TSTP Solution File: KRS150+1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : KRS150+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n024.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  : 300s
% DateTime : Mon Mar 25 14:18:11 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS150+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Mar 21 02:30:31 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start Proof for theBenchmark
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_0 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_0-1, axiom, ( cowlThing(_u1) )).
% 0.13/0.36  cnf(axiom_0-2, axiom, ( ~cowlNothing(_u2) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_1 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_1-1, axiom, ( ~xsd_string(_u4) | ~xsd_integer(_u4) )).
% 0.13/0.36  cnf(axiom_1-2, axiom, ( xsd_integer(_u5) | xsd_string(_u5) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_2 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_2-1, axiom, ( ~cC10(_u9) | rR1(_u9, skolem1(_u9)) )).
% 0.13/0.36  cnf(axiom_2-2, axiom, ( ~cC10(_u9) | ~cC2(skolem1(_u9)) )).
% 0.13/0.36  cnf(axiom_2-3, axiom, ( ~rR1(_u10, _u7) | cC2(_u7) | cC10(_u10) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_3 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_3-1, axiom, ( ~cC12(_u12) | ~cC2(_u12) )).
% 0.13/0.36  cnf(axiom_3-2, axiom, ( ~cC12(_u12) | ~cC10(_u12) )).
% 0.13/0.36  cnf(axiom_3-3, axiom, ( cC2(_u13) | cC10(_u13) | cC12(_u13) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_4 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_4-1, axiom, ( ~cC14(_u17) | rR1(_u17, skolem2(_u17)) )).
% 0.13/0.36  cnf(axiom_4-2, axiom, ( ~cC14(_u17) | cC12(skolem2(_u17)) )).
% 0.13/0.36  cnf(axiom_4-3, axiom, ( ~rR1(_u18, _u15) | ~cC12(_u15) | cC14(_u18) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_5 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_5-1, axiom, ( ~cC16(_u20) | cC14(_u20) )).
% 0.13/0.36  cnf(axiom_5-2, axiom, ( ~cC16(_u20) | cC8(_u20) )).
% 0.13/0.36  cnf(axiom_5-3, axiom, ( ~cC14(_u21) | ~cC8(_u21) | cC16(_u21) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_6 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_6-1, axiom, ( ~cC18(_u23) | cTOP(_u23) )).
% 0.13/0.36  cnf(axiom_6-2, axiom, ( ~cC18(_u23) | cC16(_u23) )).
% 0.13/0.36  cnf(axiom_6-3, axiom, ( ~cTOP(_u24) | ~cC16(_u24) | cC18(_u24) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_7 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_7-1, axiom, ( ~cC4(_u28) | rR1(_u28, skolem3(_u28)) )).
% 0.13/0.36  cnf(axiom_7-2, axiom, ( ~cC4(_u28) | ~cC2(skolem3(_u28)) )).
% 0.13/0.36  cnf(axiom_7-3, axiom, ( ~rR1(_u29, _u26) | cC2(_u26) | cC4(_u29) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_8 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_8-1, axiom, ( ~cC6(_u31) | ~cC2(_u31) )).
% 0.13/0.36  cnf(axiom_8-2, axiom, ( ~cC6(_u31) | ~cC4(_u31) )).
% 0.13/0.36  cnf(axiom_8-3, axiom, ( cC2(_u32) | cC4(_u32) | cC6(_u32) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_9 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_9-1, axiom, ( ~cC8(_u36) | rR1(_u36, skolem4(_u36)) )).
% 0.13/0.36  cnf(axiom_9-2, axiom, ( ~cC8(_u36) | cC6(skolem4(_u36)) )).
% 0.13/0.36  cnf(axiom_9-3, axiom, ( ~rR1(_u37, _u34) | ~cC6(_u34) | cC8(_u37) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_10 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_10-1, axiom, ( ~cTEST(_u39) | cC18(_u39) )).
% 0.13/0.36  cnf(axiom_10-2, axiom, ( ~cTEST(_u39) | cTOP(_u39) )).
