TSTP Solution File: SEU975^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU975^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n005.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 : 600s
% DateTime : Tue Jul 19 14:11:06 EDT 2022
% Result : Theorem 3.77s 3.95s
% Output : Proof 3.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU975^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 02:51:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.77/3.95 % SZS status Theorem
% 3.77/3.95 % Mode: mode506
% 3.77/3.95 % Inferences: 19628
% 3.77/3.95 % SZS output start Proof
% 3.77/3.95 thf(cPU_LEM2B_pme,conjecture,((~(((~(((~(((~(((~((((cL @ cZ) = cZ) => (~(((cR @ cZ) = cZ)))))) => (~((![X1:a]:(![X2:a]:((cL @ ((cP @ X1) @ X2)) = X1)))))))) => (~((![X1:a]:(![X2:a]:((cR @ ((cP @ X1) @ X2)) = X2)))))))) => (~((![X1:a]:((~((X1 = cZ))) = (X1 = ((cP @ (cL @ X1)) @ (cR @ X1)))))))))) => (~((![X1:a>$o]:((![X2:a]:(![X3:a]:((X1 @ ((cP @ X2) @ X3)) => (~(((~((((X2 = cZ) = (X3 = cZ)) => (~((X1 @ ((cP @ (cL @ X2)) @ (cL @ X3)))))))) => (~((X1 @ ((cP @ (cR @ X2)) @ (cR @ X3))))))))))) => (![X2:a]:(![X3:a]:((X1 @ ((cP @ X2) @ X3)) => (X2 = X3))))))))))) => (![X1:a]:(![X2:a]:((~((![X3:a>$o]:((X3 @ ((cP @ X1) @ X2)) => (~((![X4:a]:(![X5:a]:((X3 @ ((cP @ X4) @ X5)) => (~(((~((((X5 = cZ) => (X4 = cZ)) => (~((X3 @ ((cP @ (cL @ X4)) @ (cL @ X5)))))))) => (~((X3 @ ((cP @ (cR @ X4)) @ (cR @ X5))))))))))))))))) => (~((![X3:a>$o]:((X3 @ ((cP @ (cL @ X1)) @ (cL @ X2))) => (~((![X4:a]:(![X5:a]:((X3 @ ((cP @ X4) @ X5)) => (~(((~((((X5 = cZ) => (X4 = cZ)) => (~((X3 @ ((cP @ (cL @ X4)) @ (cL @ X5)))))))) => (~((X3 @ ((cP @ (cR @ X4)) @ (cR @ X5)))))))))))))))))))))).
% 3.77/3.95 thf(h0,negated_conjecture,(~(((~(((~(((~(((~(((~((((cL @ cZ) = cZ) => (~(((cR @ cZ) = cZ)))))) => (~((![X1:a]:(![X2:a]:((cL @ ((cP @ X1) @ X2)) = X1)))))))) => (~((![X1:a]:(![X2:a]:((cR @ ((cP @ X1) @ X2)) = X2)))))))) => (~((![X1:a]:((~((X1 = cZ))) = (X1 = ((cP @ (cL @ X1)) @ (cR @ X1)))))))))) => (~((![X1:a>$o]:((![X2:a]:(![X3:a]:((X1 @ ((cP @ X2) @ X3)) => (~(((~((((X2 = cZ) = (X3 = cZ)) => (~((X1 @ ((cP @ (cL @ X2)) @ (cL @ X3)))))))) => (~((X1 @ ((cP @ (cR @ X2)) @ (cR @ X3))))))))))) => (![X2:a]:(![X3:a]:((X1 @ ((cP @ X2) @ X3)) => (X2 = X3))))))))))) => (![X1:a]:(![X2:a]:((~((![X3:a>$o]:((X3 @ ((cP @ X1) @ X2)) => (~((![X4:a]:(![X5:a]:((X3 @ ((cP @ X4) @ X5)) => (~(((~((((X5 = cZ) => (X4 = cZ)) => (~((X3 @ ((cP @ (cL @ X4)) @ (cL @ X5)))))))) => (~((X3 @ ((cP @ (cR @ X4)) @ (cR @ X5))))))))))))))))) => (~((![X3:a>$o]:((X3 @ ((cP @ (cL @ X1)) @ (cL @ X2))) => (~((![X4:a]:(![X5:a]:((X3 @ ((cP @ X4) @ X5)) => (~(((~((((X5 = cZ) => (X4 = cZ)) => (~((X3 @ ((cP @ (cL @ X4)) @ (cL @ X5)))))))) => (~((X3 @ ((cP @ (cR @ X4)) @ (cR @ X5))))))))))))))))))))))),inference(assume_negation,[status(cth)],[cPU_LEM2B_pme])).
