%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR158+1 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:04:21 AM UTC 2025
% Result : Theorem 68.59s 68.81s
% Output : Proof 69.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR158+1 : TPTP v9.0.0. Released v7.3.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.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 : Thu Jun 19 13:04:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 68.59/68.81 % SZS status Theorem
% 68.59/68.81 % SZS output start Proof
% 68.59/68.81 tff(p__d__instance_type, type, (
% 68.59/68.81 p__d__instance: ( $i * $i ) > $o)).
% 68.59/68.81 tff(c__NaturalLanguage_type, type, (
% 68.59/68.81 c__NaturalLanguage: $i)).
% 68.59/68.81 tff(c__ConstructedLanguage_type, type, (
% 68.59/68.81 c__ConstructedLanguage: $i)).
% 68.59/68.81 tff(p__d__disjoint_type, type, (
% 68.59/68.81 p__d__disjoint: ( $i * $i ) > $o)).
% 68.59/68.81 tff(tptp_fun_INST_0_type, type, (
% 68.59/68.81 tptp_fun_INST_0: ( $i * $i ) > $i)).
% 68.59/68.81 tff(p__d__disjointDecomposition3_type, type, (
% 68.59/68.81 p__d__disjointDecomposition3: ( $i * $i * $i ) > $o)).
% 68.59/68.81 tff(c__HumanLanguage_type, type, (
% 68.59/68.81 c__HumanLanguage: $i)).
% 68.59/68.81 tff(p__d__disjointDecomposition4_type, type, (
% 68.59/68.81 p__d__disjointDecomposition4: ( $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__disjointDecomposition5_type, type, (
% 68.59/68.81 p__d__disjointDecomposition5: ( $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__disjointDecomposition6_type, type, (
% 68.59/68.81 p__d__disjointDecomposition6: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__disjointDecomposition7_type, type, (
% 68.59/68.81 p__d__disjointDecomposition7: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__exhaustiveDecomposition3_type, type, (
% 68.59/68.81 p__d__exhaustiveDecomposition3: ( $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__partition3_type, type, (
% 68.59/68.81 p__d__partition3: ( $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__exhaustiveDecomposition4_type, type, (
% 68.59/68.81 p__d__exhaustiveDecomposition4: ( $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__partition4_type, type, (
% 68.59/68.81 p__d__partition4: ( $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__exhaustiveDecomposition5_type, type, (
% 68.59/68.81 p__d__exhaustiveDecomposition5: ( $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__partition5_type, type, (
% 68.59/68.81 p__d__partition5: ( $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__exhaustiveDecomposition6_type, type, (
% 68.59/68.81 p__d__exhaustiveDecomposition6: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__partition6_type, type, (
% 68.59/68.81 p__d__partition6: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__exhaustiveDecomposition7_type, type, (
% 68.59/68.81 p__d__exhaustiveDecomposition7: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(p__d__partition7_type, type, (
% 68.59/68.81 p__d__partition7: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 68.59/68.81 tff(tptp_fun_Y_1176_type, type, (
% 68.59/68.81 tptp_fun_Y_1176: $i)).
% 68.59/68.81 tff(1,plain,
% 68.59/68.81 (^[CLASS1: $i, CLASS2: $i] : refl((~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))) <=> (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))))),
% 68.59/68.81 inference(bind,[status(th)],[])).
% 68.59/68.81 tff(2,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))) <=> ![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))),
% 68.59/68.81 inference(quant_intro,[status(thm)],[1])).
% 68.59/68.81 tff(3,plain,
% 68.59/68.81 (^[CLASS1: $i, CLASS2: $i] : rewrite((~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))) <=> (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))))),
% 68.59/68.81 inference(bind,[status(th)],[])).
% 68.59/68.81 tff(4,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))) <=> ![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))),
% 68.59/68.81 inference(quant_intro,[status(thm)],[3])).
% 68.59/68.81 tff(5,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))) <=> ![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))),
% 68.59/68.81 inference(transitivity,[status(thm)],[4, 2])).
% 68.59/68.81 tff(6,plain,
% 68.59/68.81 (^[CLASS1: $i, CLASS2: $i] : trans(monotonicity(rewrite(((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) <=> ((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))), rewrite((p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))) <=> (p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))), ((((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) & (p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))) <=> (((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) & (p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))))), rewrite((((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) & (p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))) <=> (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))), ((((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) & (p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))) <=> (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))))),
% 68.59/68.81 inference(bind,[status(th)],[])).
