%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM274_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Thu Sep 24 12:11:50 PM UTC 2026
% Result : Theorem 0.15s 5.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 42 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 78 ( 37 ~; 16 |; 17 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 57 ( 0 sgn 51 !; 6 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vAnsMap: $tType ).
tff(decl_sort2,type,
vExp: $tType ).
tff(decl_sort3,type,
vAType: $tType ).
tff(decl_sort4,type,
vOptExp: $tType ).
tff(decl_sort5,type,
vBinOpT: $tType ).
tff(decl_sort6,type,
vOptAType: $tType ).
tff(decl_sort7,type,
vATMap: $tType ).
tff(decl_27,type,
vsomeExp: vExp > vOptExp ).
tff(decl_33,type,
vnoAType: vOptAType ).
tff(decl_35,type,
ve1: vExp ).
tff(decl_54,type,
vnoExp: vOptExp ).
tff(decl_55,type,
vbinop: ( vExp * ( vBinOpT * vExp ) ) > vExp ).
tff(decl_75,type,
vsomeAType: vAType > vOptAType ).
tff(decl_76,type,
ve2: vExp ).
tff(decl_83,type,
vecheck: ( vExp * vATMap ) > vOptAType ).
tff(decl_93,type,
vexpIsValue: vExp > $o ).
tff(decl_96,type,
vtypeAM: vAnsMap > vATMap ).
tff(decl_103,type,
visSomeAType: vOptAType > $o ).
tff(decl_120,type,
visSomeExp: vOptExp > $o ).
tff(decl_128,type,
vreduceExp: ( vAnsMap * vExp ) > vOptExp ).
tff(decl_150,type,
esk1_0: vAnsMap ).
tff(decl_151,type,
esk2_0: vBinOpT ).
tff(decl_152,type,
esk3_0: vAType ).
tff(decl_161,type,
esk12_1: vAnsMap > vExp ).
tff(decl_174,type,
esk25_1: vOptAType > vAType ).
tff('reduceExpProgress-binop-expIsValue-False-isSomeExp-False',conjecture,
! [X126: vAnsMap,X501: vBinOpT,X73: vAType] :
( ( ( vecheck(vtypeAM(X126),vbinop(ve1,X501,ve2)) = vsomeAType(X73) )
& ~ vexpIsValue(vbinop(ve1,X501,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,X126)) )
=> ? [X502: vExp] : ( vreduceExp(vbinop(ve1,X501,ve2),X126) = vsomeExp(X502) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduceExpProgress-binop-expIsValue-False-isSomeExp-False') ).
tff('reduceExpProgress-binop-IH0',axiom,
! [X126: vAnsMap,X73: vAType] :
( ( ( vecheck(vtypeAM(X126),ve1) = vsomeAType(X73) )
& ~ vexpIsValue(ve1) )
=> ? [X500: vExp] : ( vreduceExp(ve1,X126) = vsomeExp(X500) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduceExpProgress-binop-IH0') ).
tff('dom-OptAType',axiom,
! [X46: vOptAType] :
( ? [X4: vAType] : ( X46 = vsomeAType(X4) )
| ( X46 = vnoAType ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-OptAType') ).
tff('isSomeExp-1',axiom,
! [X170: vExp] : visSomeExp(vsomeExp(X170)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeExp-1') ).
tff('isSomeAType-0',axiom,
~ visSomeAType(vnoAType),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeAType-0') ).
tff('isSomeExp-false-INV',axiom,
! [X171: vOptExp] :
( ~ visSomeExp(X171)
=> ( X171 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeExp-false-INV') ).
tff('echeck-5',axiom,
! [X355: vATMap,X228: vExp,X229: vExp,X230: vBinOpT] :
( ~ ( visSomeAType(vecheck(X355,X229))
& visSomeAType(vecheck(X355,X228)) )
=> ( vecheck(X355,vbinop(X228,X230,X229)) = vnoAType ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','echeck-5') ).
tff('DIFF-noAType-someAType',axiom,
! [X4: vAType] : ( vnoAType != vsomeAType(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noAType-someAType') ).
