%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP186-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 01:31:45 PM UTC 2026
% Result : Unsatisfiable 143.81s 32.43s
% Output : CNFRefutation 143.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 24
% Syntax : Number of formulae : 206 ( 206 unt; 7 def)
% Number of atoms : 599 ( 205 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 182 !; 0 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
fof(f7,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).
fof(f8,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
fof(f16,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
fof(f17,axiom,
inverse(identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_1) ).
fof(f18,plain,
identity = inverse(identity),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_2) ).
fof(f20,axiom,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_3) ).
fof(f21,negated_conjecture,
least_upper_bound(multiply(a,b),identity) != multiply(a,inverse(greatest_lower_bound(a,inverse(b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p23) ).
tcf(c_68,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_69,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
inference(cnf_transformation,[],[f11]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(cnf_transformation,[],[f12]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,greatest_lower_bound(X1,X2)),
inference(cnf_transformation,[],[f14]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
inference(cnf_transformation,[],[f15]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(greatest_lower_bound(X0,X2),X1),
inference(cnf_transformation,[],[f16]) ).
tcf(c_83,plain,
inverse(identity) = identity,
inference(cnf_transformation,[],[f18]) ).
tcf(c_84,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(cnf_transformation,[],[f19]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(cnf_transformation,[],[f20]) ).
tcf(c_86,negated_conjecture,
multiply(a,inverse(greatest_lower_bound(a,inverse(b)))) != least_upper_bound(multiply(a,b),identity),
inference(cnf_transformation,[],[f21]) ).
tcf(c_104,negated_conjecture,
multiply(a,inverse(greatest_lower_bound(a,inverse(b)))) != least_upper_bound(identity,multiply(a,b)),
inference(theory_normalisation,[status(thm)],[c_86,c_73,c_71,c_74,c_72]) ).
tcf(c_149,definition,
iPr_def_10 = inverse(b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_150,definition,
iPr_def_11 = greatest_lower_bound(a,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_151,definition,
iPr_def_12 = inverse(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_152,definition,
iPr_def_13 = multiply(a,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_153,definition,
iPr_def_14 = multiply(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_154,definition,
iPr_def_15 = least_upper_bound(identity,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_155,definition,
iPr_def_16 = inverse(identity),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_156,negated_conjecture,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_104,c_153,c_154,c_149,c_150,c_151,c_152]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_158,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_159,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(greatest_lower_bound(X0,X2),X1),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X2,X1)) = multiply(least_upper_bound(X0,X2),X1),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,greatest_lower_bound(X1,X2)),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] : least_upper_bound(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,least_upper_bound(X1,X2)),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i] : least_upper_bound(least_upper_bound(X0,X1),X2) = least_upper_bound(X0,least_upper_bound(X1,X2)),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(X0,greatest_lower_bound(X1,X2)),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_173,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_174,plain,
iPr_def_16 = identity,
inference(demodulation,[status(thm)],[c_83,c_155]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X1,least_upper_bound(X0,X2)),
inference(superposition,[status(thm)],[c_168,c_170]) ).
tcf(c_274,plain,
! [X0: $i] : multiply(iPr_def_16,X0) = X0,
inference(superposition,[status(thm)],[c_174,c_159]) ).
tcf(c_275,plain,
inverse(iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_155,c_173]) ).
tcf(c_276,plain,
inverse(iPr_def_10) = b,
inference(superposition,[status(thm)],[c_149,c_173]) ).
tcf(c_279,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_173,c_158]) ).
tcf(c_280,plain,
multiply(iPr_def_10,b) = identity,
inference(superposition,[status(thm)],[c_149,c_158]) ).
tcf(c_286,plain,
least_upper_bound(a,iPr_def_11) = a,
inference(superposition,[status(thm)],[c_150,c_165]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_170,c_164]) ).
tcf(c_293,plain,
least_upper_bound(iPr_def_14,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_170,c_154]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_171,c_165]) ).
tcf(c_300,plain,
greatest_lower_bound(iPr_def_10,a) = iPr_def_11,
inference(superposition,[status(thm)],[c_171,c_150]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_173,c_172]) ).
