%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 03:23:23 PM UTC 2026
% Result : Unsatisfiable 0.34s 0.46s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 62 ( 22 unt; 0 nHn; 53 RR)
% Number of literals : 119 ( 0 equ; 61 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 104 ( 53 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_110,axiom,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).
cnf(rule_154,axiom,
( ~ q1(X1,X1,X1)
| p2(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_085,axiom,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_240,axiom,
( ~ p2(X2,X3,X1)
| n3(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_181,axiom,
( ~ p1(X1,X1,X1)
| q2(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_298,axiom,
( ~ p0(X4,X1)
| ~ q3(X2,X3)
| ~ n3(X1)
| r4(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).
cnf(rule_255,axiom,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(axiom_18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
cnf(rule_329,axiom,
( ~ r4(X2)
| ~ l4(X1)
| s5(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_329) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(rule_250,axiom,
( ~ q2(X2,X3,X1)
| ~ k1(X1)
| p3(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_250) ).
cnf(prove_this,negated_conjecture,
~ s5(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_277,axiom,
( ~ p3(X2,X3,X1)
| l4(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
cnf(rule_001,axiom,
( ~ n0(X2,X1)
| k1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
cnf(c_0_17,plain,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_110]) ).
cnf(c_0_18,plain,
( ~ q1(X1,X1,X1)
| p2(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_154]) ).
cnf(c_0_19,plain,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
c_0_17 ).
cnf(c_0_20,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_21,plain,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_085]) ).
cnf(c_0_22,plain,
( ~ p2(X2,X3,X1)
| n3(X1) ),
inference(fof_simplification,[status(thm)],[rule_240]) ).
cnf(c_0_23,plain,
( ~ q1(X1,X1,X1)
| p2(X1,X1,X1) ),
c_0_18 ).
cnf(c_0_24,plain,
q1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ p1(X1,X1,X1)
| q2(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_181]) ).
cnf(c_0_26,plain,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
c_0_21 ).
cnf(c_0_27,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_28,plain,
( ~ p0(X4,X1)
| ~ q3(X2,X3)
| ~ n3(X1)
| r4(X1) ),
inference(fof_simplification,[status(thm)],[rule_298]) ).
cnf(c_0_29,plain,
( ~ p2(X2,X3,X1)
| n3(X1) ),
c_0_22 ).
cnf(c_0_30,plain,
p2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_31,plain,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_255]) ).
cnf(c_0_32,plain,
( ~ p1(X1,X1,X1)
| q2(X1,X1,X1) ),
c_0_25 ).
cnf(c_0_33,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
( ~ p0(X4,X1)
| ~ q3(X2,X3)
| ~ n3(X1)
| r4(X1) ),
c_0_28 ).
cnf(c_0_35,plain,
n3(X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
c_0_31 ).
cnf(c_0_37,plain,
q2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).
cnf(c_0_38,plain,
( ~ p0(X4,X1)
| ~ q3(X2,X3)
| r4(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_39,plain,
( ~ n0(X1,X1)
| q3(X1,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
( ~ n0(X3,X3)
| ~ p0(X2,X1)
| r4(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,axiom,
p0(c,b),
axiom_18 ).
cnf(c_0_42,plain,
( ~ r4(X2)
| ~ l4(X1)
| s5(X1) ),
inference(fof_simplification,[status(thm)],[rule_329]) ).
cnf(c_0_43,plain,
( ~ n0(X1,X1)
| r4(b) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_45,plain,
( ~ q2(X2,X3,X1)
| ~ k1(X1)
| p3(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_250]) ).
cnf(c_0_46,negated_conjecture,
~ s5(b),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_47,plain,
( ~ r4(X2)
| ~ l4(X1)
| s5(X1) ),
c_0_42 ).
cnf(c_0_48,plain,
r4(b),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( ~ p3(X2,X3,X1)
| l4(X1) ),
inference(fof_simplification,[status(thm)],[rule_277]) ).
cnf(c_0_50,plain,
( ~ q2(X2,X3,X1)
| ~ k1(X1)
| p3(X1,X1,X1) ),
c_0_45 ).
cnf(c_0_51,plain,
( ~ n0(X2,X1)
| k1(X1) ),
inference(fof_simplification,[status(thm)],[rule_001]) ).
cnf(c_0_52,negated_conjecture,
~ s5(b),
c_0_46 ).
cnf(c_0_53,plain,
( ~ l4(X1)
| s5(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( ~ p3(X2,X3,X1)
| l4(X1) ),
c_0_49 ).
cnf(c_0_55,plain,
( ~ k1(X1)
| p3(X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_37]) ).
cnf(c_0_56,plain,
( ~ n0(X2,X1)
| k1(X1) ),
c_0_51 ).
cnf(c_0_57,axiom,
n0(a,b),
axiom_15 ).
