%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ128+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 : Sat Jun 21 05:23:27 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ128+2 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.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 : Fri Jun 20 02:47:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(patricide_type, type, (
% 0.12/0.37 patricide: $i > $o)).
% 0.12/0.37 tff(tptp_fun__Polyneikes__type, type, (
% 0.12/0.37 tptp_fun__Polyneikes_: $i)).
% 0.12/0.37 tff(tptp_fun__Oedipus__type, type, (
% 0.12/0.37 tptp_fun__Oedipus_: $i)).
% 0.12/0.37 tff(relation_type, type, (
% 0.12/0.37 relation: ( $i * $i * $i ) > $o)).
% 0.12/0.37 tff(tptp_fun__Thersandros__type, type, (
% 0.12/0.37 tptp_fun__Thersandros_: $i)).
% 0.12/0.37 tff(of_type, type, (
% 0.12/0.37 of: $i)).
% 0.12/0.37 tff(parent_type, type, (
% 0.12/0.37 parent: $i > $o)).
% 0.12/0.37 tff(tptp_fun__Iokaste__type, type, (
% 0.12/0.37 tptp_fun__Iokaste_: $i)).
% 0.12/0.37 tff(1,plain,
% 0.12/0.37 (patricide(|'Oedipus'|) <=> patricide(|'Oedipus'|)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 (((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|)) <=> ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(3,plain,
% 0.12/0.37 (?[A: $i, B: $i, C: $i, D: $i, E: $i] : ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|)) <=> ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|))),
% 0.12/0.37 inference(elim_unused_vars,[status(thm)],[])).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (?[A: $i, B: $i, C: $i, D: $i, E: $i] : (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E) & (~patricide(|'Thersandros'|))) <=> ?[A: $i, B: $i, C: $i, D: $i, E: $i] : ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|))),
% 0.12/0.37 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (?[A: $i, B: $i, C: $i, D: $i, E: $i] : (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E) & (~patricide(|'Thersandros'|))) <=> ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|))),
% 0.12/0.37 inference(transitivity,[status(thm)],[4, 3])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 (?[A: $i, B: $i, C: $i, D: $i, E: $i] : (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E) & (~patricide(|'Thersandros'|))) <=> ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|))),
% 0.12/0.37 inference(transitivity,[status(thm)],[5, 2])).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 (^[A: $i, B: $i, C: $i, D: $i, E: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A))), ((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A)) & parent(B)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A)) & parent(B)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B))), ((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B)))), (((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B)) & relation(B, of, |'Polyneikes'|)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B)) & relation(B, of, |'Polyneikes'|)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|))), (((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|)))), ((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B))), ((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B)))), (((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B)) & parent(C)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B)) & parent(C)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C))), (((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C)))), ((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C)) & relation(C, of, |'Polyneikes'|)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C)) & relation(C, of, |'Polyneikes'|)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|))), ((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|)))), (((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C))), (((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C)))), ((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C)) & parent(D)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C)) & parent(D)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D))), ((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D)))), (((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D)) & relation(D, of, |'Thersandros'|)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D)) & relation(D, of, |'Thersandros'|)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|))), (((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|)))), ((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D))), ((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D)))), (((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D)) & patricide(E)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D)) & patricide(E)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E))), (((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E)))), ((((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) & (|'Oedipus'| = E)) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E)) & (|'Oedipus'| = E)))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E)) & (|'Oedipus'| = E)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E))), ((((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) & (|'Oedipus'| = E)) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E)))), rewrite((~?