%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN116-1 : 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 : n001.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 03:23:10 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 50 ( 21 unt; 0 nHn; 46 RR)
% Number of literals : 88 ( 0 equ; 44 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 86 ( 40 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_005,axiom,
( ~ m0(X2,X2,X1)
| m1(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_005) ).
cnf(rule_176,axiom,
( ~ m1(X2,X1,X2)
| p2(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(axiom_31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
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_267,axiom,
( ~ p2(X1,X3,X2)
| r3(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(rule_129,axiom,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_300,axiom,
( ~ r3(X3,X1,X1)
| ~ s4(X2)
| k5(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_300) ).
cnf(prove_this,negated_conjecture,
~ k5(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_252,axiom,
( ~ k2(X3,X3)
| ~ q0(X2,X1)
| p3(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_252) ).
cnf(rule_299,axiom,
( ~ l1(X1,X3)
| ~ p3(X2,X3,X4)
| s4(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
cnf(rule_002,axiom,
( ~ n0(X2,X1)
| l1(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(axiom_6,axiom,
q0(b,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_6) ).
cnf(axiom_15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
cnf(c_0_14,plain,
( ~ m0(X2,X2,X1)
| m1(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_005]) ).
cnf(c_0_15,plain,
( ~ m1(X2,X1,X2)
| p2(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_176]) ).
cnf(c_0_16,plain,
( ~ m0(X2,X2,X1)
| m1(X1,X2,X1) ),
c_0_14 ).
cnf(c_0_17,axiom,
m0(b,b,e),
axiom_31 ).
cnf(c_0_18,plain,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_110]) ).
cnf(c_0_19,plain,
( ~ p2(X1,X3,X2)
| r3(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_267]) ).
cnf(c_0_20,plain,
( ~ m1(X2,X1,X2)
| p2(X1,X2,X1) ),
c_0_15 ).
cnf(c_0_21,plain,
m1(e,b,e),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_129]) ).
cnf(c_0_23,plain,
( ~ m0(X2,X3,X1)
| q1(X1,X1,X1) ),
c_0_18 ).
cnf(c_0_24,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_25,plain,
( ~ r3(X3,X1,X1)
| ~ s4(X2)
| k5(X1) ),
inference(fof_simplification,[status(thm)],[rule_300]) ).
cnf(c_0_26,plain,
( ~ p2(X1,X3,X2)
| r3(X1,X2,X1) ),
c_0_19 ).
cnf(c_0_27,plain,
p2(b,e,b),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
~ k5(b),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_29,plain,
( ~ k2(X3,X3)
| ~ q0(X2,X1)
| p3(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_252]) ).
cnf(c_0_30,plain,
( ~ q1(X2,X1,X1)
| k2(X1,X1) ),
c_0_22 ).
cnf(c_0_31,plain,
q1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,plain,
( ~ l1(X1,X3)
| ~ p3(X2,X3,X4)
| s4(X1) ),
inference(fof_simplification,[status(thm)],[rule_299]) ).
cnf(c_0_33,plain,
( ~ r3(X3,X1,X1)
| ~ s4(X2)
| k5(X1) ),
c_0_25 ).
cnf(c_0_34,plain,
r3(b,b,b),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
~ k5(b),
c_0_28 ).
cnf(c_0_36,plain,
( ~ k2(X3,X3)
| ~ q0(X2,X1)
| p3(X1,X1,X1) ),
c_0_29 ).
cnf(c_0_37,plain,
k2(X1,X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( ~ n0(X2,X1)
| l1(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_002]) ).
cnf(c_0_39,plain,
( ~ l1(X1,X3)
| ~ p3(X2,X3,X4)
| s4(X1) ),
c_0_32 ).
cnf(c_0_40,plain,
~ s4(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_41,plain,
( ~ q0(X2,X1)
| p3(X1,X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_42,axiom,
q0(b,b),
axiom_6 ).
cnf(c_0_43,plain,
( ~ n0(X2,X1)
| l1(X1,X1) ),
c_0_38 ).
cnf(c_0_44,axiom,
n0(a,b),
axiom_15 ).
cnf(c_0_45,plain,
( ~ l1(X4,X2)
| ~ p3(X1,X2,X3) ),
inference(sr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
p3(b,b,b),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
l1(b,b),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
~ l1(X1,b),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
$false,
inference(sr,[status(thm)],[c_0_47,c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.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 10:49:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 0.15/0.45 % Version: 3.5.1
% 0.15/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 % Starting sh5l with 300s (1) cores
% 0.15/0.45 % new_bool_3 with pid 2926614 completed with status 0
% 0.15/0.45 % Result found by new_bool_3
% 0.15/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.45 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.15/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.45 % SubtermCWHack with pid 2926619 completed with status 0
% 0.15/0.45 % Result found by SubtermCWHack
% 0.15/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.45 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.15/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.45 % Preprocessing time : 0.003 s
% 0.15/0.45
% 0.15/0.45 % Proof found!