% 68.59/68.81 tff(7,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) & (p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1)))))) <=> ![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))),
% 68.59/68.81 inference(quant_intro,[status(thm)],[6])).
% 68.59/68.81 tff(8,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) <=> ![CLASS1: $i, CLASS2: $i] : (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))),
% 68.59/68.81 inference(rewrite,[status(thm)],[])).
% 68.59/68.81 tff(9,plain,
% 68.59/68.81 (^[CLASS1: $i, CLASS2: $i] : rewrite((p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS1)) | (~p__d__instance(INST, CLASS2)))) <=> (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))))),
% 68.59/68.81 inference(bind,[status(th)],[])).
% 68.59/68.81 tff(10,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS1)) | (~p__d__instance(INST, CLASS2)))) <=> ![CLASS1: $i, CLASS2: $i] : (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))),
% 68.59/68.81 inference(quant_intro,[status(thm)],[9])).
% 68.59/68.81 tff(11,axiom,(![CLASS1: $i, CLASS2: $i] : (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS1)) | (~p__d__instance(INST, CLASS2))))), file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax','predefinitionsA15')).
% 68.59/68.81 tff(12,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))),
% 68.59/68.81 inference(modus_ponens,[status(thm)],[11, 10])).
% 68.59/68.81 tff(13,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (p__d__disjoint(CLASS1, CLASS2) <=> ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))),
% 68.59/68.81 inference(modus_ponens,[status(thm)],[12, 8])).
% 68.59/68.81 tff(14,plain,(
% 68.59/68.81 ![CLASS1: $i, CLASS2: $i] : (((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1)))) & (p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))),
% 68.59/68.81 inference(skolemize,[status(sab)],[13])).
% 68.59/68.81 tff(15,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))),
% 68.59/68.81 inference(modus_ponens,[status(thm)],[14, 7])).
% 68.59/68.81 tff(16,plain,
% 68.59/68.81 (![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))),
% 68.59/68.81 inference(modus_ponens,[status(thm)],[15, 5])).
% 68.59/68.81 tff(17,plain,
% 68.59/68.81 ((~![CLASS1: $i, CLASS2: $i] : (~((~((~p__d__disjoint(CLASS1, CLASS2)) | ![INST: $i] : ((~p__d__instance(INST, CLASS2)) | (~p__d__instance(INST, CLASS1))))) | (~(p__d__disjoint(CLASS1, CLASS2) | (~((~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS2)) | (~p__d__instance(tptp_fun_INST_0(CLASS2, CLASS1), CLASS1))))))))) | (~((~((~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage))))) | (~(p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage) | (~((~p__d__instance(tptp_fun_INST_0(c__ConstructedLanguage, c__NaturalLanguage), c__ConstructedLanguage)) | (~p__d__instance(tptp_fun_INST_0(c__ConstructedLanguage, c__NaturalLanguage), c__NaturalLanguage))))))))),
% 68.59/68.82 inference(quant_inst,[status(thm)],[])).
% 68.59/68.82 tff(18,plain,
% 68.59/68.82 (~((~((~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage))))) | (~(p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage) | (~((~p__d__instance(tptp_fun_INST_0(c__ConstructedLanguage, c__NaturalLanguage), c__ConstructedLanguage)) | (~p__d__instance(tptp_fun_INST_0(c__ConstructedLanguage, c__NaturalLanguage), c__NaturalLanguage)))))))),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[17, 16])).
% 68.59/68.82 tff(19,plain,
% 68.59/68.82 (((~((~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage))))) | (~(p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage) | (~((~p__d__instance(tptp_fun_INST_0(c__ConstructedLanguage, c__NaturalLanguage), c__ConstructedLanguage)) | (~p__d__instance(tptp_fun_INST_0(c__ConstructedLanguage, c__NaturalLanguage), c__NaturalLanguage))))))) | ((~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage))))),
% 68.59/68.82 inference(tautology,[status(thm)],[])).
% 68.59/68.82 tff(20,plain,
% 68.59/68.82 ((~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[19, 18])).
% 68.59/68.82 tff(21,plain,
% 68.59/68.82 (^[CLASS: $i, ROW1: $i, ROW2: $i] : refl((p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)) <=> (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)))),
% 68.59/68.82 inference(bind,[status(th)],[])).