[F: $i] : (patricide(F) & (|'Thersandros'| = F))) <=> (~patricide(|'Thersandros'|))), (((((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) & (|'Oedipus'| = E)) & (~?[F: $i] : (patricide(F) & (|'Thersandros'| = F)))) <=> ((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E)) & (~patricide(|'Thersandros'|))))), rewrite(((parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E)) & (~patricide(|'Thersandros'|))) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E) & (~patricide(|'Thersandros'|)))), (((((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) & (|'Oedipus'| = E)) & (~?[F: $i] : (patricide(F) & (|'Thersandros'| = F)))) <=> (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E) & (~patricide(|'Thersandros'|)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (?[A: $i, B: $i, C: $i, D: $i, E: $i] : ((((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) & (|'Oedipus'| = E)) & (~?[F: $i] : (patricide(F) & (|'Thersandros'| = F)))) <=> ?[A: $i, B: $i, C: $i, D: $i, E: $i] : (parent(A) & relation(A, of, |'Oedipus'|) & (|'Iokaste'| = A) & parent(B) & relation(B, of, |'Polyneikes'|) & (|'Iokaste'| = B) & parent(C) & relation(C, of, |'Polyneikes'|) & (|'Oedipus'| = C) & parent(D) & relation(D, of, |'Thersandros'|) & (|'Polyneikes'| = D) & patricide(E) & (|'Oedipus'| = E) & (~patricide(|'Thersandros'|)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[7])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (?[A: $i, B: $i, C: $i, D: $i, E: $i] : ((((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) & (|'Oedipus'| = E)) & (~?[F: $i] : (patricide(F) & (|'Thersandros'| = F)))) <=> ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|))),
% 0.12/0.38 inference(transitivity,[status(thm)],[8, 6])).
% 0.12/0.38 tff(10,axiom,(?[A: $i, B: $i, C: $i, D: $i, E: $i] : ((((((((((((((parent(A) & relation(A, of, |'Oedipus'|)) & (|'Iokaste'| = A)) & parent(B)) & relation(B, of, |'Polyneikes'|)) & (|'Iokaste'| = B)) & parent(C)) & relation(C, of, |'Polyneikes'|)) & (|'Oedipus'| = C)) & parent(D)) & relation(D, of, |'Thersandros'|)) & (|'Polyneikes'| = D)) & patricide(E)) & (|'Oedipus'| = E)) & (~?[F: $i] : (patricide(F) & (|'Thersandros'| = F))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','background')).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 ((~patricide(|'Thersandros'|)) & parent(|'Iokaste'|) & relation(|'Iokaste'|, of, |'Oedipus'|) & relation(|'Iokaste'|, of, |'Polyneikes'|) & parent(|'Oedipus'|) & relation(|'Oedipus'|, of, |'Polyneikes'|) & parent(|'Polyneikes'|) & relation(|'Polyneikes'|, of, |'Thersandros'|) & patricide(|'Oedipus'|)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (patricide(|'Oedipus'|)),
% 0.12/0.38 inference(and_elim,[status(thm)],[11])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (patricide(|'Oedipus'|)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[12, 1])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (relation(|'Oedipus'|, of, |'Polyneikes'|) <=> relation(|'Oedipus'|, of, |'Polyneikes'|)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 (relation(|'Oedipus'|, of, |'Polyneikes'|)),
% 0.12/0.38 inference(and_elim,[status(thm)],[11])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (relation(|'Oedipus'|, of, |'Polyneikes'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.12/0.39 tff(17,plain,
% 0.12/0.39 (parent(|'Oedipus'|) <=> parent(|'Oedipus'|)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(18,plain,
% 0.12/0.39 (parent(|'Oedipus'|)),
% 0.12/0.39 inference(and_elim,[status(thm)],[11])).
% 0.12/0.39 tff(19,plain,
% 0.12/0.39 (parent(|'Oedipus'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.12/0.39 tff(20,plain,
% 0.12/0.39 (relation(|'Iokaste'|, of, |'Oedipus'|) <=> relation(|'Iokaste'|, of, |'Oedipus'|)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(21,plain,
% 0.12/0.39 (relation(|'Iokaste'|, of, |'Oedipus'|)),
% 0.12/0.39 inference(and_elim,[status(thm)],[11])).
