%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN301-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 03:23:35 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 12 unt; 0 nHn; 23 RR)
% Number of literals : 47 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 43 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_085,axiom,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_137,axiom,
( ~ p1(X2,X3,X1)
| n2(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_244,axiom,
( ~ n2(X1)
| p3(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
cnf(rule_299,axiom,
( ~ l1(X1,X3)
| ~ p3(X2,X3,X4)
| s4(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
cnf(rule_002,axiom,
( ~ n0(X2,X1)
| l1(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(prove_this,negated_conjecture,
~ s4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_8,plain,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_085]) ).
cnf(c_0_9,plain,
( ~ p1(X2,X3,X1)
| n2(X1) ),
inference(fof_simplification,[status(thm)],[rule_137]) ).
cnf(c_0_10,plain,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
c_0_8 ).
cnf(c_0_11,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_12,plain,
( ~ n2(X1)
| p3(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_244]) ).
cnf(c_0_13,plain,
( ~ p1(X2,X3,X1)
| n2(X1) ),
c_0_9 ).
cnf(c_0_14,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ l1(X1,X3)
| ~ p3(X2,X3,X4)
| s4(X1) ),
inference(fof_simplification,[status(thm)],[rule_299]) ).
cnf(c_0_16,plain,
( ~ n2(X1)
| p3(X1,X1,X1) ),
c_0_12 ).
cnf(c_0_17,plain,
n2(X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( ~ n0(X2,X1)
| l1(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_002]) ).
cnf(c_0_19,plain,
( ~ l1(X1,X3)
| ~ p3(X2,X3,X4)
| s4(X1) ),
c_0_15 ).
cnf(c_0_20,plain,
p3(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_21,plain,
( ~ n0(X2,X1)
| l1(X1,X1) ),
c_0_18 ).
cnf(c_0_22,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_23,negated_conjecture,
~ s4(a),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_24,plain,
( ~ l1(X1,X2)
| s4(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
l1(a,a),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ s4(a),
c_0_23 ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN301-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 10:50:29 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.46 % Version: 3.5.1
% 0.12/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.46 % Starting sh5l with 300s (1) cores
% 0.12/0.46 % new_bool_3 with pid 1693289 completed with status 0
% 0.12/0.46 % Result found by new_bool_3
% 0.12/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.46 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.12/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.46 % SubtermCWHack with pid 1693293 completed with status 0
% 0.12/0.46 % Result found by SubtermCWHack
% 0.12/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.46 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.12/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.46 % Preprocessing time : 0.004 s
% 0.12/0.46
% 0.12/0.46 % Proof found!
% 0.12/0.46 % SZS status Unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation
% See solution above
% 0.12/0.46 % Parsed axioms : 369
% 0.12/0.46 % Removed by relevancy pruning/SinE : 71
% 0.12/0.46 % Initial clauses : 298
% 0.12/0.46 % Removed in clause preprocessing : 5
% 0.12/0.46 % Initial clauses in saturation : 293
% 0.12/0.46 % Processed clauses : 315
% 0.12/0.46 % ...of these trivial : 47
% 0.12/0.46 % ...subsumed : 4
% 0.12/0.46 % ...remaining for further processing : 264
% 0.12/0.46 % Other redundant clauses eliminated : 0
% 0.12/0.46 % Clauses deleted for lack of memory : 0
% 0.12/0.46 % Backward-subsumed : 12
% 0.12/0.46 % Backward-rewritten : 107
% 0.12/0.46 % Generated clauses : 262
% 0.12/0.46 % ...of the previous two non-redundant : 162
% 0.12/0.46 % ...aggressively subsumed : 0
% 0.12/0.46 % Contextual simplify-reflections : 0
% 0.12/0.46 % Paramodulations : 262
% 0.12/0.46 % Factorizations : 0
% 0.12/0.46 % NegExts : 0
% 0.12/0.46 % Equation resolutions : 0
% 0.12/0.46 % Disequality decompositions : 0
% 0.12/0.46 % Total rewrite steps : 301
% 0.12/0.46 % ...of those cached : 159
% 0.12/0.46 % Propositional unsat checks : 0
% 0.12/0.46 % Propositional check models : 0
% 0.12/0.46 % Propositional check unsatisfiable : 0
% 0.12/0.46 % Propositional clauses : 0
% 0.12/0.46 % Propositional clauses after purity: 0
% 0.12/0.46 % Propositional unsat core size : 0
% 0.12/0.46 % Propositional preprocessing time : 0.000
% 0.12/0.46 % Propositional encoding time : 0.000
% 0.12/0.46 % Propositional solver time : 0.000
% 0.12/0.46 % Success case prop preproc time : 0.000
% 0.12/0.46 % Success case prop encoding time : 0.000
% 0.12/0.46 % Success case prop solver time : 0.000
% 0.12/0.46 % Current number of processed clauses : 145
% 0.12/0.46 % Positive orientable unit clauses : 91
% 0.12/0.46 % Positive unorientable unit clauses: 0
% 0.12/0.46 % Negative unit clauses : 1
% 0.12/0.46 % Non-unit-clauses : 53
% 0.12/0.46 % Current number of unprocessed clauses: 127
% 0.12/0.46 % ...number of literals in the above : 463
% 0.12/0.46 % Current number of archived formulas : 0
% 0.12/0.46 % Current number of archived clauses : 119
% 0.12/0.46 % Clause-clause subsumption calls (NU) : 1509
% 0.12/0.46 % Rec. Clause-clause subsumption calls : 1335
% 0.12/0.46 % Non-unit clause-clause subsumptions : 13
% 0.12/0.46 % Unit Clause-clause subsumption calls : 341
% 0.12/0.46 % Rewrite failures with RHS unbound : 0
% 0.12/0.46 % BW rewrite match attempts : 150
% 0.12/0.46 % BW rewrite match successes : 88
% 0.12/0.46 % Condensation attempts : 0
% 0.12/0.46 % Condensation successes : 0
% 0.12/0.46 % Termbank termtop insertions : 12633
% 0.12/0.46 % Search garbage collected termcells : 1549
% 0.12/0.46
% 0.12/0.46 % -------------------------------------------------
% 0.12/0.46 % User time : 0.018 s
% 0.12/0.46 % System time : 0.007 s
% 0.12/0.46 % Total time : 0.025 s
% 0.12/0.46 % Maximum resident set size: 4472 pages
% 0.12/0.46
% 0.12/0.46 % -------------------------------------------------
% 0.12/0.46 % User time : 0.025 s
% 0.12/0.46 % System time : 0.011 s
% 0.12/0.46 % Total time : 0.036 s
% 0.12/0.46 % Maximum resident set size: 5120 pages
% 0.12/0.46 % E exiting
%------------------------------------------------------------------------------