%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO032-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:26:57 PM UTC 2026
% Result : Unsatisfiable 9.59s 1.82s
% Output : CNFRefutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 21 unt; 0 nHn; 33 RR)
% Number of literals : 69 ( 0 equ; 37 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d4_5,axiom,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_5) ).
cnf(d4_4,axiom,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).
cnf(u_to_w_equals_u1_to_w1,hypothesis,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
cnf(d12,axiom,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X7,X4,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(d7,axiom,
equidistant(X1,X1,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
cnf(d2,axiom,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(v1_between_u1_and_w1,hypothesis,
between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
cnf(v_to_w_equals_v1_to_w1,negated_conjecture,
~ equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
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(u,w,u1,w1),
u_to_w_equals_u1_to_w1 ).
cnf(c_0_14,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X7,X4,X8) ),
inference(fof_simplification,[status(thm)],[d12]) ).
cnf(c_0_15,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
c_0_11 ).
cnf(c_0_16,hypothesis,
equidistant(w1,u1,w,u),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
equidistant(u,v,u1,v1),
u_to_v_equals_u1_to_v1 ).
cnf(c_0_18,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X7,X4,X8) ),
c_0_14 ).
cnf(c_0_19,axiom,
equidistant(X1,X1,X2,X2),
d7 ).
cnf(c_0_20,hypothesis,
equidistant(u,w,w1,u1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,hypothesis,
equidistant(v1,u1,v,u),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_22,plain,
( ~ equidistant(X6,X1,X5,X3)
| ~ equidistant(X6,X2,X5,X4)
| ~ between(X6,X1,X2)
| ~ between(X5,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,hypothesis,
equidistant(u1,w1,u,w),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_24,hypothesis,
equidistant(u,v,v1,u1),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_25,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(fof_simplification,[status(thm)],[d2]) ).
cnf(c_0_26,hypothesis,
( ~ equidistant(u1,X1,u,X2)
| ~ between(u1,X1,w1)
| ~ between(u,X2,w)
| equidistant(X1,w1,X2,w) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,hypothesis,
equidistant(u1,v1,u,v),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_28,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_29,hypothesis,
between(u1,v1,w1),
v1_between_u1_and_w1 ).
cnf(c_0_30,negated_conjecture,
~ equidistant(v,w,v1,w1),
inference(fof_simplification,[status(thm)],[v_to_w_equals_v1_to_w1]) ).
cnf(c_0_31,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
c_0_25 ).
cnf(c_0_32,hypothesis,
equidistant(v1,w1,v,w),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]) ).
cnf(c_0_33,negated_conjecture,
~ equidistant(v,w,v1,w1),
c_0_30 ).
cnf(c_0_34,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO032-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 08:30:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 9.59/1.82 % Version: 3.5.1
% 9.59/1.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.59/1.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.59/1.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.59/1.82 % Starting new_bool_3 with 300s (1) cores
% 9.59/1.82 % Starting new_bool_1 with 300s (1) cores
% 9.59/1.82 % Starting sh5l with 300s (1) cores
% 9.59/1.82 % new_bool_1 with pid 708358 completed with status 0
% 9.59/1.82 % Result found by new_bool_1
% 9.59/1.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.59/1.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.59/1.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.59/1.82 % Starting new_bool_3 with 300s (1) cores
% 9.59/1.82 % Starting new_bool_1 with 300s (1) cores
% 9.59/1.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 9.59/1.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.59/1.82 % Search class: FGUSM-FFMS00-SFFFFFNN
% 9.59/1.82 % partial match(2): FGUSM-FFMS33-SFFFFFNN
% 9.59/1.82 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 9.59/1.82 % Starting SubtermCWHack with 31s (1) cores
% 9.59/1.82 % SubtermCWHack with pid 708363 completed with status 0
% 9.59/1.82 % Result found by SubtermCWHack
% 9.59/1.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 9.59/1.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.59/1.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.59/1.82 % Starting new_bool_3 with 300s (1) cores
% 9.59/1.82 % Starting new_bool_1 with 300s (1) cores
% 9.59/1.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 9.59/1.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.59/1.82 % Search class: FGUSM-FFMS00-SFFFFFNN
% 9.59/1.82 % partial match(2): FGUSM-FFMS33-SFFFFFNN
% 9.59/1.82 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 9.59/1.82 % Starting SubtermCWHack with 31s (1) cores
% 9.59/1.82 % Preprocessing time : 0.002 s
% 9.59/1.82
% 9.59/1.82 % Proof found!
