%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR040-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:16:06 PM UTC 2026
% Result : Unsatisfiable 109.83s 25.21s
% Output : CNFRefutation 109.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 26 RR)
% Number of literals : 68 ( 67 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 4 con; 0-4 aty)
% Number of variables : 50 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax3_6733,axiom,
ifeq4(tptpcol_15_109185(X1),true,tptpcol_14_109181(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_6733) ).
cnf(query190_1,negated_conjecture,
tptpcol_15_109185(c_tptpcol_16_62187) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query190_1) ).
cnf(ifeq_axiom,axiom,
ifeq4(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(ax3_7614,axiom,
ifeq4(tptpcol_14_109181(X1),true,tptpcol_13_109173(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_7614) ).
cnf(ax3_15564,axiom,
ifeq4(tptpcol_13_109173(X1),true,tptpcol_12_109157(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_15564) ).
cnf(ax3_3389,axiom,
ifeq4(tptpcol_12_109157(X1),true,tptpcol_11_109125(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_3389) ).
cnf(ax3_24107,axiom,
ifeq4(tptpcol_11_109125(X1),true,tptpcol_10_109061(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_24107) ).
cnf(ax3_448,axiom,
ifeq4(tptpcol_10_109061(X1),true,tptpcol_9_109060(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_448) ).
cnf(ax3_733,axiom,
ifeq4(tptpcol_9_109060(X1),true,tptpcol_8_109059(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_733) ).
cnf(ax3_1291,axiom,
ifeq4(tptpcol_8_109059(X1),true,tptpcol_7_108547(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1291) ).
cnf(ax3_9044,axiom,
ifeq4(tptpcol_7_108547(X1),true,tptpcol_6_108546(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_9044) ).
cnf(ax3_3253,axiom,
ifeq4(tptpcol_6_108546(X1),true,tptpcol_5_106498(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_3253) ).
cnf(ax3_15240,axiom,
ifeq4(tptpcol_5_106498(X1),true,tptpcol_4_106497(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_15240) ).
cnf(ax3_5949,axiom,
ifeq4(tptpcol_4_106497(X1),true,tptpcol_3_98305(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_5949) ).
cnf(ax3_22390,axiom,
ifeq4(tptpcol_3_98305(X1),true,tptpcol_2_98304(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_22390) ).
cnf(ax3_5511,axiom,
ifeq4(tptpcol_2_98304(X1),true,tptpcol_1_65536(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_5511) ).
cnf(ax3_1714,axiom,
ifeq4(firstordercollection(X1),true,fixedordercollection(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1714) ).
cnf(ax3_20268,axiom,
firstordercollection(c_tptpcol_16_62187) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_20268) ).
cnf(ax3_5043,axiom,
ifeq4(tptpcol_1_65536(X1),true,tptpcol_0_0(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_5043) ).
cnf(ax3_12015,axiom,
ifeq4(fixedordercollection(X1),true,collection(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_12015) ).
cnf(ax3_318,axiom,
ifeq4(tptpcol_0_0(X1),true,individual(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_318) ).
cnf(goal,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(ax3_4028,axiom,
ifeq2(tuple2(individual(X1),collection(X1)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_4028) ).
cnf(ifeq_axiom_002,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).
cnf(c_0_24,axiom,
ifeq4(tptpcol_15_109185(X1),true,tptpcol_14_109181(X1),true) = true,
ax3_6733 ).
cnf(c_0_25,negated_conjecture,
tptpcol_15_109185(c_tptpcol_16_62187) = true,
query190_1 ).
cnf(c_0_26,axiom,
ifeq4(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_27,axiom,
ifeq4(tptpcol_14_109181(X1),true,tptpcol_13_109173(X1),true) = true,
ax3_7614 ).
cnf(c_0_28,negated_conjecture,
tptpcol_14_109181(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,axiom,
ifeq4(tptpcol_13_109173(X1),true,tptpcol_12_109157(X1),true) = true,
ax3_15564 ).
cnf(c_0_30,negated_conjecture,
tptpcol_13_109173(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]) ).
cnf(c_0_31,axiom,
ifeq4(tptpcol_12_109157(X1),true,tptpcol_11_109125(X1),true) = true,
ax3_3389 ).
cnf(c_0_32,negated_conjecture,
tptpcol_12_109157(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_26]) ).
cnf(c_0_33,axiom,
ifeq4(tptpcol_11_109125(X1),true,tptpcol_10_109061(X1),true) = true,
ax3_24107 ).
cnf(c_0_34,negated_conjecture,
tptpcol_11_109125(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26]) ).
cnf(c_0_35,axiom,
ifeq4(tptpcol_10_109061(X1),true,tptpcol_9_109060(X1),true) = true,
ax3_448 ).
cnf(c_0_36,negated_conjecture,
tptpcol_10_109061(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26]) ).
cnf(c_0_37,axiom,
ifeq4(tptpcol_9_109060(X1),true,tptpcol_8_109059(X1),true) = true,
ax3_733 ).
