TSTP Solution File: ITP189^1 by Satallax---3.5
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% File : Satallax---3.5
% Problem : ITP189^1 : 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 : n032.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 00:29:26 EDT 2022
% Result : Theorem 3.74s 4.04s
% Output : Proof 3.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : ITP189^1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.10 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Fri Jun 3 13:14:46 EDT 2022
% 0.09/0.28 % CPUTime :
% 3.74/4.04 % SZS status Theorem
% 3.74/4.04 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 3.74/4.04 % Inferences: 4
% 3.74/4.04 % SZS output start Proof
% 3.74/4.04 thf(conj_0,conjecture,((late_transitions @ ((res @ x) @ ((par @ p) @ q))) @ ((late_FreeR @ alpha) @ ((res @ x) @ ((par @ p2) @ q))))).
% 3.74/4.04 thf(h0,negated_conjecture,(~(((late_transitions @ ((res @ x) @ ((par @ p) @ q))) @ ((late_FreeR @ alpha) @ ((res @ x) @ ((par @ p2) @ q)))))),inference(assume_negation,[status(cth)],[conj_0])).
% 3.74/4.04 thf(pax12, axiom, (p12=>![X212:pi, X213:late_freeRes, X214:pi, X215:name]:(flate_transitions @ X212 @ (flate_FreeR @ X213 @ X214)=>(ffresh_1641682979reeRes @ X215 @ X213=>flate_transitions @ (fres @ X215 @ X212) @ (flate_FreeR @ X213 @ (fres @ X215 @ X214))))), file('<stdin>', pax12)).
% 3.74/4.04 thf(pax1, axiom, (p1=>ffresh_1641682979reeRes @ fx @ falpha), file('<stdin>', pax1)).
% 3.74/4.04 thf(pax7, axiom, (p7=>![X223:pi, X225:late_freeRes, X226:pi, X219:pi]:(flate_transitions @ X223 @ (flate_FreeR @ X225 @ X226)=>flate_transitions @ (fpar @ X223 @ X219) @ (flate_FreeR @ X225 @ (fpar @ X226 @ X219)))), file('<stdin>', pax7)).
% 3.74/4.04 thf(pax3, axiom, (p3=>flate_transitions @ fp @ (flate_FreeR @ falpha @ fp2)), file('<stdin>', pax3)).
% 3.74/4.04 thf(ax112, axiom, p12, file('<stdin>', ax112)).
% 3.74/4.04 thf(ax123, axiom, p1, file('<stdin>', ax123)).
% 3.74/4.04 thf(ax117, axiom, p7, file('<stdin>', ax117)).
% 3.74/4.04 thf(ax121, axiom, p3, file('<stdin>', ax121)).
% 3.74/4.04 thf(nax106, axiom, (p106<=flate_transitions @ (fres @ fx @ (fpar @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ (fpar @ fp2 @ fq)))), file('<stdin>', nax106)).
% 3.74/4.04 thf(ax18, axiom, ~(p106), file('<stdin>', ax18)).
% 3.74/4.04 thf(c_0_10, plain, ![X1105:pi, X1106:late_freeRes, X1107:pi, X1108:name]:(~p12|(~flate_transitions @ X1105 @ (flate_FreeR @ X1106 @ X1107)|(~ffresh_1641682979reeRes @ X1108 @ X1106|flate_transitions @ (fres @ X1108 @ X1105) @ (flate_FreeR @ X1106 @ (fres @ X1108 @ X1107))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax12])])])).
% 3.74/4.04 thf(c_0_11, plain, (~p1|ffresh_1641682979reeRes @ fx @ falpha), inference(fof_nnf,[status(thm)],[pax1])).
% 3.74/4.04 thf(c_0_12, plain, ![X1145:pi, X1146:late_freeRes, X1147:pi, X1148:pi]:(~p7|(~flate_transitions @ X1145 @ (flate_FreeR @ X1146 @ X1147)|flate_transitions @ (fpar @ X1145 @ X1148) @ (flate_FreeR @ X1146 @ (fpar @ X1147 @ X1148)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax7])])])).
% 3.74/4.04 thf(c_0_13, plain, (~p3|flate_transitions @ fp @ (flate_FreeR @ falpha @ fp2)), inference(fof_nnf,[status(thm)],[pax3])).
% 3.74/4.04 thf(c_0_14, plain, ![X2:pi, X3:name, X7:pi, X61:late_freeRes]:(flate_transitions @ (fres @ X3 @ X2) @ (flate_FreeR @ X61 @ (fres @ X3 @ X7))|~p12|~flate_transitions @ X2 @ (flate_FreeR @ X61 @ X7)|~ffresh_1641682979reeRes @ X3 @ X61), inference(split_conjunct,[status(thm)],[c_0_10])).
