%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:58:20 PM UTC 2026
% Result : Unsatisfiable 188.45s 35.54s
% Output : CNFRefutation 188.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 110 ( 110 unt; 7 def)
% Number of atoms : 299 ( 109 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 106 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(join(X0,X1),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H61_dual) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H6) ).
tcf(c_59,plain,
! [X0: $i] : meet(X0,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,join(meet(X0,X1),meet(join(X0,X1),X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) != meet(a,join(b,meet(a,c))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_78,negated_conjecture,
meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(theory_normalisation,[status(thm)],[c_68,c_66,c_64,c_65,c_63]) ).
tcf(c_103,definition,
iPr_def_10 = join(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_104,definition,
iPr_def_11 = meet(c,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_105,definition,
iPr_def_12 = meet(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_106,definition,
iPr_def_13 = join(b,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_107,definition,
iPr_def_14 = meet(a,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_108,definition,
iPr_def_15 = join(iPr_def_11,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_109,definition,
iPr_def_16 = meet(a,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_110,negated_conjecture,
iPr_def_16 != iPr_def_14,
inference(demodulation,[status(thm)],[c_78,c_105,c_106,c_107,c_103,c_104,c_108,c_109]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_65,c_63]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_66,c_64]) ).
tcf(c_176,plain,
meet(a,iPr_def_10) = a,
inference(superposition,[status(thm)],[c_103,c_61]) ).
tcf(c_180,plain,
meet(iPr_def_10,a) = a,
inference(demodulation,[status(thm)],[c_176,c_63]) ).
tcf(c_181,plain,
join(a,iPr_def_12) = a,
inference(superposition,[status(thm)],[c_105,c_62]) ).
tcf(c_187,plain,
join(iPr_def_12,a) = a,
inference(demodulation,[status(thm)],[c_181,c_64]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_193,plain,
meet(iPr_def_10,c) = iPr_def_11,
inference(superposition,[status(thm)],[c_63,c_104]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_64,c_61]) ).
tcf(c_199,plain,
join(iPr_def_12,b) = iPr_def_13,
inference(superposition,[status(thm)],[c_64,c_106]) ).
tcf(c_203,plain,
join(a,iPr_def_14) = a,
inference(superposition,[status(thm)],[c_107,c_62]) ).
tcf(c_204,plain,
meet(iPr_def_13,a) = iPr_def_14,
inference(superposition,[status(thm)],[c_107,c_63]) ).
tcf(c_205,plain,
join(iPr_def_14,a) = a,
inference(demodulation,[status(thm)],[c_203,c_64]) ).
tcf(c_211,plain,
meet(iPr_def_15,a) = iPr_def_16,
inference(superposition,[status(thm)],[c_109,c_63]) ).
tcf(c_216,plain,
meet(iPr_def_12,a) = iPr_def_12,
inference(superposition,[status(thm)],[c_187,c_61]) ).
tcf(c_217,plain,
join(iPr_def_10,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_193,c_62]) ).
tcf(c_218,plain,
meet(iPr_def_12,iPr_def_13) = iPr_def_12,
inference(superposition,[status(thm)],[c_199,c_61]) ).
tcf(c_236,plain,
! [X0: $i] : meet(a,meet(c,X0)) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_59,c_65]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[c_61,c_65]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_245,plain,
! [X0: $i] : meet(iPr_def_10,meet(a,X0)) = meet(a,X0),
inference(superposition,[status(thm)],[c_180,c_65]) ).
tcf(c_246,plain,
! [X0: $i] : meet(iPr_def_10,meet(c,X0)) = meet(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_193,c_65]) ).
tcf(c_247,plain,
! [X0: $i] : meet(iPr_def_13,meet(a,X0)) = meet(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_204,c_65]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(superposition,[status(thm)],[c_65,c_63]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_62,c_66]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_64,c_66]) ).
tcf(c_290,plain,
! [X0: $i] : join(iPr_def_12,join(a,X0)) = join(a,X0),
inference(superposition,[status(thm)],[c_187,c_66]) ).