% 68.59/68.82 tff(22,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)) <=> ![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2))),
% 68.59/68.82 inference(quant_intro,[status(thm)],[21])).
% 68.59/68.82 tff(23,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)) <=> ![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2))),
% 68.59/68.82 inference(rewrite,[status(thm)],[])).
% 68.59/68.82 tff(24,axiom,((((![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3) <=> ((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW2, ROW3)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i] : (p__d__disjointDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4) <=> (((((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW1, ROW4)) & p__d__disjoint(ROW2, ROW3)) & p__d__disjoint(ROW2, ROW4)) & p__d__disjoint(ROW3, ROW4)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i, ROW5: $i] : (p__d__disjointDecomposition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5) <=> (((((((((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW1, ROW4)) & p__d__disjoint(ROW1, ROW5)) & p__d__disjoint(ROW2, ROW3)) & p__d__disjoint(ROW2, ROW4)) & p__d__disjoint(ROW2, ROW5)) & p__d__disjoint(ROW3, ROW4)) & p__d__disjoint(ROW3, ROW5)) & p__d__disjoint(ROW4, ROW5)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i, ROW5: $i, ROW6: $i] : (p__d__disjointDecomposition7(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5, ROW6) <=> ((((((((((((((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW1, ROW4)) & p__d__disjoint(ROW1, ROW5)) & p__d__disjoint(ROW1, ROW6)) & p__d__disjoint(ROW2, ROW3)) & p__d__disjoint(ROW2, ROW4)) & p__d__disjoint(ROW2, ROW5)) & p__d__disjoint(ROW2, ROW6)) & p__d__disjoint(ROW3, ROW4)) & p__d__disjoint(ROW3, ROW5)) & p__d__disjoint(ROW3, ROW6)) & p__d__disjoint(ROW4, ROW5)) & p__d__disjoint(ROW4, ROW6)) & p__d__disjoint(ROW5, ROW6)))), file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax','predefinitionsA24')).
% 68.59/68.82 tff(25,plain,
% 68.59/68.82 (((![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3) <=> ((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW2, ROW3)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i] : (p__d__disjointDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4) <=> (((((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW1, ROW4)) & p__d__disjoint(ROW2, ROW3)) & p__d__disjoint(ROW2, ROW4)) & p__d__disjoint(ROW3, ROW4)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i, ROW5: $i] : (p__d__disjointDecomposition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5) <=> (((((((((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW1, ROW4)) & p__d__disjoint(ROW1, ROW5)) & p__d__disjoint(ROW2, ROW3)) & p__d__disjoint(ROW2, ROW4)) & p__d__disjoint(ROW2, ROW5)) & p__d__disjoint(ROW3, ROW4)) & p__d__disjoint(ROW3, ROW5)) & p__d__disjoint(ROW4, ROW5)))),
% 68.59/68.82 inference(and_elim,[status(thm)],[24])).
% 68.59/68.82 tff(26,plain,
% 68.59/68.82 ((![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3) <=> ((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW2, ROW3)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i] : (p__d__disjointDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4) <=> (((((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW1, ROW4)) & p__d__disjoint(ROW2, ROW3)) & p__d__disjoint(ROW2, ROW4)) & p__d__disjoint(ROW3, ROW4)))),
% 68.59/68.82 inference(and_elim,[status(thm)],[25])).
% 68.59/68.82 tff(27,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2)) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3) <=> ((p__d__disjoint(ROW1, ROW2) & p__d__disjoint(ROW1, ROW3)) & p__d__disjoint(ROW2, ROW3)))),
% 68.59/68.82 inference(and_elim,[status(thm)],[26])).
% 68.59/68.82 tff(28,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2))),
% 68.59/68.82 inference(and_elim,[status(thm)],[27])).
% 68.59/68.82 tff(29,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2))),
% 68.59/68.82 inference(modus_ponens,[status(thm)],[28, 23])).
% 68.59/68.82 tff(30,plain,(
% 68.59/68.82 ![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2))),
% 68.59/68.82 inference(skolemize,[status(sab)],[29])).
% 68.59/68.82 tff(31,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2))),
% 68.59/68.82 inference(modus_ponens,[status(thm)],[30, 22])).