tcf(c_305,plain,
! [X0: $i] : inverse(multiply(X0,b)) = multiply(iPr_def_10,inverse(X0)),
inference(superposition,[status(thm)],[c_149,c_172]) ).
tcf(c_307,plain,
! [X0: $i] : inverse(multiply(identity,X0)) = multiply(inverse(X0),iPr_def_16),
inference(superposition,[status(thm)],[c_155,c_172]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_173,c_172]) ).
tcf(c_310,plain,
! [X0: $i] : inverse(multiply(iPr_def_11,X0)) = multiply(inverse(X0),iPr_def_12),
inference(superposition,[status(thm)],[c_151,c_172]) ).
tcf(c_311,plain,
! [X0: $i] : inverse(multiply(X0,inverse(X0))) = identity,
inference(superposition,[status(thm)],[c_172,c_158]) ).
tcf(c_317,plain,
! [X0: $i] : multiply(a,multiply(b,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_153,c_157]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_158,c_157]) ).
tcf(c_320,plain,
! [X0: $i] : multiply(a,multiply(iPr_def_12,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_152,c_157]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i] : greatest_lower_bound(X0,greatest_lower_bound(least_upper_bound(X0,X1),X2)) = greatest_lower_bound(X0,X2),
inference(superposition,[status(thm)],[c_164,c_169]) ).
tcf(c_354,plain,
! [X0: $i] : least_upper_bound(identity,least_upper_bound(X0,iPr_def_14)) = least_upper_bound(X0,iPr_def_15),
inference(superposition,[status(thm)],[c_154,c_266]) ).
tcf(c_375,plain,
! [X0: $i] : multiply(greatest_lower_bound(a,X0),b) = greatest_lower_bound(iPr_def_14,multiply(X0,b)),
inference(superposition,[status(thm)],[c_153,c_160]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(multiply(X0,X1),X1) = multiply(greatest_lower_bound(X0,identity),X1),
inference(superposition,[status(thm)],[c_159,c_160]) ).
tcf(c_385,plain,
! [X0: $i] : multiply(greatest_lower_bound(X0,a),iPr_def_12) = greatest_lower_bound(multiply(X0,iPr_def_12),iPr_def_13),
inference(superposition,[status(thm)],[c_152,c_160]) ).
tcf(c_401,plain,
! [X0: $i] : multiply(least_upper_bound(a,X0),iPr_def_12) = least_upper_bound(iPr_def_13,multiply(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_152,c_161]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] : least_upper_bound(multiply(X0,X1),X1) = multiply(least_upper_bound(X0,identity),X1),
inference(superposition,[status(thm)],[c_159,c_161]) ).
tcf(c_565,plain,
! [X0: $i] : multiply(a,least_upper_bound(X0,iPr_def_12)) = least_upper_bound(multiply(a,X0),iPr_def_13),
inference(superposition,[status(thm)],[c_152,c_163]) ).
tcf(c_767,plain,
inverse(iPr_def_16) = iPr_def_16,
inference(demodulation,[status(thm)],[c_275,c_174]) ).
tcf(c_768,plain,
least_upper_bound(iPr_def_16,iPr_def_14) = iPr_def_15,
inference(demodulation,[status(thm)],[c_293,c_170,c_174]) ).
tcf(c_769,plain,
least_upper_bound(iPr_def_11,a) = a,
inference(theory_normalisation,[status(thm)],[c_286,c_168,c_170,c_169,c_171]) ).
tcf(c_773,plain,
multiply(iPr_def_10,b) = iPr_def_16,
inference(demodulation,[status(thm)],[c_280,c_174]) ).
tcf(c_775,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = iPr_def_16,
inference(demodulation,[status(thm)],[c_279,c_174]) ).
tcf(c_776,plain,
identity = iPr_def_16,
inference(demodulation,[status(thm)],[c_311,c_767,c_775]) ).
tcf(c_780,plain,
! [X0: $i] : least_upper_bound(iPr_def_16,least_upper_bound(X0,iPr_def_14)) = least_upper_bound(X0,iPr_def_15),
inference(demodulation,[status(thm)],[c_354,c_776]) ).
tcf(c_784,plain,
! [X0: $i] : multiply(inverse(X0),iPr_def_16) = inverse(X0),
inference(demodulation,[status(thm)],[c_307,c_274,c_776]) ).
