%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM256_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:11:48 PM UTC 2026
% Result : Theorem 0.93s 0.57s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vQMap: $tType ).
tff(decl_sort2,type,
vMapConf: $tType ).
tff(decl_sort3,type,
vQuestionnaire: $tType ).
tff(decl_sort4,type,
vAnsMap: $tType ).
tff(decl_sort5,type,
vQConf: $tType ).
tff(decl_sort6,type,
vOptQConf: $tType ).
tff(decl_sort7,type,
vATMap: $tType ).
tff(decl_50,type,
vqempty: vQuestionnaire ).
tff(decl_51,type,
vsomeQConf: vQConf > vOptQConf ).
tff(decl_52,type,
vnoQConf: vOptQConf ).
tff(decl_56,type,
vQC: ( vQuestionnaire * ( vQMap * vAnsMap ) ) > vQConf ).
tff(decl_63,type,
vMC: ( vATMap * vATMap ) > vMapConf ).
tff(decl_94,type,
vtypeAM: vAnsMap > vATMap ).
tff(decl_113,type,
vreduce: ( vQMap * ( vAnsMap * vQuestionnaire ) ) > vOptQConf ).
tff(decl_117,type,
vtypeQM: vQMap > vATMap ).
tff(decl_130,type,
vptcheck: ( vMapConf * ( vQuestionnaire * vMapConf ) ) > $o ).
tff(decl_398,type,
esk236_0: vATMap ).
tff(decl_399,type,
esk237_0: vQuestionnaire ).
tff(decl_400,type,
esk238_0: vQMap ).
tff(decl_401,type,
esk239_0: vAnsMap ).
tff(decl_402,type,
esk240_0: vATMap ).
tff(decl_403,type,
esk241_0: vAnsMap ).
tff(decl_404,type,
esk242_0: vQMap ).
tff('Preservation-qempty',conjecture,
! [X500: vATMap,X501: vQuestionnaire,X150: vQMap,X372: vAnsMap,X357: vATMap,X126: vAnsMap,X375: vQMap] :
( ( ( vreduce(vqempty,X126,X150) = vsomeQConf(vQC(X372,X375,X501)) )
& vptcheck(vMC(vtypeAM(X126),vtypeQM(X150)),vqempty,vMC(X357,X500)) )
=> vptcheck(vMC(vtypeAM(X372),vtypeQM(X375)),X501,vMC(X357,X500)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-qempty') ).
tff('DIFF-noQConf-someQConf',axiom,
! [X44: vQConf] : ( vnoQConf != vsomeQConf(X44) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noQConf-someQConf') ).
tff('reduce-0',axiom,
! [X272: vAnsMap,X273: vQMap] : ( vreduce(vqempty,X272,X273) = vnoQConf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-0') ).
tff(c_0_3,negated_conjecture,
~ ! [X500: vATMap,X501: vQuestionnaire,X150: vQMap,X372: vAnsMap,X357: vATMap,X126: vAnsMap,X375: vQMap] :
( ( ( vreduce(vqempty,X126,X150) = vsomeQConf(vQC(X372,X375,X501)) )
& vptcheck(vMC(vtypeAM(X126),vtypeQM(X150)),vqempty,vMC(X357,X500)) )
=> vptcheck(vMC(vtypeAM(X372),vtypeQM(X375)),X501,vMC(X357,X500)) ),
inference(assume_negation,[status(cth)],['Preservation-qempty']) ).
tff(c_0_4,plain,
! [X44: vQConf] : ( vnoQConf != vsomeQConf(X44) ),
inference(fof_simplification,[status(thm)],['DIFF-noQConf-someQConf']) ).
tff(c_0_5,negated_conjecture,
( ~ vptcheck(vMC(vtypeAM(esk239_0),vtypeQM(esk242_0)),esk237_0,vMC(esk240_0,esk236_0))
& ( vreduce(vqempty,esk241_0,esk238_0) = vsomeQConf(vQC(esk239_0,esk242_0,esk237_0)) )
& vptcheck(vMC(vtypeAM(esk241_0),vtypeQM(esk238_0)),vqempty,vMC(esk240_0,esk236_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
tff(c_0_6,plain,
! [X1148: vAnsMap,X1149: vQMap] : ( vreduce(vqempty,X1148,X1149) = vnoQConf ),
inference(variable_rename,[status(thm)],['reduce-0']) ).
tff(c_0_7,plain,
! [X704: vQConf] : ( vnoQConf != vsomeQConf(X704) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])]) ).
