~ ( likes @ X1 @ X2 @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
thf(c_0_40,plain,
! [X78: $i,X79: $i] :
( ~ ( a1 @ X78 @ X79 )
| ( likes @ jan @ cola @ X79 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
thf(c_0_41,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_27]) ).
thf(c_0_42,plain,
! [X2: mu,X3: $i,X1: mu,X14: $i] :
( ( likes @ jan @ cola @ ( 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_37,c_0_30]) ).
thf(c_0_43,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ X14 )
| ~ ( a3 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_44,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_27]) ).
thf(c_0_45,plain,
! [X2: mu,X3: $i,X1: mu,X14: $i] :
( ( likes @ jan @ cola @ ( 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_39,c_0_31]) ).
thf(c_0_46,plain,
! [X60: $i,X59: mu,X58: mu] :
( ~ ! [X57: $i] :
( ~ ( a3 @ X60 @ X57 )
| ( very_much_likes @ X59 @ X58 @ X57 ) )
| ( very_much_likes @ X59 @ X58 @ X60 ) ),
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_1]),c_0_21]),c_0_22]),c_0_18]),c_0_19])]) ).
thf(c_0_47,negated_conjecture,
~ ( mvalid @ ( very_much_likes @ jan @ cola ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_48,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ X14 )
| ~ ( a1 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_49,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_41,c_0_42]),c_0_43]) ).
thf(c_0_50,plain,
! [X14: $i,X3: $i] :
( ( very_much_likes @ jan @ cola @ X3 )
| ~ ( likes @ jan @ cola @ ( esk3_4 @ X14 @ jan @ cola @ X3 ) )
| ~ ( a3 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_43]) ).
thf(c_0_51,plain,
! [X114: $i,X115: mu,X116: mu] :
( ( ( a3 @ X114 @ ( esk5_3 @ X114 @ X115 @ X116 ) )
| ( very_much_likes @ X115 @ X116 @ X114 ) )
& ( ~ ( very_much_likes @ X115 @ X116 @ ( esk5_3 @ X114 @ X115 @ X116 ) )
| ( very_much_likes @ X115 @ X116 @ X114 ) ) ),
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_46])])])])]) ).
thf(c_0_52,negated_conjecture,
~ ! [X77: $i] : ( very_much_likes @ jan @ cola @ X77 ),
inference(apply_def,[status(thm)],[c_0_47,c_0_19]) ).
thf(c_0_53,plain,
! [X14: $i,X3: $i] :
( ( very_much_likes @ jan @ cola @ X3 )
| ~ ( a3 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
thf(c_0_54,plain,
! [X1: mu,X2: mu,X3: $i] :
( ( a3 @ X3 @ ( esk5_3 @ X3 @ X1 @ X2 ) )
| ( very_much_likes @ X1 @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_55,negated_conjecture,
~ ( very_much_likes @ jan @ cola @ esk6_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
thf(c_0_56,plain,
! [X1: mu,X3: $i,X2: mu] :
( ( very_much_likes @ X1 @ X2 @ X3 )
| ~ ( very_much_likes @ X1 @ X2 @ ( esk5_3 @ X3 @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_57,plain,
! [X1: mu,X2: mu,X3: $i] :
( ( very_much_likes @ jan @ cola @ ( esk5_3 @ X3 @ X1 @ X2 ) )
| ( very_much_likes @ X1 @ X2 @ X3 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_58,negated_conjecture,
~ ( very_much_likes @ jan @ cola @ esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_59,plain,
! [X3: $i] : ( very_much_likes @ jan @ cola @ X3 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
thf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT034^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n003.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 17:32:29 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.lbbTCMzyTQ/E---3.1_2808895.p
% 0.08/0.24 % Version: 3.5.1-ho
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.24 % Starting new_ho_12 with 300s (1) cores
% 0.08/0.24 % Starting new_bool_2 with 300s (1) cores
% 0.08/0.24 % new_ho_10_cnf2 with pid 2808908 completed with status 0
% 0.08/0.24 % Result found by new_ho_10_cnf2
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HGUNM-FFMF32-SHSSMFNN
% 0.08/0.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.24 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.24 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.08/0.24 % Starting sh5l with 136s (1) cores
% 0.08/0.24 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.08/0.24 % Starting lpo1_def_fix with 136s (1) cores
% 0.08/0.24 % lpo1_def_fix with pid 2808916 completed with status 0
% 0.08/0.24 % Result found by lpo1_def_fix
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HGUNM-FFMF32-SHSSMFNN
% 0.08/0.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.24 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.24 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.08/0.24 % Starting sh5l with 136s (1) cores
% 0.08/0.24 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.08/0.24 % Starting lpo1_def_fix with 136s (1) cores
% 0.08/0.24 % Preprocessing time : 0.001 s
% 0.08/0.24 % Presaturation interreduction done
% 0.08/0.24
% 0.08/0.24 % Proof found!
