%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO030-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:26:56 PM UTC 2026
% Result : Unsatisfiable 10.65s 2.05s
% Output : CNFRefutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 21 unt; 5 nHn; 34 RR)
% Number of literals : 78 ( 14 equ; 43 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d4_5,axiom,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).
cnf(d4_4,axiom,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
cnf(v_to_w_equals_v_to_w1,hypothesis,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
cnf(outer_five_segment,axiom,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X7,X6,X8)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(u_to_w_equals_u_to_w1,hypothesis,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
cnf(d1,axiom,
equidistant(X1,X2,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(prove_w_is_w1,negated_conjecture,
w != w1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_w1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(c_0_10,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[d4_5]) ).
cnf(c_0_11,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[d4_4]) ).
cnf(c_0_12,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
c_0_10 ).
cnf(c_0_13,hypothesis,
equidistant(v,w,v,w1),
v_to_w_equals_v_to_w1 ).
cnf(c_0_14,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
c_0_11 ).
cnf(c_0_15,hypothesis,
equidistant(w1,v,w,v),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X7,X6,X8)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[outer_five_segment]) ).
cnf(c_0_17,hypothesis,
equidistant(v,w,w1,v),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
equidistant(u,w,u,w1),
u_to_w_equals_u_to_w1 ).
cnf(c_0_19,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X7,X6,X8)
| X1 = X2 ),
c_0_16 ).
cnf(c_0_20,hypothesis,
equidistant(v,w1,v,w),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_21,hypothesis,
equidistant(w1,u,w,u),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_22,hypothesis,
( ~ equidistant(X1,v,X4,v)
| ~ equidistant(X1,w1,X4,w)
| ~ equidistant(v,X2,v,X3)
| ~ between(X1,v,X2)
| ~ between(X4,v,X3)
| equidistant(X2,w1,X3,w)
| X1 = v ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,axiom,
equidistant(X1,X2,X1,X2),
d1 ).
cnf(c_0_24,hypothesis,
equidistant(u,w,w1,u),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_25,hypothesis,
u != v,
inference(fof_simplification,[status(thm)],[u_not_v]) ).
cnf(c_0_26,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_27,hypothesis,
( ~ equidistant(X1,v,X3,v)
| ~ equidistant(X1,w1,X3,w)
| ~ between(X1,v,X2)
| ~ between(X3,v,X2)
| equidistant(X2,w1,X2,w)
| X1 = v ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,hypothesis,
equidistant(u,w1,u,w),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_29,hypothesis,
u != v,
c_0_25 ).
cnf(c_0_30,negated_conjecture,
w != w1,
inference(fof_simplification,[status(thm)],[prove_w_is_w1]) ).
cnf(c_0_31,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
c_0_26 ).
cnf(c_0_32,hypothesis,
( ~ between(u,v,X1)
| equidistant(X1,w1,X1,w) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23])]),c_0_29]) ).
cnf(c_0_33,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_34,negated_conjecture,
w != w1,
c_0_30 ).
cnf(c_0_35,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO030-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 08:23:48 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.65/2.05 % Version: 3.5.1
% 10.65/2.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.65/2.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.65/2.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.65/2.05 % Starting new_bool_3 with 300s (1) cores
% 10.65/2.05 % Starting new_bool_1 with 300s (1) cores
% 10.65/2.05 % Starting sh5l with 300s (1) cores
% 10.65/2.05 % new_bool_3 with pid 798556 completed with status 0
% 10.65/2.05 % Result found by new_bool_3
% 10.65/2.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.65/2.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.65/2.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.65/2.05 % Starting new_bool_3 with 300s (1) cores
% 10.65/2.05 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 10.65/2.05 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.65/2.05 % Search class: FGUSM-FFMS00-SFFFFFNN
% 10.65/2.05 % partial match(2): FGUSM-FFMS33-SFFFFFNN
% 10.65/2.05 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 10.65/2.05 % Starting SubtermCWHack with 31s (1) cores
% 10.65/2.05 % SubtermCWHack with pid 798560 completed with status 0
% 10.65/2.05 % Result found by SubtermCWHack
% 10.65/2.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.65/2.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.65/2.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.65/2.05 % Starting new_bool_3 with 300s (1) cores
% 10.65/2.05 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 10.65/2.05 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 10.65/2.05 % Search class: FGUSM-FFMS00-SFFFFFNN
% 10.65/2.05 % partial match(2): FGUSM-FFMS33-SFFFFFNN
% 10.65/2.05 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 10.65/2.05 % Starting SubtermCWHack with 31s (1) cores
% 10.65/2.05 % Preprocessing time : 0.001 s
% 10.65/2.05
% 10.65/2.05 % Proof found!
