%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP079^1 : 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 : n011.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 01:46:54 PM UTC 2025
% Result : Theorem 24.48s 24.63s
% Output : Proof 24.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP079^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 8 17:55:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 24.48/24.63 % SZS status Theorem
% 24.48/24.63 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 24.48/24.63 % Inferences: 471
% 24.48/24.63 % SZS output start Proof
% 24.48/24.63 thf(conj_0,conjecture,((ord_less_eq_set_val @ scc) @ p)).
% 24.48/24.63 thf(h0,negated_conjecture,(~(((ord_less_eq_set_val @ scc) @ p))),inference(assume_negation,[status(cth)],[conj_0])).
% 24.48/24.63 thf(pax3, axiom, (p3=>![X20:set_val, X34:set_val]:(![X35:val]:(fmember_val @ X35 @ X20=>fmember_val @ X35 @ X34)=>ford_less_eq_set_val @ X20 @ X34)), file('<stdin>', pax3)).
% 24.48/24.63 thf(pax2, axiom, (p2=>![X36:val]:(fmember_val @ X36 @ fscc=>fmember_val @ X36 @ fp)), file('<stdin>', pax2)).
% 24.48/24.63 thf(ax1187, axiom, p3, file('<stdin>', ax1187)).
% 24.48/24.63 thf(ax1188, axiom, p2, file('<stdin>', ax1188)).
% 24.48/24.63 thf(nax1, axiom, (p1<=ford_less_eq_set_val @ fscc @ fp), file('<stdin>', nax1)).
% 24.48/24.63 thf(ax1189, axiom, ~(p1), file('<stdin>', ax1189)).
% 24.48/24.63 thf(c_0_6, plain, ![X3529:set_val, X3530:set_val]:((fmember_val @ (esk1747_2 @ X3529 @ X3530) @ X3529|ford_less_eq_set_val @ X3529 @ X3530|~p3)&(~fmember_val @ (esk1747_2 @ X3529 @ X3530) @ X3530|ford_less_eq_set_val @ X3529 @ X3530|~p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])])])).
% 24.48/24.63 thf(c_0_7, plain, ![X3535:val]:(~p2|(~fmember_val @ X3535 @ fscc|fmember_val @ X3535 @ fp)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 24.48/24.63 thf(c_0_8, plain, ![X1:set_val, X2:set_val]:(ford_less_eq_set_val @ X1 @ X2|~fmember_val @ (esk1747_2 @ X1 @ X2) @ X2|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 24.48/24.63 thf(c_0_9, plain, p3, inference(split_conjunct,[status(thm)],[ax1187])).
% 24.48/24.63 thf(c_0_10, plain, ![X19:val]:(fmember_val @ X19 @ fp|~p2|~fmember_val @ X19 @ fscc), inference(split_conjunct,[status(thm)],[c_0_7])).
% 24.48/24.63 thf(c_0_11, plain, p2, inference(split_conjunct,[status(thm)],[ax1188])).
% 24.48/24.63 thf(c_0_12, plain, (~ford_less_eq_set_val @ fscc @ fp|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 24.48/24.63 thf(c_0_13, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1189])).
% 24.48/24.63 thf(c_0_14, plain, ![X1:set_val, X2:set_val]:(ford_less_eq_set_val @ X1 @ X2|~fmember_val @ (esk1747_2 @ X1 @ X2) @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])])).
% 24.48/24.63 thf(c_0_15, plain, ![X19:val]:(fmember_val @ X19 @ fp|~fmember_val @ X19 @ fscc), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 24.48/24.63 thf(c_0_16, plain, ![X1:set_val, X2:set_val]:(fmember_val @ (esk1747_2 @ X1 @ X2) @ X1|ford_less_eq_set_val @ X1 @ X2|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 24.48/24.63 thf(c_0_17, plain, (p1|~ford_less_eq_set_val @ fscc @ fp), inference(split_conjunct,[status(thm)],[c_0_12])).
% 24.48/24.63 thf(c_0_18, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_13])).
% 24.48/24.63 thf(c_0_19, plain, ![X1:set_val]:(ford_less_eq_set_val @ X1 @ fp|~fmember_val @ (esk1747_2 @ X1 @ fp) @ fscc), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 24.48/24.63 thf(c_0_20, plain, ![X1:set_val, X2:set_val]:(fmember_val @ (esk1747_2 @ X1 @ X2) @ X1|ford_less_eq_set_val @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_9])])).
% 24.48/24.63 thf(c_0_21, plain, ~ford_less_eq_set_val @ fscc @ fp, inference(sr,[status(thm)],[c_0_17, c_0_18])).
% 24.48/24.63 thf(c_0_22, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), ['proof']).
% 24.48/24.63 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 24.48/24.63 thf(0,theorem,((ord_less_eq_set_val @ scc) @ p),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 24.48/24.63 % SZS output end Proof
%------------------------------------------------------------------------------