%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO048-2 : 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 : 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 12:27:00 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.64s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 18 unt; 0 nHn; 30 RR)
% Number of literals : 62 ( 8 equ; 32 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 76 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(inner_pasch2,axiom,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(inner_pasch1,axiom,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
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_conclusion2,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_conclusion2) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(v1_between_u1_and_w,hypothesis,
between(u1,v1,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(x_between_u_and_u1,hypothesis,
between(u,x,u1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_between_u_and_u1) ).
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,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_betweeness]) ).
cnf(c_0_11,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
inference(fof_simplification,[status(thm)],[inner_pasch2]) ).
cnf(c_0_12,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
inference(fof_simplification,[status(thm)],[inner_pasch1]) ).
cnf(c_0_13,plain,
( ~ between(X1,X2,X1)
| X1 = X2 ),
c_0_10 ).
cnf(c_0_14,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
c_0_11 ).
cnf(c_0_15,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[identity_for_equidistance]) ).
cnf(c_0_16,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(fof_simplification,[status(thm)],[prove_conclusion2]) ).
cnf(c_0_17,plain,
( ~ between(X4,X5,X3)
| ~ between(X1,X2,X3)
| between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
c_0_12 ).
cnf(c_0_18,plain,
( ~ between(X1,X2,X3)
| ~ between(X4,X1,X3)
| inner_pasch(X1,X2,X3,X1,X4) = X1 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
c_0_15 ).
cnf(c_0_20,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_21,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
c_0_16 ).
cnf(c_0_22,plain,
( ~ between(X2,X1,X4)
| ~ between(X3,X2,X4)
| between(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,hypothesis,
between(u1,v1,w),
v1_between_u1_and_w ).
cnf(c_0_24,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_25,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( ~ between(w,v,u)
| ~ between(v1,inner_pasch(u,x,u1,v1,w),u) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_27,hypothesis,
between(u,x,u1),
x_between_u_and_u1 ).
cnf(c_0_28,hypothesis,
( ~ between(v1,X1,w)
| between(X1,v1,u1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_31,negated_conjecture,
( ~ between(w,v1,u1)
| ~ between(w,v,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_27])]) ).
cnf(c_0_32,hypothesis,
between(w,v1,u1),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
( ~ between(v,X1,w)
| between(X1,v,u) ),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
~ between(w,v,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
cnf(c_0_35,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO048-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.57 % Computer : n020.cluster.edu
% 0.11/5.57 % Model : x86_64 x86_64
% 0.11/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.57 % Memory : 8046.5625MB
% 0.11/5.57 % OS : Linux 6.8.0-71-generic
% 0.11/5.57 % CPULimit : 300
% 0.11/5.57 % WCLimit : 300
% 0.11/5.57 % DateTime : Sun Sep 20 08:40:52 UTC 2026
% 0.11/5.57 % CPUTime :
% 0.11/5.57 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.62 Running first-order theorem proving
% 0.14/5.62 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
% 0.14/5.64 % Version: 3.5.1
% 0.14/5.64 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/5.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/5.64 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.64 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.64 % Starting sh5l with 300s (1) cores
% 0.14/5.64 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 272467 completed with status 0
% 0.14/5.64 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.14/5.64 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/5.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/5.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.64 % No SInE strategy applied
% 0.14/5.64 % Search class: FGUSS-FFMS33-SFFFFFNN
% 0.14/5.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.64 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/5.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S0Y with 193s (1) cores
% 0.14/5.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with 161s (1) cores
% 0.14/5.64 % Starting new_bool_3 with 161s (1) cores
% 0.14/5.64 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with pid 272476 completed with status 0
% 0.14/5.64 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 0.14/5.64 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/5.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/5.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.64 % No SInE strategy applied
% 0.14/5.64 % Search class: FGUSS-FFMS33-SFFFFFNN
% 0.14/5.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.64 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/5.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S0Y with 193s (1) cores
% 0.14/5.64 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S0Y with 161s (1) cores
% 0.14/5.64 % Preprocessing time : 0.002 s
% 0.14/5.64 % Presaturation interreduction done
% 0.14/5.64
% 0.14/5.64 % Proof found!