% 68.59/68.82 tff(32,plain,
% 68.59/68.82 ((~![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__disjointDecomposition3(CLASS, ROW1, ROW2) <=> p__d__disjoint(ROW1, ROW2))) | (p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage) <=> p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage))),
% 68.59/68.82 inference(quant_inst,[status(thm)],[])).
% 68.59/68.82 tff(33,plain,
% 68.59/68.82 (p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage) <=> p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[32, 31])).
% 68.59/68.82 tff(34,plain,
% 68.59/68.82 (^[CLASS: $i, ROW1: $i, ROW2: $i] : refl((~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2))) <=> (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2))))),
% 68.59/68.82 inference(bind,[status(th)],[])).
% 68.59/68.82 tff(35,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2))) <=> ![CLASS: $i, ROW1: $i, ROW2: $i] : (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(quant_intro,[status(thm)],[34])).
% 68.59/68.82 tff(36,plain,
% 68.59/68.82 (^[CLASS: $i, ROW1: $i, ROW2: $i] : trans(trans(monotonicity(rewrite((p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2)) <=> (~((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))))), ((p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> (p__d__partition3(CLASS, ROW1, ROW2) <=> (~((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))))))), rewrite((p__d__partition3(CLASS, ROW1, ROW2) <=> (~((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))))) <=> (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))), ((p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2))))), rewrite((~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2))) <=> (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))), ((p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))))),
% 68.59/68.82 inference(bind,[status(th)],[])).
% 68.59/68.82 tff(37,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> ![CLASS: $i, ROW1: $i, ROW2: $i] : (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(quant_intro,[status(thm)],[36])).
% 68.59/68.82 tff(38,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> ![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(rewrite,[status(thm)],[])).
% 68.59/68.82 tff(39,axiom,((((![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__partition4(CLASS, ROW1, ROW2, ROW3) <=> (p__d__exhaustiveDecomposition4(CLASS, ROW1, ROW2, ROW3) & p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i] : (p__d__partition5(CLASS, ROW1, ROW2, ROW3, ROW4) <=> (p__d__exhaustiveDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4) & p__d__disjointDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i, ROW5: $i] : (p__d__partition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5) <=> (p__d__exhaustiveDecomposition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5) & p__d__disjointDecomposition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i, ROW5: $i, ROW6: $i] : (p__d__partition7(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5, ROW6) <=> (p__d__exhaustiveDecomposition7(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5, ROW6) & p__d__disjointDecomposition7(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5, ROW6)))), file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax','predefinitionsA18')).
% 68.59/68.82 tff(40,plain,
% 68.59/68.82 (((![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__partition4(CLASS, ROW1, ROW2, ROW3) <=> (p__d__exhaustiveDecomposition4(CLASS, ROW1, ROW2, ROW3) & p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i] : (p__d__partition5(CLASS, ROW1, ROW2, ROW3, ROW4) <=> (p__d__exhaustiveDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4) & p__d__disjointDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i, ROW5: $i] : (p__d__partition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5) <=> (p__d__exhaustiveDecomposition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5) & p__d__disjointDecomposition6(CLASS, ROW1, ROW2, ROW3, ROW4, ROW5)))),
% 68.59/68.82 inference(and_elim,[status(thm)],[39])).
% 68.59/68.82 tff(41,plain,
% 68.59/68.82 ((![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__partition4(CLASS, ROW1, ROW2, ROW3) <=> (p__d__exhaustiveDecomposition4(CLASS, ROW1, ROW2, ROW3) & p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3)))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i, ROW4: $i] : (p__d__partition5(CLASS, ROW1, ROW2, ROW3, ROW4) <=> (p__d__exhaustiveDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4) & p__d__disjointDecomposition5(CLASS, ROW1, ROW2, ROW3, ROW4)))),
% 68.59/68.82 inference(and_elim,[status(thm)],[40])).
% 68.59/68.82 tff(42,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) & ![CLASS: $i, ROW1: $i, ROW2: $i, ROW3: $i] : (p__d__partition4(CLASS, ROW1, ROW2, ROW3) <=> (p__d__exhaustiveDecomposition4(CLASS, ROW1, ROW2, ROW3) & p__d__disjointDecomposition4(CLASS, ROW1, ROW2, ROW3)))),
% 68.59/68.82 inference(and_elim,[status(thm)],[41])).
