%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP071^1 : 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 : n023.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 01:46:53 PM UTC 2025
% Result : Theorem 1.28s 1.47s
% Output : Proof 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP071^1 : TPTP v9.2.0. Released v7.5.0.
% 0.08/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 18:31:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 1.28/1.47 % SZS status Theorem
% 1.28/1.47 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 1.28/1.47 % Inferences: 2
% 1.28/1.47 % SZS output start Proof
% 1.28/1.47 thf(conj_0,conjecture,(is_heap_a @ (product_snd_a_Tree_a @ (heapIm837449470Leaf_a @ (((t_a @ v) @ e_a) @ e_a))))).
% 1.28/1.47 thf(h0,negated_conjecture,(~((is_heap_a @ (product_snd_a_Tree_a @ (heapIm837449470Leaf_a @ (((t_a @ v) @ e_a) @ e_a)))))),inference(assume_negation,[status(cth)],[conj_0])).
% 1.28/1.47 thf(nax64, axiom, (p64<=fis_heap_a @ (fproduct_snd_a_Tree_a @ (fheapIm837449470Leaf_a @ (ft_a @ fv @ fe_a @ fe_a)))), file('<stdin>', nax64)).
% 1.28/1.47 thf(ax1, axiom, ~(p64), file('<stdin>', ax1)).
% 1.28/1.47 thf(pax15, axiom, (p15=>![X32:a]:(fheapIm837449470Leaf_a @ (ft_a @ X32 @ fe_a @ fe_a))=(fproduc686083979Tree_a @ X32 @ fe_a)), file('<stdin>', pax15)).
% 1.28/1.47 thf(pax22, axiom, (p22=>![X26:a, X27:tree_a]:(fproduct_snd_a_Tree_a @ (fproduc686083979Tree_a @ X26 @ X27))=(X27)), file('<stdin>', pax22)).
% 1.28/1.47 thf(pax9, axiom, (p9=>fis_heap_a @ fe_a), file('<stdin>', pax9)).
% 1.28/1.47 thf(ax50, axiom, p15, file('<stdin>', ax50)).
% 1.28/1.47 thf(ax43, axiom, p22, file('<stdin>', ax43)).
% 1.28/1.47 thf(ax56, axiom, p9, file('<stdin>', ax56)).
% 1.28/1.47 thf(c_0_8, plain, (~fis_heap_a @ (fproduct_snd_a_Tree_a @ (fheapIm837449470Leaf_a @ (ft_a @ fv @ fe_a @ fe_a)))|p64), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax64])])).
% 1.28/1.47 thf(c_0_9, plain, ~p64, inference(fof_simplification,[status(thm)],[ax1])).
% 1.28/1.47 thf(c_0_10, plain, ![X174:a]:(~p15|(fheapIm837449470Leaf_a @ (ft_a @ X174 @ fe_a @ fe_a))=(fproduc686083979Tree_a @ X174 @ fe_a)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax15])])])).
% 1.28/1.47 thf(c_0_11, plain, ![X152:a, X153:tree_a]:(~p22|(fproduct_snd_a_Tree_a @ (fproduc686083979Tree_a @ X152 @ X153))=(X153)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax22])])])).
% 1.28/1.47 thf(c_0_12, plain, (~p9|fis_heap_a @ fe_a), inference(fof_nnf,[status(thm)],[pax9])).
% 1.28/1.47 thf(c_0_13, plain, (p64|~fis_heap_a @ (fproduct_snd_a_Tree_a @ (fheapIm837449470Leaf_a @ (ft_a @ fv @ fe_a @ fe_a)))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 1.28/1.47 thf(c_0_14, plain, ~p64, inference(split_conjunct,[status(thm)],[c_0_9])).
% 1.28/1.47 thf(c_0_15, plain, ![X6:a]:((fheapIm837449470Leaf_a @ (ft_a @ X6 @ fe_a @ fe_a))=(fproduc686083979Tree_a @ X6 @ fe_a)|~p15), inference(split_conjunct,[status(thm)],[c_0_10])).
% 1.28/1.47 thf(c_0_16, plain, p15, inference(split_conjunct,[status(thm)],[ax50])).
% 1.28/1.47 thf(c_0_17, plain, ![X6:a, X5:tree_a]:((fproduct_snd_a_Tree_a @ (fproduc686083979Tree_a @ X6 @ X5))=(X5)|~p22), inference(split_conjunct,[status(thm)],[c_0_11])).
% 1.28/1.47 thf(c_0_18, plain, p22, inference(split_conjunct,[status(thm)],[ax43])).
% 1.28/1.47 thf(c_0_19, plain, (fis_heap_a @ fe_a|~p9), inference(split_conjunct,[status(thm)],[c_0_12])).
% 1.28/1.47 thf(c_0_20, plain, p9, inference(split_conjunct,[status(thm)],[ax56])).
% 1.28/1.47 thf(c_0_21, plain, ~fis_heap_a @ (fproduct_snd_a_Tree_a @ (fheapIm837449470Leaf_a @ (ft_a @ fv @ fe_a @ fe_a))), inference(sr,[status(thm)],[c_0_13, c_0_14])).
% 1.28/1.47 thf(c_0_22, plain, ![X6:a]:(fheapIm837449470Leaf_a @ (ft_a @ X6 @ fe_a @ fe_a))=(fproduc686083979Tree_a @ X6 @ fe_a), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 1.28/1.47 thf(c_0_23, plain, ![X6:a, X5:tree_a]:(fproduct_snd_a_Tree_a @ (fproduc686083979Tree_a @ X6 @ X5))=(X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 1.28/1.47 thf(c_0_24, plain, fis_heap_a @ fe_a, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 1.28/1.47 thf(c_0_25, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_23]), c_0_24])]), ['proof']).
% 1.28/1.47 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 1.28/1.47 thf(0,theorem,(is_heap_a @ (product_snd_a_Tree_a @ (heapIm837449470Leaf_a @ (((t_a @ v) @ e_a) @ e_a)))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 1.28/1.47 % SZS output end Proof
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