TSTP Solution File: SYN000^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYN000^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n029.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 : Thu Jul 21 11:40:12 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN000^1 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon Jul 11 19:42:32 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 % Mode: mode213
% 0.20/0.46 % Inferences: 28
% 0.20/0.46 % SZS output start Proof
% 0.20/0.46 thf(ty_h, type, h : $i).
% 0.20/0.46 thf(ty_a, type, a : $i).
% 0.20/0.46 thf(ty_p, type, p : ($i>$o)).
% 0.20/0.46 thf(ty_'A proposition', type, 'A proposition' : $o).
% 0.20/0.46 thf(ty_eigen__2, type, eigen__2 : $i).
% 0.20/0.46 thf(ty_'A constant', type, 'A constant' : $i).
% 0.20/0.46 thf(ty_eigen__1, type, eigen__1 : $i).
% 0.20/0.46 thf(ty_b, type, b : $i).
% 0.20/0.46 thf(ty_eigen__0, type, eigen__0 : $i).
% 0.20/0.46 thf(ty_'A \'quoted \\ escape\'', type, 'A \'quoted \\ escape\'' : $i).
% 0.20/0.46 thf(ty_eigen__3, type, eigen__3 : $i).
% 0.20/0.46 thf(ty_r0, type, r0 : $o).
% 0.20/0.46 thf(ty_q0, type, q0 : $o).
% 0.20/0.46 thf(ty_'A predicate', type, 'A predicate' : ($i>$o)).
% 0.20/0.46 thf(ty_g, type, g : ($i>$i>$i>$i)).
% 0.20/0.46 thf(ty_p0, type, p0 : $o).
% 0.20/0.46 thf(ty_'A function', type, 'A function' : ($i>$i)).
% 0.20/0.46 thf(ty_f, type, f : ($i>$i)).
% 0.20/0.46 thf(ty_s0, type, s0 : $o).
% 0.20/0.46 thf(sP1,plain,sP1 <=> (p @ h),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.20/0.46 thf(sP2,plain,sP2 <=> (![X1:$i]:(~((p @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.20/0.46 thf(role_conjecture,conjecture,(~(sP2))).
% 0.20/0.46 thf(h0,negated_conjecture,sP2,inference(assume_negation,[status(cth)],[role_conjecture])).
% 0.20/0.46 thf(h1,assumption,(p0 => q0),introduced(assumption,[])).
% 0.20/0.46 thf(h2,assumption,((~(r0)) => (~(s0))),introduced(assumption,[])).
% 0.20/0.46 thf(h3,assumption,(~(p0)),introduced(assumption,[])).
% 0.20/0.46 thf(h4,assumption,q0,introduced(assumption,[])).
% 0.20/0.46 thf(h5,assumption,(![X1:$i]:(![X2:$i]:((~(((~(((f @ eigen__0) = (((g @ X1) @ (f @ eigen__0)) @ X2)))) => (~(((f @ (f @ (f @ b))) = a)))))) => (X1 = (f @ eigen__0))))),introduced(assumption,[])).
% 0.20/0.46 thf(h6,assumption,((~(((~(((~('A proposition')) => ('A predicate' @ a)))) => (p @ 'A constant')))) => (p @ ('A function' @ a))),introduced(assumption,[])).
% 0.20/0.46 thf(h7,assumption,(p @ 'A \'quoted \\ escape\''),introduced(assumption,[])).
% 0.20/0.46 thf(h8,assumption,((~(((~('A proposition')) => ('A predicate' @ a)))) => (p @ 'A constant')),introduced(assumption,[])).
% 0.20/0.46 thf(h9,assumption,(p @ ('A function' @ a)),introduced(assumption,[])).
% 0.20/0.46 thf(h10,assumption,((~('A proposition')) => ('A predicate' @ a)),introduced(assumption,[])).
% 0.20/0.46 thf(h11,assumption,(p @ 'A constant'),introduced(assumption,[])).
% 0.20/0.46 thf(h12,assumption,'A proposition',introduced(assumption,[])).
% 0.20/0.46 thf(h13,assumption,('A predicate' @ a),introduced(assumption,[])).
% 0.20/0.46 thf(1,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(role_hypothesis,axiom,sP1).
% 0.20/0.46 thf(2,plain,$false,inference(prop_unsat,[status(thm),assumptions([h12,h10,h8,h6,h5,h3,h1,h0])],[1,role_hypothesis,h0])).
% 0.20/0.46 thf(3,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h13,h10,h8,h6,h5,h3,h1,h0])],[3,role_hypothesis,h0])).