tff('isSomeExp-0',axiom,
~ visSomeExp(vnoExp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeExp-0') ).
tff(c_0_9,negated_conjecture,
~ ! [X126: vAnsMap,X501: vBinOpT,X73: vAType] :
( ( ( vecheck(vtypeAM(X126),vbinop(ve1,X501,ve2)) = vsomeAType(X73) )
& ~ vexpIsValue(vbinop(ve1,X501,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,X126)) )
=> ? [X502: vExp] : ( vreduceExp(vbinop(ve1,X501,ve2),X126) = vsomeExp(X502) ) ),
inference(assume_negation,[status(cth)],['reduceExpProgress-binop-expIsValue-False-isSomeExp-False']) ).
tff(c_0_10,plain,
! [X126: vAnsMap,X73: vAType] :
( ( ( vecheck(vtypeAM(X126),ve1) = vsomeAType(X73) )
& ~ vexpIsValue(ve1) )
=> ? [X500: vExp] : ( vreduceExp(ve1,X126) = vsomeExp(X500) ) ),
inference(fof_simplification,[status(thm)],['reduceExpProgress-binop-IH0']) ).
tff(c_0_11,negated_conjecture,
~ ! [X126: vAnsMap,X501: vBinOpT,X73: vAType] :
( ( ( vecheck(vtypeAM(X126),vbinop(ve1,X501,ve2)) = vsomeAType(X73) )
& ~ vexpIsValue(vbinop(ve1,X501,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,X126)) )
=> ? [X502: vExp] : ( vreduceExp(vbinop(ve1,X501,ve2),X126) = vsomeExp(X502) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
tff(c_0_12,plain,
! [X553: vAnsMap,X554: vAType] :
( ( vreduceExp(ve1,X553) = vsomeExp(esk12_1(X553)) )
| ( vecheck(vtypeAM(X553),ve1) != vsomeAType(X554) )
| vexpIsValue(ve1) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
tff(c_0_13,negated_conjecture,
! [X506: vExp] :
( ( vreduceExp(vbinop(ve1,esk2_0,ve2),esk1_0) != vsomeExp(X506) )
& ( vecheck(vtypeAM(esk1_0),vbinop(ve1,esk2_0,ve2)) = vsomeAType(esk3_0) )
& ~ vexpIsValue(vbinop(ve1,esk2_0,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
tcf(c_0_14,plain,
! [X55: vAnsMap,X4: vAType] :
( ( vecheck(vtypeAM(X55),ve1) != vsomeAType(X4) )
| ( vreduceExp(ve1,X55) = vsomeExp(esk12_1(X55)) )
| vexpIsValue(ve1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_15,negated_conjecture,
~ vexpIsValue(ve1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tff(c_0_16,plain,
! [X646: vOptAType] :
( ( X646 = vsomeAType(esk25_1(X646)) )
| ( X646 = vnoAType ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['dom-OptAType'])]) ).
tff(c_0_17,plain,
! [X606: vExp] : visSomeExp(vsomeExp(X606)),
inference(variable_rename,[status(thm)],['isSomeExp-1']) ).
tcf(c_0_18,plain,
! [X55: vAnsMap,X4: vAType] :
( ( vecheck(vtypeAM(X55),ve1) != vsomeAType(X4) )
| ( vsomeExp(esk12_1(X55)) = vreduceExp(ve1,X55) ) ),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
tcf(c_0_19,plain,
! [X46: vOptAType] :
( ( X46 = vsomeAType(esk25_1(X46)) )
| ( X46 = vnoAType ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tff(c_0_20,plain,
~ visSomeAType(vnoAType),
inference(fof_simplification,[status(thm)],['isSomeAType-0']) ).
tff(c_0_21,plain,
! [X171: vOptExp] :
( ~ visSomeExp(X171)
=> ( X171 = vnoExp ) ),
inference(fof_simplification,[status(thm)],['isSomeExp-false-INV']) ).
tff(c_0_22,plain,
! [X546: vATMap,X547: vExp,X548: vExp,X549: vBinOpT] :
( ( ( vecheck(X546,vbinop(X547,X549,X548)) = vnoAType )
| visSomeAType(vecheck(X546,X548)) )
& ( ( vecheck(X546,vbinop(X547,X549,X548)) = vnoAType )
| visSomeAType(vecheck(X546,X547)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['echeck-5'])])]) ).
