%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:12:40 PM UTC 2026
% Result : Satisfiable 0.13s 10.45s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named axiom_8ERROR: Could not build tree for root c_0_26ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_7,axiom,
xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
axiom_7,
[final] ).
cnf(c_0_8,axiom,
xor(X1,X1) = falsehood,
axiom_3,
[final] ).
cnf(c_0_9,plain,
xor(truth,xor(truth,X1)) = xor(falsehood,X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[final] ).
cnf(c_0_10,plain,
xor(X1,xor(truth,xor(X1,truth))) = falsehood,
inference(spm,[status(thm)],[c_0_8,c_0_7]),
[final] ).
cnf(c_0_11,axiom,
xor(X1,falsehood) = X1,
axiom_2,
[final] ).
cnf(c_0_12,axiom,
and_star(xor(truth,X1),X1) = falsehood,
axiom_6,
[final] ).
cnf(c_0_13,plain,
xor(falsehood,truth) = truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_8]),c_0_11]),
[final] ).
cnf(c_0_14,axiom,
and_star(xor(and_star(xor(truth,X1),X2),truth),X2) = and_star(xor(and_star(xor(truth,X2),X1),truth),X1),
axiom_8,
[final] ).
cnf(c_0_15,plain,
xor(X1,xor(falsehood,X2)) = xor(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_7]),c_0_8]),c_0_11]),c_0_7]),c_0_9]),
[final] ).
cnf(c_0_16,plain,
and_star(xor(falsehood,X1),xor(truth,X1)) = falsehood,
inference(spm,[status(thm)],[c_0_12,c_0_9]),
[final] ).
cnf(c_0_17,plain,
xor(falsehood,xor(truth,X1)) = xor(truth,X1),
inference(spm,[status(thm)],[c_0_7,c_0_13]),
[final] ).
cnf(c_0_19,axiom,
and_star(X1,falsehood) = falsehood,
axiom_5,
[final] ).
cnf(c_0_20,plain,
and_star(xor(truth,X1),xor(falsehood,X1)) = falsehood,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_9]),
[final] ).
cnf(c_0_21,plain,
and_star(xor(and_star(xor(truth,X1),xor(truth,X2)),truth),xor(truth,X2)) = and_star(xor(and_star(xor(falsehood,X2),X1),truth),X1),
inference(spm,[status(thm)],[c_0_14,c_0_9]),
[final] ).
cnf(c_0_22,plain,
and_star(xor(and_star(xor(truth,X1),xor(falsehood,X2)),truth),xor(falsehood,X2)) = and_star(xor(and_star(xor(truth,X1),X2),truth),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_18]),c_0_15]),
[final] ).
cnf(c_0_23,axiom,
and_star(X1,truth) = X1,
axiom_4,
[final] ).
cnf(c_0_24,plain,
and_star(xor(and_star(truth,X1),truth),X1) = falsehood,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_11]),
[final] ).
cnf(c_0_25,plain,
and_star(truth,xor(falsehood,X1)) = and_star(truth,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_13]),c_0_15]),c_0_12]),c_0_13]),
[final] ).
cnf(c_0_26,plain,
and_star(xor(and_star(xor(falsehood,X1),xor(truth,X2)),truth),xor(truth,X2)) = and_star(xor(and_star(xor(falsehood,X2),xor(truth,X1)),truth),xor(truth,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_9]),
[final] ).
cnf(c_0_27,plain,
and_star(xor(and_star(xor(falsehood,X1),xor(falsehood,X2)),truth),xor(falsehood,X2)) = and_star(xor(and_star(xor(falsehood,X1),X2),truth),X2),
inference(spm,[status(thm)],[c_0_22,c_0_9]),
[final] ).
cnf(c_0_28,plain,
and_star(xor(and_star(falsehood,X1),truth),X1) = xor(xor(truth,X1),truth),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_14]),c_0_8]),c_0_23]),
[final] ).
cnf(c_0_29,plain,
and_star(xor(and_star(truth,X1),truth),xor(falsehood,X1)) = falsehood,
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
cnf(c_0_30,plain,
xor(xor(falsehood,X1),X1) = falsehood,
inference(spm,[status(thm)],[c_0_8,c_0_15]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n019.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 00:29:16 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.42 Running first-order theorem proving
% 0.13/10.42 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
% 0.13/10.45 % Version: 3.5.1
% 0.13/10.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/10.45 % Starting new_bool_1 with 300s (1) cores
% 0.13/10.45 % Starting sh5l with 300s (1) cores
% 0.13/10.45 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1307450 completed with status 1
% 0.13/10.45 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.13/10.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/10.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/10.45 % No SInE strategy applied
% 0.13/10.45 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.13/10.45 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/10.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/10.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.13/10.45 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.13/10.45 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/10.45 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/10.45 % SubtermCWHack with pid 1307454 completed with status 1
% 0.13/10.45 % Result found by SubtermCWHack
% 0.13/10.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/10.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/10.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/10.45 % No SInE strategy applied
% 0.13/10.45 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.13/10.45 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/10.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/10.45 % Preprocessing time : 0.001 s
% 0.13/10.45
% 0.13/10.45 % No proof found!
