%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : AGT037^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 07:44:33 AM UTC 2026
% Result : Theorem 0.12s 0.27s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 16 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 189 ( 31 ~; 19 |; 1 &; 138 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 75 ( 40 ^; 35 !; 0 ?; 75 :)
% 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_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_39,type,
mdia: ( $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_57,type,
jan: mu ).
thf(decl_58,type,
piotr: mu ).
thf(decl_59,type,
cola: mu ).
thf(decl_61,type,
beer: mu ).
thf(decl_62,type,
likes: mu > mu > $i > $o ).
thf(decl_64,type,
possibly_likes: mu > mu > $i > $o ).
thf(decl_66,type,
esk2_1: $i > $i ).
thf(decl_70,type,
esk6_0: $i ).
thf(mdia,axiom,
( mdia
= ( ^ [X13: $i > $i > $o,X6: $i > $o] : ( mnot @ ( mbox @ X13 @ ( mnot @ X6 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',mdia) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',mnot) ).
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.VA15VFuBv4/E---3.1_3854346.p',mbox) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',mimplies) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',mor) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',mvalid) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [X8: mu > $i > $o,X3: $i] :
! [X1: mu] : ( X8 @ X1 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',mforall_ind) ).
thf(axiom_a1_1,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',axiom_a1_1) ).
thf(axiom_a3_3,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',axiom_a3_3) ).
thf(axiom_user_communication_3,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X1: mu] :
( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X1 @ X2 ) ) @ ( possibly_likes @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',axiom_user_communication_3) ).
thf(conj,conjecture,
mvalid @ ( possibly_likes @ jan @ cola ),
file('/export/starexec/sandbox/tmp/tmp.VA15VFuBv4/E---3.1_3854346.p',conj) ).
thf(c_0_11,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_12,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_13,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_14,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_15,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_16,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_17,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_11,c_0_12]),c_0_13]) ).
thf(c_0_18,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_14,c_0_12]),c_0_15]) ).
thf(c_0_19,plain,
( mforall_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
! [X1: mu] : ( Z0 @ X1 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mforall_ind]) ).
thf(c_0_20,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_13]),c_0_16])]) ).
thf(c_0_21,plain,
! [X50: $i] :
~ ! [X49: $i] :
( ~ ( a1 @ X50 @ X49 )
| ~ ( likes @ piotr @ beer @ X49 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a3_3,c_0_17]),c_0_16])]) ).
thf(c_0_22,plain,
! [X68: $i,X67: mu,X66: mu] :
( ~ ~ ! [X65: $i] :
( ~ ( a1 @ X68 @ X65 )
| ~ ( likes @ X67 @ X66 @ X65 ) )
| ( possibly_likes @ X67 @ X66 @ X68 ) ),
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_3]),c_0_18]),c_0_19]),c_0_17]),c_0_16])]) ).
thf(c_0_23,plain,
! [X78: $i,X79: $i] :
( ~ ( a1 @ X78 @ X79 )
| ( likes @ jan @ cola @ X79 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).
thf(c_0_24,plain,
! [X106: $i] :
( ( a1 @ X106 @ ( esk2_1 @ X106 ) )
& ( likes @ piotr @ beer @ ( esk2_1 @ X106 ) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
thf(c_0_25,negated_conjecture,
~ ( mvalid @ ( possibly_likes @ jan @ cola ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_26,plain,
! [X122: $i,X123: mu,X124: mu,X125: $i] :
( ~ ( a1 @ X122 @ X125 )
| ~ ( likes @ X123 @ X124 @ X125 )
| ( possibly_likes @ X123 @ X124 @ X122 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
thf(c_0_27,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ X14 )
| ~ ( a1 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_28,plain,
! [X3: $i] : ( a1 @ X3 @ ( esk2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_29,negated_conjecture,
~ ! [X77: $i] : ( possibly_likes @ jan @ cola @ X77 ),
inference(apply_def,[status(thm)],[c_0_25,c_0_16]) ).
thf(c_0_30,plain,
! [X3: $i,X2: mu,X1: mu,X14: $i] :
( ( possibly_likes @ X1 @ X2 @ X3 )
| ~ ( a1 @ X3 @ X14 )
| ~ ( likes @ X1 @ X2 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_31,plain,
! [X3: $i] : ( likes @ jan @ cola @ ( esk2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_32,negated_conjecture,
~ ( possibly_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_29])])])]) ).