% 0.13/0.36  cnf(axiom_10-3, axiom, ( ~cC18(_u40) | ~cTOP(_u40) | cTEST(_u40) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_11 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_11-1, axiom, ( cTOP(iV16560) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_12 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_12-1, axiom, ( cTEST(iV16560) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_13 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_13-1, axiom, ( cowlThing(iV16560) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_14 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_14-1, axiom, ( rR1(iV16560, iV16562) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_15 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_15-1, axiom, ( rR1(iV16560, iV16561) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_16 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_16-1, axiom, ( ~cC4(iV16561) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_17 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_17-1, axiom, ( cowlThing(iV16561) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_18 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_18-1, axiom, ( ~rR1(iV16561, _u41) | cC2(_u41) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_19 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_19-1, axiom, ( ~cC2(iV16561) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_20 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_20-1, axiom, ( ~cC10(iV16562) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_21 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_21-1, axiom, ( ~cC2(iV16562) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_22 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_22-1, axiom, ( cowlThing(iV16562) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: axiom_23 ( axiom ) converted to clauses:
% 0.13/0.36  cnf(axiom_23-1, axiom, ( ~rR1(iV16562, _u42) | cC2(_u42) )).
% 0.13/0.36  
% 0.13/0.36  % Formula: the_axiom ( conjecture ) (definitionally) converted to clauses:
% 0.13/0.36  cnf(the_axiom-1, negated_conjecture, ( ~cowlThing(skolem5) | cowlNothing(skolem5) | ~_def0 | ~_def1 | ~cC18(iV16560) | ~cC16(iV16560) | ~cowlThing(iV16560) | ~cC14(iV16560) | ~cC8(iV16560) | ~cowlThing(iV16561) | ~cC6(iV16561) | ~cowlThing(iV16562) | ~cC12(iV16562) )).
% 0.13/0.36  cnf(the_axiom-2, negated_conjecture, ( _def0 | xsd_string(skolem6) )).
% 0.13/0.36  cnf(the_axiom-3, negated_conjecture, ( _def0 | xsd_integer(skolem6) )).
% 0.13/0.36  cnf(the_axiom-4, negated_conjecture, ( _def1 | ~xsd_integer(skolem6) )).
% 0.13/0.36  cnf(the_axiom-5, negated_conjecture, ( _def1 | ~xsd_string(skolem6) )).
% 0.13/0.36  
% 0.13/0.36  % Problem matrix:
% 0.13/0.36  cnf(matrix-0, plain, ( cowlThing(_u1) )).
% 0.13/0.36  cnf(matrix-1, plain, ( ~cowlNothing(_u2) )).
% 0.13/0.36  cnf(matrix-2, plain, ( ~xsd_string(_u4) | ~xsd_integer(_u4) )).
% 0.13/0.36  cnf(matrix-3, plain, ( xsd_integer(_u5) | xsd_string(_u5) )).
% 0.13/0.36  cnf(matrix-4, plain, ( ~cC10(_u9) | rR1(_u9, skolem1(_u9)) )).
% 0.13/0.36  cnf(matrix-5, plain, ( ~cC10(_u9) | ~cC2(skolem1(_u9)) )).
% 0.13/0.36  cnf(matrix-6, plain, ( ~rR1(_u10, _u7) | cC2(_u7) | cC10(_u10) )).
% 0.13/0.36  cnf(matrix-7, plain, ( ~cC12(_u12) | ~cC2(_u12) )).
% 0.13/0.36  cnf(matrix-8, plain, ( ~cC12(_u12) | ~cC10(_u12) )).
% 0.13/0.36  cnf(matrix-9, plain, ( cC2(_u13) | cC10(_u13) | cC12(_u13) )).
% 0.13/0.36  cnf(matrix-10, plain, ( ~cC14(_u17) | rR1(_u17, skolem2(_u17)) )).
% 0.13/0.36  cnf(matrix-11, plain, ( ~cC14(_u17) | cC12(skolem2(_u17)) )).
% 0.13/0.36  cnf(matrix-12, plain, ( ~rR1(_u18, _u15) | ~cC12(_u15) | cC14(_u18) )).
% 0.13/0.36  cnf(matrix-13, plain, ( ~cC16(_u20) | cC14(_u20) )).
