%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ042-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:01:41 PM UTC 2026
% Result : Unsatisfiable 7.59s 1.55s
% Output : CNFRefutation 7.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 12 unt; 0 nHn; 30 RR)
% Number of literals : 48 ( 0 equ; 21 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 252 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s3_left,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,s(X10)),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(X9,s(X10)),X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',s3_left) ).
cnf(swap_blanks,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14))
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',swap_blanks) ).
cnf(initial_state,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
cnf(s4_right,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(X10,s(X11)),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,s(X11)),e1(X10,X11),X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',s4_right) ).
cnf(s2_down,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(s(X8),X9),X12)
| state(X1,X2,X3,X4,X5,X6,X7,s2(s(X8),X9),X10,X11,e1(X8,X9),X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',s2_down) ).
cnf(s1_down,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',s1_down) ).
cnf(h_down,axiom,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(s(X6),X7),e2(s(X6),s(X7)))
| state(X1,X2,X3,X4,X5,h(s(X6),X7),X8,X9,X10,X11,e1(X6,X7),e2(X6,s(X7))) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',h_down) ).
cnf(goal_state,negated_conjecture,
~ state(X1,X2,X3,X4,X5,h(s(s(s(o))),s(o)),X6,X7,X8,X9,X10,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
cnf(c_0_8,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,s(X10)),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(X9,s(X10)),X12) ),
inference(fof_simplification,[status(thm)],[s3_left]) ).
cnf(c_0_9,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14))
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)) ),
inference(fof_simplification,[status(thm)],[swap_blanks]) ).
cnf(c_0_10,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,s(X10)),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(X9,s(X10)),X12) ),
c_0_8 ).
cnf(c_0_11,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
initial_state ).
cnf(c_0_12,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(X10,s(X11)),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,s(X11)),e1(X10,X11),X12) ),
inference(fof_simplification,[status(thm)],[s4_right]) ).
cnf(c_0_13,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14))
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)) ),
c_0_9 ).
cnf(c_0_14,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(s(X8),X9),X12)
| state(X1,X2,X3,X4,X5,X6,X7,s2(s(X8),X9),X10,X11,e1(X8,X9),X12) ),
inference(fof_simplification,[status(thm)],[s2_down]) ).
cnf(c_0_16,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(X10,s(X11)),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,s(X11)),e1(X10,X11),X12) ),
c_0_12 ).
cnf(c_0_17,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),s(o))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(s(X8),X9),X12)
| state(X1,X2,X3,X4,X5,X6,X7,s2(s(X8),X9),X10,X11,e1(X8,X9),X12) ),
c_0_15 ).
cnf(c_0_19,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),s(o))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12) ),
inference(fof_simplification,[status(thm)],[s1_down]) ).
cnf(c_0_21,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),s(o))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(s(X6),X7),e2(s(X6),s(X7)))
| state(X1,X2,X3,X4,X5,h(s(X6),X7),X8,X9,X10,X11,e1(X6,X7),e2(X6,s(X7))) ),
inference(fof_simplification,[status(thm)],[h_down]) ).
cnf(c_0_23,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12) ),
c_0_20 ).
cnf(c_0_24,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(o))),s(s(o)))),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ state(X1,X2,X3,X4,X5,h(s(s(s(o))),s(o)),X6,X7,X8,X9,X10,X11),
inference(fof_simplification,[status(thm)],[goal_state]) ).
cnf(c_0_26,plain,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(s(X6),X7),e2(s(X6),s(X7)))
| state(X1,X2,X3,X4,X5,h(s(X6),X7),X8,X9,X10,X11,e1(X6,X7),e2(X6,s(X7))) ),
c_0_22 ).
cnf(c_0_27,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ state(X1,X2,X3,X4,X5,h(s(s(s(o))),s(o)),X6,X7,X8,X9,X10,X11),
c_0_25 ).
cnf(c_0_29,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:46:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 7.59/1.55 % Version: 3.5.1
% 7.59/1.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.59/1.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.59/1.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.59/1.55 % Starting new_bool_3 with 300s (1) cores
% 7.59/1.55 % Starting new_bool_1 with 300s (1) cores
% 7.59/1.55 % Starting sh5l with 300s (1) cores
% 7.59/1.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2176736 completed with status 0
% 7.59/1.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.59/1.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.59/1.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.59/1.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.59/1.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.59/1.55 % No SInE strategy applied
% 7.59/1.55 % Search class: FHUNF-FFLF21-MFFFFFNN
% 7.59/1.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.59/1.55 % Starting SubtermCWHack with 136s (1) cores
% 7.59/1.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.59/1.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 154s (1) cores
% 7.59/1.55 % Starting new_bool_3 with 154s (1) cores
% 7.59/1.55 % Starting new_bool_1 with 154s (1) cores
% 7.59/1.55 % new_bool_3 with pid 2176745 completed with status 0
% 7.59/1.55 % Result found by new_bool_3
% 7.59/1.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 7.59/1.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.59/1.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.59/1.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.59/1.55 % No SInE strategy applied
% 7.59/1.55 % Search class: FHUNF-FFLF21-MFFFFFNN
% 7.59/1.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.59/1.55 % Starting SubtermCWHack with 136s (1) cores
% 7.59/1.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.59/1.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 154s (1) cores
% 7.59/1.55 % Starting new_bool_3 with 154s (1) cores
% 7.59/1.55 % Preprocessing time : 0.002 s
% 7.59/1.55 % Presaturation interreduction done
% 7.59/1.55
% 7.59/1.55 % Proof found!