% 0.20/0.46 thf(5,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h8,h6,h5,h3,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h10,2,4,h12,h13])).
% 0.20/0.46 thf(6,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(7,plain,$false,inference(prop_unsat,[status(thm),assumptions([h11,h8,h6,h5,h3,h1,h0])],[6,role_hypothesis,h0])).
% 0.20/0.46 thf(8,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h6,h5,h3,h1,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,5,7,h10,h11])).
% 0.20/0.46 thf(9,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(10,plain,$false,inference(prop_unsat,[status(thm),assumptions([h9,h6,h5,h3,h1,h0])],[9,role_hypothesis,h0])).
% 0.20/0.46 thf(11,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h5,h3,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h6,8,10,h8,h9])).
% 0.20/0.46 thf(12,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(13,plain,$false,inference(prop_unsat,[status(thm),assumptions([h7,h5,h3,h1,h0])],[12,role_hypothesis,h0])).
% 0.20/0.46 thf(single_quoted,axiom,((~(((~(((~(((~('A proposition')) => ('A predicate' @ a)))) => (p @ 'A constant')))) => (p @ ('A function' @ a))))) => (p @ 'A \'quoted \\ escape\''))).
% 0.20/0.46 thf(14,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h3,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[single_quoted,11,13,h6,h7])).
% 0.20/0.46 thf(equality,axiom,(~((![X1:$i]:(~((![X2:$i]:(![X3:$i]:((~(((~(((f @ X1) = (((g @ X2) @ (f @ X1)) @ X3)))) => (~(((f @ (f @ (f @ b))) = a)))))) => (X2 = (f @ X1))))))))))).
% 0.20/0.46 thf(15,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[equality,14,h5])).
% 0.20/0.46 thf(h14,assumption,(![X1:$i]:(![X2:$i]:((~(((~(((f @ eigen__1) = (((g @ X1) @ (f @ eigen__1)) @ X2)))) => (~(((f @ (f @ (f @ b))) = a)))))) => (X1 = (f @ eigen__1))))),introduced(assumption,[])).
% 0.20/0.46 thf(16,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(17,plain,$false,inference(prop_unsat,[status(thm),assumptions([h12,h10,h8,h6,h14,h4,h1,h0])],[16,role_hypothesis,h0])).
% 0.20/0.46 thf(18,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(19,plain,$false,inference(prop_unsat,[status(thm),assumptions([h13,h10,h8,h6,h14,h4,h1,h0])],[18,role_hypothesis,h0])).
% 0.20/0.46 thf(20,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h8,h6,h14,h4,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h10,17,19,h12,h13])).
% 0.20/0.46 thf(21,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(22,plain,$false,inference(prop_unsat,[status(thm),assumptions([h11,h8,h6,h14,h4,h1,h0])],[21,role_hypothesis,h0])).
% 0.20/0.46 thf(23,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h6,h14,h4,h1,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,20,22,h10,h11])).
% 0.20/0.46 thf(24,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(25,plain,$false,inference(prop_unsat,[status(thm),assumptions([h9,h6,h14,h4,h1,h0])],[24,role_hypothesis,h0])).
% 0.20/0.46 thf(26,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h14,h4,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h6,23,25,h8,h9])).
% 0.20/0.46 thf(27,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(28,plain,$false,inference(prop_unsat,[status(thm),assumptions([h7,h14,h4,h1,h0])],[27,role_hypothesis,h0])).
% 0.20/0.46 thf(29,plain,$false,inference(tab_imp,[status(thm),assumptions([h14,h4,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[single_quoted,26,28,h6,h7])).
% 0.20/0.46 thf(30,plain,$false,inference(tab_negall,[status(thm),assumptions([h4,h1,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__1)],[equality,29,h14])).
% 0.20/0.46 thf(31,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,15,30,h3,h4])).
% 0.20/0.46 thf(h15,assumption,r0,introduced(assumption,[])).
% 0.20/0.46 thf(h16,assumption,(~(s0)),introduced(assumption,[])).
% 0.20/0.46 thf(h17,assumption,(![X1:$i]:(![X2:$i]:((~(((~(((f @ eigen__2) = (((g @ X1) @ (f @ eigen__2)) @ X2)))) => (~(((f @ (f @ (f @ b))) = a)))))) => (X1 = (f @ eigen__2))))),introduced(assumption,[])).
% 0.20/0.46 thf(32,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(33,plain,$false,inference(prop_unsat,[status(thm),assumptions([h12,h10,h8,h6,h17,h15,h2,h0])],[32,role_hypothesis,h0])).
