TSTP Solution File: KRS172+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : KRS172+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 : n031.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 14:18:15 EDT 2024
% Result : Theorem 2.01s 2.25s
% Output : Proof 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS172+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 02:59:33 EDT 2024
% 0.12/0.34 % CPUTime :
% 2.01/2.25 % SZS status Theorem for theBenchmark
% 2.01/2.25 % SZS output start Proof for theBenchmark
% 2.01/2.25
% 2.01/2.25 % Formula: cd_substitution_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(cd_substitution_1-1, axiom, ( ( _u1 != _u0) | ~cd(_u1) | cd(_u0) )).
% 2.01/2.25
% 2.01/2.25 % Formula: cowlNothing_substitution_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(cowlNothing_substitution_1-1, axiom, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 2.01/2.25
% 2.01/2.25 % Formula: cowlThing_substitution_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(cowlThing_substitution_1-1, axiom, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 2.01/2.25
% 2.01/2.25 % Formula: rp_substitution_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(rp_substitution_1-1, axiom, ( ( _u8 != _u7) | ~rp(_u8, _u6) | rp(_u7, _u6) )).
% 2.01/2.25
% 2.01/2.25 % Formula: rp_substitution_2 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(rp_substitution_2-1, axiom, ( ( _u11 != _u10) | ~rp(_u9, _u11) | rp(_u9, _u10) )).
% 2.01/2.25
% 2.01/2.25 % Formula: rq_substitution_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(rq_substitution_1-1, axiom, ( ( _u14 != _u13) | ~rq(_u14, _u12) | rq(_u13, _u12) )).
% 2.01/2.25
% 2.01/2.25 % Formula: rq_substitution_2 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(rq_substitution_2-1, axiom, ( ( _u17 != _u16) | ~rq(_u15, _u17) | rq(_u15, _u16) )).
% 2.01/2.25
% 2.01/2.25 % Formula: xsd_integer_substitution_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(xsd_integer_substitution_1-1, axiom, ( ( _u19 != _u18) | ~xsd_integer(_u19) | xsd_integer(_u18) )).
% 2.01/2.25
% 2.01/2.25 % Formula: xsd_string_substitution_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(xsd_string_substitution_1-1, axiom, ( ( _u21 != _u20) | ~xsd_string(_u21) | xsd_string(_u20) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_0 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_0-1, axiom, ( cowlThing(_u23) )).
% 2.01/2.25 cnf(axiom_0-2, axiom, ( ~cowlNothing(_u24) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_1 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_1-1, axiom, ( ~xsd_string(_u26) | ~xsd_integer(_u26) )).
% 2.01/2.25 cnf(axiom_1-2, axiom, ( xsd_integer(_u27) | xsd_string(_u27) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_2 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_2-1, axiom, ( ~cd(_u29) | rq(_u29, iv) )).
% 2.01/2.25 cnf(axiom_2-2, axiom, ( ~rq(_u30, iv) | cd(_u30) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_3 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_3-1, axiom, ( ~cd(_u32) | rp(_u32, iv) )).
% 2.01/2.25 cnf(axiom_3-2, axiom, ( ~rp(_u33, iv) | cd(_u33) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_4 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_4-1, axiom, ( ~rp(_u36, _u35) | ~rp(_u36, _u34) | ( _u35 = _u34) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_5 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_5-1, axiom, ( cd(_u38) | ~rp(_u38, _u37) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_6 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_6-1, axiom, ( ~rq(_u41, _u40) | ~rq(_u41, _u39) | ( _u40 = _u39) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_7 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_7-1, axiom, ( cd(_u43) | ~rq(_u43, _u42) )).
% 2.01/2.25
% 2.01/2.25 % Formula: axiom_8 ( axiom ) converted to clauses:
% 2.01/2.25 cnf(axiom_8-1, axiom, ( cowlThing(iv) )).
% 2.01/2.25
% 2.01/2.25 % Formula: the_axiom ( conjecture ) (definitionally) converted to clauses:
% 2.01/2.25 cnf(the_axiom-1, negated_conjecture, ( ~cowlThing(skolem1) | cowlNothing(skolem1) | ~_def0 | ~_def1 | ~_def2 | ~_def3 )).
% 2.01/2.25 cnf(the_axiom-2, negated_conjecture, ( _def0 | xsd_string(skolem2) )).
% 2.01/2.25 cnf(the_axiom-3, negated_conjecture, ( _def0 | xsd_integer(skolem2) )).
% 2.01/2.25 cnf(the_axiom-4, negated_conjecture, ( _def1 | ~xsd_integer(skolem2) )).