% 10.65/2.05 % SZS status Unsatisfiable
% 10.65/2.05 % SZS output start CNFRefutation
% See solution above
% 10.65/2.05 % Parsed axioms : 69
% 10.65/2.05 % Removed by relevancy pruning/SinE : 32
% 10.65/2.05 % Initial clauses : 37
% 10.65/2.05 % Removed in clause preprocessing : 1
% 10.65/2.05 % Initial clauses in saturation : 36
% 10.65/2.05 % Processed clauses : 21220
% 10.65/2.05 % ...of these trivial : 4
% 10.65/2.05 % ...subsumed : 18418
% 10.65/2.05 % ...remaining for further processing : 2798
% 10.65/2.05 % Other redundant clauses eliminated : 1
% 10.65/2.05 % Clauses deleted for lack of memory : 0
% 10.65/2.05 % Backward-subsumed : 44
% 10.65/2.05 % Backward-rewritten : 0
% 10.65/2.05 % Generated clauses : 92821
% 10.65/2.05 % ...of the previous two non-redundant : 65938
% 10.65/2.05 % ...aggressively subsumed : 0
% 10.65/2.05 % Contextual simplify-reflections : 10
% 10.65/2.05 % Paramodulations : 92820
% 10.65/2.05 % Factorizations : 0
% 10.65/2.05 % NegExts : 0
% 10.65/2.05 % Equation resolutions : 1
% 10.65/2.05 % Disequality decompositions : 0
% 10.65/2.05 % Total rewrite steps : 56589
% 10.65/2.05 % ...of those cached : 56457
% 10.65/2.05 % Propositional unsat checks : 0
% 10.65/2.05 % Propositional check models : 0
% 10.65/2.05 % Propositional check unsatisfiable : 0
% 10.65/2.05 % Propositional clauses : 0
% 10.65/2.05 % Propositional clauses after purity: 0
% 10.65/2.05 % Propositional unsat core size : 0
% 10.65/2.05 % Propositional preprocessing time : 0.000
% 10.65/2.05 % Propositional encoding time : 0.000
% 10.65/2.05 % Propositional solver time : 0.000
% 10.65/2.05 % Success case prop preproc time : 0.000
% 10.65/2.05 % Success case prop encoding time : 0.000
% 10.65/2.05 % Success case prop solver time : 0.000
% 10.65/2.05 % Current number of processed clauses : 2753
% 10.65/2.05 % Positive orientable unit clauses : 23
% 10.65/2.05 % Positive unorientable unit clauses: 0
% 10.65/2.05 % Negative unit clauses : 13
% 10.65/2.05 % Non-unit-clauses : 2717
% 10.65/2.05 % Current number of unprocessed clauses: 44336
% 10.65/2.06 % ...number of literals in the above : 268396
% 10.65/2.06 % Current number of archived formulas : 0
% 10.65/2.06 % Current number of archived clauses : 44
% 10.65/2.06 % Clause-clause subsumption calls (NU) : 3055325
% 10.65/2.06 % Rec. Clause-clause subsumption calls : 1367181
% 10.65/2.06 % Non-unit clause-clause subsumptions : 17391
% 10.65/2.06 % Unit Clause-clause subsumption calls : 1506
% 10.65/2.06 % Rewrite failures with RHS unbound : 0
% 10.65/2.06 % BW rewrite match attempts : 20
% 10.65/2.06 % BW rewrite match successes : 0
% 10.65/2.06 % Condensation attempts : 0
% 10.65/2.06 % Condensation successes : 0
% 10.65/2.06 % Termbank termtop insertions : 1707264
% 10.65/2.06 % Search garbage collected termcells : 219
% 10.65/2.06
% 10.65/2.06 % -------------------------------------------------
% 10.65/2.06 % User time : 1.432 s
% 10.65/2.06 % System time : 0.035 s
% 10.65/2.06 % Total time : 1.467 s
% 10.65/2.06 % Maximum resident set size: 3684 pages
% 10.65/2.06
% 10.65/2.06 % -------------------------------------------------
% 10.65/2.06 % User time : 1.436 s
% 10.65/2.06 % System time : 0.038 s
% 10.65/2.06 % Total time : 1.474 s
% 10.65/2.06 % Maximum resident set size: 4864 pages
% 10.65/2.06 % E exiting
%------------------------------------------------------------------------------