%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWX200-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 03:14:43 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 8 RR)
% Number of literals : 25 ( 24 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 35 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_015,axiom,
prop_merge_ord_not3(X1,X2) = impl(eq2(ord(X1),btrue),impl(eq2(ord(X2),bfalse),eq2(ord(merge(X1,X2)),btrue))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
cnf(axiom_007,axiom,
merge(nil,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
cnf(axiom_010,axiom,
ord(nil) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
cnf(axiom_022,axiom,
eq2(X1,X1) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
cnf(axiom_013,axiom,
impl(btrue,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
cnf(axiom_012,axiom,
ord(cons(X1,cons(X2,X3))) = aux2(X1,X2,X3,leqNat(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
cnf(axiom_005,axiom,
leqNat(s(X1),z) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_003,axiom,
aux2(X1,X2,X3,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
cnf(goal,negated_conjecture,
eq2(prop_merge_ord_not3(X1,X2),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(axiom_016,axiom,
eq2(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
cnf(c_0_10,axiom,
prop_merge_ord_not3(X1,X2) = impl(eq2(ord(X1),btrue),impl(eq2(ord(X2),bfalse),eq2(ord(merge(X1,X2)),btrue))),
axiom_015 ).
cnf(c_0_11,axiom,
merge(nil,X1) = X1,
axiom_007 ).
cnf(c_0_12,axiom,
ord(nil) = btrue,
axiom_010 ).
cnf(c_0_13,axiom,
eq2(X1,X1) = btrue,
axiom_022 ).
cnf(c_0_14,axiom,
impl(btrue,X1) = X1,
axiom_013 ).
cnf(c_0_15,axiom,
ord(cons(X1,cons(X2,X3))) = aux2(X1,X2,X3,leqNat(X1,X2)),
axiom_012 ).
cnf(c_0_16,axiom,
leqNat(s(X1),z) = bfalse,
axiom_005 ).
cnf(c_0_17,axiom,
aux2(X1,X2,X3,bfalse) = bfalse,
axiom_003 ).
cnf(c_0_18,negated_conjecture,
eq2(prop_merge_ord_not3(X1,X2),bfalse) != btrue,
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_19,plain,
impl(eq2(ord(X1),bfalse),eq2(ord(X1),btrue)) = prop_merge_ord_not3(nil,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]) ).
cnf(c_0_20,plain,
ord(cons(s(X1),cons(z,X2))) = bfalse,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,axiom,
eq2(bfalse,btrue) = bfalse,
axiom_016 ).
cnf(c_0_22,negated_conjecture,
eq2(prop_merge_ord_not3(X1,X2),bfalse) != btrue,
c_0_18 ).
cnf(c_0_23,plain,
prop_merge_ord_not3(nil,cons(s(X1),cons(z,X2))) = bfalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_13]),c_0_21]),c_0_14]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX200-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n008.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 10:34:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.43 % Version: 3.5.1
% 0.09/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % Starting sh5l with 300s (1) cores
% 0.09/0.43 % sh5l with pid 764721 completed with status 0
% 0.09/0.43 % Result found by sh5l
% 0.09/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % Starting sh5l with 300s (1) cores
% 0.09/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.09/0.43 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.09/0.43 % Search class: FUUPM-FFSS32-MFFFFFNN
% 0.09/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.09/0.43 % SubtermCWHack with pid 764726 completed with status 0
% 0.09/0.43 % Result found by SubtermCWHack
% 0.09/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % Starting sh5l with 300s (1) cores
% 0.09/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.09/0.43 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.09/0.43 % Search class: FUUPM-FFSS32-MFFFFFNN
% 0.09/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.09/0.43 % Preprocessing time : 0.001 s
% 0.09/0.43
% 0.09/0.43 % Proof found!
% 0.09/0.43 % SZS status Unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation
% See solution above
% 0.09/0.44 % Parsed axioms : 24
% 0.09/0.44 % Removed by relevancy pruning/SinE : 0
% 0.09/0.44 % Initial clauses : 24
% 0.09/0.44 % Removed in clause preprocessing : 0
% 0.09/0.44 % Initial clauses in saturation : 24
% 0.09/0.44 % Processed clauses : 38
% 0.09/0.44 % ...of these trivial : 1
% 0.09/0.44 % ...subsumed : 3
% 0.09/0.44 % ...remaining for further processing : 34
% 0.09/0.44 % Other redundant clauses eliminated : 0
% 0.09/0.44 % Clauses deleted for lack of memory : 0
% 0.09/0.44 % Backward-subsumed : 0
% 0.09/0.44 % Backward-rewritten : 0
% 0.09/0.44 % Generated clauses : 45
% 0.09/0.44 % ...of the previous two non-redundant : 36
% 0.09/0.44 % ...aggressively subsumed : 0
% 0.09/0.44 % Contextual simplify-reflections : 0
% 0.09/0.44 % Paramodulations : 45
% 0.09/0.44 % Factorizations : 0
% 0.09/0.44 % NegExts : 0
% 0.09/0.44 % Equation resolutions : 0
% 0.09/0.44 % Disequality decompositions : 0
% 0.09/0.44 % Total rewrite steps : 75
% 0.09/0.44 % ...of those cached : 47
% 0.09/0.44 % Propositional unsat checks : 0
% 0.09/0.44 % Propositional check models : 0
% 0.09/0.44 % Propositional check unsatisfiable : 0
% 0.09/0.44 % Propositional clauses : 0
% 0.09/0.44 % Propositional clauses after purity: 0
% 0.09/0.44 % Propositional unsat core size : 0
% 0.09/0.44 % Propositional preprocessing time : 0.000
% 0.09/0.44 % Propositional encoding time : 0.000
% 0.09/0.44 % Propositional solver time : 0.000
% 0.09/0.44 % Success case prop preproc time : 0.000
% 0.09/0.44 % Success case prop encoding time : 0.000
% 0.09/0.44 % Success case prop solver time : 0.000
% 0.09/0.44 % Current number of processed clauses : 34
% 0.09/0.44 % Positive orientable unit clauses : 32
% 0.09/0.44 % Positive unorientable unit clauses: 0
% 0.09/0.44 % Negative unit clauses : 2
% 0.09/0.44 % Non-unit-clauses : 0
% 0.09/0.44 % Current number of unprocessed clauses: 22
% 0.09/0.44 % ...number of literals in the above : 22
% 0.09/0.44 % Current number of archived formulas : 0
% 0.09/0.44 % Current number of archived clauses : 0
% 0.09/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.09/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.09/0.44 % Non-unit clause-clause subsumptions : 0
% 0.09/0.44 % Unit Clause-clause subsumption calls : 1
% 0.09/0.44 % Rewrite failures with RHS unbound : 0
% 0.09/0.44 % BW rewrite match attempts : 6
% 0.09/0.44 % BW rewrite match successes : 0
% 0.09/0.44 % Condensation attempts : 0
% 0.09/0.44 % Condensation successes : 0
% 0.09/0.44 % Termbank termtop insertions : 1084
% 0.09/0.44 % Search garbage collected termcells : 2
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.004 s
% 0.09/0.44 % System time : 0.002 s
% 0.09/0.44 % Total time : 0.006 s
% 0.09/0.44 % Maximum resident set size: 3644 pages
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.005 s
% 0.09/0.44 % System time : 0.007 s
% 0.09/0.44 % Total time : 0.012 s
% 0.09/0.44 % Maximum resident set size: 4608 pages
% 0.09/0.44 % E exiting
%------------------------------------------------------------------------------