% 0.12/0.39 tff(22,plain,
% 0.12/0.39 (relation(|'Iokaste'|, of, |'Oedipus'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 (parent(|'Iokaste'|) <=> parent(|'Iokaste'|)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 (parent(|'Iokaste'|)),
% 0.12/0.39 inference(and_elim,[status(thm)],[11])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 (parent(|'Iokaste'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.12/0.39 tff(26,plain,
% 0.12/0.39 (^[C: $i, D: $i] : refl((patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C))) <=> (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(27,plain,
% 0.12/0.39 (![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C))) <=> ![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[26])).
% 0.12/0.39 tff(28,plain,
% 0.12/0.39 (^[C: $i, D: $i] : trans(monotonicity(rewrite((parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C)) <=> (~(patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C))))), ((~(parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))) <=> (~(~(patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C))))))), rewrite((~(~(patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C))))) <=> (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))), ((~(parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))) <=> (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 (![C: $i, D: $i] : (~(parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))) <=> ![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[28])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 ((~?[C: $i, D: $i] : (parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))) <=> (~?[C: $i, D: $i] : (parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 ((~?[A: $i, B: $i, C: $i, D: $i] : ((((((((parent(A) & patricide(B)) & parent(C)) & $true) & (~?[E: $i] : (patricide(E) & (D = E)))) & relation(C, of, D)) & (B = C)) & relation(A, of, B)) & (|'Iokaste'| = A))) <=> (~?[C: $i, D: $i] : (parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(32,axiom,(~?[A: $i, B: $i, C: $i, D: $i] : ((((((((parent(A) & patricide(B)) & parent(C)) & $true) & (~?[E: $i] : (patricide(E) & (D = E)))) & relation(C, of, D)) & (B = C)) & relation(A, of, B)) & (|'Iokaste'| = A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove')).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 (~?[C: $i, D: $i] : (parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.12/0.39 tff(34,plain,
% 0.12/0.39 (~?[C: $i, D: $i] : (parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[33, 30])).
% 0.12/0.39 tff(35,plain,
% 0.12/0.39 (~?[C: $i, D: $i] : (parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.12/0.39 tff(36,plain,
% 0.12/0.39 (~?[C: $i, D: $i] : (parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[35, 30])).
% 0.12/0.39 tff(37,plain,
% 0.12/0.39 (^[C: $i, D: $i] : refl($oeq((~(parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C))), (~(parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(38,plain,(
% 0.12/0.39 ![C: $i, D: $i] : (~(parent(|'Iokaste'|) & patricide(C) & parent(C) & (~patricide(D)) & relation(C, of, D) & relation(|'Iokaste'|, of, C)))),
% 0.12/0.39 inference(nnf-neg,[status(sab)],[36, 37])).
% 0.12/0.39 tff(39,plain,
% 0.12/0.39 (![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[38, 29])).
% 0.12/0.39 tff(40,plain,
% 0.12/0.39 (![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[39, 27])).
% 0.12/0.39 tff(41,plain,
% 0.12/0.39 (((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | ((~parent(|'Iokaste'|)) | patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|)))) <=> ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (~parent(|'Iokaste'|)) | patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(42,plain,
% 0.12/0.39 ((patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|))) <=> ((~parent(|'Iokaste'|)) | patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(43,plain,
% 0.12/0.39 (((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|)))) <=> ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | ((~parent(|'Iokaste'|)) | patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[42])).
% 0.12/0.39 tff(44,plain,
% 0.12/0.39 (((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|)))) <=> ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (~parent(|'Iokaste'|)) | patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|)))),
% 0.12/0.39 inference(transitivity,[status(thm)],[43, 41])).
