TSTP Solution File: PUZ130+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n023.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 14:29:12 EDT 2024
% Result : Theorem 0.12s 0.34s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Mar 20 23:38:27 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% 0.12/0.34
% 0.12/0.34 % Formula: cat_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(cat_type-1, axiom, ( cat(skolem1) )).
% 0.12/0.34
% 0.12/0.34 % Formula: garfield_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(garfield_type-1, axiom, ( cat(garfield) )).
% 0.12/0.34
% 0.12/0.34 % Formula: dog_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(dog_type-1, axiom, ( dog(skolem2) )).
% 0.12/0.34
% 0.12/0.34 % Formula: odie_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(odie_type-1, axiom, ( dog(odie) )).
% 0.12/0.34
% 0.12/0.34 % Formula: pet_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(pet_type-1, axiom, ( pet(skolem3) )).
% 0.12/0.34
% 0.12/0.34 % Formula: dog_pet_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(dog_pet_type-1, axiom, ( ~dog(_u3) | pet(_u3) )).
% 0.12/0.34
% 0.12/0.34 % Formula: cat_pet_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(cat_pet_type-1, axiom, ( ~cat(_u4) | pet(_u4) )).
% 0.12/0.34
% 0.12/0.34 % Formula: human_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(human_type-1, axiom, ( human(skolem4) )).
% 0.12/0.34
% 0.12/0.34 % Formula: jon_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(jon_type-1, axiom, ( human(jon) )).
% 0.12/0.34
% 0.12/0.34 % Formula: owner_of_type ( axiom ) converted to clauses:
% 0.12/0.34 cnf(owner_of_type-1, axiom, ( ~pet(_u6) | human(owner_of(_u6)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: pet_owner_axiom ( axiom ) converted to clauses:
% 0.12/0.34 cnf(pet_owner_axiom-1, axiom, ( ~pet(_u8) | human(skolem5(_u8)) )).
% 0.12/0.34 cnf(pet_owner_axiom-2, axiom, ( ~pet(_u8) | owner(_u8, skolem5(_u8)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: jon_o_owner_axiom ( axiom ) converted to clauses:
% 0.12/0.34 cnf(jon_o_owner_axiom-1, axiom, ( owner(jon, odie) )).
% 0.12/0.34
% 0.12/0.34 % Formula: jon_g_owner_axiom ( axiom ) converted to clauses:
% 0.12/0.34 cnf(jon_g_owner_axiom-1, axiom, ( owner(jon, garfield) )).
% 0.12/0.34
% 0.12/0.34 % Formula: jon_only_g_owner_axiom ( axiom ) converted to clauses:
% 0.12/0.34 cnf(jon_only_g_owner_axiom-1, axiom, ( ( _u10 = garfield) | cat(skolem6) )).
% 0.12/0.34 cnf(jon_only_g_owner_axiom-2, axiom, ( ( _u10 = garfield) | ~owner(jon, skolem6) )).
% 0.12/0.34
% 0.12/0.34 % Formula: jon_only_o_owner_axiom ( axiom ) converted to clauses:
% 0.12/0.34 cnf(jon_only_o_owner_axiom-1, axiom, ( ( _u12 = odie) | dog(skolem7) )).
% 0.12/0.34 cnf(jon_only_o_owner_axiom-2, axiom, ( ( _u12 = odie) | ~owner(jon, skolem7) )).
% 0.12/0.34
% 0.12/0.34 % Formula: cat_chase_axiom ( axiom ) converted to clauses:
% 0.12/0.34 cnf(cat_chase_axiom-1, axiom, ( ~cat(_u14) | ~dog(_u13) | ~chased(_u13, _u14) | hates(owner_of(_u14), owner_of(_u13)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: owner_def ( axiom ) converted to clauses:
% 0.12/0.34 cnf(owner_def-1, axiom, ( ~human(_u16) | ~pet(_u15) | ~owner(_u16, _u15) | ( _u16 = owner_of(_u15)) )).
% 0.12/0.34 cnf(owner_def-2, axiom, ( ~human(_u16) | ~pet(_u15) | ( _u16 != owner_of(_u15)) | owner(_u16, _u15) )).
% 0.12/0.34
% 0.12/0.34 % Formula: odie_chase_axiom ( axiom ) converted to clauses:
% 0.12/0.34 cnf(odie_chase_axiom-1, axiom, ( chased(odie, garfield) )).
% 0.12/0.34
% 0.12/0.34 % Formula: jon_conjecture ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.34 cnf(jon_conjecture-1, negated_conjecture, ( ~hates(jon, jon) )).
% 0.12/0.34
% 0.12/0.34 % Problem matrix:
% 0.12/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( owner_of(__eqx_0) = owner_of(__eqy_0)) )).
% 0.12/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.12/0.35 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ~cat(__eqx_0) | cat(__eqy_0) )).
% 0.12/0.35 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~dog(__eqx_0) | dog(__eqy_0) )).
% 0.12/0.35 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ~pet(__eqx_0) | pet(__eqy_0) )).
% 0.12/0.35 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~human(__eqx_0) | human(__eqy_0) )).
% 0.12/0.35 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~owner(__eqx_0, __eqx_1) | owner(__eqy_0, __eqy_1) )).
