%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:11:40 PM UTC 2026
% Result : Theorem 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 124 ( 73 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 143 ( 44 ~; 65 |; 28 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 10 sgn 45 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof('T-Progress-T-var',conjecture,
! [X15,X9] :
( ( ~ visValue(vvar(X9))
& vtcheck(vempty,vvar(X9),X15) )
=> ? [X35] : vreduce(vvar(X9)) = vsomeExp(X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-var') ).
fof(lookup0,axiom,
! [X9,X1,X16,X19] :
( ( X16 = vempty
& X1 = X9 )
=> ( X19 = vlookup(X1,X16)
=> X19 = vnoType ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup0) ).
fof('DIFF-var-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof('DIFF-noType-someType',axiom,
! [X3] : vnoType != vsomeType(X3),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X12,X13,X10] :
( vtcheck(X20,X13,X10)
& vtcheck(X20,X12,varrow(X10,X15))
& X11 = vapp(X12,X13) )
| ? [X9,X13,X33,X34] :
( vtcheck(vbind(X9,X33,X20),X13,X34)
& X15 = varrow(X33,X34)
& X11 = vabs(X9,X33,X13) )
| ? [X9] :
( vlookup(X9,X20) = vsomeType(X15)
& X11 = vvar(X9) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof(c_0_6,negated_conjecture,
~ ! [X15,X9] :
( ( ~ visValue(vvar(X9))
& vtcheck(vempty,vvar(X9),X15) )
=> ? [X35] : vreduce(vvar(X9)) = vsomeExp(X35) ),
inference(assume_negation,[status(cth)],['T-Progress-T-var']) ).
fof(c_0_7,negated_conjecture,
~ ! [X15,X9] :
( ( ~ visValue(vvar(X9))
& vtcheck(vempty,vvar(X9),X15) )
=> ? [X35] : vreduce(vvar(X9)) = vsomeExp(X35) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X102,X103,X104,X105] :
( X105 = vnoType
| X105 != vlookup(X103,X104)
| X104 != vempty
| X103 != X102 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup0])])]) ).
fof(c_0_9,plain,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
inference(fof_simplification,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_10,plain,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
inference(fof_simplification,[status(thm)],['DIFF-var-app']) ).
fof(c_0_11,plain,
! [X3] : vnoType != vsomeType(X3),
inference(fof_simplification,[status(thm)],['DIFF-noType-someType']) ).
fof(c_0_12,plain,
! [X286,X287,X288] :
( ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287)) )
& ( ~ vtcheck(X288,X286,X287)
| X286 = vvar(esk24_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])])]) ).
fof(c_0_13,negated_conjecture,
! [X309] :
( vreduce(vvar(esk33_0)) != vsomeExp(X309)
& ~ visValue(vvar(esk33_0))
& vtcheck(vempty,vvar(esk33_0),esk32_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_7])])])])]) ).
cnf(c_0_14,plain,
( X4 != vlookup(X1,X3)
| X3 != vempty
| X1 != X2
| X4 = vnoType ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
fof(c_0_16,plain,
! [X52,X53,X54] : vvar(X52) != vapp(X53,X54),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_17,plain,
! [X95] : vnoType != vsomeType(X95),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
cnf(c_0_18,plain,
( ~ vtcheck(X3,X1,X2)
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
vtcheck(vempty,vvar(esk33_0),esk32_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
vlookup(X1,vempty) = vnoType,
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])])]) ).
cnf(c_0_21,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
vnoType != vsomeType(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM149+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:18:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 0.19/0.55 % Version: 3.5.1
% 0.19/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.55 % Starting sh5l with 300s (1) cores
% 0.19/0.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1083368 completed with status 0
% 0.19/0.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.55 % No SInE strategy applied
% 0.19/0.55 % Search class: FGHSF-FSLF32-MFFFFFNN
% 0.19/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.55 % Starting G-E--_107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.19/0.55 % Starting new_bool_3 with 136s (1) cores
% 0.19/0.55 % Starting new_bool_1 with 136s (1) cores
% 0.19/0.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1083375 completed with status 0
% 0.19/0.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.19/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.55 % No SInE strategy applied
% 0.19/0.55 % Search class: FGHSF-FSLF32-MFFFFFNN
% 0.19/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.19/0.55 % Preprocessing time : 0.008 s
% 0.19/0.55 % Presaturation interreduction done
% 0.19/0.55
% 0.19/0.55 % Proof found!