% 0.12/0.39 tff(45,plain,
% 0.12/0.39 ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(46,plain,
% 0.12/0.39 ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (~parent(|'Iokaste'|)) | patricide(|'Polyneikes'|) | (~relation(|'Oedipus'|, of, |'Polyneikes'|)) | (~parent(|'Oedipus'|)) | (~patricide(|'Oedipus'|)) | (~relation(|'Iokaste'|, of, |'Oedipus'|))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.12/0.39 tff(47,plain,
% 0.12/0.39 (patricide(|'Polyneikes'|)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[46, 40, 25, 22, 19, 16, 13])).
% 0.12/0.39 tff(48,plain,
% 0.12/0.39 (relation(|'Polyneikes'|, of, |'Thersandros'|) <=> relation(|'Polyneikes'|, of, |'Thersandros'|)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(49,plain,
% 0.12/0.39 (relation(|'Polyneikes'|, of, |'Thersandros'|)),
% 0.12/0.39 inference(and_elim,[status(thm)],[11])).
% 0.12/0.39 tff(50,plain,
% 0.12/0.39 (relation(|'Polyneikes'|, of, |'Thersandros'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.12/0.39 tff(51,plain,
% 0.12/0.39 (parent(|'Polyneikes'|) <=> parent(|'Polyneikes'|)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(52,plain,
% 0.12/0.39 (parent(|'Polyneikes'|)),
% 0.12/0.39 inference(and_elim,[status(thm)],[11])).
% 0.12/0.39 tff(53,plain,
% 0.12/0.39 (parent(|'Polyneikes'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.12/0.39 tff(54,plain,
% 0.12/0.39 (relation(|'Iokaste'|, of, |'Polyneikes'|) <=> relation(|'Iokaste'|, of, |'Polyneikes'|)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(55,plain,
% 0.12/0.39 (relation(|'Iokaste'|, of, |'Polyneikes'|)),
% 0.12/0.39 inference(and_elim,[status(thm)],[11])).
% 0.12/0.39 tff(56,plain,
% 0.12/0.39 (relation(|'Iokaste'|, of, |'Polyneikes'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.12/0.39 tff(57,plain,
% 0.12/0.39 ((~patricide(|'Thersandros'|)) <=> (~patricide(|'Thersandros'|))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(58,plain,
% 0.12/0.39 (~patricide(|'Thersandros'|)),
% 0.12/0.39 inference(and_elim,[status(thm)],[11])).
% 0.12/0.39 tff(59,plain,
% 0.12/0.39 (~patricide(|'Thersandros'|)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.12/0.39 tff(60,plain,
% 0.12/0.39 (((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Thersandros'|) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)))) <=> ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | patricide(|'Thersandros'|) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(61,plain,
% 0.12/0.39 ((patricide(|'Thersandros'|) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|))) <=> (patricide(|'Thersandros'|) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(62,plain,
% 0.12/0.39 (((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Thersandros'|) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)))) <=> ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Thersandros'|) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[61])).
% 0.12/0.40 tff(63,plain,
% 0.12/0.40 (((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Thersandros'|) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)))) <=> ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | patricide(|'Thersandros'|) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)))),
% 0.12/0.40 inference(transitivity,[status(thm)],[62, 60])).
% 0.12/0.40 tff(64,plain,
% 0.12/0.40 ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | (patricide(|'Thersandros'|) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(65,plain,
% 0.12/0.40 ((~![C: $i, D: $i] : (patricide(D) | (~relation(C, of, D)) | (~parent(C)) | (~patricide(C)) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, C)))) | patricide(|'Thersandros'|) | (~parent(|'Iokaste'|)) | (~relation(|'Iokaste'|, of, |'Polyneikes'|)) | (~relation(|'Polyneikes'|, of, |'Thersandros'|)) | (~parent(|'Polyneikes'|)) | (~patricide(|'Polyneikes'|))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.40 tff(66,plain,
% 0.12/0.40 ($false),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[65, 59, 40, 25, 56, 53, 50, 47])).
% 0.12/0.40 % SZS output end Proof
% 0.12/0.40 % E exiting
%------------------------------------------------------------------------------