%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:09:36 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.56s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 13 unt; 0 nHn; 35 RR)
% Number of literals : 73 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 53 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(diamond_strip_lemmaD_2h6,hypothesis,
( ~ member(pair(x,X1),r)
| member(pair(y,sk2(X1)),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).
cnf(diamond_strip_lemmaD_2h2,hypothesis,
( ~ member(pair(X1,X3),r)
| ~ member(pair(X1,X2),r)
| member(pair(X3,sk1(X1,X2,X3)),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).
cnf(diamond_strip_lemmaD_2c1,negated_conjecture,
member(pair(x,sk3),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).
cnf(diamond_strip_lemmaD_2h1,hypothesis,
( ~ member(pair(X1,X3),r)
| ~ member(pair(X1,X2),r)
| member(pair(X2,sk1(X1,X2,X3)),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).
cnf(r_into_trancl,axiom,
( ~ member(pair(X1,X2),X3)
| member(pair(X1,X2),trancl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).
cnf(diamond_strip_lemmaD_2h4,hypothesis,
member(pair(y,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).
cnf(transD,axiom,
( ~ member(pair(X3,X4),X1)
| ~ member(pair(X2,X3),X1)
| ~ trans(X1)
| member(pair(X2,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
cnf(diamond_strip_lemmaD_2h5,hypothesis,
( ~ member(pair(x,X1),r)
| member(pair(X1,sk2(X1)),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).
cnf(diamond_strip_lemmaD_2c2,negated_conjecture,
( ~ member(pair(z,X1),r)
| ~ member(pair(sk3,X1),trancl(r)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).
cnf(trans_trancl,axiom,
trans(trancl(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).
cnf(c_0_10,hypothesis,
( ~ member(pair(x,X1),r)
| member(pair(y,sk2(X1)),r) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD_2h6]) ).
cnf(c_0_11,hypothesis,
( ~ member(pair(X1,X3),r)
| ~ member(pair(X1,X2),r)
| member(pair(X3,sk1(X1,X2,X3)),r) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD_2h2]) ).
cnf(c_0_12,hypothesis,
( ~ member(pair(x,X1),r)
| member(pair(y,sk2(X1)),r) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
member(pair(x,sk3),r),
diamond_strip_lemmaD_2c1 ).
cnf(c_0_14,hypothesis,
( ~ member(pair(X1,X3),r)
| ~ member(pair(X1,X2),r)
| member(pair(X3,sk1(X1,X2,X3)),r) ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
member(pair(y,sk2(sk3)),r),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
( ~ member(pair(X1,X3),r)
| ~ member(pair(X1,X2),r)
| member(pair(X2,sk1(X1,X2,X3)),r) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD_2h1]) ).
cnf(c_0_17,plain,
( ~ member(pair(X1,X2),X3)
| member(pair(X1,X2),trancl(X3)) ),
inference(fof_simplification,[status(thm)],[r_into_trancl]) ).
cnf(c_0_18,negated_conjecture,
( ~ member(pair(y,X1),r)
| member(pair(sk2(sk3),sk1(y,X1,sk2(sk3))),r) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
member(pair(y,z),r),
diamond_strip_lemmaD_2h4 ).
cnf(c_0_20,hypothesis,
( ~ member(pair(X1,X3),r)
| ~ member(pair(X1,X2),r)
| member(pair(X2,sk1(X1,X2,X3)),r) ),
c_0_16 ).
cnf(c_0_21,plain,
( ~ member(pair(X3,X4),X1)
| ~ member(pair(X2,X3),X1)
| ~ trans(X1)
| member(pair(X2,X4),X1) ),
inference(fof_simplification,[status(thm)],[transD]) ).
cnf(c_0_22,plain,
( ~ member(pair(X1,X2),X3)
| member(pair(X1,X2),trancl(X3)) ),
c_0_17 ).
cnf(c_0_23,hypothesis,
member(pair(sk2(sk3),sk1(y,z,sk2(sk3))),r),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,hypothesis,
( ~ member(pair(x,X1),r)
| member(pair(X1,sk2(X1)),trancl(r)) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD_2h5]) ).
cnf(c_0_25,negated_conjecture,
( ~ member(pair(z,X1),r)
| ~ member(pair(sk3,X1),trancl(r)) ),
inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD_2c2]) ).
cnf(c_0_26,negated_conjecture,
( ~ member(pair(y,X1),r)
| member(pair(X1,sk1(y,X1,sk2(sk3))),r) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_27,plain,
( ~ member(pair(X3,X4),X1)
| ~ member(pair(X2,X3),X1)
| ~ trans(X1)
| member(pair(X2,X4),X1) ),
c_0_21 ).
cnf(c_0_28,hypothesis,
member(pair(sk2(sk3),sk1(y,z,sk2(sk3))),trancl(r)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,axiom,
trans(trancl(X1)),
trans_trancl ).
cnf(c_0_30,hypothesis,
( ~ member(pair(x,X1),r)
| member(pair(X1,sk2(X1)),trancl(r)) ),
c_0_24 ).
cnf(c_0_31,negated_conjecture,
( ~ member(pair(z,X1),r)
| ~ member(pair(sk3,X1),trancl(r)) ),
c_0_25 ).
