TSTP Solution File: GEO035-2 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GEO035-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:07:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO035-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jun 18 02:06:53 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.36 # No SInE strategy applied
% 0.19/0.36 # Auto-Mode selected heuristic G_E___107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S
% 0.19/0.36 # and selection function SelectNewComplexAHPNS.
% 0.19/0.36 #
% 0.19/0.36 # Presaturation interreduction done
% 0.19/0.36 # Number of axioms: 19 Number of unprocessed: 19
% 0.19/0.36 # Tableaux proof search.
% 0.19/0.36 # APR header successfully linked.
% 0.19/0.36 # Hello from C++
% 0.19/0.37 # The folding up rule is enabled...
% 0.19/0.37 # Local unification is enabled...
% 0.19/0.37 # Any saturation attempts will use folding labels...
% 0.19/0.37 # 19 beginning clauses after preprocessing and clausification
% 0.19/0.37 # Creating start rules for all 1 conjectures.
% 0.19/0.37 # There are 1 start rule candidates:
% 0.19/0.37 # Found 7 unit axioms.
% 0.19/0.37 # 1 start rule tableaux created.
% 0.19/0.37 # 12 extension rule candidate clauses
% 0.19/0.37 # 7 unit axiom clauses
% 0.19/0.37
% 0.19/0.37 # Requested 8, 32 cores available to the main process.
% 0.19/0.37 # There are not enough tableaux to fork, creating more from the initial 1
% 0.19/0.37 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.37 # We now have 12 tableaux to operate on
% 0.19/0.37 # There were 1 total branch saturation attempts.
% 0.19/0.37 # There were 0 of these attempts blocked.
% 0.19/0.37 # There were 0 deferred branch saturation attempts.
% 0.19/0.37 # There were 0 free duplicated saturations.
% 0.19/0.37 # There were 1 total successful branch saturations.
% 0.19/0.37 # There were 0 successful branch saturations in interreduction.
% 0.19/0.37 # There were 0 successful branch saturations on the branch.
% 0.19/0.37 # There were 1 successful branch saturations after the branch.
% 0.19/0.37 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 # Begin clausification derivation
% 0.19/0.37
% 0.19/0.37 # End clausification derivation
% 0.19/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37 cnf(i_0_20, plain, (equidistant(X1,X2,X2,X1))).
% 0.19/0.37 cnf(i_0_23, plain, (between(X1,X2,extension(X1,X2,X3,X4)))).
% 0.19/0.37 cnf(i_0_24, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))).
% 0.19/0.37 cnf(i_0_38, negated_conjecture, (extension(u,v,w,w)!=v)).
% 0.19/0.37 cnf(i_0_29, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))).
% 0.19/0.37 cnf(i_0_30, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))).
% 0.19/0.37 cnf(i_0_31, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))).
% 0.19/0.37 cnf(i_0_26, plain, (X1=X2|~between(X1,X2,X1))).
% 0.19/0.37 cnf(i_0_22, plain, (X1=X2|~equidistant(X1,X2,X3,X3))).
% 0.19/0.37 cnf(i_0_28, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))).
% 0.19/0.37 cnf(i_0_21, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))).
% 0.19/0.37 cnf(i_0_27, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))).
% 0.19/0.37 cnf(i_0_34, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_33, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_35, plain, (X1=X2|between(euclid1(X1,X3,X2,X4,X5),X5,euclid2(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_37, plain, (equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))|~between(X3,X2,X5)|~between(X1,X3,X5)|~equidistant(X1,X5,X1,X6)|~equidistant(X1,X3,X1,X4))).
% 0.19/0.37 cnf(i_0_36, plain, (between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)|~between(X3,X4,X5)|~between(X2,X3,X5)|~equidistant(X2,X5,X2,X6)|~equidistant(X2,X3,X2,X1))).
% 0.19/0.37 cnf(i_0_32, plain, (X1=X2|between(X3,X4,X5)|between(X4,X5,X3)|between(X5,X3,X4)|~equidistant(X5,X1,X5,X2)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))).