% 3.74/4.04 thf(c_0_15, plain, p12, inference(split_conjunct,[status(thm)],[ax112])).
% 3.74/4.04 thf(c_0_16, plain, (ffresh_1641682979reeRes @ fx @ falpha|~p1), inference(split_conjunct,[status(thm)],[c_0_11])).
% 3.74/4.04 thf(c_0_17, plain, p1, inference(split_conjunct,[status(thm)],[ax123])).
% 3.74/4.04 thf(c_0_18, plain, ![X2:pi, X9:pi, X61:late_freeRes, X7:pi]:(flate_transitions @ (fpar @ X2 @ X9) @ (flate_FreeR @ X61 @ (fpar @ X7 @ X9))|~p7|~flate_transitions @ X2 @ (flate_FreeR @ X61 @ X7)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 3.74/4.04 thf(c_0_19, plain, p7, inference(split_conjunct,[status(thm)],[ax117])).
% 3.74/4.04 thf(c_0_20, plain, (flate_transitions @ fp @ (flate_FreeR @ falpha @ fp2)|~p3), inference(split_conjunct,[status(thm)],[c_0_13])).
% 3.74/4.04 thf(c_0_21, plain, p3, inference(split_conjunct,[status(thm)],[ax121])).
% 3.74/4.04 thf(c_0_22, plain, (~flate_transitions @ (fres @ fx @ (fpar @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ (fpar @ fp2 @ fq)))|p106), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax106])])).
% 3.74/4.04 thf(c_0_23, plain, ~p106, inference(fof_simplification,[status(thm)],[ax18])).
% 3.74/4.04 thf(c_0_24, plain, ![X2:pi, X3:name, X7:pi, X61:late_freeRes]:(flate_transitions @ (fres @ X3 @ X2) @ (flate_FreeR @ X61 @ (fres @ X3 @ X7))|~flate_transitions @ X2 @ (flate_FreeR @ X61 @ X7)|~ffresh_1641682979reeRes @ X3 @ X61), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 3.74/4.04 thf(c_0_25, plain, ffresh_1641682979reeRes @ fx @ falpha, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 3.74/4.04 thf(c_0_26, plain, ![X2:pi, X7:pi, X61:late_freeRes, X9:pi]:(flate_transitions @ (fpar @ X2 @ X7) @ (flate_FreeR @ X61 @ (fpar @ X9 @ X7))|~flate_transitions @ X2 @ (flate_FreeR @ X61 @ X9)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 3.74/4.04 thf(c_0_27, plain, flate_transitions @ fp @ (flate_FreeR @ falpha @ fp2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 3.74/4.04 thf(c_0_28, plain, (p106|~flate_transitions @ (fres @ fx @ (fpar @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ (fpar @ fp2 @ fq)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 3.74/4.04 thf(c_0_29, plain, ~p106, inference(split_conjunct,[status(thm)],[c_0_23])).
% 3.74/4.04 thf(c_0_30, plain, ![X2:pi, X7:pi]:(flate_transitions @ (fres @ fx @ X2) @ (flate_FreeR @ falpha @ (fres @ fx @ X7))|~flate_transitions @ X2 @ (flate_FreeR @ falpha @ X7)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 3.74/4.04 thf(c_0_31, plain, ![X2:pi]:flate_transitions @ (fpar @ fp @ X2) @ (flate_FreeR @ falpha @ (fpar @ fp2 @ X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 3.74/4.04 thf(c_0_32, plain, ~flate_transitions @ (fres @ fx @ (fpar @ fp @ fq)) @ (flate_FreeR @ falpha @ (fres @ fx @ (fpar @ fp2 @ fq))), inference(sr,[status(thm)],[c_0_28, c_0_29])).
% 3.74/4.04 thf(c_0_33, plain, ![X2:pi]:flate_transitions @ (fres @ fx @ (fpar @ fp @ X2)) @ (flate_FreeR @ falpha @ (fres @ fx @ (fpar @ fp2 @ X2))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 3.74/4.04 thf(c_0_34, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])]), ['proof']).
% 3.74/4.04 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 3.74/4.04 thf(0,theorem,((late_transitions @ ((res @ x) @ ((par @ p) @ q))) @ ((late_FreeR @ alpha) @ ((res @ x) @ ((par @ p2) @ q)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 3.74/4.04 % SZS output end Proof
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