% 0.14/5.64 % SZS status Unsatisfiable
% 0.14/5.64 % SZS output start CNFRefutation
% See solution above
% 0.14/5.64 % Parsed axioms : 23
% 0.14/5.64 % Removed by relevancy pruning/SinE : 0
% 0.14/5.64 % Initial clauses : 23
% 0.14/5.64 % Removed in clause preprocessing : 0
% 0.14/5.64 % Initial clauses in saturation : 23
% 0.14/5.64 % Processed clauses : 64
% 0.14/5.64 % ...of these trivial : 1
% 0.14/5.64 % ...subsumed : 0
% 0.14/5.64 % ...remaining for further processing : 63
% 0.14/5.64 % Other redundant clauses eliminated : 0
% 0.14/5.64 % Clauses deleted for lack of memory : 0
% 0.14/5.64 % Backward-subsumed : 1
% 0.14/5.64 % Backward-rewritten : 1
% 0.14/5.64 % Generated clauses : 61
% 0.14/5.64 % ...of the previous two non-redundant : 53
% 0.14/5.64 % ...aggressively subsumed : 0
% 0.14/5.64 % Contextual simplify-reflections : 0
% 0.14/5.64 % Paramodulations : 61
% 0.14/5.64 % Factorizations : 0
% 0.14/5.64 % NegExts : 0
% 0.14/5.64 % Equation resolutions : 0
% 0.14/5.64 % Disequality decompositions : 0
% 0.14/5.64 % Total rewrite steps : 11
% 0.14/5.64 % ...of those cached : 5
% 0.14/5.64 % Propositional unsat checks : 0
% 0.14/5.64 % Propositional check models : 0
% 0.14/5.64 % Propositional check unsatisfiable : 0
% 0.14/5.64 % Propositional clauses : 0
% 0.14/5.64 % Propositional clauses after purity: 0
% 0.14/5.64 % Propositional unsat core size : 0
% 0.14/5.64 % Propositional preprocessing time : 0.000
% 0.14/5.64 % Propositional encoding time : 0.000
% 0.14/5.64 % Propositional solver time : 0.000
% 0.14/5.64 % Success case prop preproc time : 0.000
% 0.14/5.64 % Success case prop encoding time : 0.000
% 0.14/5.64 % Success case prop solver time : 0.000
% 0.14/5.64 % Current number of processed clauses : 38
% 0.14/5.64 % Positive orientable unit clauses : 12
% 0.14/5.64 % Positive unorientable unit clauses: 0
% 0.14/5.64 % Negative unit clauses : 6
% 0.14/5.64 % Non-unit-clauses : 20
% 0.14/5.64 % Current number of unprocessed clauses: 33
% 0.14/5.64 % ...number of literals in the above : 149
% 0.14/5.64 % Current number of archived formulas : 0
% 0.14/5.64 % Current number of archived clauses : 25
% 0.14/5.64 % Clause-clause subsumption calls (NU) : 295
% 0.14/5.64 % Rec. Clause-clause subsumption calls : 117
% 0.14/5.64 % Non-unit clause-clause subsumptions : 0
% 0.14/5.64 % Unit Clause-clause subsumption calls : 36
% 0.14/5.64 % Rewrite failures with RHS unbound : 0
% 0.14/5.64 % BW rewrite match attempts : 97
% 0.14/5.64 % BW rewrite match successes : 1
% 0.14/5.64 % Condensation attempts : 0
% 0.14/5.64 % Condensation successes : 0
% 0.14/5.64 % Termbank termtop insertions : 1647
% 0.14/5.64 % Search garbage collected termcells : 77
% 0.14/5.64
% 0.14/5.64 % -------------------------------------------------
% 0.14/5.64 % User time : 0.005 s
% 0.14/5.64 % System time : 0.005 s
% 0.14/5.64 % Total time : 0.011 s
% 0.14/5.64 % Maximum resident set size: 3656 pages
% 0.14/5.64
% 0.14/5.64 % -------------------------------------------------
% 0.14/5.64 % User time : 0.032 s
% 0.14/5.64 % System time : 0.019 s
% 0.14/5.64 % Total time : 0.050 s
% 0.14/5.64 % Maximum resident set size: 4608 pages
% 0.14/5.64 % E exiting
%------------------------------------------------------------------------------