TSTP Solution File: SYN986+1.003 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n032.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 14:43:54 EDT 2024
% Result : Theorem 0.14s 0.30s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Mar 20 22:48:40 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.30 % SZS status Theorem for theBenchmark
% 0.14/0.30 % SZS output start Proof for theBenchmark
% 0.14/0.30
% 0.14/0.30 % Formula: hyp1 ( axiom ) converted to clauses:
% 0.14/0.30 cnf(hyp1-1, axiom, ( r(_u0, zero, succ(_u0)) )).
% 0.14/0.30
% 0.14/0.30 % Formula: hyp2 ( axiom ) converted to clauses:
% 0.14/0.30 cnf(hyp2-1, axiom, ( ~r(_u4, _u3, _u2) | ~r(_u2, _u3, _u1) | r(_u4, succ(_u3), _u1) )).
% 0.14/0.30
% 0.14/0.30 % Formula: ck ( conjecture ) (definitionally) converted to clauses:
% 0.14/0.30 cnf(ck-1, negated_conjecture, ( ~r(zero, zero, _u8) | ~r(zero, _u8, _u7) | ~r(zero, _u7, _u6) | ~r(zero, _u6, _u5) )).
% 0.14/0.30
% 0.14/0.30 % Problem matrix:
% 0.14/0.30 cnf(matrix-0, plain, ( r(_u0, zero, succ(_u0)) )).
% 0.14/0.30 cnf(matrix-1, plain, ( ~r(_u4, _u3, _u2) | ~r(_u2, _u3, _u1) | r(_u4, succ(_u3), _u1) )).
% 0.14/0.30 cnf(matrix-2, plain, ( ~r(zero, zero, _u8) | ~r(zero, _u8, _u7) | ~r(zero, _u7, _u6) | ~r(zero, _u6, _u5) )).
% 0.14/0.30
% 0.14/0.30 % Proof stack:
% 0.14/0.30 cnf(proof-stack, plain,
% 0.14/0.30 proof_stack(
% 0.14/0.30 start(2),
% 0.14/0.30 left_branch(0, 0, 0, 2),
% 0.14/0.30 right_branch(2),
% 0.14/0.30 left_branch(0, 1, 2, 3),
% 0.14/0.30 left_branch(0, 1, 2, 4),
% 0.14/0.30 left_branch(0, 1, 2, 5),
% 0.14/0.30 left_branch(0, 1, 2, 6),
% 0.14/0.30 left_branch(0, 0, 0, 7),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 left_branch(0, 0, 0, 8),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 right_branch(6),
% 0.14/0.30 left_branch(0, 1, 2, 7),
% 0.14/0.30 left_branch(0, 0, 0, 8),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 left_branch(0, 0, 0, 9),
% 0.14/0.30 right_branch(9),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 right_branch(5),
% 0.14/0.30 left_branch(0, 1, 2, 6),
% 0.14/0.30 left_branch(0, 1, 2, 7),
% 0.14/0.30 left_branch(0, 0, 0, 8),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 left_branch(0, 0, 0, 9),
% 0.14/0.30 right_branch(9),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 left_branch(0, 1, 2, 8),
% 0.14/0.30 left_branch(0, 0, 0, 9),
% 0.14/0.30 right_branch(9),
% 0.14/0.30 left_branch(0, 0, 0, 10),
% 0.14/0.30 right_branch(10),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 right_branch(6),
% 0.14/0.30 right_branch(4),
% 0.14/0.30 left_branch(0, 1, 2, 5),
% 0.14/0.30 left_branch(0, 1, 2, 6),
% 0.14/0.30 left_branch(0, 1, 2, 7),
% 0.14/0.30 left_branch(0, 0, 0, 8),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 left_branch(0, 0, 0, 9),
% 0.14/0.30 right_branch(9),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 left_branch(0, 1, 2, 8),
% 0.14/0.30 left_branch(0, 0, 0, 9),
% 0.14/0.30 right_branch(9),
% 0.14/0.30 left_branch(0, 0, 0, 10),
% 0.14/0.30 right_branch(10),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 right_branch(6),
% 0.14/0.30 left_branch(0, 1, 2, 7),
% 0.14/0.30 left_branch(0, 1, 2, 8),
% 0.14/0.30 left_branch(0, 0, 0, 9),
% 0.14/0.30 right_branch(9),
% 0.14/0.30 left_branch(0, 0, 0, 10),
% 0.14/0.30 right_branch(10),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 left_branch(0, 1, 2, 9),
% 0.14/0.30 left_branch(0, 0, 0, 10),
% 0.14/0.30 right_branch(10),
% 0.14/0.30 left_branch(0, 0, 0, 11),
% 0.14/0.30 right_branch(11),
% 0.14/0.30 right_branch(9),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 right_branch(5),
% 0.14/0.30 right_branch(3),
% 0.14/0.30 left_branch(0, 1, 2, 4),
% 0.14/0.30 left_branch(0, 1, 2, 5),
% 0.14/0.30 left_branch(0, 0, 0, 6),
% 0.14/0.30 right_branch(6),
% 0.14/0.30 left_branch(0, 0, 0, 7),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 right_branch(5),
% 0.14/0.30 left_branch(0, 1, 2, 6),
% 0.14/0.30 left_branch(0, 0, 0, 7),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 left_branch(0, 0, 0, 8),
% 0.14/0.30 right_branch(8),
% 0.14/0.30 right_branch(6),
% 0.14/0.30 right_branch(4),
% 0.14/0.30 left_branch(0, 1, 2, 5),
% 0.14/0.30 left_branch(0, 0, 0, 6),
% 0.14/0.30 right_branch(6),
% 0.14/0.30 left_branch(0, 0, 0, 7),
% 0.14/0.30 right_branch(7),
% 0.14/0.30 right_branch(5)
% 0.14/0.30 )).
% 0.14/0.30 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------