%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWW196+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 05:36:36 AM UTC 2025
% Result : Theorem 0.46s 0.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW196+1 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.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 11:15:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.46/0.66 % SZS status Theorem
% 0.46/0.66 % SZS output start Proof
% 0.46/0.66 tff(c_Groups_Otimes__class_Otimes_type, type, (
% 0.46/0.66 c_Groups_Otimes__class_Otimes: ( $i * $i * $i ) > $i)).
% 0.46/0.66 tff(c_Int_Onumber__class_Onumber__of_type, type, (
% 0.46/0.66 c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i)).
% 0.46/0.66 tff(c_Int_OBit0_type, type, (
% 0.46/0.66 c_Int_OBit0: $i > $i)).
% 0.46/0.66 tff(c_Int_OBit1_type, type, (
% 0.46/0.66 c_Int_OBit1: $i > $i)).
% 0.46/0.66 tff(c_Int_OPls_type, type, (
% 0.46/0.66 c_Int_OPls: $i)).
% 0.46/0.66 tff(tc_Nat_Onat_type, type, (
% 0.46/0.66 tc_Nat_Onat: $i)).
% 0.46/0.66 tff(v_na_____type, type, (
% 0.46/0.66 v_na____: $i)).
% 0.46/0.66 tff(v_thesis_____type, type, (
% 0.46/0.66 v_thesis____: $o)).
% 0.46/0.66 tff(tptp_fun_B_m_0_type, type, (
% 0.46/0.66 tptp_fun_B_m_0: $i)).
% 0.46/0.66 tff(1,plain,
% 0.46/0.66 ((~v_thesis____) <=> (~v_thesis____)),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(2,axiom,(~v_thesis____), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_1')).
% 0.46/0.66 tff(3,plain,
% 0.46/0.66 (~v_thesis____),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.46/0.66 tff(4,plain,
% 0.46/0.66 ((v_thesis____ | ![B_m: $i] : (~(v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))) <=> (v_thesis____ | ![B_m: $i] : (~(v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m))))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(5,plain,
% 0.46/0.66 ((v_thesis____ | ![B_m: $i] : (~(v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))) <=> (v_thesis____ | ![B_m: $i] : (~(v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m))))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(6,plain,
% 0.46/0.66 ((~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m))) <=> (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(7,plain,
% 0.46/0.66 ((v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))) <=> (v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m))))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[6])).
% 0.46/0.66 tff(8,plain,
% 0.46/0.66 ((v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))) <=> (v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m))))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(9,plain,
% 0.46/0.66 ((?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)) => v_thesis____) <=> (v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m))))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(10,axiom,(?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)) => v_thesis____), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conj_0')).
% 0.46/0.66 tff(11,plain,
% 0.46/0.66 (v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.46/0.66 tff(12,plain,
% 0.46/0.66 (v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.46/0.66 tff(13,plain,
% 0.46/0.66 (v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.46/0.66 tff(14,plain,
% 0.46/0.66 (v_thesis____ | (~?[B_m: $i] : (v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), B_m)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[13, 7])).
% 0.46/0.66 Proof display could not be completed: monotonicity rule is not handled
% 0.49/0.71 % E exiting
%------------------------------------------------------------------------------