% 0.15/0.45 % SZS status Unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation
% See solution above
% 0.15/0.45 % Parsed axioms : 369
% 0.15/0.45 % Removed by relevancy pruning/SinE : 36
% 0.15/0.45 % Initial clauses : 333
% 0.15/0.45 % Removed in clause preprocessing : 7
% 0.15/0.45 % Initial clauses in saturation : 326
% 0.15/0.45 % Processed clauses : 355
% 0.15/0.45 % ...of these trivial : 43
% 0.15/0.45 % ...subsumed : 8
% 0.15/0.45 % ...remaining for further processing : 304
% 0.15/0.45 % Other redundant clauses eliminated : 0
% 0.15/0.45 % Clauses deleted for lack of memory : 0
% 0.15/0.45 % Backward-subsumed : 23
% 0.15/0.45 % Backward-rewritten : 101
% 0.15/0.45 % Generated clauses : 278
% 0.15/0.45 % ...of the previous two non-redundant : 181
% 0.15/0.45 % ...aggressively subsumed : 0
% 0.15/0.45 % Contextual simplify-reflections : 1
% 0.15/0.45 % Paramodulations : 277
% 0.15/0.45 % Factorizations : 0
% 0.15/0.45 % NegExts : 0
% 0.15/0.45 % Equation resolutions : 0
% 0.15/0.45 % Disequality decompositions : 0
% 0.15/0.45 % Total rewrite steps : 287
% 0.15/0.45 % ...of those cached : 150
% 0.15/0.45 % Propositional unsat checks : 0
% 0.15/0.45 % Propositional check models : 0
% 0.15/0.45 % Propositional check unsatisfiable : 0
% 0.15/0.45 % Propositional clauses : 0
% 0.15/0.45 % Propositional clauses after purity: 0
% 0.15/0.45 % Propositional unsat core size : 0
% 0.15/0.45 % Propositional preprocessing time : 0.000
% 0.15/0.45 % Propositional encoding time : 0.000
% 0.15/0.45 % Propositional solver time : 0.000
% 0.15/0.45 % Success case prop preproc time : 0.000
% 0.15/0.45 % Success case prop encoding time : 0.000
% 0.15/0.45 % Success case prop solver time : 0.000
% 0.15/0.45 % Current number of processed clauses : 179
% 0.15/0.45 % Positive orientable unit clauses : 86
% 0.15/0.45 % Positive unorientable unit clauses: 0
% 0.15/0.45 % Negative unit clauses : 3
% 0.15/0.45 % Non-unit-clauses : 90
% 0.15/0.45 % Current number of unprocessed clauses: 135
% 0.15/0.45 % ...number of literals in the above : 481
% 0.15/0.45 % Current number of archived formulas : 0
% 0.15/0.45 % Current number of archived clauses : 125
% 0.15/0.45 % Clause-clause subsumption calls (NU) : 4302
% 0.15/0.45 % Rec. Clause-clause subsumption calls : 3732
% 0.15/0.45 % Non-unit clause-clause subsumptions : 22
% 0.15/0.45 % Unit Clause-clause subsumption calls : 609
% 0.15/0.45 % Rewrite failures with RHS unbound : 0
% 0.15/0.45 % BW rewrite match attempts : 135
% 0.15/0.45 % BW rewrite match successes : 83
% 0.15/0.45 % Condensation attempts : 0
% 0.15/0.45 % Condensation successes : 0
% 0.15/0.45 % Termbank termtop insertions : 14100
% 0.15/0.45 % Search garbage collected termcells : 1496
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.015 s
% 0.15/0.45 % System time : 0.005 s
% 0.15/0.45 % Total time : 0.020 s
% 0.15/0.45 % Maximum resident set size: 4472 pages
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.022 s
% 0.15/0.45 % System time : 0.009 s
% 0.15/0.45 % Total time : 0.031 s
% 0.15/0.45 % Maximum resident set size: 5120 pages
% 0.15/0.45 % E exiting
%------------------------------------------------------------------------------