% 0.12/0.35 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~chased(__eqx_0, __eqx_1) | chased(__eqy_0, __eqy_1) )).
% 0.12/0.35 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~hates(__eqx_0, __eqx_1) | hates(__eqy_0, __eqy_1) )).
% 0.12/0.35 cnf(matrix-12, plain, ( cat(skolem1) )).
% 0.12/0.35 cnf(matrix-13, plain, ( cat(garfield) )).
% 0.12/0.35 cnf(matrix-14, plain, ( dog(skolem2) )).
% 0.12/0.35 cnf(matrix-15, plain, ( dog(odie) )).
% 0.12/0.35 cnf(matrix-16, plain, ( pet(skolem3) )).
% 0.12/0.35 cnf(matrix-17, plain, ( ~dog(_u3) | pet(_u3) )).
% 0.12/0.35 cnf(matrix-18, plain, ( ~cat(_u4) | pet(_u4) )).
% 0.12/0.35 cnf(matrix-19, plain, ( human(skolem4) )).
% 0.12/0.35 cnf(matrix-20, plain, ( human(jon) )).
% 0.12/0.35 cnf(matrix-21, plain, ( ~pet(_u6) | human(owner_of(_u6)) )).
% 0.12/0.35 cnf(matrix-22, plain, ( ~pet(_u8) | human(skolem5(_u8)) )).
% 0.12/0.35 cnf(matrix-23, plain, ( ~pet(_u8) | owner(_u8, skolem5(_u8)) )).
% 0.12/0.35 cnf(matrix-24, plain, ( owner(jon, odie) )).
% 0.12/0.35 cnf(matrix-25, plain, ( owner(jon, garfield) )).
% 0.12/0.35 cnf(matrix-26, plain, ( ( _u10 = garfield) | cat(skolem6) )).
% 0.12/0.35 cnf(matrix-27, plain, ( ( _u10 = garfield) | ~owner(jon, skolem6) )).
% 0.12/0.35 cnf(matrix-28, plain, ( ( _u12 = odie) | dog(skolem7) )).
% 0.12/0.35 cnf(matrix-29, plain, ( ( _u12 = odie) | ~owner(jon, skolem7) )).
% 0.12/0.35 cnf(matrix-30, plain, ( ~cat(_u14) | ~dog(_u13) | ~chased(_u13, _u14) | hates(owner_of(_u14), owner_of(_u13)) )).
% 0.12/0.35 cnf(matrix-31, plain, ( ~human(_u16) | ~pet(_u15) | ~owner(_u16, _u15) | ( _u16 = owner_of(_u15)) )).
% 0.12/0.35 cnf(matrix-32, plain, ( ~human(_u16) | ~pet(_u15) | ( _u16 != owner_of(_u15)) | owner(_u16, _u15) )).
% 0.12/0.35 cnf(matrix-33, plain, ( chased(odie, garfield) )).
% 0.12/0.35 cnf(matrix-34, plain, ( ~hates(jon, jon) )).
% 0.12/0.35
% 0.12/0.35 % Proof stack:
% 0.12/0.35 cnf(proof-stack, plain,
% 0.12/0.35 proof_stack(
% 0.12/0.35 start(34),
% 0.12/0.35 left_branch(0, 11, 3, 2),
% 0.12/0.35 left_branch(0, 1, 1, 3),
% 0.12/0.35 left_branch(0, 31, 3, 4),
% 0.12/0.35 left_branch(0, 20, 0, 5),
% 0.12/0.35 right_branch(5),
% 0.12/0.35 left_branch(0, 25, 0, 6),
% 0.12/0.35 right_branch(6),
% 0.12/0.35 left_branch(0, 18, 1, 7),
% 0.12/0.35 left_branch(0, 13, 0, 8),
% 0.12/0.35 right_branch(8),
% 0.12/0.35 right_branch(7),
% 0.12/0.35 right_branch(4),
% 0.12/0.35 right_branch(3),
% 0.12/0.35 left_branch(0, 30, 3, 4),
% 0.12/0.35 left_branch(0, 13, 0, 5),
% 0.12/0.35 right_branch(5),
% 0.12/0.35 left_branch(0, 33, 0, 6),
% 0.12/0.35 right_branch(6),
% 0.12/0.35 left_branch(0, 15, 0, 7),
% 0.12/0.35 right_branch(7),
% 0.12/0.35 right_branch(4),
% 0.12/0.35 left_branch(0, 1, 1, 5),
% 0.12/0.35 left_branch(0, 31, 3, 6),
% 0.12/0.35 left_branch(0, 20, 0, 7),
% 0.12/0.35 right_branch(7),
% 0.12/0.35 left_branch(0, 24, 0, 8),
% 0.12/0.35 right_branch(8),
% 0.12/0.35 left_branch(0, 17, 1, 9),
% 0.12/0.35 left_branch(0, 15, 0, 10),
% 0.12/0.35 right_branch(10),
% 0.12/0.35 right_branch(9),
% 0.12/0.35 right_branch(6),
% 0.12/0.35 right_branch(5),
% 0.12/0.35 right_branch(2)
% 0.12/0.35 )).
% 0.12/0.35 % SZS output end Proof for theBenchmark
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