tcf(c_291,plain,
! [X0: $i] : join(iPr_def_12,join(b,X0)) = join(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_199,c_66]) ).
tcf(c_292,plain,
! [X0: $i] : join(iPr_def_14,join(a,X0)) = join(a,X0),
inference(superposition,[status(thm)],[c_205,c_66]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[status(thm)],[c_66,c_64]) ).
tcf(c_330,plain,
! [X0: $i] : meet(a,join(iPr_def_14,meet(join(a,iPr_def_13),X0))) = join(iPr_def_14,meet(a,X0)),
inference(superposition,[status(thm)],[c_107,c_67]) ).
tcf(c_371,plain,
! [X0: $i] : meet(a,join(iPr_def_14,meet(join(iPr_def_13,a),X0))) = join(iPr_def_14,meet(a,X0)),
inference(demodulation,[status(thm)],[c_330,c_64]) ).
tcf(c_440,plain,
! [X0: $i] : meet(c,meet(X0,iPr_def_10)) = meet(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_104,c_170]) ).
tcf(c_445,plain,
! [X0: $i] : meet(iPr_def_10,meet(X0,a)) = meet(X0,a),
inference(superposition,[status(thm)],[c_180,c_170]) ).
tcf(c_475,plain,
! [X0: $i] : meet(X0,iPr_def_11) = meet(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_440,c_258,c_246]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i] : meet(X0,meet(X1,iPr_def_11)) = meet(iPr_def_11,meet(X0,X1)),
inference(superposition,[status(thm)],[c_475,c_170]) ).
tcf(c_565,plain,
meet(a,iPr_def_11) = meet(iPr_def_12,iPr_def_10),
inference(superposition,[status(thm)],[c_104,c_236]) ).
tcf(c_572,plain,
! [X0: $i] : join(a,meet(iPr_def_12,X0)) = a,
inference(superposition,[status(thm)],[c_236,c_62]) ).
tcf(c_575,plain,
meet(iPr_def_10,iPr_def_12) = meet(iPr_def_11,a),
inference(demodulation,[status(thm)],[c_565,c_63,c_475]) ).
tcf(c_600,plain,
join(iPr_def_11,meet(iPr_def_10,iPr_def_12)) = iPr_def_11,
inference(superposition,[status(thm)],[c_575,c_62]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_192,c_66]) ).
tcf(c_764,plain,
meet(iPr_def_11,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_217,c_198]) ).
tcf(c_769,plain,
! [X0: $i] : meet(meet(iPr_def_12,X0),a) = meet(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_572,c_198]) ).
tcf(c_771,plain,
meet(meet(iPr_def_10,iPr_def_12),iPr_def_11) = meet(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_600,c_198]) ).
tcf(c_785,plain,
meet(iPr_def_10,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_764,c_475]) ).
tcf(c_788,plain,
meet(iPr_def_10,meet(iPr_def_11,iPr_def_12)) = meet(iPr_def_10,iPr_def_12),
inference(demodulation,[status(thm)],[c_771,c_258,c_239,c_555]) ).
tcf(c_789,plain,
! [X0: $i] : meet(X0,iPr_def_12) = meet(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_769,c_216,c_239]) ).
tcf(c_969,plain,
! [X0: $i] : meet(X0,meet(iPr_def_11,X0)) = meet(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_475,c_237]) ).
tcf(c_1010,plain,
! [X0: $i] : meet(a,meet(iPr_def_10,X0)) = meet(a,X0),
inference(superposition,[status(thm)],[c_103,c_238]) ).
tcf(c_1049,plain,
! [X0: $i] : meet(X0,a) = meet(a,X0),
inference(demodulation,[status(thm)],[c_1010,c_258,c_445]) ).
tcf(c_1117,plain,
! [X0: $i,X1: $i] : meet(meet(iPr_def_11,X0),X1) = meet(iPr_def_11,meet(X0,X1)),
inference(superposition,[status(thm)],[c_475,c_239]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i] : meet(X0,meet(iPr_def_11,X1)) = meet(iPr_def_11,meet(X0,X1)),
inference(demodulation,[status(thm)],[c_1117,c_239]) ).