% 9.59/1.82 % SZS status Unsatisfiable
% 9.59/1.82 % SZS output start CNFRefutation
% See solution above
% 9.59/1.82 % Parsed axioms : 71
% 9.59/1.82 % Removed by relevancy pruning/SinE : 32
% 9.59/1.82 % Initial clauses : 39
% 9.59/1.82 % Removed in clause preprocessing : 1
% 9.59/1.82 % Initial clauses in saturation : 38
% 9.59/1.82 % Processed clauses : 12794
% 9.59/1.82 % ...of these trivial : 4
% 9.59/1.82 % ...subsumed : 10045
% 9.59/1.82 % ...remaining for further processing : 2745
% 9.59/1.82 % Other redundant clauses eliminated : 1
% 9.59/1.82 % Clauses deleted for lack of memory : 0
% 9.59/1.82 % Backward-subsumed : 66
% 9.59/1.82 % Backward-rewritten : 0
% 9.59/1.82 % Generated clauses : 46713
% 9.59/1.82 % ...of the previous two non-redundant : 34431
% 9.59/1.82 % ...aggressively subsumed : 0
% 9.59/1.82 % Contextual simplify-reflections : 51
% 9.59/1.82 % Paramodulations : 46712
% 9.59/1.82 % Factorizations : 0
% 9.59/1.82 % NegExts : 0
% 9.59/1.82 % Equation resolutions : 1
% 9.59/1.82 % Disequality decompositions : 0
% 9.59/1.82 % Total rewrite steps : 22597
% 9.59/1.82 % ...of those cached : 22406
% 9.59/1.82 % Propositional unsat checks : 0
% 9.59/1.82 % Propositional check models : 0
% 9.59/1.82 % Propositional check unsatisfiable : 0
% 9.59/1.82 % Propositional clauses : 0
% 9.59/1.82 % Propositional clauses after purity: 0
% 9.59/1.82 % Propositional unsat core size : 0
% 9.59/1.82 % Propositional preprocessing time : 0.000
% 9.59/1.82 % Propositional encoding time : 0.000
% 9.59/1.82 % Propositional solver time : 0.000
% 9.59/1.82 % Success case prop preproc time : 0.000
% 9.59/1.82 % Success case prop encoding time : 0.000
% 9.59/1.82 % Success case prop solver time : 0.000
% 9.59/1.82 % Current number of processed clauses : 2678
% 9.59/1.82 % Positive orientable unit clauses : 26
% 9.59/1.82 % Positive unorientable unit clauses: 0
% 9.59/1.82 % Negative unit clauses : 1
% 9.59/1.82 % Non-unit-clauses : 2651
% 9.59/1.82 % Current number of unprocessed clauses: 21521
% 9.59/1.82 % ...number of literals in the above : 127904
% 9.59/1.82 % Current number of archived formulas : 0
% 9.59/1.82 % Current number of archived clauses : 66
% 9.59/1.82 % Clause-clause subsumption calls (NU) : 1726976
% 9.59/1.82 % Rec. Clause-clause subsumption calls : 1087718
% 9.59/1.82 % Non-unit clause-clause subsumptions : 10162
% 9.59/1.82 % Unit Clause-clause subsumption calls : 2
% 9.59/1.82 % Rewrite failures with RHS unbound : 0
% 9.59/1.82 % BW rewrite match attempts : 32
% 9.59/1.82 % BW rewrite match successes : 0
% 9.59/1.82 % Condensation attempts : 0
% 9.59/1.82 % Condensation successes : 0
% 9.59/1.82 % Termbank termtop insertions : 927617
% 9.59/1.82 % Search garbage collected termcells : 228
% 9.59/1.82
% 9.59/1.82 % -------------------------------------------------
% 9.59/1.82 % User time : 1.341 s
% 9.59/1.82 % System time : 0.019 s
% 9.59/1.82 % Total time : 1.360 s
% 9.59/1.82 % Maximum resident set size: 3688 pages
% 9.59/1.82
% 9.59/1.82 % -------------------------------------------------
% 9.59/1.82 % User time : 1.342 s
% 9.59/1.82 % System time : 0.025 s
% 9.59/1.82 % Total time : 1.368 s
% 9.59/1.82 % Maximum resident set size: 4864 pages
% 9.59/1.82 % E exiting
%------------------------------------------------------------------------------