% 0.20/0.46 thf(34,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(35,plain,$false,inference(prop_unsat,[status(thm),assumptions([h13,h10,h8,h6,h17,h15,h2,h0])],[34,role_hypothesis,h0])).
% 0.20/0.46 thf(36,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h8,h6,h17,h15,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h10,33,35,h12,h13])).
% 0.20/0.46 thf(37,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(38,plain,$false,inference(prop_unsat,[status(thm),assumptions([h11,h8,h6,h17,h15,h2,h0])],[37,role_hypothesis,h0])).
% 0.20/0.46 thf(39,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h6,h17,h15,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,36,38,h10,h11])).
% 0.20/0.46 thf(40,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(41,plain,$false,inference(prop_unsat,[status(thm),assumptions([h9,h6,h17,h15,h2,h0])],[40,role_hypothesis,h0])).
% 0.20/0.46 thf(42,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h17,h15,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h6,39,41,h8,h9])).
% 0.20/0.46 thf(43,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(44,plain,$false,inference(prop_unsat,[status(thm),assumptions([h7,h17,h15,h2,h0])],[43,role_hypothesis,h0])).
% 0.20/0.46 thf(45,plain,$false,inference(tab_imp,[status(thm),assumptions([h17,h15,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[single_quoted,42,44,h6,h7])).
% 0.20/0.46 thf(46,plain,$false,inference(tab_negall,[status(thm),assumptions([h15,h2,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__2)],[equality,45,h17])).
% 0.20/0.46 thf(h18,assumption,(![X1:$i]:(![X2:$i]:((~(((~(((f @ eigen__3) = (((g @ X1) @ (f @ eigen__3)) @ X2)))) => (~(((f @ (f @ (f @ b))) = a)))))) => (X1 = (f @ eigen__3))))),introduced(assumption,[])).
% 0.20/0.46 thf(47,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(48,plain,$false,inference(prop_unsat,[status(thm),assumptions([h12,h10,h8,h6,h18,h16,h2,h0])],[47,role_hypothesis,h0])).
% 0.20/0.46 thf(49,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(50,plain,$false,inference(prop_unsat,[status(thm),assumptions([h13,h10,h8,h6,h18,h16,h2,h0])],[49,role_hypothesis,h0])).
% 0.20/0.46 thf(51,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h8,h6,h18,h16,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h10,48,50,h12,h13])).
% 0.20/0.46 thf(52,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(53,plain,$false,inference(prop_unsat,[status(thm),assumptions([h11,h8,h6,h18,h16,h2,h0])],[52,role_hypothesis,h0])).
% 0.20/0.46 thf(54,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h6,h18,h16,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h8,51,53,h10,h11])).
% 0.20/0.46 thf(55,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(56,plain,$false,inference(prop_unsat,[status(thm),assumptions([h9,h6,h18,h16,h2,h0])],[55,role_hypothesis,h0])).
% 0.20/0.46 thf(57,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h18,h16,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h6,54,56,h8,h9])).
% 0.20/0.46 thf(58,plain,(~(sP2) | ~(sP1)),inference(all_rule,[status(thm)],[])).
% 0.20/0.46 thf(59,plain,$false,inference(prop_unsat,[status(thm),assumptions([h7,h18,h16,h2,h0])],[58,role_hypothesis,h0])).
% 0.20/0.46 thf(60,plain,$false,inference(tab_imp,[status(thm),assumptions([h18,h16,h2,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[single_quoted,57,59,h6,h7])).
% 0.20/0.46 thf(61,plain,$false,inference(tab_negall,[status(thm),assumptions([h16,h2,h0]),tab_negall(discharge,[h18]),tab_negall(eigenvar,eigen__3)],[equality,60,h18])).
% 0.20/0.46 thf(62,plain,$false,inference(tab_imp,[status(thm),assumptions([h2,h0]),tab_imp(discharge,[h15]),tab_imp(discharge,[h16])],[h2,46,61,h15,h16])).
% 0.20/0.46 thf(propositional,axiom,((~((p0 => q0))) => ((~(r0)) => (~(s0))))).
% 0.20/0.46 thf(63,plain,$false,inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[propositional,31,62,h1,h2])).
% 0.20/0.46 thf(0,theorem,(~(sP2)),inference(contra,[status(thm),contra(discharge,[h0])],[63,h0])).
% 0.20/0.46 % SZS output end Proof
%------------------------------------------------------------------------------