%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL109-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:11:47 PM UTC 2026
% Result : Unsatisfiable 2.00s 0.88s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 5 RR)
% Number of literals : 30 ( 29 equ; 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wajsberg_3,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
cnf(lemma_4,axiom,
implies(X1,implies(X2,X1)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
cnf(wajsberg_1,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
cnf(lemma_10,axiom,
implies(not(X1),not(X2)) = implies(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_10) ).
cnf(lemma_9,axiom,
not(not(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(lemma_7,axiom,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7) ).
cnf(prove_wajsberg_mv_4,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_mv_4) ).
cnf(lemma_1,axiom,
implies(X1,X1) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
cnf(c_0_8,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
wajsberg_3 ).
cnf(c_0_9,axiom,
implies(X1,implies(X2,X1)) = truth,
lemma_4 ).
cnf(c_0_10,axiom,
implies(truth,X1) = X1,
wajsberg_1 ).
cnf(c_0_11,axiom,
implies(not(X1),not(X2)) = implies(X2,X1),
lemma_10 ).
cnf(c_0_12,axiom,
not(not(X1)) = X1,
lemma_9 ).
cnf(c_0_13,plain,
implies(implies(implies(X1,X2),X2),X2) = implies(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_14,plain,
implies(not(X1),X2) = implies(not(X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
lemma_7 ).
cnf(c_0_16,plain,
implies(implies(implies(X1,X2),X2),X1) = implies(X2,X1),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_17,plain,
implies(X1,not(X2)) = implies(X2,not(X1)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
inference(fof_simplification,[status(thm)],[prove_wajsberg_mv_4]) ).
cnf(c_0_19,plain,
implies(not(implies(X1,X2)),X3) = implies(X1,implies(not(X3),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
implies(X1,not(implies(X2,not(implies(X2,X1))))) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_17]),c_0_11]),c_0_17]) ).
cnf(c_0_21,plain,
implies(not(X1),implies(X1,X2)) = truth,
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_22,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
c_0_18 ).
cnf(c_0_23,plain,
implies(X1,implies(implies(X2,not(implies(X2,X1))),X3)) = implies(X1,implies(not(X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_19]),c_0_11]) ).
cnf(c_0_24,plain,
implies(X1,implies(not(X1),X2)) = truth,
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_25,axiom,
implies(X1,X1) = truth,
lemma_1 ).
cnf(c_0_26,negated_conjecture,
implies(b,implies(implies(b,implies(implies(a,b),a)),a)) != truth,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_15]),c_0_15]) ).
cnf(c_0_27,plain,
implies(X1,implies(implies(X2,X1),X2)) = implies(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_8]),c_0_19]),c_0_24]),c_0_10]),c_0_12]) ).
cnf(c_0_28,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL109-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 % Computer : n006.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 00:05:00 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.55 Running first-order theorem proving
% 0.21/0.56 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
% 2.00/0.88 % Version: 3.5.1
% 2.00/0.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.00/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.00/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.00/0.88 % Starting new_bool_3 with 300s (1) cores
% 2.00/0.88 % Starting new_bool_1 with 300s (1) cores
% 2.00/0.88 % Starting sh5l with 300s (1) cores
% 2.00/0.88 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1592885 completed with status 0
% 2.00/0.88 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.00/0.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.00/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.00/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.00/0.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.00/0.88 % No SInE strategy applied
% 2.00/0.88 % Search class: FUUPM-FFSF32-MFFFFFNN
% 2.00/0.88 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.00/0.88 % Starting SubtermCWHack with 136s (1) cores
% 2.00/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.00/0.88 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2.00/0.88 % Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.00/0.88 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 2.00/0.88 % H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 1592896 completed with status 0
% 2.00/0.88 % Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 2.00/0.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.00/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.00/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.00/0.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.00/0.88 % No SInE strategy applied
% 2.00/0.88 % Search class: FUUPM-FFSF32-MFFFFFNN
% 2.00/0.88 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.00/0.88 % Starting SubtermCWHack with 136s (1) cores
% 2.00/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.00/0.88 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 2.00/0.88 % Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.00/0.88 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 2.00/0.88 % Preprocessing time : 0.002 s
% 2.00/0.88 % Presaturation interreduction done
% 2.00/0.88
% 2.00/0.88 % Proof found!