% 3.77/3.95 thf(ax998, axiom, (p1|~(p3)), file('<stdin>', ax998)).
% 3.77/3.95 thf(ax1000, axiom, ~(p1), file('<stdin>', ax1000)).
% 3.77/3.95 thf(ax997, axiom, (p3|~(p4)), file('<stdin>', ax997)).
% 3.77/3.95 thf(ax996, axiom, (p4|~(p5)), file('<stdin>', ax996)).
% 3.77/3.95 thf(ax984, axiom, (~(p7)|p17), file('<stdin>', ax984)).
% 3.77/3.95 thf(ax994, axiom, (p5|p7), file('<stdin>', ax994)).
% 3.77/3.95 thf(ax822, axiom, (~(p17)|~(p187)|~(p10)), file('<stdin>', ax822)).
% 3.77/3.95 thf(nax189, axiom, (p189<=(~((((f__1)=(fcZ)=>(f__0)=(fcZ))=>~(f__2 @ (fcP @ (fcL @ f__0) @ (fcL @ f__1)))))=>~(f__2 @ (fcP @ (fcR @ f__0) @ (fcR @ f__1))))), file('<stdin>', nax189)).
% 3.77/3.95 thf(nax187, axiom, (p187<=f__2 @ (fcP @ (fcL @ f__0) @ (fcL @ f__1))), file('<stdin>', nax187)).
% 3.77/3.95 thf(ax908, axiom, (~(p15)|p101), file('<stdin>', ax908)).
% 3.77/3.95 thf(ax986, axiom, (~(p10)|p15), file('<stdin>', ax986)).
% 3.77/3.95 thf(ax993, axiom, (p6|~(p8)), file('<stdin>', ax993)).
% 3.77/3.95 thf(ax820, axiom, (~(p101)|~(p9)|~(p189)), file('<stdin>', ax820)).
% 3.77/3.95 thf(ax995, axiom, (p5|~(p6)), file('<stdin>', ax995)).
% 3.77/3.95 thf(ax991, axiom, (p8|p10), file('<stdin>', ax991)).
% 3.77/3.95 thf(ax992, axiom, (p8|p9), file('<stdin>', ax992)).
% 3.77/3.95 thf(c_0_16, plain, (p1|~p3), inference(fof_simplification,[status(thm)],[ax998])).
% 3.77/3.95 thf(c_0_17, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1000])).
% 3.77/3.95 thf(c_0_18, plain, (p3|~p4), inference(fof_simplification,[status(thm)],[ax997])).
% 3.77/3.95 thf(c_0_19, plain, (p1|~p3), inference(split_conjunct,[status(thm)],[c_0_16])).
% 3.77/3.95 thf(c_0_20, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_17])).
% 3.77/3.95 thf(c_0_21, plain, (p4|~p5), inference(fof_simplification,[status(thm)],[ax996])).
% 3.77/3.95 thf(c_0_22, plain, (p3|~p4), inference(split_conjunct,[status(thm)],[c_0_18])).
% 3.77/3.95 thf(c_0_23, plain, ~p3, inference(sr,[status(thm)],[c_0_19, c_0_20])).
% 3.77/3.95 thf(c_0_24, plain, (p4|~p5), inference(split_conjunct,[status(thm)],[c_0_21])).
% 3.77/3.95 thf(c_0_25, plain, ~p4, inference(sr,[status(thm)],[c_0_22, c_0_23])).
% 3.77/3.95 thf(c_0_26, plain, (~p7|p17), inference(fof_simplification,[status(thm)],[ax984])).
% 3.77/3.95 thf(c_0_27, plain, (p5|p7), inference(split_conjunct,[status(thm)],[ax994])).
% 3.77/3.95 thf(c_0_28, plain, ~p5, inference(sr,[status(thm)],[c_0_24, c_0_25])).
% 3.77/3.95 thf(c_0_29, plain, (~p17|~p187|~p10), inference(fof_simplification,[status(thm)],[ax822])).
% 3.77/3.95 thf(c_0_30, plain, (p17|~p7), inference(split_conjunct,[status(thm)],[c_0_26])).
% 3.77/3.95 thf(c_0_31, plain, p7, inference(sr,[status(thm)],[c_0_27, c_0_28])).
% 3.77/3.95 thf(c_0_32, plain, ((((f__1)!=(fcZ)|(f__0)=(fcZ)|p189)&(f__2 @ (fcP @ (fcL @ f__0) @ (fcL @ f__1))|p189))&(f__2 @ (fcP @ (fcR @ f__0) @ (fcR @ f__1))|p189)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax189])])])).
% 3.77/3.95 thf(c_0_33, plain, (~f__2 @ (fcP @ (fcL @ f__0) @ (fcL @ f__1))|p187), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax187])])).