% 0.19/0.37 cnf(i_0_25, plain, (X1=X2|equidistant(X3,X4,X5,X6)|~between(X7,X8,X5)|~between(X1,X2,X3)|~equidistant(X2,X4,X8,X6)|~equidistant(X2,X3,X8,X5)|~equidistant(X1,X4,X7,X6)|~equidistant(X1,X2,X7,X8))).
% 0.19/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.37 # Begin printing tableau
% 0.19/0.37 # Found 5 steps
% 0.19/0.37 cnf(i_0_38, negated_conjecture, (extension(u,v,w,w)!=v), inference(start_rule)).
% 0.19/0.37 cnf(i_0_39, plain, (extension(u,v,w,w)!=v), inference(extension_rule, [i_0_22])).
% 0.19/0.37 cnf(i_0_43, plain, (~equidistant(extension(u,v,w,w),v,X11,X11)), inference(extension_rule, [i_0_21])).
% 0.19/0.37 cnf(i_0_198, plain, (~equidistant(X11,X11,X11,X11)), inference(closure_rule, [i_0_20])).
% 0.19/0.37 cnf(i_0_199, plain, (~equidistant(X11,X11,extension(u,v,w,w),v)), inference(etableau_closure_rule, [i_0_199, ...])).
% 0.19/0.37 # End printing tableau
% 0.19/0.37 # SZS output end
% 0.19/0.37 # Branches closed with saturation will be marked with an "s"
% 0.19/0.37 # There were 1 total branch saturation attempts.
% 0.19/0.37 # There were 0 of these attempts blocked.
% 0.19/0.37 # There were 0 deferred branch saturation attempts.
% 0.19/0.37 # There were 0 free duplicated saturations.
% 0.19/0.37 # There were 1 total successful branch saturations.
% 0.19/0.37 # There were 0 successful branch saturations in interreduction.
% 0.19/0.37 # There were 0 successful branch saturations on the branch.
% 0.19/0.37 # There were 1 successful branch saturations after the branch.
% 0.19/0.37 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 # Begin clausification derivation
% 0.19/0.37
% 0.19/0.37 # End clausification derivation
% 0.19/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37 cnf(i_0_20, plain, (equidistant(X1,X2,X2,X1))).
% 0.19/0.37 cnf(i_0_23, plain, (between(X1,X2,extension(X1,X2,X3,X4)))).
% 0.19/0.37 cnf(i_0_24, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))).
% 0.19/0.37 cnf(i_0_38, negated_conjecture, (extension(u,v,w,w)!=v)).
% 0.19/0.37 cnf(i_0_29, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))).
% 0.19/0.37 cnf(i_0_30, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))).
% 0.19/0.37 cnf(i_0_31, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))).
% 0.19/0.37 cnf(i_0_26, plain, (X1=X2|~between(X1,X2,X1))).
% 0.19/0.37 cnf(i_0_22, plain, (X1=X2|~equidistant(X1,X2,X3,X3))).
% 0.19/0.37 cnf(i_0_28, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))).
% 0.19/0.37 cnf(i_0_21, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))).
% 0.19/0.37 cnf(i_0_27, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))).
% 0.19/0.37 cnf(i_0_34, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_33, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_35, plain, (X1=X2|between(euclid1(X1,X3,X2,X4,X5),X5,euclid2(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_37, plain, (equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))|~between(X3,X2,X5)|~between(X1,X3,X5)|~equidistant(X1,X5,X1,X6)|~equidistant(X1,X3,X1,X4))).
% 0.19/0.37 cnf(i_0_36, plain, (between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)|~between(X3,X4,X5)|~between(X2,X3,X5)|~equidistant(X2,X5,X2,X6)|~equidistant(X2,X3,X2,X1))).
% 0.19/0.37 cnf(i_0_32, plain, (X1=X2|between(X3,X4,X5)|between(X4,X5,X3)|between(X5,X3,X4)|~equidistant(X5,X1,X5,X2)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))).