tcf(c_786,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_319,c_274,c_776]) ).
tcf(c_787,plain,
! [X0: $i] : multiply(a,least_upper_bound(X0,iPr_def_12)) = least_upper_bound(iPr_def_13,multiply(a,X0)),
inference(theory_normalisation,[status(thm)],[c_565,c_168,c_170,c_169,c_171]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i] : least_upper_bound(multiply(X0,X1),X1) = multiply(least_upper_bound(X0,iPr_def_16),X1),
inference(demodulation,[status(thm)],[c_404,c_776]) ).
tcf(c_793,plain,
! [X0: $i,X1: $i] : least_upper_bound(X0,multiply(X1,X0)) = multiply(least_upper_bound(X1,iPr_def_16),X0),
inference(theory_normalisation,[status(thm)],[c_792,c_168,c_170,c_169,c_171]) ).
tcf(c_796,plain,
! [X0: $i] : multiply(greatest_lower_bound(X0,a),iPr_def_12) = greatest_lower_bound(iPr_def_13,multiply(X0,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_385,c_168,c_170,c_169,c_171]) ).
tcf(c_797,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(multiply(X0,X1),X1) = multiply(greatest_lower_bound(X0,iPr_def_16),X1),
inference(demodulation,[status(thm)],[c_382,c_776]) ).
tcf(c_798,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,multiply(X1,X0)) = multiply(greatest_lower_bound(X1,iPr_def_16),X0),
inference(theory_normalisation,[status(thm)],[c_797,c_168,c_170,c_169,c_171]) ).
tcf(c_838,plain,
inverse(b) = iPr_def_10,
inference(superposition,[status(thm)],[c_276,c_173]) ).
tcf(c_881,plain,
! [X0: $i] : multiply(iPr_def_10,least_upper_bound(b,X0)) = least_upper_bound(iPr_def_16,multiply(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_773,c_163]) ).
tcf(c_895,plain,
! [X0: $i] : multiply(inverse(X0),X0) = iPr_def_16,
inference(superposition,[status(thm)],[c_173,c_775]) ).
tcf(c_897,plain,
multiply(iPr_def_11,iPr_def_12) = iPr_def_16,
inference(superposition,[status(thm)],[c_151,c_775]) ).
tcf(c_933,plain,
greatest_lower_bound(iPr_def_14,iPr_def_15) = iPr_def_14,
inference(superposition,[status(thm)],[c_768,c_292]) ).
tcf(c_1050,plain,
! [X0: $i] : multiply(X0,iPr_def_16) = X0,
inference(superposition,[status(thm)],[c_173,c_784]) ).
tcf(c_1096,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_173,c_786]) ).
tcf(c_1100,plain,
! [X0: $i] : multiply(b,multiply(iPr_def_10,X0)) = X0,
inference(superposition,[status(thm)],[c_276,c_786]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_172,c_786]) ).
tcf(c_1104,plain,
multiply(inverse(a),iPr_def_14) = b,
inference(superposition,[status(thm)],[c_153,c_786]) ).
tcf(c_1108,plain,
multiply(inverse(a),iPr_def_13) = iPr_def_12,
inference(superposition,[status(thm)],[c_152,c_786]) ).
tcf(c_1215,plain,
inverse(multiply(iPr_def_11,b)) = multiply(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_149,c_310]) ).
tcf(c_1221,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),inverse(multiply(iPr_def_11,X0))) = iPr_def_12,
inference(superposition,[status(thm)],[c_310,c_786]) ).
tcf(c_1262,plain,
multiply(iPr_def_14,inverse(b)) = multiply(a,iPr_def_16),
inference(superposition,[status(thm)],[c_775,c_317]) ).
tcf(c_1838,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_786,c_308]) ).
tcf(c_2396,plain,
! [X0: $i] : greatest_lower_bound(iPr_def_16,greatest_lower_bound(iPr_def_15,X0)) = greatest_lower_bound(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_768,c_342]) ).
tcf(c_2459,plain,
multiply(iPr_def_14,iPr_def_10) = a,
inference(demodulation,[status(thm)],[c_1262,c_838,c_1050]) ).