tcf(c_1199,plain,
! [X0: $i] : meet(iPr_def_10,meet(iPr_def_11,X0)) = meet(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_785,c_65]) ).
tcf(c_1243,plain,
! [X0: $i] : meet(iPr_def_10,meet(meet(iPr_def_11,iPr_def_12),X0)) = meet(meet(iPr_def_10,iPr_def_12),X0),
inference(superposition,[status(thm)],[c_788,c_65]) ).
tcf(c_1246,plain,
join(meet(iPr_def_11,iPr_def_12),meet(iPr_def_10,iPr_def_12)) = meet(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_788,c_192]) ).
tcf(c_1248,plain,
join(meet(iPr_def_10,iPr_def_12),meet(iPr_def_11,iPr_def_12)) = meet(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_1246,c_64]) ).
tcf(c_1249,plain,
! [X0: $i] : meet(iPr_def_10,meet(X0,iPr_def_12)) = meet(iPr_def_11,meet(iPr_def_12,X0)),
inference(demodulation,[status(thm)],[c_1243,c_258,c_239,c_1163,c_1199]) ).
tcf(c_1260,plain,
meet(meet(iPr_def_11,iPr_def_12),meet(iPr_def_11,iPr_def_12)) = meet(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_1248,c_198]) ).
tcf(c_1261,plain,
! [X0: $i] : join(meet(iPr_def_10,iPr_def_12),join(X0,meet(iPr_def_11,iPr_def_12))) = join(X0,meet(iPr_def_11,iPr_def_12)),
inference(superposition,[status(thm)],[c_1248,c_171]) ).
tcf(c_1263,plain,
meet(iPr_def_10,iPr_def_12) = meet(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_1260,c_239,c_788,c_969,c_1163,c_1249]) ).
tcf(c_1537,plain,
meet(iPr_def_10,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_105,c_245]) ).
tcf(c_1570,plain,
meet(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(ac_demodulation,[status(thm)],[c_1263,c_1537,c_65,c_63,c_66,c_64]) ).
tcf(c_1579,plain,
meet(iPr_def_11,a) = iPr_def_12,
inference(ac_demodulation,[status(thm)],[c_575,c_1537,c_65,c_63,c_66,c_64]) ).
tcf(c_1608,plain,
! [X0: $i] : join(meet(iPr_def_10,iPr_def_12),join(X0,iPr_def_12)) = join(X0,iPr_def_12),
inference(ac_demodulation,[status(thm)],[c_1261,c_1570,c_65,c_63,c_66,c_64]) ).
tcf(c_1611,plain,
! [X0: $i] : join(X0,iPr_def_12) = join(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_1608,c_303,c_710]) ).
tcf(c_1716,plain,
meet(iPr_def_13,iPr_def_12) = meet(iPr_def_14,c),
inference(superposition,[status(thm)],[c_105,c_247]) ).
tcf(c_1721,plain,
! [X0: $i] : meet(iPr_def_14,join(X0,a)) = meet(iPr_def_13,a),
inference(superposition,[status(thm)],[c_198,c_247]) ).
tcf(c_1740,plain,
meet(iPr_def_14,c) = iPr_def_12,
inference(demodulation,[status(thm)],[c_1716,c_218,c_789]) ).
tcf(c_1741,plain,
! [X0: $i] : meet(iPr_def_14,join(X0,a)) = iPr_def_14,
inference(demodulation,[status(thm)],[c_1721,c_204]) ).
tcf(c_1863,plain,
join(iPr_def_14,iPr_def_12) = iPr_def_14,
inference(superposition,[status(thm)],[c_1740,c_62]) ).
tcf(c_1867,plain,
join(iPr_def_12,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_1863,c_1611]) ).
tcf(c_1919,plain,
! [X0: $i] : join(iPr_def_12,join(X0,iPr_def_14)) = join(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_1867,c_171]) ).