% 0.19/0.37 cnf(i_0_25, plain, (X1=X2|equidistant(X3,X4,X5,X6)|~between(X7,X8,X5)|~between(X1,X2,X3)|~equidistant(X2,X4,X8,X6)|~equidistant(X2,X3,X8,X5)|~equidistant(X1,X4,X7,X6)|~equidistant(X1,X2,X7,X8))).
% 0.19/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.37 # Begin printing tableau
% 0.19/0.37 # Found 7 steps
% 0.19/0.37 cnf(i_0_38, negated_conjecture, (extension(u,v,w,w)!=v), inference(start_rule)).
% 0.19/0.37 cnf(i_0_39, plain, (extension(u,v,w,w)!=v), inference(extension_rule, [i_0_33])).
% 0.19/0.37 cnf(i_0_59, plain, (~between(X7,v,extension(X7,v,X13,X14))), inference(closure_rule, [i_0_23])).
% 0.19/0.37 cnf(i_0_60, plain, (~between(extension(u,v,w,w),v,extension(extension(u,v,w,w),v,X15,X16))), inference(closure_rule, [i_0_23])).
% 0.19/0.37 cnf(i_0_58, plain, (between(extension(u,v,w,w),X7,euclid1(extension(u,v,w,w),X7,v,extension(X7,v,X13,X14),extension(extension(u,v,w,w),v,X15,X16)))), inference(extension_rule, [i_0_28])).
% 0.19/0.37 cnf(i_0_196, plain, (~between(extension(u,v,w,w),X7,euclid1(extension(u,v,w,w),X7,v,extension(X7,v,X13,X14),extension(extension(u,v,w,w),v,X15,X16)))), inference(closure_rule, [i_0_58])).
% 0.19/0.37 cnf(i_0_194, plain, (between(X7,inner_pasch(extension(u,v,w,w),X7,euclid1(extension(u,v,w,w),X7,v,extension(X7,v,X13,X14),extension(extension(u,v,w,w),v,X15,X16)),X7,extension(u,v,w,w)),extension(u,v,w,w))), inference(etableau_closure_rule, [i_0_194, ...])).
% 0.19/0.37 # End printing tableau
% 0.19/0.37 # SZS output end
% 0.19/0.37 # Branches closed with saturation will be marked with an "s"
% 0.19/0.37 # There were 1 total branch saturation attempts.
% 0.19/0.37 # There were 0 of these attempts blocked.
% 0.19/0.37 # There were 0 deferred branch saturation attempts.
% 0.19/0.37 # There were 0 free duplicated saturations.
% 0.19/0.37 # There were 1 total successful branch saturations.
% 0.19/0.37 # There were 0 successful branch saturations in interreduction.
% 0.19/0.37 # There were 0 successful branch saturations on the branch.
% 0.19/0.37 # There were 1 successful branch saturations after the branch.
% 0.19/0.37 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 # Begin clausification derivation
% 0.19/0.37
% 0.19/0.37 # End clausification derivation
% 0.19/0.37 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.37 cnf(i_0_20, plain, (equidistant(X1,X2,X2,X1))).
% 0.19/0.37 cnf(i_0_23, plain, (between(X1,X2,extension(X1,X2,X3,X4)))).
% 0.19/0.37 cnf(i_0_24, plain, (equidistant(X1,extension(X2,X1,X3,X4),X3,X4))).
% 0.19/0.37 cnf(i_0_38, negated_conjecture, (extension(u,v,w,w)!=v)).
% 0.19/0.37 cnf(i_0_29, plain, (~between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3))).
% 0.19/0.37 cnf(i_0_30, plain, (~between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1))).
% 0.19/0.37 cnf(i_0_31, plain, (~between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2))).
% 0.19/0.37 cnf(i_0_26, plain, (X1=X2|~between(X1,X2,X1))).
% 0.19/0.37 cnf(i_0_22, plain, (X1=X2|~equidistant(X1,X2,X3,X3))).
% 0.19/0.37 cnf(i_0_28, plain, (between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)|~between(X5,X1,X4)|~between(X2,X3,X4))).
% 0.19/0.37 cnf(i_0_21, plain, (equidistant(X1,X2,X3,X4)|~equidistant(X5,X6,X3,X4)|~equidistant(X5,X6,X1,X2))).