% 0.13/10.45 % SZS status Satisfiable
% 0.13/10.45 % SZS output start Saturation
% See solution above
% 0.13/10.45 % Parsed axioms : 8
% 0.13/10.45 % Removed by relevancy pruning/SinE : 0
% 0.13/10.45 % Initial clauses : 8
% 0.13/10.45 % Removed in clause preprocessing : 1
% 0.13/10.45 % Initial clauses in saturation : 7
% 0.13/10.45 % Processed clauses : 74
% 0.13/10.45 % ...of these trivial : 20
% 0.13/10.45 % ...subsumed : 28
% 0.13/10.45 % ...remaining for further processing : 26
% 0.13/10.45 % Other redundant clauses eliminated : 0
% 0.13/10.45 % Clauses deleted for lack of memory : 0
% 0.13/10.45 % Backward-subsumed : 0
% 0.13/10.45 % Backward-rewritten : 3
% 0.13/10.45 % Generated clauses : 268
% 0.13/10.45 % ...of the previous two non-redundant : 94
% 0.13/10.45 % ...aggressively subsumed : 0
% 0.13/10.45 % Contextual simplify-reflections : 0
% 0.13/10.45 % Paramodulations : 268
% 0.13/10.45 % Factorizations : 0
% 0.13/10.45 % NegExts : 0
% 0.13/10.45 % Equation resolutions : 0
% 0.13/10.45 % Disequality decompositions : 0
% 0.13/10.45 % Total rewrite steps : 847
% 0.13/10.45 % ...of those cached : 801
% 0.13/10.45 % Propositional unsat checks : 0
% 0.13/10.45 % Propositional check models : 0
% 0.13/10.45 % Propositional check unsatisfiable : 0
% 0.13/10.45 % Propositional clauses : 0
% 0.13/10.45 % Propositional clauses after purity: 0
% 0.13/10.45 % Propositional unsat core size : 0
% 0.13/10.45 % Propositional preprocessing time : 0.000
% 0.13/10.45 % Propositional encoding time : 0.000
% 0.13/10.45 % Propositional solver time : 0.000
% 0.13/10.45 % Success case prop preproc time : 0.000
% 0.13/10.45 % Success case prop encoding time : 0.000
% 0.13/10.45 % Success case prop solver time : 0.000
% 0.13/10.45 % Current number of processed clauses : 23
% 0.13/10.45 % Positive orientable unit clauses : 20
% 0.13/10.45 % Positive unorientable unit clauses: 3
% 0.13/10.45 % Negative unit clauses : 0
% 0.13/10.45 % Non-unit-clauses : 0
% 0.13/10.45 % Current number of unprocessed clauses: 0
% 0.13/10.45 % ...number of literals in the above : 0
% 0.13/10.45 % Current number of archived formulas : 0
% 0.13/10.45 % Current number of archived clauses : 4
% 0.13/10.45 % Clause-clause subsumption calls (NU) : 0
% 0.13/10.45 % Rec. Clause-clause subsumption calls : 0
% 0.13/10.45 % Non-unit clause-clause subsumptions : 0
% 0.13/10.45 % Unit Clause-clause subsumption calls : 0
% 0.13/10.45 % Rewrite failures with RHS unbound : 0
% 0.13/10.45 % BW rewrite match attempts : 31
% 0.13/10.45 % BW rewrite match successes : 7
% 0.13/10.45 % Condensation attempts : 0
% 0.13/10.45 % Condensation successes : 0
% 0.13/10.45 % Termbank termtop insertions : 5624
% 0.13/10.45 % Search garbage collected termcells : 0
% 0.13/10.45
% 0.13/10.45 % -------------------------------------------------
% 0.13/10.45 % User time : 0.005 s
% 0.13/10.45 % System time : 0.004 s
% 0.13/10.45 % Total time : 0.009 s
% 0.13/10.45 % Maximum resident set size: 3640 pages
% 0.13/10.45
% 0.13/10.45 % -------------------------------------------------
% 0.13/10.45 % User time : 0.023 s
% 0.13/10.45 % System time : 0.015 s
% 0.13/10.45 % Total time : 0.038 s
% 0.13/10.45 % Maximum resident set size: 4864 pages
% 0.13/10.45 % E exiting
%------------------------------------------------------------------------------