%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP215-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 01:31:49 PM UTC 2026
% Result : Unsatisfiable 3.71s 1.98s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 35
% Syntax : Number of formulae : 330 ( 89 unt; 9 def)
% Number of atoms : 1121 ( 606 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 592 ( 241 ~; 351 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 97 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c7
| multiply(X4,sk_c7) != X3
| multiply(sk_c7,X3) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c7
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != inverse(X4)
| multiply(X4,sk_c7) != X3
| sk_c6 != multiply(sk_c7,X3)
| sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2)
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
! [X2,X0,X1,X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2)
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7) ),
inference(equality_resolution,[],[f46]) ).
tcf(c_73,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_74,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_76,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_77,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_78,negated_conjecture,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_79,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_80,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_81,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_82,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_83,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_87,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 )
| ( multiply(sk_c7,multiply(X3,sk_c7)) != sk_c6 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_301,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_96]) ).
tcf(c_302,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_96]) ).
tcf(c_303,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_96]) ).
tcf(c_304,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_96]) ).
tcf(c_305,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_96]) ).
tcf(c_306,definition,
iPr_def_14 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_307,definition,
iPr_def_15 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_308,definition,
iPr_def_16 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_309,definition,
iPr_def_17 = multiply(sk_c7,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_310,definition,
iPr_def_18 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_311,definition,
iPr_def_19 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_312,definition,
iPr_def_20 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_313,definition,
iPr_def_21 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_314,definition,
iPr_def_22 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_315,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_305]) ).
tcf(c_316,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_304]) ).
tcf(c_317,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_303]) ).
tcf(c_318,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_302]) ).
tcf(c_319,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_301]) ).
tcf(c_320,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95,c_307,c_306]) ).
tcf(c_321,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94,c_308]) ).
tcf(c_322,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93,c_309]) ).
tcf(c_323,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_92,c_310]) ).
tcf(c_324,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_91,c_311]) ).
tcf(c_325,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_90,c_312]) ).
tcf(c_326,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_327,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_328,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_329,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_330,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_85,c_313]) ).
tcf(c_331,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_332,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_333,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_334,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_335,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_80,c_314]) ).
tcf(c_336,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_337,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_338,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_339,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_340,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_346,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_556,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_326,c_309]) ).
tcf(c_577,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_323,c_312]) ).
tcf(c_578,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_322,c_312]) ).
tcf(c_595,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_327,c_312]) ).
tcf(c_618,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_328,c_308]) ).
tcf(c_628,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_329,c_308]) ).
tcf(c_643,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_330,c_308]) ).
tcf(c_661,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_331,c_309]) ).
tcf(c_671,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_332,c_312]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c6 )
| ( sk_c6 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_701,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_333,c_308]) ).
tcf(c_713,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_728,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_334,c_308]) ).
tcf(c_739,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_334,c_314]) ).
tcf(c_740,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_333,c_314]) ).
tcf(c_741,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_330,c_314]) ).
tcf(c_744,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_325,c_314]) ).
tcf(c_761,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_716]) ).
tcf(c_765,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_768,plain,
multiply(iPr_def_19,sk_c3) = identity,
inference(superposition,[status(thm)],[c_311,c_74]) ).
tcf(c_769,plain,
multiply(iPr_def_14,sk_c4) = identity,
inference(superposition,[status(thm)],[c_306,c_74]) ).
tcf(c_770,plain,
multiply(iPr_def_21,sk_c1) = identity,
inference(superposition,[status(thm)],[c_313,c_74]) ).
tcf(c_771,plain,
multiply(iPr_def_15,sk_c2) = identity,
inference(superposition,[status(thm)],[c_307,c_74]) ).
tcf(c_784,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_19 )
| ( iPr_def_19 != inverse(sk_c3) )
| ( inverse(X0) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_801,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_335,c_312]) ).
tcf(c_802,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_335,c_310]) ).
tcf(c_832,plain,
( ( sk_c6 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_336,c_309]) ).
tcf(c_847,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_337,c_312]) ).
tcf(c_848,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_337,c_310]) ).
tcf(c_885,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_886,plain,
( ( sk_c6 = sk_c7 )
| ( sk_c6 != sk_c6 )
| ( sk_c7 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_885]) ).
tcf(c_911,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_338,c_312]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != iPr_def_19 )
| ( inverse(X0) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_716]) ).
tcf(c_953,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_339,c_312]) ).
tcf(c_986,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_18 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_310,c_317]) ).
tcf(c_987,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_312,c_317]) ).
tcf(c_1003,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_20 )
| ( sk_c7 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_987,c_307]) ).
tcf(c_1007,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_19 )
| ( sk_c7 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_986,c_311]) ).
tcf(c_1084,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_1106,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_22 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_314,c_318]) ).
tcf(c_1107,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_16 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_308,c_318]) ).
tcf(c_1109,plain,
( ~ iPr_def_11
| ( sk_c6 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_74,c_318]) ).
tcf(c_1119,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_16 )
| ( sk_c7 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_1107,c_306]) ).
tcf(c_1123,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_22 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_1106,c_313]) ).
