TSTP Solution File: SYO269^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO269^5 : 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 : n010.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 : Thu Jul 21 19:31:11 EDT 2022
% Result : Theorem 44.69s 44.70s
% Output : Proof 44.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO269^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n010.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 : Sat Jul 9 00:38:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 44.69/44.70 % SZS status Theorem
% 44.69/44.70 % Mode: mode459
% 44.69/44.70 % Inferences: 2245
% 44.69/44.70 % SZS output start Proof
% 44.69/44.70 thf(cTHM112D,conjecture,(![X1:$i>$o]:(~((![X2:($i>$i)>$i>$o]:(![X3:($i>$i)>$i>$o]:((![X4:$i]:((~(((X2 @ (^[X5:$i]:X5)) @ X4))) => ((X3 @ (^[X5:$i]:X5)) @ X4))) => (~((![X4:$i>$i]:(![X5:$i>$i]:((~(((~(((![X6:$i]:((~(((X2 @ X4) @ X6))) => ((X3 @ X4) @ X6))) => (~((![X6:$i]:((~(((X2 @ X4) @ X6))) => ((X3 @ X4) @ X6)))))))) => (~((![X6:$i]:((~(((X2 @ X5) @ X6))) => ((X3 @ X5) @ X6)))))))) => (~(((![X6:$i]:((~(((X2 @ (^[X7:$i]:(X4 @ (X5 @ X7)))) @ X6))) => ((X3 @ (^[X7:$i]:(X4 @ (X5 @ X7)))) @ X6))) => (~((![X6:$i]:((X1 @ X6) => (X1 @ (X4 @ X6))))))))))))))))))))).
% 44.69/44.70 thf(h0,negated_conjecture,(~((![X1:$i>$o]:(~((![X2:($i>$i)>$i>$o]:(![X3:($i>$i)>$i>$o]:((![X4:$i]:((~(((X2 @ (^[X5:$i]:X5)) @ X4))) => ((X3 @ (^[X5:$i]:X5)) @ X4))) => (~((![X4:$i>$i]:(![X5:$i>$i]:((~(((~(((![X6:$i]:((~(((X2 @ X4) @ X6))) => ((X3 @ X4) @ X6))) => (~((![X6:$i]:((~(((X2 @ X4) @ X6))) => ((X3 @ X4) @ X6)))))))) => (~((![X6:$i]:((~(((X2 @ X5) @ X6))) => ((X3 @ X5) @ X6)))))))) => (~(((![X6:$i]:((~(((X2 @ (^[X7:$i]:(X4 @ (X5 @ X7)))) @ X6))) => ((X3 @ (^[X7:$i]:(X4 @ (X5 @ X7)))) @ X6))) => (~((![X6:$i]:((X1 @ X6) => (X1 @ (X4 @ X6)))))))))))))))))))))),inference(assume_negation,[status(cth)],[cTHM112D])).
% 44.69/44.70 thf(ax4439, axiom, ~(p1), file('<stdin>', ax4439)).
% 44.69/44.70 thf(ax4374, axiom, (~(p2)|p66), file('<stdin>', ax4374)).
% 44.69/44.70 thf(ax4438, axiom, (p1|p2), file('<stdin>', ax4438)).
% 44.69/44.70 thf(pax4119, axiom, (p4119=>(![X28:$i]:(~(~$true)=>(X28)=(X28))=>~(![X29:$i > $i, X4:$i > $i]:(~((~((![X5:$i]:(~(~$true)=>(X5)=(X29 @ X5))=>~(![X5:$i]:(~(~$true)=>(X5)=(X29 @ X5)))))=>~(![X5:$i]:(~(~$true)=>(X5)=(X4 @ X5)))))=>~((![X5:$i]:(~(~$true)=>(X5)=(X29 @ (X4 @ X5)))=>~(![X5:$i]:(f__0 @ X5=>f__0 @ (X29 @ X5))))))))), file('<stdin>', pax4119)).
% 44.69/44.70 thf(ax321, axiom, (~(p66)|p4119), file('<stdin>', ax321)).
% 44.69/44.70 thf(c_0_5, plain, ~p1, inference(fof_simplification,[status(thm)],[ax4439])).
% 44.69/44.70 thf(c_0_6, plain, (~p2|p66), inference(fof_simplification,[status(thm)],[ax4374])).
% 44.69/44.70 thf(c_0_7, plain, (p1|p2), inference(split_conjunct,[status(thm)],[ax4438])).
% 44.69/44.70 thf(c_0_8, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_5])).