% 68.59/68.82 tff(43,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(and_elim,[status(thm)],[42])).
% 68.59/68.82 tff(44,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(modus_ponens,[status(thm)],[43, 38])).
% 68.59/68.82 tff(45,plain,(
% 68.59/68.82 ![CLASS: $i, ROW1: $i, ROW2: $i] : (p__d__partition3(CLASS, ROW1, ROW2) <=> (p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2) & p__d__disjointDecomposition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(skolemize,[status(sab)],[44])).
% 68.59/68.82 tff(46,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(modus_ponens,[status(thm)],[45, 37])).
% 68.59/68.82 tff(47,plain,
% 68.59/68.82 (![CLASS: $i, ROW1: $i, ROW2: $i] : (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))),
% 68.59/68.82 inference(modus_ponens,[status(thm)],[46, 35])).
% 68.59/68.82 tff(48,plain,
% 68.59/68.82 ((~![CLASS: $i, ROW1: $i, ROW2: $i] : (~(((~p__d__exhaustiveDecomposition3(CLASS, ROW1, ROW2)) | (~p__d__disjointDecomposition3(CLASS, ROW1, ROW2))) <=> p__d__partition3(CLASS, ROW1, ROW2)))) | (~(((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))) <=> p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)))),
% 68.59/68.82 inference(quant_inst,[status(thm)],[])).
% 68.59/68.82 tff(49,plain,
% 68.59/68.82 (~(((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))) <=> p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[48, 47])).
% 68.59/68.82 tff(50,plain,
% 68.59/68.82 (p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage) <=> p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(rewrite,[status(thm)],[])).
% 68.59/68.82 tff(51,axiom,(p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)), file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax','mergeA299')).
% 68.59/68.82 tff(52,plain,
% 68.59/68.82 (p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(modus_ponens,[status(thm)],[51, 50])).
% 68.59/68.82 tff(53,plain,
% 68.59/68.82 ((((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))) <=> p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)))) | (~p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))),
% 68.59/68.82 inference(tautology,[status(thm)],[])).
% 68.59/68.82 tff(54,plain,
% 68.59/68.82 ((((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))) <=> p__d__partition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))))),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[53, 52])).
% 68.59/68.82 tff(55,plain,
% 68.59/68.82 (~((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)))),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[54, 49])).
% 68.59/68.82 tff(56,plain,
% 68.59/68.82 (((~p__d__exhaustiveDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage))) | p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(tautology,[status(thm)],[])).
% 68.59/68.82 tff(57,plain,
% 68.59/68.82 (p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[56, 55])).
% 68.59/68.82 tff(58,plain,
% 68.59/68.82 ((~(p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage) <=> p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage))) | (~p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage)) | p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(tautology,[status(thm)],[])).
% 68.59/68.82 tff(59,plain,
% 68.59/68.82 ((~(p__d__disjointDecomposition3(c__HumanLanguage, c__NaturalLanguage, c__ConstructedLanguage) <=> p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage))) | p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[58, 57])).
% 68.59/68.82 tff(60,plain,
% 68.59/68.82 (p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)),
% 68.59/68.82 inference(unit_resolution,[status(thm)],[59, 33])).
% 68.59/68.82 tff(61,plain,
% 69.01/69.27 ((~((~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage))))) | (~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))),
% 69.01/69.27 inference(tautology,[status(thm)],[])).
% 69.01/69.27 tff(62,plain,
% 69.01/69.27 ((~((~p__d__disjoint(c__NaturalLanguage, c__ConstructedLanguage)) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage))))) | ![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))),
% 69.01/69.27 inference(unit_resolution,[status(thm)],[61, 60])).
% 69.01/69.27 tff(63,plain,
% 69.01/69.27 (![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))),
% 69.01/69.27 inference(unit_resolution,[status(thm)],[62, 20])).
% 69.01/69.27 tff(64,plain,
% 69.01/69.27 ((~![Y: $i] : ((~p__d__instance(Y, c__ConstructedLanguage)) | (~p__d__instance(Y, c__NaturalLanguage)))) <=> (~![Y: $i] : ((~p__d__instance(Y, c__ConstructedLanguage)) | (~p__d__instance(Y, c__NaturalLanguage))))),
% 69.01/69.28 inference(rewrite,[status(thm)],[])).
