TSTP Solution File: ITP187^1 by Satallax---3.5

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% File     : Satallax---3.5
% Problem  : ITP187^1 : 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 : n026.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 9.98s 10.13s
% Output   : Proof 9.98s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : ITP187^1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.11  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.30  % Computer : n026.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Thu Jun  2 11:32:27 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 9.98/10.13  % SZS status Theorem
% 9.98/10.13  % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 9.98/10.13  % Inferences: 1
% 9.98/10.13  % SZS output start Proof
% 9.98/10.13  thf(conj_0,conjecture,(~((![X1:pi]:(((late_transitions @ ((par @ ((par @ p) @ q)) @ r)) @ ((late_FreeR @ late_TauR) @ X1)) => (~(((member558706512_pi_pi @ ((product_Pair_pi_pi @ X1) @ ((res @ y) @ ((par @ p2) @ (((subs @ ((par @ q2) @ r)) @ x) @ y))))) @ rel)))))))).
% 9.98/10.13  thf(h0,negated_conjecture,(![X1:pi]:(((late_transitions @ ((par @ ((par @ p) @ q)) @ r)) @ ((late_FreeR @ late_TauR) @ X1)) => (~(((member558706512_pi_pi @ ((product_Pair_pi_pi @ X1) @ ((res @ y) @ ((par @ p2) @ (((subs @ ((par @ q2) @ r)) @ x) @ y))))) @ rel))))),inference(assume_negation,[status(cth)],[conj_0])).
% 9.98/10.13  thf(pax167, axiom, (p167=>![X1:pi]:(flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ X1)=>~(fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ X1 @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel))), file('<stdin>', pax167)).
% 9.98/10.13  thf(pax6, axiom, (p6=>fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr) @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel), file('<stdin>', pax6)).
% 9.98/10.13  thf(pax7, axiom, (p7=>flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr))), file('<stdin>', pax7)).
% 9.98/10.13  thf(ax7, axiom, p167, file('<stdin>', ax7)).
% 9.98/10.13  thf(ax168, axiom, p6, file('<stdin>', ax168)).
% 9.98/10.13  thf(ax167, axiom, p7, file('<stdin>', ax167)).
% 9.98/10.13  thf(c_0_6, plain, ![X342:pi]:(~p167|(~flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ X342)|~fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ X342 @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax167])])])])).
% 9.98/10.13  thf(c_0_7, plain, (~p6|fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr) @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel), inference(fof_nnf,[status(thm)],[pax6])).
% 9.98/10.13  thf(c_0_8, plain, (~p7|flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr))), inference(fof_nnf,[status(thm)],[pax7])).
% 9.98/10.13  thf(c_0_9, plain, ![X1:pi]:(~p167|~flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ X1)|~fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ X1 @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel), inference(split_conjunct,[status(thm)],[c_0_6])).
% 9.98/10.13  thf(c_0_10, plain, p167, inference(split_conjunct,[status(thm)],[ax7])).
% 9.98/10.13  thf(c_0_11, plain, (fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr) @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel|~p6), inference(split_conjunct,[status(thm)],[c_0_7])).
% 9.98/10.13  thf(c_0_12, plain, p6, inference(split_conjunct,[status(thm)],[ax168])).
% 9.98/10.13  thf(c_0_13, plain, (flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr))|~p7), inference(split_conjunct,[status(thm)],[c_0_8])).
% 9.98/10.13  thf(c_0_14, plain, p7, inference(split_conjunct,[status(thm)],[ax167])).
% 9.98/10.13  thf(c_0_15, plain, ![X1:pi]:(~fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ X1 @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel|~flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 9.98/10.13  thf(c_0_16, plain, fmember558706512_pi_pi @ (fproduct_Pair_pi_pi @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr) @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ (fpar @ fq2 @ fr) @ fx @ fy)))) @ frel, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 9.98/10.13  thf(c_0_17, plain, flate_transitions @ (fpar @ (fpar @ fp @ fq) @ fr) @ (flate_FreeR @ flate_TauR @ (fpar @ (fres @ fy @ (fpar @ fp2 @ (fsubs @ fq2 @ fx @ fy))) @ fr)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 9.98/10.13  thf(c_0_18, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])]), ['proof']).
% 9.98/10.13  thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 9.98/10.13  thf(0,theorem,(~((![X1:pi]:(((late_transitions @ ((par @ ((par @ p) @ q)) @ r)) @ ((late_FreeR @ late_TauR) @ X1)) => (~(((member558706512_pi_pi @ ((product_Pair_pi_pi @ X1) @ ((res @ y) @ ((par @ p2) @ (((subs @ ((par @ q2) @ r)) @ x) @ y))))) @ rel))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 9.98/10.13  % SZS output end Proof
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