TSTP Solution File: SYO222^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO222^5 : 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 : n022.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 19:30:57 EDT 2022
% Result : Theorem 44.05s 44.19s
% Output : Proof 44.05s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO222^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n022.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 : 600
% 0.12/0.33 % DateTime : Sat Jul 9 10:34:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 44.05/44.19 % SZS status Theorem
% 44.05/44.19 % Mode: mode459
% 44.05/44.19 % Inferences: 3041
% 44.05/44.19 % SZS output start Proof
% 44.05/44.19 thf(cTHM115A,conjecture,(~((![X1:$i>$o]:((![X2:$i]:((X1 @ (f @ X2)) => (cP @ X2))) => (~(((~(((cP @ a) => (~((![X2:$i]:(![X3:$i]:(((f @ X2) = (f @ X3)) => (X2 = X3))))))))) => (~((![X2:$i]:(~((X1 @ X2)))))))))))))).
% 44.05/44.19 thf(h0,negated_conjecture,(![X1:$i>$o]:((![X2:$i]:((X1 @ (f @ X2)) => (cP @ X2))) => (~(((~(((cP @ a) => (~((![X2:$i]:(![X3:$i]:(((f @ X2) = (f @ X3)) => (X2 = X3))))))))) => (~((![X2:$i]:(~((X1 @ X2))))))))))),inference(assume_negation,[status(cth)],[cTHM115A])).
% 44.05/44.19 thf(ax60, axiom, (~(p1)|p239), file('<stdin>', ax60)).
% 44.05/44.19 thf(ax265, axiom, (~(p1)|p34), file('<stdin>', ax265)).
% 44.05/44.19 thf(pax239, axiom, (p239=>(![X1:$i]:(~$true=>fcP @ X1)=>~((~((fcP @ fa=>~(![X1:$i, X2:$i]:((ff @ X1)=(ff @ X2)=>(X1)=(X2)))))=>~(![X1:$i]:~(~$true)))))), file('<stdin>', pax239)).
% 44.05/44.19 thf(ax298, axiom, p1, file('<stdin>', ax298)).
% 44.05/44.19 thf(pax34, axiom, (p34=>(![X1:$i]:((ff @ fa)=(ff @ X1)=>fcP @ X1)=>~((~((fcP @ fa=>~(![X1:$i, X2:$i]:((ff @ X1)=(ff @ X2)=>(X1)=(X2)))))=>~(![X1:$i]:~((ff @ fa)=(X1))))))), file('<stdin>', pax34)).
% 44.05/44.19 thf(pax32, axiom, (p32=>(![X1:$i]:(fcP @ fa=>fcP @ X1)=>~((~((fcP @ fa=>~(![X1:$i, X2:$i]:((ff @ X1)=(ff @ X2)=>(X1)=(X2)))))=>~(![X1:$i]:~(fcP @ fa)))))), file('<stdin>', pax32)).
% 44.05/44.19 thf(ax267, axiom, (~(p1)|p32), file('<stdin>', ax267)).
% 44.05/44.19 thf(c_0_7, plain, (~p1|p239), inference(fof_simplification,[status(thm)],[ax60])).
% 44.05/44.19 thf(c_0_8, plain, (~p1|p34), inference(fof_simplification,[status(thm)],[ax265])).
% 44.05/44.19 thf(c_0_9, plain, ![X57:$i, X58:$i]:((fcP @ fa|~p239)&((ff @ X57)!=(ff @ X58)|(X57)=(X58)|~p239)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax239])])])])])).
% 44.05/44.19 thf(c_0_10, plain, (p239|~p1), inference(split_conjunct,[status(thm)],[c_0_7])).
% 44.05/44.19 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax298])).
