%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR077+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:16:35 PM UTC 2026
% Result : Theorem 5.88s 3.76s
% Output : CNFRefutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 133 ( 24 equ)
% Maximal formula atoms : 45 ( 3 avg)
% Number of connectives : 157 ( 59 ~; 68 |; 20 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 51 ( 9 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_26635,axiom,
! [X1,X15] :
( s__subclass(X1,X15)
=> ( s__instance(X15,s__SetOrClass)
& s__instance(X1,s__SetOrClass) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).
fof(kb_SUMO_32603,axiom,
! [X137,X12,X136] :
( X12 = s__UnionFn(X136,X137)
<=> ! [X1138,X34,X1139] :
( ( s__instance(X137,s__SetOrClass)
& s__instance(X12,s__SetOrClass)
& s__instance(X136,s__SetOrClass) )
=> ( ( s__instance(X1139,X12)
& s__instance(X34,X137)
& s__instance(X1138,X136) )
=> ( ( s__instance(X1139,X137)
| s__instance(X1139,X136) )
& s__instance(X34,X12)
& s__instance(X1138,X12) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).
fof(kb_SUMO_27743,axiom,
s__subclass(s__NegativeInteger,s__NegativeRealNumber),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_27743) ).
fof(kb_SUMO_32531,axiom,
! [X545] :
( s__instance(X545,s__RealNumber)
=> ( s__instance(X545,s__NegativeRealNumber)
=> s__SignumFn(X545) = "-1" ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32531) ).
fof(kb_SUMO_32529,axiom,
! [X545] :
( s__instance(X545,s__RealNumber)
=> ( s__instance(X545,s__NonnegativeRealNumber)
=> ( s__SignumFn(X545) = "0"
| s__SignumFn(X545) = "1" ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32529) ).
fof(kb_SUMO_26636,axiom,
! [X1,X15,X13] :
( ( s__instance(X1,s__SetOrClass)
& s__instance(X15,s__SetOrClass) )
=> ( ( s__instance(X13,X1)
& s__subclass(X1,X15) )
=> s__instance(X13,X15) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26636) ).
fof(prove_from_ALL,conjecture,
~ s__instance(s__Number3_1,s__NegativeRealNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).
fof(kb_SUMO_27718,axiom,
s__subclass(s__NegativeRealNumber,s__RealNumber),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_27718) ).
fof(local_1,axiom,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
fof(c_0_9,plain,
! [X2377,X2378] :
( ( ~ s__subclass(X2377,X2378)
| s__instance(X2378,s__SetOrClass) )
& ( ~ s__subclass(X2377,X2378)
| s__instance(X2377,s__SetOrClass) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])])]) ).
fof(c_0_10,plain,
! [X2490,X2491,X2492,X2493,X2494,X2495,X2496,X2497,X2498] :
( ( X2497 = s__UnionFn(X2498,X2496)
| ~ s__instance(esk8_3(X2496,X2497,X2498),X2497)
| ~ s__instance(esk7_3(X2496,X2497,X2498),X2497)
| ~ s__instance(esk9_3(X2496,X2497,X2498),X2496) )
& ( X2497 = s__UnionFn(X2498,X2496)
| ~ s__instance(esk8_3(X2496,X2497,X2498),X2497)
| ~ s__instance(esk7_3(X2496,X2497,X2498),X2497)
| ~ s__instance(esk9_3(X2496,X2497,X2498),X2498) )
& ( X2497 = s__UnionFn(X2498,X2496)
| s__instance(esk9_3(X2496,X2497,X2498),X2497) )
& ( X2497 = s__UnionFn(X2498,X2496)
| s__instance(esk8_3(X2496,X2497,X2498),X2496) )
& ( X2497 = s__UnionFn(X2498,X2496)
| s__instance(esk7_3(X2496,X2497,X2498),X2498) )
& ( X2497 = s__UnionFn(X2498,X2496)
| s__instance(X2496,s__SetOrClass) )
& ( X2497 = s__UnionFn(X2498,X2496)
| s__instance(X2497,s__SetOrClass) )
& ( X2497 = s__UnionFn(X2498,X2496)
| s__instance(X2498,s__SetOrClass) )
& ( X2491 != s__UnionFn(X2492,X2490)
| ~ s__instance(X2490,s__SetOrClass)
| ~ s__instance(X2491,s__SetOrClass)
| ~ s__instance(X2492,s__SetOrClass)
| ~ s__instance(X2495,X2491)
| ~ s__instance(X2494,X2490)
| ~ s__instance(X2493,X2492)
| s__instance(X2495,X2490)
| s__instance(X2495,X2492) )
& ( X2491 != s__UnionFn(X2492,X2490)
| ~ s__instance(X2490,s__SetOrClass)
| ~ s__instance(X2491,s__SetOrClass)
| ~ s__instance(X2492,s__SetOrClass)
| ~ s__instance(X2495,X2491)
| ~ s__instance(X2494,X2490)
| ~ s__instance(X2493,X2492)
| s__instance(X2494,X2491) )
& ( X2491 != s__UnionFn(X2492,X2490)
| ~ s__instance(X2490,s__SetOrClass)
| ~ s__instance(X2491,s__SetOrClass)
| ~ s__instance(X2492,s__SetOrClass)
| ~ s__instance(X2495,X2491)
| ~ s__instance(X2494,X2490)
| ~ s__instance(X2493,X2492)
| s__instance(X2493,X2491) ) ),
inference(distribute,[status(thm)],[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)],[kb_SUMO_32603])])])])])])]) ).