cnf(c_0_38,negated_conjecture,
tptpcol_9_109060(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26]) ).
cnf(c_0_39,axiom,
ifeq4(tptpcol_8_109059(X1),true,tptpcol_7_108547(X1),true) = true,
ax3_1291 ).
cnf(c_0_40,negated_conjecture,
tptpcol_8_109059(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_26]) ).
cnf(c_0_41,axiom,
ifeq4(tptpcol_7_108547(X1),true,tptpcol_6_108546(X1),true) = true,
ax3_9044 ).
cnf(c_0_42,negated_conjecture,
tptpcol_7_108547(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26]) ).
cnf(c_0_43,axiom,
ifeq4(tptpcol_6_108546(X1),true,tptpcol_5_106498(X1),true) = true,
ax3_3253 ).
cnf(c_0_44,negated_conjecture,
tptpcol_6_108546(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_26]) ).
cnf(c_0_45,axiom,
ifeq4(tptpcol_5_106498(X1),true,tptpcol_4_106497(X1),true) = true,
ax3_15240 ).
cnf(c_0_46,negated_conjecture,
tptpcol_5_106498(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_26]) ).
cnf(c_0_47,axiom,
ifeq4(tptpcol_4_106497(X1),true,tptpcol_3_98305(X1),true) = true,
ax3_5949 ).
cnf(c_0_48,negated_conjecture,
tptpcol_4_106497(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26]) ).
cnf(c_0_49,axiom,
ifeq4(tptpcol_3_98305(X1),true,tptpcol_2_98304(X1),true) = true,
ax3_22390 ).
cnf(c_0_50,negated_conjecture,
tptpcol_3_98305(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_26]) ).
cnf(c_0_51,axiom,
ifeq4(tptpcol_2_98304(X1),true,tptpcol_1_65536(X1),true) = true,
ax3_5511 ).
cnf(c_0_52,negated_conjecture,
tptpcol_2_98304(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_26]) ).
cnf(c_0_53,axiom,
ifeq4(firstordercollection(X1),true,fixedordercollection(X1),true) = true,
ax3_1714 ).
cnf(c_0_54,axiom,
firstordercollection(c_tptpcol_16_62187) = true,
ax3_20268 ).
cnf(c_0_55,axiom,
ifeq4(tptpcol_1_65536(X1),true,tptpcol_0_0(X1),true) = true,
ax3_5043 ).
cnf(c_0_56,negated_conjecture,
tptpcol_1_65536(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_26]) ).
cnf(c_0_57,axiom,
ifeq4(fixedordercollection(X1),true,collection(X1),true) = true,
ax3_12015 ).
cnf(c_0_58,plain,
fixedordercollection(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_26]) ).
cnf(c_0_59,axiom,
ifeq4(tptpcol_0_0(X1),true,individual(X1),true) = true,
ax3_318 ).
cnf(c_0_60,negated_conjecture,
tptpcol_0_0(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26]) ).
cnf(c_0_61,negated_conjecture,
a != b,
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_62,axiom,
ifeq2(tuple2(individual(X1),collection(X1)),tuple2(true,true),a,b) = b,
ax3_4028 ).
cnf(c_0_63,plain,
collection(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_26]) ).
cnf(c_0_64,negated_conjecture,
individual(c_tptpcol_16_62187) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_26]) ).
cnf(c_0_65,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom_002 ).
cnf(c_0_66,negated_conjecture,
a != b,
c_0_61 ).
cnf(c_0_67,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR040-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 14:25:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 109.83/25.21 % Version: 3.5.1
% 109.83/25.21 % Preprocessing class: FMLLSMLLSSSNFFN.
% 109.83/25.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.83/25.21 % Starting new_bool_3 with 900s (3) cores
% 109.83/25.21 % Starting new_bool_1 with 900s (3) cores
% 109.83/25.21 % Starting sh5l with 300s (1) cores
% 109.83/25.21 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 109.83/25.21 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 2551017 completed with status 0
% 109.83/25.21 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 109.83/25.21 % Preprocessing class: FMLLSMLLSSSNFFN.
% 109.83/25.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.83/25.21 % Starting new_bool_3 with 900s (3) cores
% 109.83/25.21 % Starting new_bool_1 with 900s (3) cores
% 109.83/25.21 % Starting sh5l with 300s (1) cores
% 109.83/25.21 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 109.83/25.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 109.83/25.21 % No SInE strategy applied
% 109.83/25.21 % Search class: FUUPM-SMLM31-DFFFFFNN
% 109.83/25.21 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 109.83/25.21 % Starting SubtermCWHack with 28s (1) cores
% 109.83/25.21 % SubtermCWHack with pid 2551025 completed with status 0
% 109.83/25.21 % Result found by SubtermCWHack
% 109.83/25.21 % Preprocessing class: FMLLSMLLSSSNFFN.