% 2.01/2.25 cnf(the_axiom-5, negated_conjecture, ( _def1 | ~xsd_string(skolem2) )).
% 2.01/2.25 cnf(the_axiom-6, negated_conjecture, ( _def2 | rq(skolem3, skolem4) )).
% 2.01/2.25 cnf(the_axiom-7, negated_conjecture, ( _def2 | ~rp(skolem3, skolem4) )).
% 2.01/2.25 cnf(the_axiom-8, negated_conjecture, ( _def3 | rp(skolem3, skolem4) )).
% 2.01/2.25 cnf(the_axiom-9, negated_conjecture, ( _def3 | ~rq(skolem3, skolem4) )).
% 2.01/2.25
% 2.01/2.25 % Problem matrix:
% 2.01/2.25 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 2.01/2.25 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 2.01/2.25 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 2.01/2.25 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ~cd(__eqx_0) | cd(__eqy_0) )).
% 2.01/2.25 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ~cowlNothing(__eqx_0) | cowlNothing(__eqy_0) )).
% 2.01/2.25 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~cowlThing(__eqx_0) | cowlThing(__eqy_0) )).
% 2.01/2.25 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rp(__eqx_0, __eqx_1) | rp(__eqy_0, __eqy_1) )).
% 2.01/2.25 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~rq(__eqx_0, __eqx_1) | rq(__eqy_0, __eqy_1) )).
% 2.01/2.25 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_integer(__eqx_0) | xsd_integer(__eqy_0) )).
% 2.01/2.25 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~xsd_string(__eqx_0) | xsd_string(__eqy_0) )).
% 2.01/2.25 cnf(matrix-10, plain, ( ( _u1 != _u0) | ~cd(_u1) | cd(_u0) )).
% 2.01/2.25 cnf(matrix-11, plain, ( ( _u3 != _u2) | ~cowlNothing(_u3) | cowlNothing(_u2) )).
% 2.01/2.25 cnf(matrix-12, plain, ( ( _u5 != _u4) | ~cowlThing(_u5) | cowlThing(_u4) )).
% 2.01/2.25 cnf(matrix-13, plain, ( ( _u8 != _u7) | ~rp(_u8, _u6) | rp(_u7, _u6) )).
% 2.01/2.25 cnf(matrix-14, plain, ( ( _u11 != _u10) | ~rp(_u9, _u11) | rp(_u9, _u10) )).
% 2.01/2.25 cnf(matrix-15, plain, ( ( _u14 != _u13) | ~rq(_u14, _u12) | rq(_u13, _u12) )).
% 2.01/2.25 cnf(matrix-16, plain, ( ( _u17 != _u16) | ~rq(_u15, _u17) | rq(_u15, _u16) )).
% 2.01/2.25 cnf(matrix-17, plain, ( ( _u19 != _u18) | ~xsd_integer(_u19) | xsd_integer(_u18) )).
% 2.01/2.25 cnf(matrix-18, plain, ( ( _u21 != _u20) | ~xsd_string(_u21) | xsd_string(_u20) )).
% 2.01/2.25 cnf(matrix-19, plain, ( cowlThing(_u23) )).
% 2.01/2.25 cnf(matrix-20, plain, ( ~cowlNothing(_u24) )).
% 2.01/2.25 cnf(matrix-21, plain, ( ~xsd_string(_u26) | ~xsd_integer(_u26) )).
% 2.01/2.25 cnf(matrix-22, plain, ( xsd_integer(_u27) | xsd_string(_u27) )).
% 2.01/2.25 cnf(matrix-23, plain, ( ~cd(_u29) | rq(_u29, iv) )).
% 2.01/2.25 cnf(matrix-24, plain, ( ~rq(_u30, iv) | cd(_u30) )).
% 2.01/2.25 cnf(matrix-25, plain, ( ~cd(_u32) | rp(_u32, iv) )).
% 2.01/2.25 cnf(matrix-26, plain, ( ~rp(_u33, iv) | cd(_u33) )).
% 2.01/2.25 cnf(matrix-27, plain, ( ~rp(_u36, _u35) | ~rp(_u36, _u34) | ( _u35 = _u34) )).
% 2.01/2.25 cnf(matrix-28, plain, ( cd(_u38) | ~rp(_u38, _u37) )).
% 2.01/2.25 cnf(matrix-29, plain, ( ~rq(_u41, _u40) | ~rq(_u41, _u39) | ( _u40 = _u39) )).
% 2.01/2.25 cnf(matrix-30, plain, ( cd(_u43) | ~rq(_u43, _u42) )).
% 2.01/2.25 cnf(matrix-31, plain, ( cowlThing(iv) )).