% 3.77/3.95 thf(c_0_34, plain, (~p15|p101), inference(fof_simplification,[status(thm)],[ax908])).
% 3.77/3.95 thf(c_0_35, plain, (~p17|~p187|~p10), inference(split_conjunct,[status(thm)],[c_0_29])).
% 3.77/3.95 thf(c_0_36, plain, p17, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 3.77/3.95 thf(c_0_37, plain, (~p10|p15), inference(fof_simplification,[status(thm)],[ax986])).
% 3.77/3.95 thf(c_0_38, plain, (p6|~p8), inference(fof_simplification,[status(thm)],[ax993])).
% 3.77/3.95 thf(c_0_39, plain, (~p101|~p9|~p189), inference(fof_simplification,[status(thm)],[ax820])).
% 3.77/3.95 thf(c_0_40, plain, (p5|~p6), inference(fof_simplification,[status(thm)],[ax995])).
% 3.77/3.95 thf(c_0_41, plain, (f__2 @ (fcP @ (fcL @ f__0) @ (fcL @ f__1))|p189), inference(split_conjunct,[status(thm)],[c_0_32])).
% 3.77/3.95 thf(c_0_42, plain, (p187|~f__2 @ (fcP @ (fcL @ f__0) @ (fcL @ f__1))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 3.77/3.95 thf(c_0_43, plain, (p101|~p15), inference(split_conjunct,[status(thm)],[c_0_34])).
% 3.77/3.95 thf(c_0_44, plain, (~p10|~p187), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 3.77/3.95 thf(c_0_45, plain, (p15|~p10), inference(split_conjunct,[status(thm)],[c_0_37])).
% 3.77/3.95 thf(c_0_46, plain, (p6|~p8), inference(split_conjunct,[status(thm)],[c_0_38])).
% 3.77/3.95 thf(c_0_47, plain, (~p101|~p9|~p189), inference(split_conjunct,[status(thm)],[c_0_39])).
% 3.77/3.95 thf(c_0_48, plain, (p8|p10), inference(split_conjunct,[status(thm)],[ax991])).
% 3.77/3.95 thf(c_0_49, plain, (p8|p9), inference(split_conjunct,[status(thm)],[ax992])).
% 3.77/3.95 thf(c_0_50, plain, (p5|~p6), inference(split_conjunct,[status(thm)],[c_0_40])).
% 3.77/3.95 thf(c_0_51, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_41, c_0_42, c_0_43, c_0_44, c_0_45, c_0_46, c_0_47, c_0_48, c_0_49, c_0_50, c_0_28]), ['proof']).
% 3.77/3.95 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 3.77/3.95 thf(0,theorem,((~(((~(((~(((~(((~((((cL @ cZ) = cZ) => (~(((cR @ cZ) = cZ)))))) => (~((![X1:a]:(![X2:a]:((cL @ ((cP @ X1) @ X2)) = X1)))))))) => (~((![X1:a]:(![X2:a]:((cR @ ((cP @ X1) @ X2)) = X2)))))))) => (~((![X1:a]:((~((X1 = cZ))) = (X1 = ((cP @ (cL @ X1)) @ (cR @ X1)))))))))) => (~((![X1:a>$o]:((![X2:a]:(![X3:a]:((X1 @ ((cP @ X2) @ X3)) => (~(((~((((X2 = cZ) = (X3 = cZ)) => (~((X1 @ ((cP @ (cL @ X2)) @ (cL @ X3)))))))) => (~((X1 @ ((cP @ (cR @ X2)) @ (cR @ X3))))))))))) => (![X2:a]:(![X3:a]:((X1 @ ((cP @ X2) @ X3)) => (X2 = X3))))))))))) => (![X1:a]:(![X2:a]:((~((![X3:a>$o]:((X3 @ ((cP @ X1) @ X2)) => (~((![X4:a]:(![X5:a]:((X3 @ ((cP @ X4) @ X5)) => (~(((~((((X5 = cZ) => (X4 = cZ)) => (~((X3 @ ((cP @ (cL @ X4)) @ (cL @ X5)))))))) => (~((X3 @ ((cP @ (cR @ X4)) @ (cR @ X5))))))))))))))))) => (~((![X3:a>$o]:((X3 @ ((cP @ (cL @ X1)) @ (cL @ X2))) => (~((![X4:a]:(![X5:a]:((X3 @ ((cP @ X4) @ X5)) => (~(((~((((X5 = cZ) => (X4 = cZ)) => (~((X3 @ ((cP @ (cL @ X4)) @ (cL @ X5)))))))) => (~((X3 @ ((cP @ (cR @ X4)) @ (cR @ X5))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 3.77/3.95 % SZS output end Proof
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