% 0.13/0.36  cnf(matrix-14, plain, ( ~cC16(_u20) | cC8(_u20) )).
% 0.13/0.36  cnf(matrix-15, plain, ( ~cC14(_u21) | ~cC8(_u21) | cC16(_u21) )).
% 0.13/0.36  cnf(matrix-16, plain, ( ~cC18(_u23) | cTOP(_u23) )).
% 0.13/0.36  cnf(matrix-17, plain, ( ~cC18(_u23) | cC16(_u23) )).
% 0.13/0.36  cnf(matrix-18, plain, ( ~cTOP(_u24) | ~cC16(_u24) | cC18(_u24) )).
% 0.13/0.36  cnf(matrix-19, plain, ( ~cC4(_u28) | rR1(_u28, skolem3(_u28)) )).
% 0.13/0.36  cnf(matrix-20, plain, ( ~cC4(_u28) | ~cC2(skolem3(_u28)) )).
% 0.13/0.36  cnf(matrix-21, plain, ( ~rR1(_u29, _u26) | cC2(_u26) | cC4(_u29) )).
% 0.13/0.36  cnf(matrix-22, plain, ( ~cC6(_u31) | ~cC2(_u31) )).
% 0.13/0.36  cnf(matrix-23, plain, ( ~cC6(_u31) | ~cC4(_u31) )).
% 0.13/0.36  cnf(matrix-24, plain, ( cC2(_u32) | cC4(_u32) | cC6(_u32) )).
% 0.13/0.36  cnf(matrix-25, plain, ( ~cC8(_u36) | rR1(_u36, skolem4(_u36)) )).
% 0.13/0.36  cnf(matrix-26, plain, ( ~cC8(_u36) | cC6(skolem4(_u36)) )).
% 0.13/0.36  cnf(matrix-27, plain, ( ~rR1(_u37, _u34) | ~cC6(_u34) | cC8(_u37) )).
% 0.13/0.36  cnf(matrix-28, plain, ( ~cTEST(_u39) | cC18(_u39) )).
% 0.13/0.36  cnf(matrix-29, plain, ( ~cTEST(_u39) | cTOP(_u39) )).
% 0.13/0.36  cnf(matrix-30, plain, ( ~cC18(_u40) | ~cTOP(_u40) | cTEST(_u40) )).
% 0.13/0.36  cnf(matrix-31, plain, ( cTOP(iV16560) )).
% 0.13/0.36  cnf(matrix-32, plain, ( cTEST(iV16560) )).
% 0.13/0.36  cnf(matrix-33, plain, ( cowlThing(iV16560) )).
% 0.13/0.36  cnf(matrix-34, plain, ( rR1(iV16560, iV16562) )).
% 0.13/0.36  cnf(matrix-35, plain, ( rR1(iV16560, iV16561) )).
% 0.13/0.36  cnf(matrix-36, plain, ( ~cC4(iV16561) )).
% 0.13/0.36  cnf(matrix-37, plain, ( cowlThing(iV16561) )).
% 0.13/0.36  cnf(matrix-38, plain, ( ~rR1(iV16561, _u41) | cC2(_u41) )).
% 0.13/0.36  cnf(matrix-39, plain, ( ~cC2(iV16561) )).
% 0.13/0.36  cnf(matrix-40, plain, ( ~cC10(iV16562) )).
% 0.13/0.36  cnf(matrix-41, plain, ( ~cC2(iV16562) )).
% 0.13/0.36  cnf(matrix-42, plain, ( cowlThing(iV16562) )).
% 0.13/0.36  cnf(matrix-43, plain, ( ~rR1(iV16562, _u42) | cC2(_u42) )).
% 0.13/0.36  cnf(matrix-44, plain, ( ~cowlThing(skolem5) | cowlNothing(skolem5) | ~_def0 | ~_def1 | ~cC18(iV16560) | ~cC16(iV16560) | ~cowlThing(iV16560) | ~cC14(iV16560) | ~cC8(iV16560) | ~cowlThing(iV16561) | ~cC6(iV16561) | ~cowlThing(iV16562) | ~cC12(iV16562) )).
% 0.13/0.36  cnf(matrix-45, plain, ( _def0 | xsd_string(skolem6) )).
