%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWX204-1 : 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 : n026.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 03:14:15 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 7 RR)
% Number of literals : 23 ( 22 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(goal,negated_conjecture,
eq2(mul_idem(X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(axiom_004,axiom,
mul_idem(X1) = eq(x22(X1,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
cnf(axiom_003,axiom,
x22(s(X1),X2) = x2(X2,x22(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
cnf(axiom_001,axiom,
x2(s(X1),X2) = s(x2(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
cnf(axiom_007,axiom,
eq(s(X1),s(X2)) = eq(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
cnf(axiom_002,axiom,
x22(z,X1) = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom,axiom,
x2(z,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
cnf(axiom_009,axiom,
eq(s(X1),z) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
cnf(axiom_011,axiom,
eq2(X1,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
cnf(c_0_9,negated_conjecture,
eq2(mul_idem(X1),bfalse) != btrue,
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_10,negated_conjecture,
eq2(mul_idem(X1),bfalse) != btrue,
c_0_9 ).
cnf(c_0_11,axiom,
mul_idem(X1) = eq(x22(X1,X1),X1),
axiom_004 ).
cnf(c_0_12,negated_conjecture,
eq2(eq(x22(X1,X1),X1),bfalse) != btrue,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
x22(s(X1),X2) = x2(X2,x22(X1,X2)),
axiom_003 ).
cnf(c_0_14,axiom,
x2(s(X1),X2) = s(x2(X1,X2)),
axiom_001 ).
cnf(c_0_15,axiom,
eq(s(X1),s(X2)) = eq(X1,X2),
axiom_007 ).
cnf(c_0_16,negated_conjecture,
eq2(eq(x2(X1,x22(X1,s(X1))),X1),bfalse) != btrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
eq2(eq(x2(X1,s(s(x2(X1,x22(X1,s(s(X1))))))),X1),bfalse) != btrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_14]),c_0_14]),c_0_14]),c_0_15]) ).
cnf(c_0_18,axiom,
x22(z,X1) = z,
axiom_002 ).
cnf(c_0_19,axiom,
x2(z,X1) = X1,
axiom ).
cnf(c_0_20,axiom,
eq(s(X1),z) = bfalse,
axiom_009 ).
cnf(c_0_21,axiom,
eq2(X1,X1) = btrue,
axiom_011 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX204-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.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 10:36:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.44 % Version: 3.5.1
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % Starting sh5l with 300s (1) cores
% 0.10/0.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2044121 completed with status 0
% 0.10/0.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.44 % No SInE strategy applied
% 0.10/0.44 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.10/0.44 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.10/0.44 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.10/0.44 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.10/0.44 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.10/0.44 % H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 2044129 completed with status 0
% 0.10/0.44 % Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.44 % No SInE strategy applied
% 0.10/0.44 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.10/0.44 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.10/0.44 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.10/0.44 % Preprocessing time : 0.001 s
% 0.10/0.44
% 0.10/0.44 % Proof found!
% 0.10/0.44 % SZS status Unsatisfiable
% 0.10/0.44 % SZS output start CNFRefutation
% See solution above
% 0.10/0.44 % Parsed axioms : 13
% 0.10/0.44 % Removed by relevancy pruning/SinE : 0
% 0.10/0.44 % Initial clauses : 13
% 0.10/0.44 % Removed in clause preprocessing : 1
% 0.10/0.44 % Initial clauses in saturation : 12
% 0.10/0.44 % Processed clauses : 17
% 0.10/0.44 % ...of these trivial : 0
% 0.10/0.44 % ...subsumed : 2
% 0.10/0.44 % ...remaining for further processing : 15
% 0.10/0.44 % Other redundant clauses eliminated : 0
% 0.10/0.44 % Clauses deleted for lack of memory : 0
% 0.10/0.44 % Backward-subsumed : 0
% 0.10/0.44 % Backward-rewritten : 0
% 0.10/0.44 % Generated clauses : 13
% 0.10/0.44 % ...of the previous two non-redundant : 7
% 0.10/0.44 % ...aggressively subsumed : 0
% 0.10/0.44 % Contextual simplify-reflections : 0
% 0.10/0.44 % Paramodulations : 13
% 0.10/0.44 % Factorizations : 0
% 0.10/0.44 % NegExts : 0
% 0.10/0.44 % Equation resolutions : 0
% 0.10/0.44 % Disequality decompositions : 0
% 0.10/0.44 % Total rewrite steps : 29
% 0.10/0.44 % ...of those cached : 8
% 0.10/0.44 % Propositional unsat checks : 0
% 0.10/0.44 % Propositional check models : 0
% 0.10/0.44 % Propositional check unsatisfiable : 0
% 0.10/0.44 % Propositional clauses : 0
% 0.10/0.44 % Propositional clauses after purity: 0
% 0.10/0.44 % Propositional unsat core size : 0
% 0.10/0.44 % Propositional preprocessing time : 0.000
% 0.10/0.44 % Propositional encoding time : 0.000
% 0.10/0.44 % Propositional solver time : 0.000
% 0.10/0.44 % Success case prop preproc time : 0.000
% 0.10/0.44 % Success case prop encoding time : 0.000
% 0.10/0.44 % Success case prop solver time : 0.000
% 0.10/0.44 % Current number of processed clauses : 15
% 0.10/0.44 % Positive orientable unit clauses : 11
% 0.10/0.44 % Positive unorientable unit clauses: 0
% 0.10/0.44 % Negative unit clauses : 4
% 0.10/0.44 % Non-unit-clauses : 0
% 0.10/0.44 % Current number of unprocessed clauses: 1
% 0.10/0.44 % ...number of literals in the above : 1
% 0.10/0.44 % Current number of archived formulas : 0
% 0.10/0.44 % Current number of archived clauses : 1
% 0.10/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.44 % Non-unit clause-clause subsumptions : 0
% 0.10/0.44 % Unit Clause-clause subsumption calls : 4
% 0.10/0.44 % Rewrite failures with RHS unbound : 0
% 0.10/0.44 % BW rewrite match attempts : 4
% 0.10/0.44 % BW rewrite match successes : 0
% 0.10/0.44 % Condensation attempts : 0
% 0.10/0.44 % Condensation successes : 0
% 0.10/0.44 % Termbank termtop insertions : 435
% 0.10/0.44 % Search garbage collected termcells : 2
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.003 s
% 0.10/0.44 % System time : 0.003 s
% 0.10/0.44 % Total time : 0.006 s
% 0.10/0.44 % Maximum resident set size: 3632 pages
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.014 s
% 0.10/0.44 % System time : 0.013 s
% 0.10/0.44 % Total time : 0.027 s
% 0.10/0.44 % Maximum resident set size: 4864 pages
% 0.10/0.44 % E exiting
%------------------------------------------------------------------------------