cnf(c_0_11,plain,
( ~ s__subclass(X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
s__subclass(s__NegativeInteger,s__NegativeRealNumber),
inference(split_conjunct,[status(thm)],[kb_SUMO_27743]) ).
cnf(c_0_13,plain,
( X2 = s__UnionFn(X3,X1)
| s__instance(X1,s__SetOrClass) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
s__instance(s__NegativeInteger,s__SetOrClass),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( s__instance(X3,s__SetOrClass)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_13]) ).
fof(c_0_16,plain,
! [X2342] :
( s__SignumFn(X2342) = "-1"
| ~ s__instance(X2342,s__NegativeRealNumber)
| ~ s__instance(X2342,s__RealNumber) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32531])])]) ).
fof(c_0_17,plain,
! [X2447] :
( s__SignumFn(X2447) = "0"
| s__SignumFn(X2447) = "1"
| ~ s__instance(X2447,s__NonnegativeRealNumber)
| ~ s__instance(X2447,s__RealNumber) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32529])])]) ).
fof(c_0_18,plain,
! [X2379,X2380,X2381] :
( s__instance(X2381,X2380)
| ~ s__instance(X2381,X2379)
| ~ s__subclass(X2379,X2380)
| ~ s__instance(X2379,s__SetOrClass)
| ~ s__instance(X2380,s__SetOrClass) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26636])])]) ).
cnf(c_0_19,plain,
( s__instance(X2,s__SetOrClass)
| s__instance(X1,s__SetOrClass) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( ~ s__instance(X1,s__NegativeRealNumber)
| ~ s__instance(X1,s__RealNumber)
| s__SignumFn(X1) = "-1" ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( ~ s__instance(X1,s__NonnegativeRealNumber)
| ~ s__instance(X1,s__RealNumber)
| s__SignumFn(X1) = "0"
| s__SignumFn(X1) = "1" ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,negated_conjecture,
~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
inference(assume_negation,[status(cth)],[prove_from_ALL]) ).
cnf(c_0_23,plain,
( ~ s__instance(X3,X2)
| ~ s__subclass(X2,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| s__instance(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
s__instance(X1,s__SetOrClass),
inference(ef,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( ~ s__instance(X1,s__NonnegativeRealNumber)
| ~ s__instance(X1,s__NegativeRealNumber)
| ~ s__instance(X1,s__RealNumber)
| s__SignumFn(X1) = "1" ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_26,negated_conjecture,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( ~ s__subclass(X3,X2)
| ~ s__instance(X1,X3)
| s__instance(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24])]) ).
cnf(c_0_28,plain,
s__subclass(s__NegativeRealNumber,s__RealNumber),
inference(split_conjunct,[status(thm)],[kb_SUMO_27718]) ).
cnf(c_0_29,plain,
( ~ s__instance(X1,s__NonnegativeRealNumber)
| ~ s__instance(X1,s__NegativeRealNumber)
| ~ s__instance(X1,s__RealNumber) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(split_conjunct,[status(thm)],[local_1]) ).
cnf(c_0_32,plain,
( ~ s__instance(X1,s__NegativeRealNumber)
| s__instance(X1,s__RealNumber) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
~ s__instance(s__Number3_1,s__RealNumber),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_30]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR077+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n018.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 14:49:59 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 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
% 5.88/3.76 % Version: 3.5.1
% 5.88/3.76 % Preprocessing class: FMLLSMSLSSSNFFN.
% 5.88/3.76 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 5.88/3.76 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1490s (5) cores
% 5.88/3.76 % Starting new_bool_3 with 298s (1) cores
% 5.88/3.76 % Starting new_bool_1 with 298s (1) cores
% 5.88/3.76 % Starting sh5l with 298s (1) cores
% 5.88/3.76 % G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 2154485 completed with status 0
% 5.88/3.76 % Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 5.88/3.76 % Preprocessing class: FMLLSMSLSSSNFFN.
% 5.88/3.76 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 5.88/3.76 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1490s (5) cores
% 5.88/3.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.88/3.76 % SinE strategy is gf200_h_gu_R03_F100_L20000
% 5.88/3.76 % Search class: FGHSS-FSLM32-MFFFFFNN
% 5.88/3.76 % Scheduled 7 strats onto 5 cores with 1490 seconds (1490 total)
% 5.88/3.76 % Starting SubtermCWHack with 135s (1) cores
% 5.88/3.76 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 150s (1) cores
% 5.88/3.76 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 5.88/3.76 % Starting new_bool_3 with 135s (1) cores
% 5.88/3.76 % Starting new_bool_1 with 135s (1) cores
% 5.88/3.76 % SubtermCWHack with pid 2154491 completed with status 0
% 5.88/3.76 % Result found by SubtermCWHack
% 5.88/3.76 % Preprocessing class: FMLLSMSLSSSNFFN.