tcf(c_2588,plain,
! [X0: $i] : join(join(X0,a),iPr_def_14) = join(X0,a),
inference(superposition,[status(thm)],[c_1741,c_192]) ).
tcf(c_2592,plain,
! [X0: $i] : join(X0,a) = join(a,X0),
inference(demodulation,[status(thm)],[c_2588,c_303,c_285,c_292]) ).
tcf(c_4738,plain,
! [X0: $i] : join(iPr_def_14,join(iPr_def_12,X0)) = join(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_1740,c_284]) ).
tcf(c_4794,plain,
! [X0: $i] : join(X0,iPr_def_14) = join(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_4738,c_303,c_1919]) ).
tcf(c_5274,plain,
join(iPr_def_12,join(a,b)) = join(iPr_def_13,a),
inference(superposition,[status(thm)],[c_2592,c_291]) ).
tcf(c_5289,plain,
join(iPr_def_13,a) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5274,c_103,c_290]) ).
tcf(c_17006,plain,
meet(a,join(iPr_def_14,meet(iPr_def_11,join(iPr_def_13,a)))) = join(iPr_def_14,meet(a,iPr_def_11)),
inference(superposition,[status(thm)],[c_475,c_371]) ).
tcf(c_17044,plain,
iPr_def_14 = iPr_def_16,
inference(demodulation,[status(thm)],[c_17006,c_108,c_211,c_475,c_785,c_1049,c_1579,c_1867,c_4794,c_5289]) ).
tcf(c_17123,plain,
iPr_def_14 != iPr_def_14,
inference(demodulation,[status(thm)],[c_110,c_17044]) ).
tcf(c_17124,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_17123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n005.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Sep 23 20:27:02 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running UEQ theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 188.45/35.54 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 188.45/35.54 % SZS status Started for theBenchmark.p
% 188.45/35.54 % SZS status Unsatisfiable for theBenchmark.p
% 188.45/35.54
% 188.45/35.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 188.45/35.54
% 188.45/35.54 % ------ iProver source info
% 188.45/35.54
% 188.45/35.54 % git: date: 2026-07-19 20:42:38 +0200
% 188.45/35.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 188.45/35.54 % git: non_committed_changes: false
% 188.45/35.54
% 188.45/35.54 % ------ Parsing...% successful
% 188.45/35.54
% 188.45/35.54
% 188.45/35.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 188.45/35.54
% 188.45/35.54 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 188.45/35.54
% 188.45/35.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 188.45/35.54
% 188.45/35.54 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 188.45/35.54 % ------ Proving...
% 188.45/35.54 % ------ Problem Properties
% 188.45/35.54
% 188.45/35.54 %
% 188.45/35.54 % clauses 17
% 188.45/35.54 % conjectures 1
% 188.45/35.54 % EPR 1
% 188.45/35.54 % Horn 17
% 188.45/35.54 % unary 17
% 188.45/35.54 % binary 0
% 188.45/35.54 % lits 17
% 188.45/35.54 % lits eq 17
% 188.45/35.54 % fd_pure 0
% 188.45/35.54 % fd_pseudo 0
% 188.45/35.54 % fd_cond 0
% 188.45/35.54 % fd_pseudo_cond 0
% 188.45/35.54 % AC symbols 2
% 188.45/35.54
% 188.45/35.54 % ------ Input Options Time Limit: Unbounded
% 188.45/35.54
% 188.45/35.54
% 188.45/35.54 % ------
% 188.45/35.54 % Current options:
% 188.45/35.54 % ------
% 188.45/35.54
% 188.45/35.54
% 188.45/35.54 %
% 188.45/35.54
% 188.45/35.54 % ------ Proving...
% 188.45/35.54 %
% 188.45/35.54
% 188.45/35.54 % SZS status Unsatisfiable for theBenchmark.p
% 188.45/35.54
% 188.45/35.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 188.45/35.54
% 188.45/35.54
%------------------------------------------------------------------------------