tcf(c_2501,plain,
! [X0: $i] : multiply(X0,inverse(multiply(iPr_def_11,X0))) = iPr_def_12,
inference(demodulation,[status(thm)],[c_1221,c_172,c_304]) ).
tcf(c_2519,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(demodulation,[status(thm)],[c_1103,c_172,c_304]) ).
tcf(c_2681,plain,
! [X0: $i,X1: $i] : least_upper_bound(X0,multiply(X0,X1)) = multiply(X0,least_upper_bound(iPr_def_16,X1)),
inference(superposition,[status(thm)],[c_1050,c_163]) ).
tcf(c_2682,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,multiply(X0,X1)) = multiply(X0,greatest_lower_bound(iPr_def_16,X1)),
inference(superposition,[status(thm)],[c_1050,c_162]) ).
tcf(c_2687,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(multiply(X0,X1),X0) = multiply(X0,greatest_lower_bound(X1,iPr_def_16)),
inference(superposition,[status(thm)],[c_1050,c_162]) ).
tcf(c_2739,plain,
! [X0: $i] : multiply(iPr_def_14,least_upper_bound(iPr_def_10,X0)) = least_upper_bound(a,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_2459,c_163]) ).
tcf(c_2848,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_10,X0)) = multiply(a,X0),
inference(superposition,[status(thm)],[c_1100,c_317]) ).
tcf(c_3065,plain,
multiply(a,b) = iPr_def_14,
inference(superposition,[status(thm)],[c_1104,c_1096]) ).
tcf(c_3066,plain,
multiply(a,iPr_def_12) = iPr_def_13,
inference(superposition,[status(thm)],[c_1108,c_1096]) ).
tcf(c_3186,plain,
inverse(multiply(iPr_def_10,iPr_def_12)) = multiply(iPr_def_11,b),
inference(superposition,[status(thm)],[c_1215,c_173]) ).
tcf(c_3241,plain,
! [X0: $i,X1: $i] : greatest_lower_bound(X0,multiply(X0,X1)) = multiply(X0,greatest_lower_bound(X1,iPr_def_16)),
inference(theory_normalisation,[status(thm)],[c_2687,c_168,c_170,c_169,c_171]) ).
tcf(c_4438,plain,
multiply(iPr_def_14,inverse(multiply(iPr_def_11,b))) = multiply(a,iPr_def_12),
inference(superposition,[status(thm)],[c_2501,c_317]) ).
tcf(c_5093,plain,
multiply(iPr_def_14,multiply(iPr_def_10,iPr_def_12)) = iPr_def_13,
inference(demodulation,[status(thm)],[c_4438,c_1215,c_3066]) ).
tcf(c_5672,plain,
multiply(inverse(iPr_def_14),iPr_def_13) = multiply(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_5093,c_786]) ).
tcf(c_6535,plain,
! [X0: $i] : least_upper_bound(greatest_lower_bound(iPr_def_15,X0),greatest_lower_bound(iPr_def_16,X0)) = greatest_lower_bound(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_2396,c_299]) ).
tcf(c_6666,plain,
! [X0: $i] : least_upper_bound(greatest_lower_bound(iPr_def_16,X0),greatest_lower_bound(iPr_def_15,X0)) = greatest_lower_bound(iPr_def_15,X0),
inference(theory_normalisation,[status(thm)],[c_6535,c_168,c_170,c_169,c_171]) ).
tcf(c_11132,plain,
multiply(greatest_lower_bound(a,iPr_def_10),b) = greatest_lower_bound(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_773,c_375]) ).
tcf(c_11197,plain,
multiply(least_upper_bound(a,iPr_def_11),iPr_def_12) = least_upper_bound(iPr_def_13,iPr_def_16),
inference(superposition,[status(thm)],[c_897,c_401]) ).
tcf(c_11707,plain,
multiply(a,least_upper_bound(b,iPr_def_12)) = least_upper_bound(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_3065,c_787]) ).
tcf(c_11733,plain,
multiply(a,least_upper_bound(iPr_def_12,b)) = least_upper_bound(iPr_def_13,iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_11707,c_168,c_170,c_169,c_171]) ).