% 0.08/0.24 % SZS status Theorem
% 0.08/0.24 % SZS output start CNFRefutation
% See solution above
% 0.08/0.25 % Parsed axioms : 93
% 0.08/0.25 % Removed by relevancy pruning/SinE : 0
% 0.08/0.25 % Initial clauses : 68
% 0.08/0.25 % Removed in clause preprocessing : 43
% 0.08/0.25 % Initial clauses in saturation : 25
% 0.08/0.25 % Processed clauses : 143
% 0.08/0.25 % ...of these trivial : 18
% 0.08/0.25 % ...subsumed : 22
% 0.08/0.25 % ...remaining for further processing : 103
% 0.08/0.25 % Other redundant clauses eliminated : 0
% 0.08/0.25 % Clauses deleted for lack of memory : 0
% 0.08/0.25 % Backward-subsumed : 12
% 0.08/0.25 % Backward-rewritten : 18
% 0.08/0.25 % Generated clauses : 153
% 0.08/0.25 % ...of the previous two non-redundant : 115
% 0.08/0.25 % ...aggressively subsumed : 0
% 0.08/0.25 % Contextual simplify-reflections : 4
% 0.08/0.25 % Paramodulations : 153
% 0.08/0.25 % Factorizations : 0
% 0.08/0.25 % NegExts : 0
% 0.08/0.25 % Equation resolutions : 0
% 0.08/0.25 % Disequality decompositions : 0
% 0.08/0.25 % Total rewrite steps : 73
% 0.08/0.25 % ...of those cached : 55
% 0.08/0.25 % Propositional unsat checks : 0
% 0.08/0.25 % Propositional check models : 0
% 0.08/0.25 % Propositional check unsatisfiable : 0
% 0.08/0.25 % Propositional clauses : 0
% 0.08/0.25 % Propositional clauses after purity: 0
% 0.08/0.25 % Propositional unsat core size : 0
% 0.08/0.25 % Propositional preprocessing time : 0.000
% 0.08/0.25 % Propositional encoding time : 0.000
% 0.08/0.25 % Propositional solver time : 0.000
% 0.08/0.25 % Success case prop preproc time : 0.000
% 0.08/0.25 % Success case prop encoding time : 0.000
% 0.08/0.25 % Success case prop solver time : 0.000
% 0.08/0.25 % Current number of processed clauses : 48
% 0.08/0.25 % Positive orientable unit clauses : 14
% 0.08/0.25 % Positive unorientable unit clauses: 0
% 0.08/0.25 % Negative unit clauses : 0
% 0.08/0.25 % Non-unit-clauses : 34
% 0.08/0.25 % Current number of unprocessed clauses: 22
% 0.08/0.25 % ...number of literals in the above : 120
% 0.08/0.25 % Current number of archived formulas : 0
% 0.08/0.25 % Current number of archived clauses : 55
% 0.08/0.25 % Clause-clause subsumption calls (NU) : 523
% 0.08/0.25 % Rec. Clause-clause subsumption calls : 155
% 0.08/0.25 % Non-unit clause-clause subsumptions : 38
% 0.08/0.25 % Unit Clause-clause subsumption calls : 12
% 0.08/0.25 % Rewrite failures with RHS unbound : 0
% 0.08/0.25 % BW rewrite match attempts : 23
% 0.08/0.25 % BW rewrite match successes : 14
% 0.08/0.25 % Condensation attempts : 0
% 0.08/0.25 % Condensation successes : 0
% 0.08/0.25 % Termbank termtop insertions : 9906
% 0.08/0.25 % Search garbage collected termcells : 2547
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.011 s
% 0.08/0.25 % System time : 0.002 s
% 0.08/0.25 % Total time : 0.013 s
% 0.08/0.25 % Maximum resident set size: 4228 pages
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.056 s
% 0.08/0.25 % System time : 0.013 s
% 0.08/0.25 % Total time : 0.069 s
% 0.08/0.25 % Maximum resident set size: 4864 pages
% 0.08/0.25 % E exiting
%------------------------------------------------------------------------------