tcf(c_0_8,negated_conjecture,
vreduce(vqempty,esk241_0,esk238_0) = vsomeQConf(vQC(esk239_0,esk242_0,esk237_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X55: vAnsMap,X11: vQMap] : vreduce(vqempty,X55,X11) = vnoQConf,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
! [X44: vQConf] : vnoQConf != vsomeQConf(X44),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM256_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 14:20:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.93/0.57 % Version: 3.5.1
% 0.93/0.57 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.93/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.93/0.57 % Starting new_bool_3 with 600s (2) cores
% 0.93/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.93/0.57 % Starting sh5l with 300s (1) cores
% 0.93/0.57 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 1992604 completed with status 0
% 0.93/0.57 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.93/0.57 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.93/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.93/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.93/0.57 % No SInE strategy applied
% 0.93/0.57 % Search class: FGUSM-SMLM32-DFFFFFNN
% 0.93/0.57 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.93/0.57 % Starting SubtermCWHack with 109s (1) cores
% 0.93/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.93/0.57 % Starting sh3 with 217s (1) cores
% 0.93/0.57 % Starting ho_unfolding_3 with 217s (1) cores
% 0.93/0.57 % ho_unfolding_3 with pid 1992615 completed with status 0
% 0.93/0.57 % Result found by ho_unfolding_3
% 0.93/0.57 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.93/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.93/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.93/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.93/0.57 % No SInE strategy applied
% 0.93/0.57 % Search class: FGUSM-SMLM32-DFFFFFNN
% 0.93/0.57 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.93/0.57 % Starting SubtermCWHack with 109s (1) cores
% 0.93/0.57 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.93/0.57 % Starting sh3 with 217s (1) cores
% 0.93/0.57 % Starting ho_unfolding_3 with 217s (1) cores
% 0.93/0.57 % Preprocessing time : 0.032 s
% 0.93/0.57 % Presaturation interreduction done
% 0.93/0.57
% 0.93/0.57 % Proof found!
% 0.93/0.57 % SZS status Theorem
% 0.93/0.57 % SZS output start CNFRefutation
% See solution above
% 0.93/0.57 % Parsed axioms : 504
% 0.93/0.57 % Removed by relevancy pruning/SinE : 0
% 0.93/0.57 % Initial clauses : 2524
% 0.93/0.57 % Removed in clause preprocessing : 150
% 0.93/0.57 % Initial clauses in saturation : 2374
% 0.93/0.57 % Processed clauses : 101
% 0.93/0.57 % ...of these trivial : 0
% 0.93/0.57 % ...subsumed : 3
% 0.93/0.57 % ...remaining for further processing : 98
% 0.93/0.57 % Other redundant clauses eliminated : 0
% 0.93/0.57 % Clauses deleted for lack of memory : 0
% 0.93/0.57 % Backward-subsumed : 0
% 0.93/0.57 % Backward-rewritten : 1
% 0.93/0.57 % Generated clauses : 0
% 0.93/0.57 % ...of the previous two non-redundant : 0
% 0.93/0.57 % ...aggressively subsumed : 0
% 0.93/0.57 % Contextual simplify-reflections : 0
% 0.93/0.57 % Paramodulations : 0
% 0.93/0.57 % Factorizations : 0
% 0.93/0.57 % NegExts : 0
% 0.93/0.57 % Equation resolutions : 0
% 0.93/0.57 % Disequality decompositions : 0
% 0.93/0.57 % Total rewrite steps : 1
% 0.93/0.57 % ...of those cached : 0
% 0.93/0.57 % Propositional unsat checks : 0
% 0.93/0.57 % Propositional check models : 0
% 0.93/0.57 % Propositional check unsatisfiable : 0
% 0.93/0.57 % Propositional clauses : 0
% 0.93/0.57 % Propositional clauses after purity: 0
% 0.93/0.57 % Propositional unsat core size : 0
% 0.93/0.57 % Propositional preprocessing time : 0.000
% 0.93/0.57 % Propositional encoding time : 0.000
% 0.93/0.57 % Propositional solver time : 0.000
% 0.93/0.57 % Success case prop preproc time : 0.000
% 0.93/0.57 % Success case prop encoding time : 0.000
% 0.93/0.57 % Success case prop solver time : 0.000
% 0.93/0.57 % Current number of processed clauses : 97
% 0.93/0.57 % Positive orientable unit clauses : 14
% 0.93/0.57 % Positive unorientable unit clauses: 2
% 0.93/0.57 % Negative unit clauses : 75
% 0.93/0.57 % Non-unit-clauses : 6
% 0.93/0.57 % Current number of unprocessed clauses: 2273
% 0.93/0.57 % ...number of literals in the above : 8557
% 0.93/0.57 % Current number of archived formulas : 0
% 0.93/0.57 % Current number of archived clauses : 7
% 0.93/0.57 % Clause-clause subsumption calls (NU) : 7
% 0.93/0.57 % Rec. Clause-clause subsumption calls : 7
% 0.93/0.57 % Non-unit clause-clause subsumptions : 3
% 0.93/0.57 % Unit Clause-clause subsumption calls : 2162
% 0.93/0.57 % Rewrite failures with RHS unbound : 0
% 0.93/0.57 % BW rewrite match attempts : 24
% 0.93/0.57 % BW rewrite match successes : 2
% 0.93/0.57 % Condensation attempts : 101
% 0.93/0.57 % Condensation successes : 0
% 0.93/0.57 % Termbank termtop insertions : 89058
% 0.93/0.57 % Search garbage collected termcells : 16329
% 0.93/0.57
% 0.93/0.57 % -------------------------------------------------
% 0.93/0.57 % User time : 0.116 s
% 0.93/0.57 % System time : 0.010 s
% 0.93/0.57 % Total time : 0.126 s
% 0.93/0.57 % Maximum resident set size: 8884 pages
% 0.93/0.57
% 0.93/0.57 % -------------------------------------------------
% 0.93/0.57 % User time : 0.229 s
% 0.93/0.57 % System time : 0.039 s
% 0.93/0.57 % Total time : 0.268 s
% 0.93/0.57 % Maximum resident set size: 5632 pages
% 0.93/0.57 % E exiting
%------------------------------------------------------------------------------