tcf(c_0_23,plain,
! [X5: vExp] : visSomeExp(vsomeExp(X5)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_24,plain,
! [X55: vAnsMap] :
( ( vecheck(vtypeAM(X55),ve1) = vnoAType )
| ( vsomeExp(esk12_1(X55)) = vreduceExp(ve1,X55) ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]) ).
tff(c_0_25,plain,
~ visSomeAType(vnoAType),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
tff(c_0_26,plain,
! [X609: vOptExp] :
( ( X609 = vnoExp )
| visSomeExp(X609) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
tff(c_0_27,plain,
! [X4: vAType] : ( vnoAType != vsomeAType(X4) ),
inference(fof_simplification,[status(thm)],['DIFF-noAType-someAType']) ).
tff(c_0_28,plain,
~ visSomeExp(vnoExp),
inference(fof_simplification,[status(thm)],['isSomeExp-0']) ).
tcf(c_0_29,plain,
! [X5: vExp,X22: vBinOpT,X15: vATMap,X9: vExp] :
( ( vecheck(X15,vbinop(X5,X22,X9)) = vnoAType )
| visSomeAType(vecheck(X15,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
tcf(c_0_30,plain,
! [X55: vAnsMap] :
( visSomeExp(vreduceExp(ve1,X55))
| ( vecheck(vtypeAM(X55),ve1) = vnoAType ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
tcf(c_0_31,plain,
~ visSomeAType(vnoAType),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
tcf(c_0_32,negated_conjecture,
~ visSomeExp(vreduceExp(ve1,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_33,plain,
! [X53: vOptExp] :
( ( X53 = vnoExp )
| visSomeExp(X53) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
tff(c_0_34,plain,
! [X648: vAType] : ( vnoAType != vsomeAType(X648) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
tff(c_0_35,plain,
~ visSomeExp(vnoExp),
inference(fof_nnf,[status(thm)],[c_0_28]) ).
tcf(c_0_36,negated_conjecture,
vecheck(vtypeAM(esk1_0),vbinop(ve1,esk2_0,ve2)) = vsomeAType(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_37,plain,
! [X5: vExp,X22: vBinOpT,X55: vAnsMap] :
( visSomeExp(vreduceExp(ve1,X55))
| ( vecheck(vtypeAM(X55),vbinop(ve1,X22,X5)) = vnoAType ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
tcf(c_0_38,negated_conjecture,
vreduceExp(ve1,esk1_0) = vnoExp,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
tcf(c_0_39,plain,
! [X4: vAType] : vnoAType != vsomeAType(X4),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
tcf(c_0_40,plain,
~ visSomeExp(vnoExp),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM274_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.37 % Computer : n013.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 14:22:12 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.51 % Version: 3.5.1
% 0.15/5.51 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.51 % Starting new_bool_3 with 600s (2) cores
% 0.15/5.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.51 % Starting sh5l with 300s (1) cores
% 0.15/5.51 % new_bool_1 with pid 988224 completed with status 0
% 0.15/5.51 % Result found by new_bool_1
% 0.15/5.51 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.51 % Starting new_bool_3 with 600s (2) cores
% 0.15/5.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.51 % Search class: FGUSM-FSLM32-DFFFFFNN
% 0.15/5.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.51 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.51 % SubtermCWHack with pid 988226 completed with status 0
% 0.15/5.51 % Result found by SubtermCWHack
% 0.15/5.51 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.51 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/5.51 % Starting new_bool_3 with 600s (2) cores
% 0.15/5.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.51 % Search class: FGUSM-FSLM32-DFFFFFNN
% 0.15/5.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.51 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.51 % Preprocessing time : 0.008 s
% 0.15/5.51
% 0.15/5.51 % Proof found!
