TSTP Solution File: ITP186^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP186^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n029.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 : Sun Jul 17 00:29:25 EDT 2022
% Result : Theorem 7.52s 7.72s
% Output : Proof 7.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP186^1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n029.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 : Fri Jun 3 20:54:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.52/7.72 % SZS status Theorem
% 7.52/7.72 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 7.52/7.72 % Inferences: 2
% 7.52/7.72 % SZS output start Proof
% 7.52/7.72 thf(conj_0,conjecture,((late_transitions @ ((par @ ((par @ p) @ q)) @ r)) @ ((late_FreeR @ late_TauR) @ ((par @ ((par @ p2) @ (((subs @ q2) @ x) @ b))) @ r)))).
% 7.52/7.72 thf(h0,negated_conjecture,(~(((late_transitions @ ((par @ ((par @ p) @ q)) @ r)) @ ((late_FreeR @ late_TauR) @ ((par @ ((par @ p2) @ (((subs @ q2) @ x) @ b))) @ r))))),inference(assume_negation,[status(cth)],[conj_0])).
% 7.52/7.72 thf(nax140, axiom, (p140<=flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb)) @ fr))), file('<stdin>', nax140)).
% 7.52/7.72 thf(ax9, axiom, ~(p140), file('<stdin>', ax9)).
% 7.52/7.72 thf(pax11, axiom, (p11=>![X189:pi, X193:late_freeRes, X191:pi, X194:pi]:(flate_transitions @ X189 @ (flate_FreeR @ X193 @ X191)=>flate_transitions @ (fpar @ X189 @ X194) @ (flate_FreeR @ X193 @ (fpar @ X191 @ X194)))), file('<stdin>', pax11)).
% 7.52/7.72 thf(pax3, axiom, (p3=>flate_transitions @ (fpar @ fp @ fq) @ (flate_FreeR @ flate_TauR @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb)))), file('<stdin>', pax3)).
% 7.52/7.72 thf(ax138, axiom, p11, file('<stdin>', ax138)).
% 7.52/7.72 thf(ax146, axiom, p3, file('<stdin>', ax146)).
% 7.52/7.72 thf(c_0_6, plain, (~flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb)) @ fr))|p140), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax140])])).
% 7.52/7.72 thf(c_0_7, plain, ~p140, inference(fof_simplification,[status(thm)],[ax9])).
% 7.52/7.72 thf(c_0_8, plain, ![X1116:pi, X1117:late_freeRes, X1118:pi, X1119:pi]:(~p11|(~flate_transitions @ X1116 @ (flate_FreeR @ X1117 @ X1118)|flate_transitions @ (fpar @ X1116 @ X1119) @ (flate_FreeR @ X1117 @ (fpar @ X1118 @ X1119)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 7.52/7.72 thf(c_0_9, plain, (~p3|flate_transitions @ (fpar @ fp @ fq) @ (flate_FreeR @ flate_TauR @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb)))), inference(fof_nnf,[status(thm)],[pax3])).
% 7.52/7.72 thf(c_0_10, plain, (p140|~flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb)) @ fr))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 7.52/7.72 thf(c_0_11, plain, ~p140, inference(split_conjunct,[status(thm)],[c_0_7])).
% 7.52/7.72 thf(c_0_12, plain, ![X1:pi, X5:pi, X53:late_freeRes, X2:pi]:(flate_transitions @ (fpar @ X1 @ X5) @ (flate_FreeR @ X53 @ (fpar @ X2 @ X5))|~p11|~flate_transitions @ X1 @ (flate_FreeR @ X53 @ X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 7.52/7.72 thf(c_0_13, plain, p11, inference(split_conjunct,[status(thm)],[ax138])).
% 7.52/7.72 thf(c_0_14, plain, (flate_transitions @ (fpar @ fp @ fq) @ (flate_FreeR @ flate_TauR @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb)))|~p3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 7.52/7.72 thf(c_0_15, plain, p3, inference(split_conjunct,[status(thm)],[ax146])).
% 7.52/7.72 thf(c_0_16, plain, ~flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb)) @ fr)), inference(sr,[status(thm)],[c_0_10, c_0_11])).
% 7.52/7.72 thf(c_0_17, plain, ![X1:pi, X2:pi, X53:late_freeRes, X5:pi]:(flate_transitions @ (fpar @ X1 @ X2) @ (flate_FreeR @ X53 @ (fpar @ X5 @ X2))|~flate_transitions @ X1 @ (flate_FreeR @ X53 @ X5)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 7.52/7.72 thf(c_0_18, plain, flate_transitions @ (fpar @ fp @ fq) @ (flate_FreeR @ flate_TauR @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fb))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 7.52/7.72 thf(c_0_19, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']).
% 7.52/7.72 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 7.52/7.72 thf(0,theorem,((late_transitions @ ((par @ ((par @ p) @ q)) @ r)) @ ((late_FreeR @ late_TauR) @ ((par @ ((par @ p2) @ (((subs @ q2) @ x) @ b))) @ r))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 7.52/7.72 % SZS output end Proof
%------------------------------------------------------------------------------