tcf(c_11740,plain,
multiply(least_upper_bound(iPr_def_11,a),iPr_def_12) = least_upper_bound(iPr_def_13,iPr_def_16),
inference(theory_normalisation,[status(thm)],[c_11197,c_168,c_170,c_169,c_171]) ).
tcf(c_11741,plain,
least_upper_bound(iPr_def_13,iPr_def_16) = iPr_def_13,
inference(demodulation,[status(thm)],[c_11740,c_769,c_3066]) ).
tcf(c_11752,plain,
multiply(greatest_lower_bound(iPr_def_10,a),b) = greatest_lower_bound(iPr_def_16,iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_11132,c_168,c_170,c_169,c_171]) ).
tcf(c_11753,plain,
multiply(iPr_def_11,b) = greatest_lower_bound(iPr_def_16,iPr_def_14),
inference(demodulation,[status(thm)],[c_11752,c_300]) ).
tcf(c_13545,plain,
least_upper_bound(iPr_def_16,multiply(iPr_def_11,b)) = iPr_def_16,
inference(superposition,[status(thm)],[c_11753,c_165]) ).
tcf(c_14017,plain,
! [X0: $i] : multiply(least_upper_bound(inverse(X0),iPr_def_16),X0) = least_upper_bound(X0,identity),
inference(superposition,[status(thm)],[c_158,c_793]) ).
tcf(c_14051,plain,
multiply(least_upper_bound(iPr_def_14,iPr_def_16),iPr_def_10) = least_upper_bound(iPr_def_10,a),
inference(superposition,[status(thm)],[c_2459,c_793]) ).
tcf(c_14115,plain,
multiply(least_upper_bound(iPr_def_16,iPr_def_14),iPr_def_10) = least_upper_bound(iPr_def_10,a),
inference(theory_normalisation,[status(thm)],[c_14051,c_168,c_170,c_169,c_171]) ).
tcf(c_14116,plain,
multiply(iPr_def_15,iPr_def_10) = least_upper_bound(iPr_def_10,a),
inference(demodulation,[status(thm)],[c_14115,c_768]) ).
tcf(c_14138,plain,
! [X0: $i] : multiply(least_upper_bound(iPr_def_16,inverse(X0)),X0) = least_upper_bound(X0,identity),
inference(theory_normalisation,[status(thm)],[c_14017,c_168,c_170,c_169,c_171]) ).
tcf(c_14139,plain,
! [X0: $i] : multiply(least_upper_bound(iPr_def_16,inverse(X0)),X0) = least_upper_bound(X0,iPr_def_16),
inference(demodulation,[status(thm)],[c_14138,c_776]) ).
tcf(c_35499,plain,
multiply(least_upper_bound(iPr_def_16,multiply(iPr_def_11,b)),multiply(iPr_def_10,iPr_def_12)) = least_upper_bound(multiply(iPr_def_10,iPr_def_12),iPr_def_16),
inference(superposition,[status(thm)],[c_3186,c_14139]) ).
tcf(c_35732,plain,
multiply(least_upper_bound(iPr_def_16,multiply(iPr_def_11,b)),multiply(iPr_def_10,iPr_def_12)) = least_upper_bound(iPr_def_16,multiply(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_35499,c_168,c_170,c_169,c_171]) ).
tcf(c_35733,plain,
least_upper_bound(iPr_def_16,multiply(iPr_def_10,iPr_def_12)) = multiply(iPr_def_10,iPr_def_12),
inference(demodulation,[status(thm)],[c_35732,c_274,c_13545]) ).
tcf(c_45784,plain,
multiply(greatest_lower_bound(inverse(iPr_def_14),iPr_def_16),iPr_def_13) = greatest_lower_bound(iPr_def_13,multiply(iPr_def_10,iPr_def_12)),
inference(superposition,[status(thm)],[c_5672,c_798]) ).
tcf(c_46033,plain,
multiply(greatest_lower_bound(iPr_def_16,inverse(iPr_def_14)),iPr_def_13) = greatest_lower_bound(iPr_def_13,multiply(iPr_def_10,iPr_def_12)),
inference(theory_normalisation,[status(thm)],[c_45784,c_168,c_170,c_169,c_171]) ).