% 109.83/25.21 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.83/25.21 % Starting new_bool_3 with 900s (3) cores
% 109.83/25.21 % Starting new_bool_1 with 900s (3) cores
% 109.83/25.21 % Starting sh5l with 300s (1) cores
% 109.83/25.21 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 109.83/25.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 109.83/25.21 % No SInE strategy applied
% 109.83/25.21 % Search class: FUUPM-SMLM31-DFFFFFNN
% 109.83/25.21 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 109.83/25.21 % Starting SubtermCWHack with 28s (1) cores
% 109.83/25.21 % Preprocessing time : 0.439 s
% 109.83/25.21
% 109.83/25.21 % Proof found!
% 109.83/25.21 % SZS status Unsatisfiable
% 109.83/25.21 % SZS output start CNFRefutation
% See solution above
% 109.83/25.21 % Parsed axioms : 44220
% 109.83/25.21 % Removed by relevancy pruning/SinE : 0
% 109.83/25.21 % Initial clauses : 44220
% 109.83/25.21 % Removed in clause preprocessing : 0
% 109.83/25.21 % Initial clauses in saturation : 44220
% 109.83/25.21 % Processed clauses : 199397
% 109.83/25.21 % ...of these trivial : 23883
% 109.83/25.21 % ...subsumed : 0
% 109.83/25.21 % ...remaining for further processing : 175514
% 109.83/25.21 % Other redundant clauses eliminated : 0
% 109.83/25.21 % Clauses deleted for lack of memory : 0
% 109.83/25.21 % Backward-subsumed : 0
% 109.83/25.21 % Backward-rewritten : 113
% 109.83/25.21 % Generated clauses : 1675387
% 109.83/25.21 % ...of the previous two non-redundant : 1562350
% 109.83/25.21 % ...aggressively subsumed : 0
% 109.83/25.21 % Contextual simplify-reflections : 0
% 109.83/25.21 % Paramodulations : 1675387
% 109.83/25.21 % Factorizations : 0
% 109.83/25.21 % NegExts : 0
% 109.83/25.21 % Equation resolutions : 0
% 109.83/25.21 % Disequality decompositions : 0
% 109.83/25.21 % Total rewrite steps : 235563
% 109.83/25.21 % ...of those cached : 91051
% 109.83/25.21 % Propositional unsat checks : 0
% 109.83/25.21 % Propositional check models : 0
% 109.83/25.21 % Propositional check unsatisfiable : 0
% 109.83/25.21 % Propositional clauses : 0
% 109.83/25.21 % Propositional clauses after purity: 0
% 109.83/25.21 % Propositional unsat core size : 0
% 109.83/25.21 % Propositional preprocessing time : 0.000
% 109.83/25.21 % Propositional encoding time : 0.000
% 109.83/25.21 % Propositional solver time : 0.000
% 109.83/25.21 % Success case prop preproc time : 0.000
% 109.83/25.21 % Success case prop encoding time : 0.000
% 109.83/25.21 % Success case prop solver time : 0.000
% 109.83/25.21 % Current number of processed clauses : 175401
% 109.83/25.21 % Positive orientable unit clauses : 175400
% 109.83/25.21 % Positive unorientable unit clauses: 0
% 109.83/25.21 % Negative unit clauses : 1
% 109.83/25.21 % Non-unit-clauses : 0
% 109.83/25.21 % Current number of unprocessed clauses: 1406430
% 109.83/25.21 % ...number of literals in the above : 1406430
% 109.83/25.21 % Current number of archived formulas : 0
% 109.83/25.21 % Current number of archived clauses : 113
% 109.83/25.21 % Clause-clause subsumption calls (NU) : 0
% 109.83/25.21 % Rec. Clause-clause subsumption calls : 0
% 109.83/25.21 % Non-unit clause-clause subsumptions : 0
% 109.83/25.21 % Unit Clause-clause subsumption calls : 0
% 109.83/25.21 % Rewrite failures with RHS unbound : 0
% 109.83/25.21 % BW rewrite match attempts : 1764028
% 109.83/25.21 % BW rewrite match successes : 113
% 109.83/25.21 % Condensation attempts : 0
% 109.83/25.21 % Condensation successes : 0
% 109.83/25.21 % Termbank termtop insertions : 13334689
% 109.83/25.21 % Search garbage collected termcells : 2
% 109.83/25.21
% 109.83/25.21 % -------------------------------------------------
% 109.83/25.21 % User time : 20.472 s
% 109.83/25.21 % System time : 3.291 s
% 109.83/25.21 % Total time : 23.763 s
% 109.83/25.21 % Maximum resident set size: 68380 pages
% 109.83/25.21
% 109.83/25.21 % -------------------------------------------------
% 109.83/25.21 % User time : 21.203 s
% 109.83/25.21 % System time : 3.346 s
% 109.83/25.21 % Total time : 24.550 s
% 109.83/25.21 % Maximum resident set size: 34304 pages
% 109.83/25.21 % E exiting
%------------------------------------------------------------------------------