cnf(c_0_32,hypothesis,
member(pair(z,sk1(y,z,sk2(sk3))),r),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_33,hypothesis,
( ~ member(pair(X1,sk2(sk3)),trancl(r))
| member(pair(X1,sk1(y,z,sk2(sk3))),trancl(r)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_34,negated_conjecture,
member(pair(sk3,sk2(sk3)),trancl(r)),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_35,negated_conjecture,
~ member(pair(sk3,sk1(y,z,sk2(sk3))),trancl(r)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 14:11:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 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
% 0.22/0.56 % Version: 3.5.1
% 0.22/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.56 % Starting sh5l with 300s (1) cores
% 0.22/0.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3137918 completed with status 0
% 0.22/0.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.56 % No SInE strategy applied
% 0.22/0.56 % Search class: FHHSF-FFSS31-SFFFFFNN
% 0.22/0.56 % partial match(1): FHHSF-FFSS21-SFFFFFNN
% 0.22/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.56 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.22/0.56 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.56 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.56 % new_bool_3 with pid 3137928 completed with status 0
% 0.22/0.56 % Result found by new_bool_3
% 0.22/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.56 % No SInE strategy applied
% 0.22/0.56 % Search class: FHHSF-FFSS31-SFFFFFNN
% 0.22/0.56 % partial match(1): FHHSF-FFSS21-SFFFFFNN
% 0.22/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.56 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.22/0.56 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.56 % Preprocessing time : 0.002 s
% 0.22/0.56 % Presaturation interreduction done
% 0.22/0.56
% 0.22/0.56 % Proof found!
% 0.22/0.56 % SZS status Unsatisfiable
% 0.22/0.56 % SZS output start CNFRefutation
% See solution above
% 0.22/0.56 % Parsed axioms : 17
% 0.22/0.56 % Removed by relevancy pruning/SinE : 0
% 0.22/0.56 % Initial clauses : 17
% 0.22/0.56 % Removed in clause preprocessing : 1
% 0.22/0.56 % Initial clauses in saturation : 16
% 0.22/0.56 % Processed clauses : 261
% 0.22/0.56 % ...of these trivial : 5
% 0.22/0.56 % ...subsumed : 0
% 0.22/0.56 % ...remaining for further processing : 256
% 0.22/0.56 % Other redundant clauses eliminated : 0
% 0.22/0.56 % Clauses deleted for lack of memory : 0
% 0.22/0.56 % Backward-subsumed : 0
% 0.22/0.56 % Backward-rewritten : 0
% 0.22/0.56 % Generated clauses : 361
% 0.22/0.56 % ...of the previous two non-redundant : 335
% 0.22/0.56 % ...aggressively subsumed : 0
% 0.22/0.56 % Contextual simplify-reflections : 0
% 0.22/0.56 % Paramodulations : 359
% 0.22/0.56 % Factorizations : 0
% 0.22/0.56 % NegExts : 0
% 0.22/0.56 % Equation resolutions : 2
% 0.22/0.56 % Disequality decompositions : 0
% 0.22/0.56 % Total rewrite steps : 154
% 0.22/0.56 % ...of those cached : 113
% 0.22/0.56 % Propositional unsat checks : 0
% 0.22/0.56 % Propositional check models : 0
% 0.22/0.56 % Propositional check unsatisfiable : 0
% 0.22/0.56 % Propositional clauses : 0
% 0.22/0.56 % Propositional clauses after purity: 0
% 0.22/0.56 % Propositional unsat core size : 0
% 0.22/0.56 % Propositional preprocessing time : 0.000
% 0.22/0.56 % Propositional encoding time : 0.000
% 0.22/0.56 % Propositional solver time : 0.000
% 0.22/0.56 % Success case prop preproc time : 0.000
% 0.22/0.56 % Success case prop encoding time : 0.000
% 0.22/0.56 % Success case prop solver time : 0.000
% 0.22/0.56 % Current number of processed clauses : 240
% 0.22/0.56 % Positive orientable unit clauses : 139
% 0.22/0.56 % Positive unorientable unit clauses: 0
% 0.22/0.56 % Negative unit clauses : 6
% 0.22/0.56 % Non-unit-clauses : 95
% 0.22/0.56 % Current number of unprocessed clauses: 106
% 0.22/0.56 % ...number of literals in the above : 178
% 0.22/0.56 % Current number of archived formulas : 0
% 0.22/0.56 % Current number of archived clauses : 16
% 0.22/0.56 % Clause-clause subsumption calls (NU) : 1273
% 0.22/0.56 % Rec. Clause-clause subsumption calls : 1251
% 0.22/0.56 % Non-unit clause-clause subsumptions : 0
% 0.22/0.56 % Unit Clause-clause subsumption calls : 60
% 0.22/0.56 % Rewrite failures with RHS unbound : 0
% 0.22/0.56 % BW rewrite match attempts : 649
% 0.22/0.56 % BW rewrite match successes : 0
% 0.22/0.56 % Condensation attempts : 0
% 0.22/0.56 % Condensation successes : 0
% 0.22/0.56 % Termbank termtop insertions : 10673
% 0.22/0.56 % Search garbage collected termcells : 45
% 0.22/0.56
% 0.22/0.56 % -------------------------------------------------
% 0.22/0.56 % User time : 0.031 s
% 0.22/0.56 % System time : 0.007 s
% 0.22/0.56 % Total time : 0.039 s
% 0.22/0.56 % Maximum resident set size: 3644 pages
% 0.22/0.56
% 0.22/0.56 % -------------------------------------------------
% 0.22/0.56 % User time : 0.106 s
% 0.22/0.56 % System time : 0.024 s
% 0.22/0.56 % Total time : 0.130 s
% 0.22/0.56 % Maximum resident set size: 4864 pages
% 0.22/0.56 % E exiting
%------------------------------------------------------------------------------