tcf(c_46034,plain,
multiply(greatest_lower_bound(iPr_def_16,inverse(iPr_def_14)),iPr_def_13) = iPr_def_16,
inference(demodulation,[status(thm)],[c_46033,c_300,c_796,c_897]) ).
tcf(c_47824,plain,
multiply(inverse(iPr_def_16),greatest_lower_bound(iPr_def_16,inverse(iPr_def_14))) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_46034,c_1838]) ).
tcf(c_48739,plain,
greatest_lower_bound(iPr_def_16,inverse(iPr_def_14)) = inverse(iPr_def_13),
inference(demodulation,[status(thm)],[c_47824,c_767,c_274]) ).
tcf(c_56179,plain,
multiply(iPr_def_10,least_upper_bound(b,iPr_def_12)) = multiply(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_881,c_35733]) ).
tcf(c_56364,plain,
multiply(iPr_def_10,least_upper_bound(iPr_def_12,b)) = multiply(iPr_def_10,iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_56179,c_168,c_170,c_169,c_171]) ).
tcf(c_59151,plain,
multiply(b,multiply(iPr_def_10,iPr_def_12)) = least_upper_bound(iPr_def_12,b),
inference(superposition,[status(thm)],[c_56364,c_1100]) ).
tcf(c_59229,plain,
least_upper_bound(iPr_def_12,b) = iPr_def_12,
inference(demodulation,[status(thm)],[c_59151,c_1100]) ).
tcf(c_60421,plain,
multiply(a,iPr_def_12) = least_upper_bound(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_59229,c_11733]) ).
tcf(c_61188,plain,
least_upper_bound(iPr_def_13,iPr_def_14) = iPr_def_13,
inference(demodulation,[status(thm)],[c_60421,c_3066]) ).
tcf(c_62036,plain,
least_upper_bound(iPr_def_13,iPr_def_15) = least_upper_bound(iPr_def_16,iPr_def_13),
inference(superposition,[status(thm)],[c_61188,c_780]) ).
tcf(c_62872,plain,
least_upper_bound(iPr_def_13,iPr_def_15) = least_upper_bound(iPr_def_13,iPr_def_16),
inference(theory_normalisation,[status(thm)],[c_62036,c_168,c_170,c_169,c_171]) ).
tcf(c_62873,plain,
least_upper_bound(iPr_def_13,iPr_def_15) = iPr_def_13,
inference(demodulation,[status(thm)],[c_62872,c_11741]) ).
tcf(c_138923,plain,
! [X0: $i] : multiply(X0,greatest_lower_bound(iPr_def_16,inverse(X0))) = greatest_lower_bound(X0,iPr_def_16),
inference(superposition,[status(thm)],[c_775,c_2682]) ).
tcf(c_144929,plain,
multiply(iPr_def_14,inverse(iPr_def_13)) = greatest_lower_bound(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_48739,c_138923]) ).
tcf(c_145252,plain,
multiply(iPr_def_14,inverse(iPr_def_13)) = greatest_lower_bound(iPr_def_16,iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_144929,c_168,c_170,c_169,c_171]) ).
tcf(c_145253,plain,
multiply(iPr_def_14,inverse(iPr_def_13)) = multiply(iPr_def_11,b),
inference(demodulation,[status(thm)],[c_145252,c_11753]) ).
tcf(c_146642,plain,
multiply(inverse(multiply(iPr_def_11,b)),iPr_def_14) = inverse(inverse(iPr_def_13)),
inference(superposition,[status(thm)],[c_145253,c_1838]) ).
tcf(c_147946,plain,
multiply(iPr_def_10,multiply(iPr_def_12,iPr_def_14)) = iPr_def_13,
inference(demodulation,[status(thm)],[c_146642,c_173,c_157,c_1215]) ).
tcf(c_148998,plain,
multiply(a,multiply(iPr_def_12,iPr_def_14)) = multiply(iPr_def_14,iPr_def_13),
inference(superposition,[status(thm)],[c_147946,c_2848]) ).
tcf(c_150282,plain,
multiply(iPr_def_13,iPr_def_14) = multiply(iPr_def_14,iPr_def_13),
inference(demodulation,[status(thm)],[c_148998,c_320]) ).