% 0.19/0.55 % SZS status Theorem
% 0.19/0.55 % SZS output start CNFRefutation
% See solution above
% 0.19/0.55 % Parsed axioms : 57
% 0.19/0.55 % Removed by relevancy pruning/SinE : 0
% 0.19/0.55 % Initial clauses : 423
% 0.19/0.55 % Removed in clause preprocessing : 13
% 0.19/0.55 % Initial clauses in saturation : 410
% 0.19/0.55 % Processed clauses : 754
% 0.19/0.55 % ...of these trivial : 0
% 0.19/0.55 % ...subsumed : 41
% 0.19/0.55 % ...remaining for further processing : 713
% 0.19/0.55 % Other redundant clauses eliminated : 164
% 0.19/0.55 % Clauses deleted for lack of memory : 0
% 0.19/0.55 % Backward-subsumed : 1
% 0.19/0.55 % Backward-rewritten : 36
% 0.19/0.55 % Generated clauses : 760
% 0.19/0.55 % ...of the previous two non-redundant : 754
% 0.19/0.55 % ...aggressively subsumed : 0
% 0.19/0.55 % Contextual simplify-reflections : 0
% 0.19/0.55 % Paramodulations : 635
% 0.19/0.55 % Factorizations : 0
% 0.19/0.55 % NegExts : 0
% 0.19/0.55 % Equation resolutions : 177
% 0.19/0.55 % Disequality decompositions : 0
% 0.19/0.55 % Total rewrite steps : 49
% 0.19/0.55 % ...of those cached : 41
% 0.19/0.55 % Propositional unsat checks : 0
% 0.19/0.55 % Propositional check models : 0
% 0.19/0.55 % Propositional check unsatisfiable : 0
% 0.19/0.55 % Propositional clauses : 0
% 0.19/0.55 % Propositional clauses after purity: 0
% 0.19/0.55 % Propositional unsat core size : 0
% 0.19/0.55 % Propositional preprocessing time : 0.000
% 0.19/0.55 % Propositional encoding time : 0.000
% 0.19/0.55 % Propositional solver time : 0.000
% 0.19/0.55 % Success case prop preproc time : 0.000
% 0.19/0.55 % Success case prop encoding time : 0.000
% 0.19/0.55 % Success case prop solver time : 0.000
% 0.19/0.55 % Current number of processed clauses : 214
% 0.19/0.55 % Positive orientable unit clauses : 14
% 0.19/0.55 % Positive unorientable unit clauses: 0
% 0.19/0.55 % Negative unit clauses : 12
% 0.19/0.55 % Non-unit-clauses : 188
% 0.19/0.55 % Current number of unprocessed clauses: 778
% 0.19/0.55 % ...number of literals in the above : 3196
% 0.19/0.55 % Current number of archived formulas : 0
% 0.19/0.55 % Current number of archived clauses : 405
% 0.19/0.55 % Clause-clause subsumption calls (NU) : 70658
% 0.19/0.55 % Rec. Clause-clause subsumption calls : 16932
% 0.19/0.55 % Non-unit clause-clause subsumptions : 40
% 0.19/0.55 % Unit Clause-clause subsumption calls : 2621
% 0.19/0.55 % Rewrite failures with RHS unbound : 0
% 0.19/0.55 % BW rewrite match attempts : 15
% 0.19/0.55 % BW rewrite match successes : 2
% 0.19/0.55 % Condensation attempts : 0
% 0.19/0.55 % Condensation successes : 0
% 0.19/0.55 % Termbank termtop insertions : 46186
% 0.19/0.55 % Search garbage collected termcells : 3969
% 0.19/0.55
% 0.19/0.55 % -------------------------------------------------
% 0.19/0.55 % User time : 0.108 s
% 0.19/0.55 % System time : 0.004 s
% 0.19/0.55 % Total time : 0.112 s
% 0.19/0.55 % Maximum resident set size: 4516 pages
% 0.19/0.55
% 0.19/0.55 % -------------------------------------------------
% 0.19/0.55 % User time : 0.499 s
% 0.19/0.55 % System time : 0.031 s
% 0.19/0.55 % Total time : 0.530 s
% 0.19/0.55 % Maximum resident set size: 4864 pages
% 0.19/0.55 % E exiting
%------------------------------------------------------------------------------