%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO033-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 2.25s 0.75s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 22 unt; 0 nHn; 36 RR)
% Number of literals : 80 ( 0 equ; 47 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 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(d8,axiom,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X5,X3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(t1,axiom,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_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(v1_between_u1_and_w1,hypothesis,
between(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_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/sandbox2/benchmark/theBenchmark.p',d12) ).
cnf(w_to_x_equals_w1_to_x1,hypothesis,
equidistant(w,x,w1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).
cnf(prove_v_to_x_equals_v1_to_x1,negated_conjecture,
~ equidistant(v,x,v1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).
cnf(u_to_x_equals_u1_to_x1,hypothesis,
equidistant(u,x,u1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).
cnf(c_0_11,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[d4_5]) ).
cnf(c_0_12,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X5,X3,X6) ),
inference(fof_simplification,[status(thm)],[d8]) ).
cnf(c_0_13,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
c_0_11 ).
cnf(c_0_14,hypothesis,
equidistant(u,v,u1,v1),
u_to_v_equals_u1_to_v1 ).
cnf(c_0_15,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[t1]) ).
cnf(c_0_16,plain,
( ~ between(X3,X4,X6)
| ~ between(X1,X2,X5)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X5,X3,X6) ),
c_0_12 ).
cnf(c_0_17,hypothesis,
equidistant(v1,u1,v,u),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
equidistant(v,w,v1,w1),
v_to_w_equals_v1_to_w1 ).
cnf(c_0_19,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
c_0_15 ).
cnf(c_0_20,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_21,hypothesis,
between(u1,v1,w1),
v1_between_u1_and_w1 ).
cnf(c_0_22,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_23,hypothesis,
( ~ equidistant(X1,v1,X2,v)
| ~ between(X1,v1,u1)
| ~ between(X2,v,u)
| equidistant(X1,u1,X2,u) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,hypothesis,
equidistant(w1,v1,w,v),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_25,hypothesis,
between(w,v,u),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,hypothesis,
between(w1,v1,u1),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_27,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_22 ).
cnf(c_0_28,hypothesis,
equidistant(w,x,w1,x1),
w_to_x_equals_w1_to_x1 ).
cnf(c_0_29,hypothesis,
equidistant(w1,u1,w,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_30,negated_conjecture,
~ equidistant(v,x,v1,x1),
inference(fof_simplification,[status(thm)],[prove_v_to_x_equals_v1_to_x1]) ).
cnf(c_0_31,hypothesis,
( ~ equidistant(X4,X1,X3,X2)
| ~ equidistant(X4,w,X3,w1)
| ~ equidistant(X4,x,X3,x1)
| ~ between(X4,X1,w)
| ~ between(X3,X2,w1)
| equidistant(X1,x,X2,x1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,hypothesis,
equidistant(u,x,u1,x1),
u_to_x_equals_u1_to_x1 ).
cnf(c_0_33,hypothesis,
equidistant(u,w,u1,w1),
inference(spm,[status(thm)],[c_0_13,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
~ equidistant(v,x,v1,x1),
c_0_30 ).
cnf(c_0_35,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_14]),c_0_21]),c_0_20]),c_0_32]),c_0_33])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO033-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n016.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 08:35:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 2.25/0.75 % Version: 3.5.1
% 2.25/0.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.25/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.25/0.75 % Starting new_bool_3 with 300s (1) cores
% 2.25/0.75 % Starting new_bool_1 with 300s (1) cores
% 2.25/0.75 % Starting sh5l with 300s (1) cores
% 2.25/0.75 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4104972 completed with status 0
% 2.25/0.75 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.25/0.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.25/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.25/0.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.25/0.75 % No SInE strategy applied
% 2.25/0.75 % Search class: FGUSM-FFMM33-SFFFFFNN
% 2.25/0.75 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.75 % Starting SubtermCWHack with 136s (1) cores
% 2.25/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.25/0.75 % Starting new_bool_3 with 309s (1) cores
% 2.25/0.75 % Starting new_bool_1 with 307s (1) cores
% 2.25/0.75 % Starting sh5l with 304s (1) cores
% 2.25/0.75 % new_bool_3 with pid 4104980 completed with status 0
% 2.25/0.75 % Result found by new_bool_3
% 2.25/0.75 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.25/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.25/0.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.25/0.75 % No SInE strategy applied
% 2.25/0.75 % Search class: FGUSM-FFMM33-SFFFFFNN
% 2.25/0.75 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.75 % Starting SubtermCWHack with 136s (1) cores
% 2.25/0.75 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.25/0.75 % Starting new_bool_3 with 309s (1) cores
% 2.25/0.75 % Preprocessing time : 0.002 s
% 2.25/0.75 % Presaturation interreduction done
% 2.25/0.75
% 2.25/0.75 % Proof found!