tcf(c_151531,plain,
multiply(least_upper_bound(iPr_def_14,iPr_def_16),iPr_def_13) = least_upper_bound(iPr_def_13,multiply(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_150282,c_793]) ).
tcf(c_152481,plain,
multiply(least_upper_bound(iPr_def_16,iPr_def_14),iPr_def_13) = least_upper_bound(iPr_def_13,multiply(iPr_def_13,iPr_def_14)),
inference(theory_normalisation,[status(thm)],[c_151531,c_168,c_170,c_169,c_171]) ).
tcf(c_152482,plain,
multiply(iPr_def_13,iPr_def_15) = multiply(iPr_def_15,iPr_def_13),
inference(demodulation,[status(thm)],[c_152481,c_768,c_2681]) ).
tcf(c_153624,plain,
multiply(inverse(multiply(iPr_def_13,iPr_def_15)),iPr_def_15) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_152482,c_1838]) ).
tcf(c_154588,plain,
multiply(least_upper_bound(iPr_def_14,iPr_def_16),a) = multiply(iPr_def_14,least_upper_bound(iPr_def_10,a)),
inference(superposition,[status(thm)],[c_2739,c_793]) ).
tcf(c_154654,plain,
multiply(least_upper_bound(iPr_def_16,iPr_def_14),a) = multiply(iPr_def_14,least_upper_bound(iPr_def_10,a)),
inference(theory_normalisation,[status(thm)],[c_154588,c_168,c_170,c_169,c_171]) ).
tcf(c_154655,plain,
multiply(iPr_def_14,multiply(iPr_def_15,iPr_def_10)) = multiply(iPr_def_15,a),
inference(demodulation,[status(thm)],[c_154654,c_768,c_14116]) ).
tcf(c_156622,plain,
multiply(multiply(iPr_def_13,iPr_def_15),inverse(iPr_def_13)) = iPr_def_15,
inference(superposition,[status(thm)],[c_153624,c_1096]) ).
tcf(c_156946,plain,
multiply(multiply(iPr_def_15,iPr_def_10),inverse(multiply(iPr_def_15,a))) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_154655,c_2519]) ).
tcf(c_157130,plain,
multiply(iPr_def_13,multiply(iPr_def_15,inverse(iPr_def_13))) = iPr_def_15,
inference(demodulation,[status(thm)],[c_156622,c_157]) ).
tcf(c_157161,plain,
multiply(iPr_def_15,inverse(multiply(iPr_def_15,iPr_def_14))) = inverse(iPr_def_14),
inference(demodulation,[status(thm)],[c_156946,c_157,c_305,c_3065]) ).
tcf(c_158274,plain,
multiply(iPr_def_13,least_upper_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_13)))) = least_upper_bound(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_157130,c_2681]) ).
tcf(c_158621,plain,
multiply(multiply(iPr_def_15,iPr_def_14),inverse(iPr_def_15)) = inverse(inverse(iPr_def_14)),
inference(superposition,[status(thm)],[c_157161,c_304]) ).
tcf(c_158938,plain,
multiply(iPr_def_15,multiply(iPr_def_14,inverse(iPr_def_15))) = iPr_def_14,
inference(demodulation,[status(thm)],[c_158621,c_173,c_157]) ).
tcf(c_158978,plain,
multiply(iPr_def_13,least_upper_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_13)))) = iPr_def_13,
inference(demodulation,[status(thm)],[c_158274,c_62873]) ).
tcf(c_161693,plain,
inverse(multiply(iPr_def_14,inverse(iPr_def_15))) = multiply(inverse(iPr_def_14),iPr_def_15),
inference(superposition,[status(thm)],[c_158938,c_1838]) ).
tcf(c_162051,plain,
least_upper_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_13))) = multiply(inverse(iPr_def_13),iPr_def_13),
inference(superposition,[status(thm)],[c_158978,c_786]) ).
tcf(c_162362,plain,
multiply(inverse(iPr_def_14),iPr_def_15) = multiply(iPr_def_15,inverse(iPr_def_14)),
inference(demodulation,[status(thm)],[c_161693,c_304]) ).
tcf(c_162378,plain,
least_upper_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_13))) = iPr_def_16,
inference(demodulation,[status(thm)],[c_162051,c_895]) ).
