%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP174^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n031.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 : 300s
% DateTime : Thu Oct 9 01:47:11 PM UTC 2025
% Result : Theorem 0.21s 0.45s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP174^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 8 18:35:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.21/0.45 % SZS status Theorem
% 0.21/0.45 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.21/0.45 % Inferences: 3
% 0.21/0.45 % SZS output start Proof
% 0.21/0.45 thf(conj_3,conjecture,(type_w1771507213_j_k_l @ h)).
% 0.21/0.45 thf(h0,negated_conjecture,(~((type_w1771507213_j_k_l @ h))),inference(assume_negation,[status(cth)],[conj_3])).
% 0.21/0.45 thf(pax2, axiom, (p2=>![X1:heap_S1465075775_j_k_l]:(ftype_w92696601_j_k_l @ X1=>ftype_w1771507213_j_k_l @ X1)), file('<stdin>', pax2)).
% 0.21/0.45 thf(pax16, axiom, (p16=>ftype_w92696601_j_k_l @ fh), file('<stdin>', pax16)).
% 0.21/0.45 thf(nax17, axiom, (p17<=ftype_w1771507213_j_k_l @ fh), file('<stdin>', nax17)).
% 0.21/0.45 thf(ax0, axiom, ~(p17), file('<stdin>', ax0)).
% 0.21/0.45 thf(ax15, axiom, p2, file('<stdin>', ax15)).
% 0.21/0.45 thf(ax1, axiom, p16, file('<stdin>', ax1)).
% 0.21/0.45 thf(c_0_6, plain, ![X19:heap_S1465075775_j_k_l]:(~p2|(~ftype_w92696601_j_k_l @ X19|ftype_w1771507213_j_k_l @ X19)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 0.21/0.45 thf(c_0_7, plain, (~p16|ftype_w92696601_j_k_l @ fh), inference(fof_nnf,[status(thm)],[pax16])).
% 0.21/0.45 thf(c_0_8, plain, (~ftype_w1771507213_j_k_l @ fh|p17), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax17])])).
% 0.21/0.45 thf(c_0_9, plain, ~p17, inference(fof_simplification,[status(thm)],[ax0])).
% 0.21/0.45 thf(c_0_10, plain, ![X1:heap_S1465075775_j_k_l]:(ftype_w1771507213_j_k_l @ X1|~p2|~ftype_w92696601_j_k_l @ X1), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.21/0.45 thf(c_0_11, plain, p2, inference(split_conjunct,[status(thm)],[ax15])).
% 0.21/0.45 thf(c_0_12, plain, (ftype_w92696601_j_k_l @ fh|~p16), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.21/0.45 thf(c_0_13, plain, p16, inference(split_conjunct,[status(thm)],[ax1])).
% 0.21/0.45 thf(c_0_14, plain, (p17|~ftype_w1771507213_j_k_l @ fh), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.21/0.45 thf(c_0_15, plain, ~p17, inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.21/0.45 thf(c_0_16, plain, ![X1:heap_S1465075775_j_k_l]:(ftype_w1771507213_j_k_l @ X1|~ftype_w92696601_j_k_l @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.21/0.45 thf(c_0_17, plain, ftype_w92696601_j_k_l @ fh, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.21/0.45 thf(c_0_18, plain, ~ftype_w1771507213_j_k_l @ fh, inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 0.21/0.45 thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), ['proof']).
% 0.21/0.45 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 0.21/0.45 thf(0,theorem,(type_w1771507213_j_k_l @ h),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 0.21/0.45 % SZS output end Proof
%------------------------------------------------------------------------------