% 69.01/69.28 tff(65,plain,
% 69.01/69.28 ((~![X: $i, Y: $i] : ((p__d__instance(X, c__ConstructedLanguage) & p__d__instance(Y, c__NaturalLanguage)) => (~(X = Y)))) <=> (~![Y: $i] : ((~p__d__instance(Y, c__ConstructedLanguage)) | (~p__d__instance(Y, c__NaturalLanguage))))),
% 69.01/69.28 inference(rewrite,[status(thm)],[])).
% 69.01/69.28 tff(66,axiom,(~![X: $i, Y: $i] : ((p__d__instance(X, c__ConstructedLanguage) & p__d__instance(Y, c__NaturalLanguage)) => (~(X = Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','antonymPattern10010')).
% 69.01/69.28 tff(67,plain,
% 69.01/69.28 (~![Y: $i] : ((~p__d__instance(Y, c__ConstructedLanguage)) | (~p__d__instance(Y, c__NaturalLanguage)))),
% 69.01/69.28 inference(modus_ponens,[status(thm)],[66, 65])).
% 69.01/69.28 tff(68,plain,
% 69.01/69.28 (~![Y: $i] : ((~p__d__instance(Y, c__ConstructedLanguage)) | (~p__d__instance(Y, c__NaturalLanguage)))),
% 69.01/69.28 inference(modus_ponens,[status(thm)],[67, 64])).
% 69.01/69.28 tff(69,plain,
% 69.01/69.28 (~![Y: $i] : ((~p__d__instance(Y, c__ConstructedLanguage)) | (~p__d__instance(Y, c__NaturalLanguage)))),
% 69.01/69.28 inference(modus_ponens,[status(thm)],[68, 64])).
% 69.01/69.28 tff(70,plain,
% 69.01/69.28 (~![Y: $i] : ((~p__d__instance(Y, c__ConstructedLanguage)) | (~p__d__instance(Y, c__NaturalLanguage)))),
% 69.01/69.28 inference(modus_ponens,[status(thm)],[69, 64])).
% 69.01/69.28 tff(71,plain,(
% 69.01/69.28 ~((~p__d__instance(Y!1176, c__ConstructedLanguage)) | (~p__d__instance(Y!1176, c__NaturalLanguage)))),
% 69.01/69.28 inference(skolemize,[status(sab)],[70])).
% 69.01/69.28 tff(72,plain,
% 69.01/69.28 (p__d__instance(Y!1176, c__NaturalLanguage)),
% 69.01/69.28 inference(or_elim,[status(thm)],[71])).
% 69.01/69.28 tff(73,plain,
% 69.01/69.28 (p__d__instance(Y!1176, c__ConstructedLanguage)),
% 69.01/69.28 inference(or_elim,[status(thm)],[71])).
% 69.01/69.28 tff(74,plain,
% 69.01/69.28 (((~![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))) | ((~p__d__instance(Y!1176, c__ConstructedLanguage)) | (~p__d__instance(Y!1176, c__NaturalLanguage)))) <=> ((~![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))) | (~p__d__instance(Y!1176, c__ConstructedLanguage)) | (~p__d__instance(Y!1176, c__NaturalLanguage)))),
% 69.01/69.28 inference(rewrite,[status(thm)],[])).
% 69.01/69.28 tff(75,plain,
% 69.01/69.28 ((~![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))) | ((~p__d__instance(Y!1176, c__ConstructedLanguage)) | (~p__d__instance(Y!1176, c__NaturalLanguage)))),
% 69.01/69.28 inference(quant_inst,[status(thm)],[])).
% 69.01/69.28 tff(76,plain,
% 69.01/69.28 ((~![INST: $i] : ((~p__d__instance(INST, c__ConstructedLanguage)) | (~p__d__instance(INST, c__NaturalLanguage)))) | (~p__d__instance(Y!1176, c__ConstructedLanguage)) | (~p__d__instance(Y!1176, c__NaturalLanguage))),
% 69.01/69.28 inference(modus_ponens,[status(thm)],[75, 74])).
% 69.01/69.28 tff(77,plain,
% 69.01/69.28 ($false),
% 69.01/69.28 inference(unit_resolution,[status(thm)],[76, 73, 72, 63])).
% 69.01/69.28 % SZS output end Proof
% 69.01/69.28 % E exiting
%------------------------------------------------------------------------------