% 44.05/44.19 thf(c_0_12, plain, ![X284:$i, X285:$i, X286:$i]:((((fcP @ fa|(ff @ fa)=(ff @ esk141_0)|~p34)&((ff @ X284)!=(ff @ X285)|(X284)=(X285)|(ff @ fa)=(ff @ esk141_0)|~p34))&((ff @ fa)!=(X286)|(ff @ fa)=(ff @ esk141_0)|~p34))&(((fcP @ fa|~fcP @ esk141_0|~p34)&((ff @ X284)!=(ff @ X285)|(X284)=(X285)|~fcP @ esk141_0|~p34))&((ff @ fa)!=(X286)|~fcP @ esk141_0|~p34))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax34])])])])])])).
% 44.05/44.19 thf(c_0_13, plain, (p34|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 44.05/44.19 thf(c_0_14, plain, ![X1:$i, X2:$i]:((X1)=(X2)|(ff @ X1)!=(ff @ X2)|~p239), inference(split_conjunct,[status(thm)],[c_0_9])).
% 44.05/44.19 thf(c_0_15, plain, p239, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 44.05/44.19 thf(c_0_16, plain, ![X1:$i]:((ff @ fa)=(ff @ esk141_0)|(ff @ fa)!=(X1)|~p34), inference(split_conjunct,[status(thm)],[c_0_12])).
% 44.05/44.19 thf(c_0_17, plain, p34, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_11])])).
% 44.05/44.19 thf(c_0_18, plain, ![X298:$i, X299:$i]:((((fcP @ fa|fcP @ fa|~p32)&((ff @ X298)!=(ff @ X299)|(X298)=(X299)|fcP @ fa|~p32))&(~fcP @ fa|fcP @ fa|~p32))&(((fcP @ fa|~fcP @ esk148_0|~p32)&((ff @ X298)!=(ff @ X299)|(X298)=(X299)|~fcP @ esk148_0|~p32))&(~fcP @ fa|~fcP @ esk148_0|~p32))), 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)],[pax32])])])])])])).
% 44.05/44.19 thf(c_0_19, plain, (~p1|p32), inference(fof_simplification,[status(thm)],[ax267])).
% 44.05/44.19 thf(c_0_20, plain, ![X1:$i, X2:$i]:((X1)=(X2)|(ff @ X1)!=(ff @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 44.05/44.19 thf(c_0_21, plain, (ff @ esk141_0)=(ff @ fa), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])])).
% 44.05/44.19 thf(c_0_22, plain, (fcP @ fa|fcP @ fa|~p32), inference(split_conjunct,[status(thm)],[c_0_18])).
% 44.05/44.19 thf(c_0_23, plain, (p32|~p1), inference(split_conjunct,[status(thm)],[c_0_19])).
% 44.05/44.19 thf(c_0_24, plain, ![X1:$i]:((ff @ fa)!=(X1)|~fcP @ esk141_0|~p34), inference(split_conjunct,[status(thm)],[c_0_12])).
% 44.05/44.19 thf(c_0_25, plain, ![X1:$i]:((X1)=(esk141_0)|(ff @ X1)!=(ff @ fa)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 44.05/44.19 thf(c_0_26, plain, (fcP @ fa|~p32), inference(cn,[status(thm)],[c_0_22])).
% 44.05/44.19 thf(c_0_27, plain, p32, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_11])])).
% 44.05/44.19 thf(c_0_28, plain, ~fcP @ esk141_0, inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_17])])])).
% 44.05/44.19 thf(c_0_29, plain, (esk141_0)=(fa), inference(er,[status(thm)],[c_0_25])).
% 44.05/44.19 thf(c_0_30, plain, fcP @ fa, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 44.05/44.19 thf(c_0_31, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29]), c_0_30])]), ['proof']).
% 44.05/44.19 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 44.05/44.19 thf(0,theorem,(~((![X1:$i>$o]:((![X2:$i]:((X1 @ (f @ X2)) => (cP @ X2))) => (~(((~(((cP @ a) => (~((![X2:$i]:(![X3:$i]:(((f @ X2) = (f @ X3)) => (X2 = X3))))))))) => (~((![X2:$i]:(~((X1 @ X2))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 44.05/44.19 % SZS output end Proof
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