% 2.25/0.75 % SZS status Unsatisfiable
% 2.25/0.75 % SZS output start CNFRefutation
% See solution above
% 2.25/0.75 % Parsed axioms : 74
% 2.25/0.75 % Removed by relevancy pruning/SinE : 0
% 2.25/0.75 % Initial clauses : 74
% 2.25/0.75 % Removed in clause preprocessing : 2
% 2.25/0.75 % Initial clauses in saturation : 72
% 2.25/0.75 % Processed clauses : 2085
% 2.25/0.75 % ...of these trivial : 204
% 2.25/0.75 % ...subsumed : 817
% 2.25/0.75 % ...remaining for further processing : 1064
% 2.25/0.75 % Other redundant clauses eliminated : 5
% 2.25/0.75 % Clauses deleted for lack of memory : 0
% 2.25/0.75 % Backward-subsumed : 20
% 2.25/0.75 % Backward-rewritten : 21
% 2.25/0.75 % Generated clauses : 16244
% 2.25/0.75 % ...of the previous two non-redundant : 13055
% 2.25/0.75 % ...aggressively subsumed : 0
% 2.25/0.75 % Contextual simplify-reflections : 0
% 2.25/0.75 % Paramodulations : 16239
% 2.25/0.75 % Factorizations : 0
% 2.25/0.75 % NegExts : 0
% 2.25/0.75 % Equation resolutions : 5
% 2.25/0.75 % Disequality decompositions : 0
% 2.25/0.75 % Total rewrite steps : 4164
% 2.25/0.75 % ...of those cached : 3394
% 2.25/0.75 % Propositional unsat checks : 0
% 2.25/0.75 % Propositional check models : 0
% 2.25/0.75 % Propositional check unsatisfiable : 0
% 2.25/0.75 % Propositional clauses : 0
% 2.25/0.75 % Propositional clauses after purity: 0
% 2.25/0.75 % Propositional unsat core size : 0
% 2.25/0.75 % Propositional preprocessing time : 0.000
% 2.25/0.75 % Propositional encoding time : 0.000
% 2.25/0.75 % Propositional solver time : 0.000
% 2.25/0.75 % Success case prop preproc time : 0.000
% 2.25/0.75 % Success case prop encoding time : 0.000
% 2.25/0.75 % Success case prop solver time : 0.000
% 2.25/0.75 % Current number of processed clauses : 957
% 2.25/0.75 % Positive orientable unit clauses : 167
% 2.25/0.75 % Positive unorientable unit clauses: 0
% 2.25/0.75 % Negative unit clauses : 20
% 2.25/0.75 % Non-unit-clauses : 770
% 2.25/0.75 % Current number of unprocessed clauses: 10962
% 2.25/0.75 % ...number of literals in the above : 29474
% 2.25/0.75 % Current number of archived formulas : 0
% 2.25/0.75 % Current number of archived clauses : 105
% 2.25/0.75 % Clause-clause subsumption calls (NU) : 143483
% 2.25/0.75 % Rec. Clause-clause subsumption calls : 111271
% 2.25/0.75 % Non-unit clause-clause subsumptions : 794
% 2.25/0.75 % Unit Clause-clause subsumption calls : 1861
% 2.25/0.75 % Rewrite failures with RHS unbound : 0
% 2.25/0.75 % BW rewrite match attempts : 2393
% 2.25/0.75 % BW rewrite match successes : 20
% 2.25/0.75 % Condensation attempts : 0
% 2.25/0.75 % Condensation successes : 0
% 2.25/0.75 % Termbank termtop insertions : 264525
% 2.25/0.75 % Search garbage collected termcells : 167
% 2.25/0.75
% 2.25/0.75 % -------------------------------------------------
% 2.25/0.75 % User time : 0.304 s
% 2.25/0.75 % System time : 0.023 s
% 2.25/0.75 % Total time : 0.327 s
% 2.25/0.75 % Maximum resident set size: 3692 pages
% 2.25/0.75
% 2.25/0.75 % -------------------------------------------------
% 2.25/0.75 % User time : 1.414 s
% 2.25/0.75 % System time : 0.069 s
% 2.25/0.75 % Total time : 1.483 s
% 2.25/0.75 % Maximum resident set size: 4864 pages
% 2.25/0.75 % E exiting
%------------------------------------------------------------------------------