% 0.13/0.36  cnf(matrix-46, plain, ( _def0 | xsd_integer(skolem6) )).
% 0.13/0.36  cnf(matrix-47, plain, ( _def1 | ~xsd_integer(skolem6) )).
% 0.13/0.36  cnf(matrix-48, plain, ( _def1 | ~xsd_string(skolem6) )).
% 0.13/0.36  
% 0.13/0.36  % Proof stack:
% 0.13/0.36  cnf(proof-stack, plain, 
% 0.13/0.36  proof_stack(
% 0.13/0.36  start(1), 
% 0.13/0.36  left_branch(0, 44, 1, 2), 
% 0.13/0.36  left_branch(0, 0, 0, 3), 
% 0.13/0.36  right_branch(3), 
% 0.13/0.36  left_branch(0, 42, 0, 4), 
% 0.13/0.36  right_branch(4), 
% 0.13/0.36  left_branch(0, 24, 2, 5), 
% 0.13/0.36  left_branch(0, 39, 0, 6), 
% 0.13/0.36  right_branch(6), 
% 0.13/0.36  left_branch(0, 36, 0, 7), 
% 0.13/0.36  right_branch(7), 
% 0.13/0.36  right_branch(5), 
% 0.13/0.36  left_branch(0, 37, 0, 6), 
% 0.13/0.36  right_branch(6), 
% 0.13/0.36  left_branch(0, 27, 2, 7), 
% 0.13/0.36  left_branch(0, 35, 0, 8), 
% 0.13/0.36  right_branch(8), 
% 0.13/0.36  lemmata(0, 2), 
% 0.13/0.36  right_branch(7), 
% 0.13/0.36  left_branch(0, 13, 1, 8), 
% 0.13/0.36  left_branch(0, 17, 1, 9), 
% 0.13/0.36  left_branch(0, 28, 1, 10), 
% 0.13/0.36  left_branch(0, 32, 0, 11), 
% 0.13/0.36  right_branch(11), 
% 0.13/0.36  right_branch(10), 
% 0.13/0.36  right_branch(9), 
% 0.13/0.36  right_branch(8), 
% 0.13/0.36  left_branch(0, 33, 0, 9), 
% 0.13/0.36  right_branch(9), 
% 0.13/0.36  left_branch(0, 17, 1, 10), 
% 0.13/0.36  left_branch(0, 28, 1, 11), 
% 0.13/0.36  left_branch(0, 32, 0, 12), 
% 0.13/0.36  right_branch(12), 
% 0.13/0.36  right_branch(11), 
% 0.13/0.36  right_branch(10), 
% 0.13/0.36  left_branch(0, 28, 1, 11), 
% 0.13/0.36  left_branch(0, 32, 0, 12), 
% 0.13/0.36  right_branch(12), 
% 0.13/0.36  right_branch(11), 
% 0.13/0.36  left_branch(0, 48, 0, 12), 
% 0.13/0.36  left_branch(0, 3, 1, 13), 
% 0.13/0.36  left_branch(0, 47, 1, 14), 
% 0.13/0.36  reduction(0, 1), 
% 0.13/0.36  right_branch(14), 
% 0.13/0.36  right_branch(13), 
% 0.13/0.36  right_branch(12), 
% 0.13/0.36  left_branch(0, 46, 0, 13), 
% 0.13/0.36  left_branch(0, 2, 1, 14), 
% 0.13/0.36  left_branch(0, 45, 1, 15), 
% 0.13/0.36  reduction(0, 1), 
% 0.13/0.36  right_branch(15), 
% 0.13/0.36  right_branch(14), 
% 0.13/0.36  right_branch(13), 
% 0.13/0.36  left_branch(0, 9, 2, 14), 
% 0.13/0.36  left_branch(0, 41, 0, 15), 
% 0.13/0.36  right_branch(15), 
% 0.13/0.36  left_branch(0, 40, 0, 16), 
% 0.13/0.36  right_branch(16), 
% 0.13/0.36  right_branch(14), 
% 0.13/0.36  right_branch(2)
% 0.13/0.36  )).
% 0.13/0.36  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------