% 5.88/3.76 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 5.88/3.76 % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1490s (5) cores
% 5.88/3.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.88/3.76 % SinE strategy is gf200_h_gu_R03_F100_L20000
% 5.88/3.76 % Search class: FGHSS-FSLM32-MFFFFFNN
% 5.88/3.76 % Scheduled 7 strats onto 5 cores with 1490 seconds (1490 total)
% 5.88/3.76 % Starting SubtermCWHack with 135s (1) cores
% 5.88/3.76 % Preprocessing time : 0.046 s
% 5.88/3.76
% 5.88/3.76 % Proof found!
% 5.88/3.76 % SZS status Theorem
% 5.88/3.76 % SZS output start CNFRefutation
% See solution above
% 5.88/3.76 % Parsed axioms : 55588
% 5.88/3.76 % Removed by relevancy pruning/SinE : 55412
% 5.88/3.76 % Initial clauses : 248
% 5.88/3.76 % Removed in clause preprocessing : 11
% 5.88/3.76 % Initial clauses in saturation : 237
% 5.88/3.76 % Processed clauses : 368
% 5.88/3.76 % ...of these trivial : 35
% 5.88/3.76 % ...subsumed : 14
% 5.88/3.76 % ...remaining for further processing : 319
% 5.88/3.76 % Other redundant clauses eliminated : 5
% 5.88/3.76 % Clauses deleted for lack of memory : 0
% 5.88/3.76 % Backward-subsumed : 14
% 5.88/3.76 % Backward-rewritten : 65
% 5.88/3.76 % Generated clauses : 972
% 5.88/3.76 % ...of the previous two non-redundant : 938
% 5.88/3.76 % ...aggressively subsumed : 0
% 5.88/3.76 % Contextual simplify-reflections : 1
% 5.88/3.76 % Paramodulations : 964
% 5.88/3.76 % Factorizations : 3
% 5.88/3.76 % NegExts : 0
% 5.88/3.76 % Equation resolutions : 5
% 5.88/3.76 % Disequality decompositions : 0
% 5.88/3.76 % Total rewrite steps : 132
% 5.88/3.76 % ...of those cached : 39
% 5.88/3.76 % Propositional unsat checks : 0
% 5.88/3.76 % Propositional check models : 0
% 5.88/3.76 % Propositional check unsatisfiable : 0
% 5.88/3.76 % Propositional clauses : 0
% 5.88/3.76 % Propositional clauses after purity: 0
% 5.88/3.76 % Propositional unsat core size : 0
% 5.88/3.76 % Propositional preprocessing time : 0.000
% 5.88/3.76 % Propositional encoding time : 0.000
% 5.88/3.76 % Propositional solver time : 0.000
% 5.88/3.76 % Success case prop preproc time : 0.000
% 5.88/3.76 % Success case prop encoding time : 0.000
% 5.88/3.76 % Success case prop solver time : 0.000
% 5.88/3.76 % Current number of processed clauses : 235
% 5.88/3.76 % Positive orientable unit clauses : 84
% 5.88/3.76 % Positive unorientable unit clauses: 0
% 5.88/3.76 % Negative unit clauses : 2
% 5.88/3.76 % Non-unit-clauses : 149
% 5.88/3.76 % Current number of unprocessed clauses: 170
% 5.88/3.76 % ...number of literals in the above : 753
% 5.88/3.76 % Current number of archived formulas : 0
% 5.88/3.76 % Current number of archived clauses : 79
% 5.88/3.76 % Clause-clause subsumption calls (NU) : 2909
% 5.88/3.76 % Rec. Clause-clause subsumption calls : 1733
% 5.88/3.76 % Non-unit clause-clause subsumptions : 20
% 5.88/3.76 % Unit Clause-clause subsumption calls : 333
% 5.88/3.76 % Rewrite failures with RHS unbound : 0
% 5.88/3.76 % BW rewrite match attempts : 116
% 5.88/3.76 % BW rewrite match successes : 63
% 5.88/3.76 % Condensation attempts : 0
% 5.88/3.76 % Condensation successes : 0
% 5.88/3.76 % Termbank termtop insertions : 673937
% 5.88/3.76 % Search garbage collected termcells : 293506
% 5.88/3.76
% 5.88/3.76 % -------------------------------------------------
% 5.88/3.76 % User time : 0.517 s
% 5.88/3.76 % System time : 0.297 s
% 5.88/3.76 % Total time : 0.814 s
% 5.88/3.76 % Maximum resident set size: 137272 pages
% 5.88/3.76
% 5.88/3.76 % -------------------------------------------------
% 5.88/3.76 % User time : 3.017 s
% 5.88/3.76 % System time : 0.738 s
% 5.88/3.76 % Total time : 3.755 s
% 5.88/3.76 % Maximum resident set size: 63744 pages
% 5.88/3.76 % E exiting
%------------------------------------------------------------------------------