%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 03:14:45 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.55s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 7 RR)
% Number of literals : 18 ( 17 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_004,axiom,
plus_not_idem(X1) = impl(eq(x2(X1,X1),X1),eq2(btrue,bfalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
cnf(axiom_006,axiom,
eq2(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
cnf(goal,negated_conjecture,
eq2(plus_not_idem(X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(axiom_002,axiom,
x2(z,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom_010,axiom,
eq(X1,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
cnf(axiom,axiom,
impl(btrue,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
cnf(axiom_011,axiom,
eq2(X1,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
cnf(c_0_7,axiom,
plus_not_idem(X1) = impl(eq(x2(X1,X1),X1),eq2(btrue,bfalse)),
axiom_004 ).
cnf(c_0_8,axiom,
eq2(btrue,bfalse) = bfalse,
axiom_006 ).
cnf(c_0_9,negated_conjecture,
eq2(plus_not_idem(X1),bfalse) != btrue,
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_10,plain,
impl(eq(x2(X1,X1),X1),bfalse) = plus_not_idem(X1),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
x2(z,X1) = X1,
axiom_002 ).
cnf(c_0_12,axiom,
eq(X1,X1) = btrue,
axiom_010 ).
cnf(c_0_13,axiom,
impl(btrue,X1) = X1,
axiom ).
cnf(c_0_14,negated_conjecture,
eq2(plus_not_idem(X1),bfalse) != btrue,
c_0_9 ).
cnf(c_0_15,plain,
plus_not_idem(z) = bfalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_16,axiom,
eq2(X1,X1) = btrue,
axiom_011 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n020.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 10:34:03 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.51 Running first-order theorem proving
% 0.16/0.51 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
% 0.16/0.55 % Version: 3.5.1
% 0.16/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.55 % Starting sh5l with 300s (1) cores
% 0.16/0.55 % new_bool_3 with pid 2697856 completed with status 0
% 0.16/0.55 % Result found by new_bool_3
% 0.16/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.55 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.16/0.55 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.55 % SubtermCWHack with pid 2697862 completed with status 0
% 0.16/0.55 % Result found by SubtermCWHack
% 0.16/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.55 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.16/0.55 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.55 % Preprocessing time : 0.002 s
% 0.16/0.55
% 0.16/0.55 % Proof found!
% 0.16/0.55 % SZS status Unsatisfiable
% 0.16/0.55 % SZS output start CNFRefutation
% See solution above
% 0.16/0.55 % Parsed axioms : 13
% 0.16/0.55 % Removed by relevancy pruning/SinE : 0
% 0.16/0.55 % Initial clauses : 13
% 0.16/0.55 % Removed in clause preprocessing : 0
% 0.16/0.55 % Initial clauses in saturation : 13
% 0.16/0.55 % Processed clauses : 14
% 0.16/0.55 % ...of these trivial : 0
% 0.16/0.55 % ...subsumed : 0
% 0.16/0.55 % ...remaining for further processing : 14
% 0.16/0.55 % Other redundant clauses eliminated : 0
% 0.16/0.55 % Clauses deleted for lack of memory : 0
% 0.16/0.55 % Backward-subsumed : 0
% 0.16/0.55 % Backward-rewritten : 0
% 0.16/0.55 % Generated clauses : 4
% 0.16/0.55 % ...of the previous two non-redundant : 2
% 0.16/0.55 % ...aggressively subsumed : 0
% 0.16/0.55 % Contextual simplify-reflections : 0
% 0.16/0.55 % Paramodulations : 4
% 0.16/0.55 % Factorizations : 0
% 0.16/0.55 % NegExts : 0
% 0.16/0.55 % Equation resolutions : 0
% 0.16/0.55 % Disequality decompositions : 0
% 0.16/0.55 % Total rewrite steps : 6
% 0.16/0.55 % ...of those cached : 0
% 0.16/0.55 % Propositional unsat checks : 0
% 0.16/0.55 % Propositional check models : 0
% 0.16/0.55 % Propositional check unsatisfiable : 0
% 0.16/0.55 % Propositional clauses : 0
% 0.16/0.55 % Propositional clauses after purity: 0
% 0.16/0.55 % Propositional unsat core size : 0
% 0.16/0.55 % Propositional preprocessing time : 0.000
% 0.16/0.55 % Propositional encoding time : 0.000
% 0.16/0.55 % Propositional solver time : 0.000
% 0.16/0.55 % Success case prop preproc time : 0.000
% 0.16/0.55 % Success case prop encoding time : 0.000
% 0.16/0.55 % Success case prop solver time : 0.000
% 0.16/0.55 % Current number of processed clauses : 14
% 0.16/0.55 % Positive orientable unit clauses : 13
% 0.16/0.55 % Positive unorientable unit clauses: 0
% 0.16/0.55 % Negative unit clauses : 1
% 0.16/0.55 % Non-unit-clauses : 0
% 0.16/0.55 % Current number of unprocessed clauses: 1
% 0.16/0.55 % ...number of literals in the above : 1
% 0.16/0.55 % Current number of archived formulas : 0
% 0.16/0.55 % Current number of archived clauses : 0
% 0.16/0.55 % Clause-clause subsumption calls (NU) : 0
% 0.16/0.55 % Rec. Clause-clause subsumption calls : 0
% 0.16/0.55 % Non-unit clause-clause subsumptions : 0
% 0.16/0.55 % Unit Clause-clause subsumption calls : 0
% 0.16/0.55 % Rewrite failures with RHS unbound : 0
% 0.16/0.55 % BW rewrite match attempts : 2
% 0.16/0.55 % BW rewrite match successes : 0
% 0.16/0.55 % Condensation attempts : 0
% 0.16/0.55 % Condensation successes : 0
% 0.16/0.55 % Termbank termtop insertions : 232
% 0.16/0.55 % Search garbage collected termcells : 2
% 0.16/0.55
% 0.16/0.55 % -------------------------------------------------
% 0.16/0.55 % User time : 0.004 s
% 0.16/0.55 % System time : 0.002 s
% 0.16/0.55 % Total time : 0.006 s
% 0.16/0.55 % Maximum resident set size: 3636 pages
% 0.16/0.55
% 0.16/0.55 % -------------------------------------------------
% 0.16/0.55 % User time : 0.008 s
% 0.16/0.55 % System time : 0.007 s
% 0.16/0.55 % Total time : 0.015 s
% 0.16/0.55 % Maximum resident set size: 4864 pages
% 0.16/0.55 % E exiting
%------------------------------------------------------------------------------