tcf(c_162854,plain,
multiply(iPr_def_14,multiply(iPr_def_15,inverse(iPr_def_14))) = iPr_def_15,
inference(superposition,[status(thm)],[c_162362,c_1096]) ).
tcf(c_164793,plain,
multiply(iPr_def_14,greatest_lower_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_14)))) = greatest_lower_bound(iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_162854,c_2682]) ).
tcf(c_165741,plain,
multiply(iPr_def_14,greatest_lower_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_14)))) = iPr_def_14,
inference(demodulation,[status(thm)],[c_164793,c_933]) ).
tcf(c_167097,plain,
greatest_lower_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_14))) = multiply(inverse(iPr_def_14),iPr_def_14),
inference(superposition,[status(thm)],[c_165741,c_786]) ).
tcf(c_167778,plain,
greatest_lower_bound(iPr_def_16,multiply(iPr_def_15,inverse(iPr_def_14))) = iPr_def_16,
inference(demodulation,[status(thm)],[c_167097,c_895]) ).
tcf(c_206788,plain,
least_upper_bound(iPr_def_16,greatest_lower_bound(iPr_def_15,multiply(iPr_def_15,inverse(iPr_def_14)))) = greatest_lower_bound(iPr_def_15,multiply(iPr_def_15,inverse(iPr_def_14))),
inference(superposition,[status(thm)],[c_167778,c_6666]) ).
tcf(c_207854,plain,
multiply(iPr_def_15,inverse(iPr_def_13)) = iPr_def_16,
inference(demodulation,[status(thm)],[c_206788,c_171,c_3241,c_48739,c_162378]) ).
tcf(c_209075,plain,
multiply(iPr_def_13,iPr_def_16) = iPr_def_15,
inference(superposition,[status(thm)],[c_207854,c_157130]) ).
tcf(c_209755,plain,
iPr_def_13 = iPr_def_15,
inference(demodulation,[status(thm)],[c_209075,c_1050]) ).
tcf(c_210094,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_209755,c_156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP186-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 14:04:12 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 143.81/32.43 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 143.81/32.43 % SZS status Started for theBenchmark.p
% 143.81/32.43 % SZS status Unsatisfiable for theBenchmark.p
% 143.81/32.43
% 143.81/32.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 143.81/32.43
% 143.81/32.43 % ------ iProver source info
% 143.81/32.43
% 143.81/32.43 % git: date: 2026-07-19 20:42:38 +0200
% 143.81/32.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 143.81/32.43 % git: non_committed_changes: false
% 143.81/32.43
% 143.81/32.43 % ------ Parsing...% successful
% 143.81/32.43
% 143.81/32.43
% 143.81/32.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 143.81/32.43
% 143.81/32.43 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 143.81/32.43
% 143.81/32.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 143.81/32.43
% 143.81/32.43 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 143.81/32.43 % ------ Proving...
% 143.81/32.43 % ------ Problem Properties
% 143.81/32.43
% 143.81/32.43 %
% 143.81/32.43 % clauses 26
% 143.81/32.43 % conjectures 1
% 143.81/32.43 % EPR 2
% 143.81/32.43 % Horn 26
% 143.81/32.43 % unary 26
% 143.81/32.43 % binary 0
% 143.81/32.43 % lits 26
% 143.81/32.43 % lits eq 26
% 143.81/32.43 % fd_pure 0
% 143.81/32.43 % fd_pseudo 0
% 143.81/32.43 % fd_cond 0
% 143.81/32.43 % fd_pseudo_cond 0
% 143.81/32.43 % AC symbols 2
% 143.81/32.43
% 143.81/32.43 % ------ Input Options Time Limit: Unbounded
% 143.81/32.43
% 143.81/32.43
% 143.81/32.43 % ------
% 143.81/32.43 % Current options:
% 143.81/32.43 % ------
% 143.81/32.43
% 143.81/32.43
% 143.81/32.43 %
% 143.81/32.43
% 143.81/32.43 % ------ Proving...
% 143.81/32.43 %
% 143.81/32.43
% 143.81/32.43 % SZS status Unsatisfiable for theBenchmark.p
% 143.81/32.43
% 143.81/32.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 143.81/32.43
% 143.81/32.43
%------------------------------------------------------------------------------