%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN294-1 : 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 : n011.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 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 16 unt; 0 nHn; 25 RR)
% Number of literals : 48 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 27 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_001,axiom,
( ~ n0(X2,X1)
| k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(rule_034,axiom,
( ~ q0(X1,X1)
| ~ k1(X2)
| ~ k1(a)
| m1(X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_034) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(rule_113,axiom,
( ~ m1(X1,X2,X2)
| ~ r0(X3)
| q1(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).
cnf(prove_this,negated_conjecture,
~ q1(d,d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(c_0_8,plain,
( ~ n0(X2,X1)
| k1(X1) ),
inference(fof_simplification,[status(thm)],[rule_001]) ).
cnf(c_0_9,plain,
( ~ q0(X1,X1)
| ~ k1(X2)
| ~ k1(a)
| m1(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[rule_034]) ).
cnf(c_0_10,plain,
( ~ n0(X2,X1)
| k1(X1) ),
c_0_8 ).
cnf(c_0_11,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_12,plain,
( ~ q0(X1,X1)
| ~ k1(X2)
| ~ k1(a)
| m1(X1,X2,X2) ),
c_0_9 ).
cnf(c_0_13,plain,
k1(a),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( ~ q0(X1,X1)
| ~ k1(X2)
| m1(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_15,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_16,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_17,plain,
( ~ m1(X1,X2,X2)
| ~ r0(X3)
| q1(X1,X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_113]) ).
cnf(c_0_18,plain,
( ~ k1(X1)
| m1(d,X1,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
k1(c),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ q1(d,d,c),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_21,plain,
( ~ m1(X1,X2,X2)
| ~ r0(X3)
| q1(X1,X1,X2) ),
c_0_17 ).
cnf(c_0_22,plain,
m1(d,c,c),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ q1(d,d,c),
c_0_20 ).
cnf(c_0_24,axiom,
r0(e),
axiom_13 ).
cnf(c_0_25,plain,
~ r0(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[c_0_24,c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN294-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:47:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.45 % Version: 3.5.1
% 0.13/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.45 % Starting sh5l with 300s (1) cores
% 0.13/0.45 % new_bool_3 with pid 1708936 completed with status 0
% 0.13/0.45 % Result found by new_bool_3
% 0.13/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.45 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.13/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.45 % SubtermCWHack with pid 1708941 completed with status 0
% 0.13/0.45 % Result found by SubtermCWHack
% 0.13/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.45 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.13/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.45 % Preprocessing time : 0.003 s
% 0.13/0.45
% 0.13/0.45 % Proof found!
% 0.13/0.45 % SZS status Unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
% 0.13/0.45 % Parsed axioms : 369
% 0.13/0.45 % Removed by relevancy pruning/SinE : 160
% 0.13/0.45 % Initial clauses : 209
% 0.13/0.45 % Removed in clause preprocessing : 5
% 0.13/0.45 % Initial clauses in saturation : 204
% 0.13/0.45 % Processed clauses : 305
% 0.13/0.45 % ...of these trivial : 34
% 0.13/0.45 % ...subsumed : 7
% 0.13/0.45 % ...remaining for further processing : 264
% 0.13/0.45 % Other redundant clauses eliminated : 0
% 0.13/0.45 % Clauses deleted for lack of memory : 0
% 0.13/0.45 % Backward-subsumed : 24
% 0.13/0.45 % Backward-rewritten : 83
% 0.13/0.45 % Generated clauses : 314
% 0.13/0.45 % ...of the previous two non-redundant : 186
% 0.13/0.45 % ...aggressively subsumed : 0
% 0.13/0.45 % Contextual simplify-reflections : 1
% 0.13/0.45 % Paramodulations : 312
% 0.13/0.45 % Factorizations : 0
% 0.13/0.45 % NegExts : 0
% 0.13/0.45 % Equation resolutions : 0
% 0.13/0.45 % Disequality decompositions : 0
% 0.13/0.45 % Total rewrite steps : 301
% 0.13/0.45 % ...of those cached : 177
% 0.13/0.45 % Propositional unsat checks : 0
% 0.13/0.45 % Propositional check models : 0
% 0.13/0.45 % Propositional check unsatisfiable : 0
% 0.13/0.45 % Propositional clauses : 0
% 0.13/0.45 % Propositional clauses after purity: 0
% 0.13/0.45 % Propositional unsat core size : 0
% 0.13/0.45 % Propositional preprocessing time : 0.000
% 0.13/0.45 % Propositional encoding time : 0.000
% 0.13/0.45 % Propositional solver time : 0.000
% 0.13/0.45 % Success case prop preproc time : 0.000
% 0.13/0.45 % Success case prop encoding time : 0.000
% 0.13/0.45 % Success case prop solver time : 0.000
% 0.13/0.45 % Current number of processed clauses : 155
% 0.13/0.45 % Positive orientable unit clauses : 100
% 0.13/0.45 % Positive unorientable unit clauses: 0
% 0.13/0.45 % Negative unit clauses : 2
% 0.13/0.45 % Non-unit-clauses : 53
% 0.13/0.45 % Current number of unprocessed clauses: 66
% 0.13/0.45 % ...number of literals in the above : 230
% 0.13/0.45 % Current number of archived formulas : 0
% 0.13/0.45 % Current number of archived clauses : 109
% 0.13/0.45 % Clause-clause subsumption calls (NU) : 1917
% 0.13/0.45 % Rec. Clause-clause subsumption calls : 1739
% 0.13/0.45 % Non-unit clause-clause subsumptions : 20
% 0.13/0.45 % Unit Clause-clause subsumption calls : 199
% 0.13/0.45 % Rewrite failures with RHS unbound : 0
% 0.13/0.45 % BW rewrite match attempts : 149
% 0.13/0.45 % BW rewrite match successes : 70
% 0.13/0.45 % Condensation attempts : 0
% 0.13/0.45 % Condensation successes : 0
% 0.13/0.45 % Termbank termtop insertions : 10974
% 0.13/0.45 % Search garbage collected termcells : 1642
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.016 s
% 0.13/0.45 % System time : 0.004 s
% 0.13/0.45 % Total time : 0.020 s
% 0.13/0.45 % Maximum resident set size: 4216 pages
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.024 s
% 0.13/0.45 % System time : 0.008 s
% 0.13/0.45 % Total time : 0.031 s
% 0.13/0.45 % Maximum resident set size: 5120 pages
% 0.13/0.45 % E exiting
%------------------------------------------------------------------------------