cnf(c_0_58,negated_conjecture,
~ l4(b),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
( ~ k1(X1)
| l4(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
k1(b),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:46:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.42 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
% 0.34/0.46 % Version: 3.5.1
% 0.34/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.34/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.34/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.34/0.46 % Starting sh5l with 300s (1) cores
% 0.34/0.46 % new_bool_3 with pid 3268338 completed with status 0
% 0.34/0.46 % Result found by new_bool_3
% 0.34/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.34/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.34/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.46 % Search class: FHUNS-FSLM00-SFFFFFNN
% 0.34/0.46 % partial match(1): FHUNM-FSLM00-SFFFFFNN
% 0.34/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.34/0.46 % SubtermCWHack with pid 3268341 completed with status 0
% 0.34/0.46 % Result found by SubtermCWHack
% 0.34/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.34/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.34/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.46 % Search class: FHUNS-FSLM00-SFFFFFNN
% 0.34/0.46 % partial match(1): FHUNM-FSLM00-SFFFFFNN
% 0.34/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.34/0.46 % Preprocessing time : 0.004 s
% 0.34/0.46
% 0.34/0.46 % Proof found!
% 0.34/0.46 % SZS status Unsatisfiable
% 0.34/0.46 % SZS output start CNFRefutation
% See solution above
% 0.34/0.46 % Parsed axioms : 369
% 0.34/0.46 % Removed by relevancy pruning/SinE : 114
% 0.34/0.46 % Initial clauses : 255
% 0.34/0.46 % Removed in clause preprocessing : 6
% 0.34/0.46 % Initial clauses in saturation : 249
% 0.34/0.46 % Processed clauses : 317
% 0.34/0.46 % ...of these trivial : 34
% 0.34/0.46 % ...subsumed : 6
% 0.34/0.46 % ...remaining for further processing : 277
% 0.34/0.46 % Other redundant clauses eliminated : 0
% 0.34/0.46 % Clauses deleted for lack of memory : 0
% 0.34/0.46 % Backward-subsumed : 19
% 0.34/0.46 % Backward-rewritten : 80
% 0.34/0.46 % Generated clauses : 208
% 0.34/0.46 % ...of the previous two non-redundant : 163
% 0.34/0.46 % ...aggressively subsumed : 0
% 0.34/0.46 % Contextual simplify-reflections : 0
% 0.34/0.46 % Paramodulations : 208
% 0.34/0.46 % Factorizations : 0
% 0.34/0.46 % NegExts : 0
% 0.34/0.46 % Equation resolutions : 0
% 0.34/0.46 % Disequality decompositions : 0
% 0.34/0.46 % Total rewrite steps : 178
% 0.34/0.46 % ...of those cached : 79
% 0.34/0.46 % Propositional unsat checks : 0
% 0.34/0.46 % Propositional check models : 0
% 0.34/0.46 % Propositional check unsatisfiable : 0
% 0.34/0.46 % Propositional clauses : 0
% 0.34/0.46 % Propositional clauses after purity: 0
% 0.34/0.46 % Propositional unsat core size : 0
% 0.34/0.46 % Propositional preprocessing time : 0.000
% 0.34/0.46 % Propositional encoding time : 0.000
% 0.34/0.46 % Propositional solver time : 0.000
% 0.34/0.46 % Success case prop preproc time : 0.000
% 0.34/0.46 % Success case prop encoding time : 0.000
% 0.34/0.46 % Success case prop solver time : 0.000
% 0.34/0.46 % Current number of processed clauses : 178
% 0.34/0.46 % Positive orientable unit clauses : 67
% 0.34/0.46 % Positive unorientable unit clauses: 0
% 0.34/0.46 % Negative unit clauses : 2
% 0.34/0.46 % Non-unit-clauses : 109
% 0.34/0.46 % Current number of unprocessed clauses: 88
% 0.34/0.46 % ...number of literals in the above : 341
% 0.34/0.46 % Current number of archived formulas : 0
% 0.34/0.46 % Current number of archived clauses : 99
% 0.34/0.46 % Clause-clause subsumption calls (NU) : 4483
% 0.34/0.46 % Rec. Clause-clause subsumption calls : 3871
% 0.34/0.46 % Non-unit clause-clause subsumptions : 20
% 0.34/0.46 % Unit Clause-clause subsumption calls : 1242
% 0.34/0.46 % Rewrite failures with RHS unbound : 0
% 0.34/0.46 % BW rewrite match attempts : 86
% 0.34/0.46 % BW rewrite match successes : 61
% 0.34/0.46 % Condensation attempts : 0
% 0.34/0.46 % Condensation successes : 0
% 0.34/0.46 % Termbank termtop insertions : 12252
% 0.34/0.46 % Search garbage collected termcells : 1565
% 0.34/0.46
% 0.34/0.46 % -------------------------------------------------
% 0.34/0.46 % User time : 0.017 s
% 0.34/0.46 % System time : 0.007 s
% 0.34/0.46 % Total time : 0.024 s
% 0.34/0.46 % Maximum resident set size: 4472 pages
% 0.34/0.46
% 0.34/0.46 % -------------------------------------------------
% 0.34/0.46 % User time : 0.023 s
% 0.34/0.46 % System time : 0.012 s
% 0.34/0.46 % Total time : 0.035 s
% 0.34/0.46 % Maximum resident set size: 5120 pages
% 0.34/0.46 % E exiting
%------------------------------------------------------------------------------