% 2.01/2.25 cnf(matrix-32, plain, ( ~cowlThing(skolem1) | cowlNothing(skolem1) | ~_def0 | ~_def1 | ~_def2 | ~_def3 )).
% 2.01/2.25 cnf(matrix-33, plain, ( _def0 | xsd_string(skolem2) )).
% 2.01/2.25 cnf(matrix-34, plain, ( _def0 | xsd_integer(skolem2) )).
% 2.01/2.25 cnf(matrix-35, plain, ( _def1 | ~xsd_integer(skolem2) )).
% 2.01/2.25 cnf(matrix-36, plain, ( _def1 | ~xsd_string(skolem2) )).
% 2.01/2.25 cnf(matrix-37, plain, ( _def2 | rq(skolem3, skolem4) )).
% 2.01/2.25 cnf(matrix-38, plain, ( _def2 | ~rp(skolem3, skolem4) )).
% 2.01/2.25 cnf(matrix-39, plain, ( _def3 | rp(skolem3, skolem4) )).
% 2.01/2.25 cnf(matrix-40, plain, ( _def3 | ~rq(skolem3, skolem4) )).
% 2.01/2.25
% 2.01/2.25 % Proof stack:
% 2.01/2.25 cnf(proof-stack, plain,
% 2.01/2.25 proof_stack(
% 2.01/2.25 start(20),
% 2.01/2.25 left_branch(0, 32, 1, 2),
% 2.01/2.25 left_branch(0, 19, 0, 3),
% 2.01/2.25 right_branch(3),
% 2.01/2.25 left_branch(0, 37, 0, 4),
% 2.01/2.25 left_branch(0, 29, 1, 5),
% 2.01/2.25 left_branch(0, 23, 1, 6),
% 2.01/2.25 left_branch(0, 30, 0, 7),
% 2.01/2.25 reduction(0, 2),
% 2.01/2.25 right_branch(7),
% 2.01/2.25 right_branch(6),
% 2.01/2.25 left_branch(0, 14, 0, 7),
% 2.01/2.25 left_branch(0, 38, 1, 8),
% 2.01/2.25 reduction(0, 1),
% 2.01/2.25 right_branch(8),
% 2.01/2.25 left_branch(0, 25, 1, 9),
% 2.01/2.25 left_branch(0, 30, 0, 10),
% 2.01/2.25 reduction(0, 2),
% 2.01/2.25 right_branch(10),
% 2.01/2.25 right_branch(9),
% 2.01/2.25 right_branch(7),
% 2.01/2.25 right_branch(5),
% 2.01/2.25 right_branch(4),
% 2.01/2.25 left_branch(0, 36, 0, 5),
% 2.01/2.25 left_branch(0, 22, 1, 6),
% 2.01/2.25 left_branch(0, 35, 1, 7),
% 2.01/2.25 reduction(0, 1),
% 2.01/2.25 right_branch(7),
% 2.01/2.25 right_branch(6),
% 2.01/2.25 right_branch(5),
% 2.01/2.25 left_branch(0, 34, 0, 6),
% 2.01/2.25 left_branch(0, 21, 1, 7),
% 2.01/2.26 left_branch(0, 33, 1, 8),
% 2.01/2.26 reduction(0, 1),
% 2.01/2.26 right_branch(8),
% 2.01/2.26 right_branch(7),
% 2.01/2.26 right_branch(6),
% 2.01/2.26 left_branch(0, 39, 0, 7),
% 2.01/2.26 left_branch(0, 27, 1, 8),
% 2.01/2.26 left_branch(0, 25, 1, 9),
% 2.01/2.26 left_branch(0, 28, 0, 10),
% 2.01/2.26 reduction(0, 2),
% 2.01/2.26 right_branch(10),
% 2.01/2.26 right_branch(9),
% 2.01/2.26 left_branch(0, 16, 0, 10),
% 2.01/2.26 left_branch(0, 40, 1, 11),
% 2.01/2.26 reduction(0, 1),
% 2.01/2.26 right_branch(11),
% 2.01/2.26 left_branch(0, 23, 1, 12),
% 2.01/2.26 left_branch(0, 28, 0, 13),
% 2.01/2.26 reduction(0, 2),
% 2.01/2.26 right_branch(13),
% 2.01/2.26 right_branch(12),
% 2.01/2.26 right_branch(10),
% 2.01/2.26 right_branch(8),
% 2.01/2.26 right_branch(7),
% 2.01/2.26 right_branch(2)
% 2.01/2.26 )).
% 2.01/2.26 % SZS output end Proof for theBenchmark
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