% 0.19/0.37 cnf(i_0_27, plain, (between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)|~between(X5,X4,X3)|~between(X2,X1,X3))).
% 0.19/0.37 cnf(i_0_34, plain, (X1=X2|between(X1,X3,euclid2(X1,X4,X2,X3,X5))|~between(X4,X2,X3)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_33, plain, (X1=X2|between(X1,X3,euclid1(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_35, plain, (X1=X2|between(euclid1(X1,X3,X2,X4,X5),X5,euclid2(X1,X3,X2,X4,X5))|~between(X3,X2,X4)|~between(X1,X2,X5))).
% 0.19/0.37 cnf(i_0_37, plain, (equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))|~between(X3,X2,X5)|~between(X1,X3,X5)|~equidistant(X1,X5,X1,X6)|~equidistant(X1,X3,X1,X4))).
% 0.19/0.37 cnf(i_0_36, plain, (between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)|~between(X3,X4,X5)|~between(X2,X3,X5)|~equidistant(X2,X5,X2,X6)|~equidistant(X2,X3,X2,X1))).
% 0.19/0.37 cnf(i_0_32, plain, (X1=X2|between(X3,X4,X5)|between(X4,X5,X3)|between(X5,X3,X4)|~equidistant(X5,X1,X5,X2)|~equidistant(X4,X1,X4,X2)|~equidistant(X3,X1,X3,X2))).
% 0.19/0.37 cnf(i_0_25, plain, (X1=X2|equidistant(X3,X4,X5,X6)|~between(X7,X8,X5)|~between(X1,X2,X3)|~equidistant(X2,X4,X8,X6)|~equidistant(X2,X3,X8,X5)|~equidistant(X1,X4,X7,X6)|~equidistant(X1,X2,X7,X8))).
% 0.19/0.37 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.37 # Begin printing tableau
% 0.19/0.37 # Found 7 steps
% 0.19/0.37 cnf(i_0_38, negated_conjecture, (extension(u,v,w,w)!=v), inference(start_rule)).
% 0.19/0.37 cnf(i_0_39, plain, (extension(u,v,w,w)!=v), inference(extension_rule, [i_0_34])).
% 0.19/0.37 cnf(i_0_55, plain, (~between(X17,v,extension(X17,v,X13,X14))), inference(closure_rule, [i_0_23])).
% 0.19/0.37 cnf(i_0_56, plain, (~between(extension(u,v,w,w),v,extension(extension(u,v,w,w),v,X15,X16))), inference(closure_rule, [i_0_23])).
% 0.19/0.37 cnf(i_0_54, plain, (between(extension(u,v,w,w),extension(X17,v,X13,X14),euclid2(extension(u,v,w,w),X17,v,extension(X17,v,X13,X14),extension(extension(u,v,w,w),v,X15,X16)))), inference(extension_rule, [i_0_28])).
% 0.19/0.37 cnf(i_0_196, plain, (~between(extension(u,v,w,w),extension(X17,v,X13,X14),euclid2(extension(u,v,w,w),X17,v,extension(X17,v,X13,X14),extension(extension(u,v,w,w),v,X15,X16)))), inference(closure_rule, [i_0_54])).
% 0.19/0.37 cnf(i_0_194, plain, (between(extension(X17,v,X13,X14),inner_pasch(extension(u,v,w,w),extension(X17,v,X13,X14),euclid2(extension(u,v,w,w),X17,v,extension(X17,v,X13,X14),extension(extension(u,v,w,w),v,X15,X16)),extension(X17,v,X13,X14),extension(u,v,w,w)),extension(u,v,w,w))), inference(etableau_closure_rule, [i_0_194, ...])).
% 0.19/0.37 # End printing tableau
% 0.19/0.37 # SZS output end
% 0.19/0.37 # Branches closed with saturation will be marked with an "s"
% 0.19/0.37 # Child (19909) has found a proof.
% 0.19/0.37
% 0.19/0.37 # Proof search is over...
% 0.19/0.37 # Freeing feature tree
%------------------------------------------------------------------------------