% 0.15/5.51 % SZS status Theorem
% 0.15/5.51 % SZS output start CNFRefutation
% See solution above
% 0.15/5.51 % Parsed axioms : 508
% 0.15/5.51 % Removed by relevancy pruning/SinE : 295
% 0.15/5.51 % Initial clauses : 687
% 0.15/5.51 % Removed in clause preprocessing : 0
% 0.15/5.51 % Initial clauses in saturation : 687
% 0.15/5.51 % Processed clauses : 775
% 0.15/5.51 % ...of these trivial : 33
% 0.15/5.51 % ...subsumed : 311
% 0.15/5.51 % ...remaining for further processing : 431
% 0.15/5.51 % Other redundant clauses eliminated : 171
% 0.15/5.51 % Clauses deleted for lack of memory : 0
% 0.15/5.51 % Backward-subsumed : 1
% 0.15/5.51 % Backward-rewritten : 7
% 0.15/5.51 % Generated clauses : 1582
% 0.15/5.51 % ...of the previous two non-redundant : 920
% 0.15/5.51 % ...aggressively subsumed : 0
% 0.15/5.51 % Contextual simplify-reflections : 4
% 0.15/5.51 % Paramodulations : 1323
% 0.15/5.51 % Factorizations : 46
% 0.15/5.51 % NegExts : 0
% 0.15/5.51 % Equation resolutions : 213
% 0.15/5.51 % Disequality decompositions : 0
% 0.15/5.51 % Total rewrite steps : 722
% 0.15/5.51 % ...of those cached : 592
% 0.15/5.51 % Propositional unsat checks : 0
% 0.15/5.51 % Propositional check models : 0
% 0.15/5.51 % Propositional check unsatisfiable : 0
% 0.15/5.51 % Propositional clauses : 0
% 0.15/5.51 % Propositional clauses after purity: 0
% 0.15/5.51 % Propositional unsat core size : 0
% 0.15/5.51 % Propositional preprocessing time : 0.000
% 0.15/5.51 % Propositional encoding time : 0.000
% 0.15/5.51 % Propositional solver time : 0.000
% 0.15/5.51 % Success case prop preproc time : 0.000
% 0.15/5.51 % Success case prop encoding time : 0.000
% 0.15/5.51 % Success case prop solver time : 0.000
% 0.15/5.51 % Current number of processed clauses : 423
% 0.15/5.51 % Positive orientable unit clauses : 81
% 0.15/5.51 % Positive unorientable unit clauses: 2
% 0.15/5.51 % Negative unit clauses : 78
% 0.15/5.51 % Non-unit-clauses : 262
% 0.15/5.51 % Current number of unprocessed clauses: 811
% 0.15/5.51 % ...number of literals in the above : 2866
% 0.15/5.51 % Current number of archived formulas : 0
% 0.15/5.51 % Current number of archived clauses : 8
% 0.15/5.51 % Clause-clause subsumption calls (NU) : 17513
% 0.15/5.51 % Rec. Clause-clause subsumption calls : 14795
% 0.15/5.51 % Non-unit clause-clause subsumptions : 251
% 0.15/5.51 % Unit Clause-clause subsumption calls : 2633
% 0.15/5.51 % Rewrite failures with RHS unbound : 16
% 0.15/5.51 % BW rewrite match attempts : 9
% 0.15/5.51 % BW rewrite match successes : 8
% 0.15/5.51 % Condensation attempts : 0
% 0.15/5.51 % Condensation successes : 0
% 0.15/5.51 % Termbank termtop insertions : 44123
% 0.15/5.51 % Search garbage collected termcells : 7857
% 0.15/5.51
% 0.15/5.51 % -------------------------------------------------
% 0.15/5.51 % User time : 0.056 s
% 0.15/5.51 % System time : 0.008 s
% 0.15/5.51 % Total time : 0.063 s
% 0.15/5.51 % Maximum resident set size: 5816 pages
% 0.15/5.51
% 0.15/5.51 % -------------------------------------------------
% 0.15/5.51 % User time : 0.072 s
% 0.15/5.51 % System time : 0.012 s
% 0.15/5.51 % Total time : 0.083 s
% 0.15/5.51 % Maximum resident set size: 5376 pages
% 0.15/5.51 % E exiting
%------------------------------------------------------------------------------