% 7.59/1.55 % SZS status Unsatisfiable
% 7.59/1.55 % SZS output start CNFRefutation
% See solution above
% 7.59/1.55 % Parsed axioms : 43
% 7.59/1.55 % Removed by relevancy pruning/SinE : 0
% 7.59/1.55 % Initial clauses : 43
% 7.59/1.55 % Removed in clause preprocessing : 0
% 7.59/1.55 % Initial clauses in saturation : 43
% 7.59/1.55 % Processed clauses : 2052
% 7.59/1.55 % ...of these trivial : 367
% 7.59/1.55 % ...subsumed : 0
% 7.59/1.55 % ...remaining for further processing : 1685
% 7.59/1.55 % Other redundant clauses eliminated : 0
% 7.59/1.55 % Clauses deleted for lack of memory : 0
% 7.59/1.55 % Backward-subsumed : 0
% 7.59/1.55 % Backward-rewritten : 0
% 7.59/1.55 % Generated clauses : 4430
% 7.59/1.55 % ...of the previous two non-redundant : 2405
% 7.59/1.55 % ...aggressively subsumed : 0
% 7.59/1.55 % Contextual simplify-reflections : 0
% 7.59/1.55 % Paramodulations : 4430
% 7.59/1.55 % Factorizations : 0
% 7.59/1.55 % NegExts : 0
% 7.59/1.55 % Equation resolutions : 0
% 7.59/1.55 % Disequality decompositions : 0
% 7.59/1.55 % Total rewrite steps : 2390
% 7.59/1.55 % ...of those cached : 999
% 7.59/1.55 % Propositional unsat checks : 0
% 7.59/1.55 % Propositional check models : 0
% 7.59/1.55 % Propositional check unsatisfiable : 0
% 7.59/1.55 % Propositional clauses : 0
% 7.59/1.55 % Propositional clauses after purity: 0
% 7.59/1.55 % Propositional unsat core size : 0
% 7.59/1.55 % Propositional preprocessing time : 0.000
% 7.59/1.55 % Propositional encoding time : 0.000
% 7.59/1.55 % Propositional solver time : 0.000
% 7.59/1.55 % Success case prop preproc time : 0.000
% 7.59/1.55 % Success case prop encoding time : 0.000
% 7.59/1.55 % Success case prop solver time : 0.000
% 7.59/1.55 % Current number of processed clauses : 1642
% 7.59/1.55 % Positive orientable unit clauses : 1600
% 7.59/1.55 % Positive unorientable unit clauses: 0
% 7.59/1.55 % Negative unit clauses : 1
% 7.59/1.55 % Non-unit-clauses : 41
% 7.59/1.55 % Current number of unprocessed clauses: 439
% 7.59/1.55 % ...number of literals in the above : 439
% 7.59/1.55 % Current number of archived formulas : 0
% 7.59/1.55 % Current number of archived clauses : 43
% 7.59/1.55 % Clause-clause subsumption calls (NU) : 1300
% 7.59/1.55 % Rec. Clause-clause subsumption calls : 1300
% 7.59/1.55 % Non-unit clause-clause subsumptions : 0
% 7.59/1.55 % Unit Clause-clause subsumption calls : 0
% 7.59/1.55 % Rewrite failures with RHS unbound : 0
% 7.59/1.55 % BW rewrite match attempts : 816621
% 7.59/1.55 % BW rewrite match successes : 0
% 7.59/1.55 % Condensation attempts : 0
% 7.59/1.55 % Condensation successes : 0
% 7.59/1.55 % Termbank termtop insertions : 367251
% 7.59/1.55 % Search garbage collected termcells : 85
% 7.59/1.55
% 7.59/1.55 % -------------------------------------------------
% 7.59/1.55 % User time : 0.969 s
% 7.59/1.55 % System time : 0.087 s
% 7.59/1.55 % Total time : 1.055 s
% 7.59/1.55 % Maximum resident set size: 3632 pages
% 7.59/1.55
% 7.59/1.55 % -------------------------------------------------
% 7.59/1.55 % User time : 4.773 s
% 7.59/1.55 % System time : 0.359 s
% 7.59/1.55 % Total time : 5.132 s
% 7.59/1.55 % Maximum resident set size: 4608 pages
% 7.59/1.55 % E exiting
%------------------------------------------------------------------------------