% 2.00/0.88 % SZS status Unsatisfiable
% 2.00/0.88 % SZS output start CNFRefutation
% See solution above
% 2.00/0.88 % Parsed axioms : 16
% 2.00/0.88 % Removed by relevancy pruning/SinE : 0
% 2.00/0.88 % Initial clauses : 16
% 2.00/0.88 % Removed in clause preprocessing : 0
% 2.00/0.88 % Initial clauses in saturation : 16
% 2.00/0.88 % Processed clauses : 649
% 2.00/0.88 % ...of these trivial : 434
% 2.00/0.88 % ...subsumed : 53
% 2.00/0.88 % ...remaining for further processing : 162
% 2.00/0.88 % Other redundant clauses eliminated : 0
% 2.00/0.88 % Clauses deleted for lack of memory : 0
% 2.00/0.88 % Backward-subsumed : 0
% 2.00/0.88 % Backward-rewritten : 7
% 2.00/0.88 % Generated clauses : 17540
% 2.00/0.88 % ...of the previous two non-redundant : 8488
% 2.00/0.88 % ...aggressively subsumed : 0
% 2.00/0.88 % Contextual simplify-reflections : 0
% 2.00/0.88 % Paramodulations : 17540
% 2.00/0.88 % Factorizations : 0
% 2.00/0.88 % NegExts : 0
% 2.00/0.88 % Equation resolutions : 0
% 2.00/0.88 % Disequality decompositions : 0
% 2.00/0.88 % Total rewrite steps : 25431
% 2.00/0.88 % ...of those cached : 20474
% 2.00/0.88 % Propositional unsat checks : 0
% 2.00/0.88 % Propositional check models : 0
% 2.00/0.88 % Propositional check unsatisfiable : 0
% 2.00/0.88 % Propositional clauses : 0
% 2.00/0.88 % Propositional clauses after purity: 0
% 2.00/0.88 % Propositional unsat core size : 0
% 2.00/0.88 % Propositional preprocessing time : 0.000
% 2.00/0.88 % Propositional encoding time : 0.000
% 2.00/0.88 % Propositional solver time : 0.000
% 2.00/0.88 % Success case prop preproc time : 0.000
% 2.00/0.88 % Success case prop encoding time : 0.000
% 2.00/0.88 % Success case prop solver time : 0.000
% 2.00/0.88 % Current number of processed clauses : 140
% 2.00/0.88 % Positive orientable unit clauses : 134
% 2.00/0.88 % Positive unorientable unit clauses: 5
% 2.00/0.88 % Negative unit clauses : 1
% 2.00/0.88 % Non-unit-clauses : 0
% 2.00/0.88 % Current number of unprocessed clauses: 7859
% 2.00/0.88 % ...number of literals in the above : 7859
% 2.00/0.88 % Current number of archived formulas : 0
% 2.00/0.88 % Current number of archived clauses : 22
% 2.00/0.88 % Clause-clause subsumption calls (NU) : 0
% 2.00/0.88 % Rec. Clause-clause subsumption calls : 0
% 2.00/0.88 % Non-unit clause-clause subsumptions : 0
% 2.00/0.88 % Unit Clause-clause subsumption calls : 22
% 2.00/0.88 % Rewrite failures with RHS unbound : 0
% 2.00/0.88 % BW rewrite match attempts : 846
% 2.00/0.88 % BW rewrite match successes : 92
% 2.00/0.88 % Condensation attempts : 0
% 2.00/0.88 % Condensation successes : 0
% 2.00/0.88 % Termbank termtop insertions : 179619
% 2.00/0.88 % Search garbage collected termcells : 2
% 2.00/0.88
% 2.00/0.88 % -------------------------------------------------
% 2.00/0.88 % User time : 0.252 s
% 2.00/0.88 % System time : 0.020 s
% 2.00/0.88 % Total time : 0.272 s
% 2.00/0.88 % Maximum resident set size: 3636 pages
% 2.00/0.88
% 2.00/0.88 % -------------------------------------------------
% 2.00/0.88 % User time : 1.344 s
% 2.00/0.88 % System time : 0.091 s
% 2.00/0.88 % Total time : 1.435 s
% 2.00/0.88 % Maximum resident set size: 4608 pages
% 2.00/0.88 % E exiting
%------------------------------------------------------------------------------