% 44.69/44.70 thf(c_0_9, plain, ![X349:$i, X350:$i, X351:$i]:(((((X349)=(esk49_0 @ X349)|(esk48_0)!=(esk48_0)|~p4119)&((X350)=(esk49_0 @ X350)|(esk48_0)!=(esk48_0)|~p4119))&((X351)=(esk50_0 @ X351)|(esk48_0)!=(esk48_0)|~p4119))&((f__0 @ esk52_0|(esk51_0)!=(esk49_0 @ (esk50_0 @ esk51_0))|(esk48_0)!=(esk48_0)|~p4119)&(~f__0 @ (esk49_0 @ esk52_0)|(esk51_0)!=(esk49_0 @ (esk50_0 @ esk51_0))|(esk48_0)!=(esk48_0)|~p4119))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax4119])])])])])])).
% 44.69/44.70 thf(c_0_10, plain, (~p66|p4119), inference(fof_simplification,[status(thm)],[ax321])).
% 44.69/44.70 thf(c_0_11, plain, (p66|~p2), inference(split_conjunct,[status(thm)],[c_0_6])).
% 44.69/44.70 thf(c_0_12, plain, p2, inference(sr,[status(thm)],[c_0_7, c_0_8])).
% 44.69/44.70 thf(c_0_13, plain, ![X1:$i]:((X1)=(esk50_0 @ X1)|(esk48_0)!=(esk48_0)|~p4119), inference(split_conjunct,[status(thm)],[c_0_9])).
% 44.69/44.70 thf(c_0_14, plain, (p4119|~p66), inference(split_conjunct,[status(thm)],[c_0_10])).
% 44.69/44.70 thf(c_0_15, plain, p66, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 44.69/44.70 thf(c_0_16, plain, ![X1:$i]:((X1)=(esk49_0 @ X1)|(esk48_0)!=(esk48_0)|~p4119), inference(split_conjunct,[status(thm)],[c_0_9])).
% 44.69/44.70 thf(c_0_17, plain, (~f__0 @ (esk49_0 @ esk52_0)|(esk51_0)!=(esk49_0 @ (esk50_0 @ esk51_0))|(esk48_0)!=(esk48_0)|~p4119), inference(split_conjunct,[status(thm)],[c_0_9])).
% 44.69/44.70 thf(c_0_18, plain, ![X1:$i]:((X1)=(esk50_0 @ X1)|~p4119), inference(cn,[status(thm)],[c_0_13])).
% 44.69/44.70 thf(c_0_19, plain, p4119, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 44.69/44.70 thf(c_0_20, plain, ![X1:$i]:((X1)=(esk49_0 @ X1)|~p4119), inference(cn,[status(thm)],[c_0_16])).
% 44.69/44.70 thf(c_0_21, plain, (f__0 @ esk52_0|(esk51_0)!=(esk49_0 @ (esk50_0 @ esk51_0))|(esk48_0)!=(esk48_0)|~p4119), inference(split_conjunct,[status(thm)],[c_0_9])).
% 44.69/44.70 thf(c_0_22, plain, ((esk51_0)!=(esk49_0 @ (esk50_0 @ esk51_0))|~p4119|~f__0 @ (esk49_0 @ esk52_0)), inference(cn,[status(thm)],[c_0_17])).
% 44.69/44.70 thf(c_0_23, plain, ![X1:$i]:(esk50_0 @ X1)=(X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 44.69/44.70 thf(c_0_24, plain, ![X1:$i]:(esk49_0 @ X1)=(X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_19])])).
% 44.69/44.70 thf(c_0_25, plain, (f__0 @ esk52_0|(esk51_0)!=(esk49_0 @ (esk50_0 @ esk51_0))|~p4119), inference(cn,[status(thm)],[c_0_21])).
% 44.69/44.70 thf(c_0_26, plain, ~f__0 @ esk52_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_19]), c_0_24])])).
% 44.69/44.70 thf(c_0_27, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_23]), c_0_24]), c_0_19])]), c_0_26]), ['proof']).
% 44.69/44.70 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 44.69/44.70 thf(0,theorem,(![X1:$i>$o]:(~((![X2:($i>$i)>$i>$o]:(![X3:($i>$i)>$i>$o]:((![X4:$i]:((~(((X2 @ (^[X5:$i]:X5)) @ X4))) => ((X3 @ (^[X5:$i]:X5)) @ X4))) => (~((![X4:$i>$i]:(![X5:$i>$i]:((~(((~(((![X6:$i]:((~(((X2 @ X4) @ X6))) => ((X3 @ X4) @ X6))) => (~((![X6:$i]:((~(((X2 @ X4) @ X6))) => ((X3 @ X4) @ X6)))))))) => (~((![X6:$i]:((~(((X2 @ X5) @ X6))) => ((X3 @ X5) @ X6)))))))) => (~(((![X6:$i]:((~(((X2 @ (^[X7:$i]:(X4 @ (X5 @ X7)))) @ X6))) => ((X3 @ (^[X7:$i]:(X4 @ (X5 @ X7)))) @ X6))) => (~((![X6:$i]:((X1 @ X6) => (X1 @ (X4 @ X6)))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 44.69/44.70 % SZS output end Proof
%------------------------------------------------------------------------------