thf(c_0_33,plain,
! [X3: $i,X14: $i] :
( ( possibly_likes @ jan @ cola @ X3 )
| ~ ( a1 @ X3 @ ( esk2_1 @ X14 ) ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_34,negated_conjecture,
~ ( possibly_likes @ jan @ cola @ esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_35,plain,
! [X3: $i] : ( possibly_likes @ jan @ cola @ X3 ),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
thf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT037^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n015.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 17:34:03 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running higher-order theorem proving
% 0.12/0.25 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.VA15VFuBv4/E---3.1_3854346.p
% 0.12/0.27 % Version: 3.5.1-ho
% 0.12/0.27 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.12/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.27 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.27 % Starting post_as_ho3 with 300s (1) cores
% 0.12/0.27 % Starting new_ho_12 with 300s (1) cores
% 0.12/0.27 % Starting new_bool_2 with 300s (1) cores
% 0.12/0.27 % post_as_ho3 with pid 3854360 completed with status 0
% 0.12/0.27 % Result found by post_as_ho3
% 0.12/0.27 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.12/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.27 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.27 % Starting post_as_ho3 with 300s (1) cores
% 0.12/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.27 % No SInE strategy applied
% 0.12/0.27 % Search class: HGUNM-FFMF32-SHSSMFNN
% 0.12/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.27 % SubtermCWHack with pid 3854363 completed with status 0
% 0.12/0.27 % Result found by SubtermCWHack
% 0.12/0.27 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.12/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.27 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.27 % Starting post_as_ho3 with 300s (1) cores
% 0.12/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.27 % No SInE strategy applied
% 0.12/0.27 % Search class: HGUNM-FFMF32-SHSSMFNN
% 0.12/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.27 % Preprocessing time : 0.002 s
% 0.12/0.27
% 0.12/0.27 % Proof found!
% 0.12/0.27 % SZS status Theorem
% 0.12/0.27 % SZS output start CNFRefutation
% See solution above
% 0.12/0.27 % Parsed axioms : 93
% 0.12/0.27 % Removed by relevancy pruning/SinE : 0
% 0.12/0.27 % Initial clauses : 68
% 0.12/0.27 % Removed in clause preprocessing : 43
% 0.12/0.27 % Initial clauses in saturation : 25
% 0.12/0.27 % Processed clauses : 31
% 0.12/0.27 % ...of these trivial : 0
% 0.12/0.27 % ...subsumed : 0
% 0.12/0.27 % ...remaining for further processing : 31
% 0.12/0.27 % Other redundant clauses eliminated : 0
% 0.12/0.27 % Clauses deleted for lack of memory : 0
% 0.12/0.27 % Backward-subsumed : 0
% 0.12/0.27 % Backward-rewritten : 6
% 0.12/0.27 % Generated clauses : 24
% 0.12/0.27 % ...of the previous two non-redundant : 22
% 0.12/0.27 % ...aggressively subsumed : 0
% 0.12/0.27 % Contextual simplify-reflections : 0
% 0.12/0.27 % Paramodulations : 24
% 0.12/0.27 % Factorizations : 0
% 0.12/0.27 % NegExts : 0
% 0.12/0.27 % Equation resolutions : 0
% 0.12/0.27 % Disequality decompositions : 0
% 0.12/0.27 % Total rewrite steps : 8
% 0.12/0.27 % ...of those cached : 1
% 0.12/0.27 % Propositional unsat checks : 0
% 0.12/0.27 % Propositional check models : 0
% 0.12/0.27 % Propositional check unsatisfiable : 0
% 0.12/0.27 % Propositional clauses : 0
% 0.12/0.27 % Propositional clauses after purity: 0
% 0.12/0.27 % Propositional unsat core size : 0
% 0.12/0.27 % Propositional preprocessing time : 0.000
% 0.12/0.27 % Propositional encoding time : 0.000
% 0.12/0.27 % Propositional solver time : 0.000
% 0.12/0.27 % Success case prop preproc time : 0.000
% 0.12/0.27 % Success case prop encoding time : 0.000
% 0.12/0.27 % Success case prop solver time : 0.000
% 0.12/0.27 % Current number of processed clauses : 25
% 0.12/0.27 % Positive orientable unit clauses : 12
% 0.12/0.27 % Positive unorientable unit clauses: 0
% 0.12/0.27 % Negative unit clauses : 0
% 0.12/0.27 % Non-unit-clauses : 13
% 0.12/0.27 % Current number of unprocessed clauses: 16
% 0.12/0.27 % ...number of literals in the above : 49
% 0.12/0.27 % Current number of archived formulas : 0
% 0.12/0.27 % Current number of archived clauses : 6
% 0.12/0.27 % Clause-clause subsumption calls (NU) : 4
% 0.12/0.27 % Rec. Clause-clause subsumption calls : 4
% 0.12/0.27 % Non-unit clause-clause subsumptions : 0
% 0.12/0.27 % Unit Clause-clause subsumption calls : 5
% 0.12/0.27 % Rewrite failures with RHS unbound : 0
% 0.12/0.27 % BW rewrite match attempts : 11
% 0.12/0.27 % BW rewrite match successes : 5
% 0.12/0.27 % Condensation attempts : 0
% 0.12/0.27 % Condensation successes : 0
% 0.12/0.27 % Termbank termtop insertions : 6885
% 0.12/0.27 % Search garbage collected termcells : 2547
% 0.12/0.27
% 0.12/0.27 % -------------------------------------------------
% 0.12/0.27 % User time : 0.008 s
% 0.12/0.27 % System time : 0.001 s
% 0.12/0.27 % Total time : 0.009 s
% 0.12/0.27 % Maximum resident set size: 4228 pages
% 0.12/0.27
% 0.12/0.27 % -------------------------------------------------
% 0.12/0.27 % User time : 0.012 s
% 0.12/0.27 % System time : 0.005 s
% 0.12/0.27 % Total time : 0.017 s
% 0.12/0.27 % Maximum resident set size: 4864 pages
% 0.12/0.27 % E exiting
%------------------------------------------------------------------------------