tcf(c_1176,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_312,c_319]) ).
tcf(c_1192,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_15 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_1176,c_307]) ).
tcf(c_1267,plain,
( ( inverse(sk_c3) = iPr_def_19 )
| ( iPr_def_19 != inverse(sk_c3) )
| ( inverse(sk_c3) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_1268,plain,
inverse(sk_c3) = inverse(sk_c3),
inference(instantiation,[status(thm)],[c_713]) ).
tcf(c_1323,plain,
( ~ iPr_def_13
| ( inverse(sk_c4) != sk_c7 )
| ( multiply(sk_c7,iPr_def_16) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_308,c_316]) ).
tcf(c_1325,plain,
( ~ iPr_def_13
| ( inverse(inverse(sk_c7)) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_74,c_316]) ).
tcf(c_1335,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_14 )
| ( multiply(sk_c7,iPr_def_16) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1323,c_306]) ).
tcf(c_1388,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_1471,plain,
iPr_def_15 = iPr_def_15,
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_1649,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_310,c_75]) ).
tcf(c_1650,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_309,c_75]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_74,c_75]) ).
tcf(c_1656,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_768,c_75]) ).
tcf(c_1657,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_769,c_75]) ).
tcf(c_1658,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_770,c_75]) ).
tcf(c_1659,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_771,c_75]) ).
tcf(c_1665,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1659,c_73]) ).
tcf(c_1666,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1658,c_73]) ).
tcf(c_1667,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1657,c_73]) ).
tcf(c_1668,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1656,c_73]) ).
tcf(c_1706,plain,
! [X0: $i] :
( ( inverse(sk_c3) = X0 )
| ( X0 != iPr_def_19 )
| ( inverse(sk_c3) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_1707,plain,
( ( inverse(sk_c3) = sk_c7 )
| ( sk_c7 != iPr_def_19 )
| ( inverse(sk_c3) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1706]) ).
tcf(c_1765,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( iPr_def_15 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1084]) ).
tcf(c_1766,plain,
( ( sk_c7 = iPr_def_15 )
| ( iPr_def_15 != sk_c6 )
| ( sk_c7 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1765]) ).
tcf(c_2094,plain,
multiply(iPr_def_15,iPr_def_20) = sk_c6,
inference(superposition,[status(thm)],[c_312,c_1665]) ).
tcf(c_2097,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2094,c_75]) ).
tcf(c_2450,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_314,c_1666]) ).
tcf(c_2493,plain,
! [X0: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1388]) ).
tcf(c_2502,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2450,c_75]) ).
tcf(c_2506,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c7,
inference(superposition,[status(thm)],[c_308,c_1667]) ).
tcf(c_2518,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2506,c_75]) ).
tcf(c_2520,plain,
multiply(iPr_def_19,iPr_def_18) = sk_c6,
inference(superposition,[status(thm)],[c_310,c_1668]) ).
tcf(c_2545,plain,
( ~ iPr_def_10
| ( inverse(sk_c2) != sk_c6 )
| ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_2553,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2520,c_75]) ).
tcf(c_2634,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_577,c_1665]) ).
tcf(c_2635,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2634,c_2094]) ).
tcf(c_2646,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_578,c_1665]) ).
tcf(c_2647,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2646,c_2094]) ).
tcf(c_2670,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_595,c_1665]) ).
tcf(c_2671,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2670,c_2094]) ).
tcf(c_2710,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_618,c_1667]) ).
tcf(c_2711,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2710,c_2506]) ).
tcf(c_2758,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_628,c_1667]) ).
tcf(c_2759,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2758,c_2506]) ).
tcf(c_2794,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_643,c_1667]) ).
tcf(c_2795,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_2794,c_2506]) ).
tcf(c_2928,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_671,c_1665]) ).
tcf(c_2929,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2928,c_2094]) ).
tcf(c_2971,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_701,c_1667]) ).
tcf(c_2972,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2971,c_2506]) ).
tcf(c_3004,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_728,c_1667]) ).
tcf(c_3005,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3004,c_2506]) ).
tcf(c_3235,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_744,c_1666]) ).
tcf(c_3236,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_3235,c_2450]) ).
tcf(c_3250,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_801,c_1665]) ).
tcf(c_3251,plain,
( ( sk_c6 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_3250,c_2094]) ).
tcf(c_3318,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_847,c_1665]) ).
tcf(c_3319,plain,
( ( sk_c6 = iPr_def_22 )
| ( sk_c6 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3318,c_2094]) ).
tcf(c_3364,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_911,c_1665]) ).
tcf(c_3365,plain,
( ( sk_c6 = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_3364,c_2094]) ).
tcf(c_3392,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_953,c_1665]) ).
tcf(c_3393,plain,
( ( sk_c6 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3392,c_2094]) ).
tcf(c_4119,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_19 )
| ( iPr_def_19 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_4120,plain,
( ( sk_c7 = iPr_def_19 )
| ( iPr_def_19 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_4119]) ).
tcf(c_4126,plain,
( ~ iPr_def_10
| ( inverse(sk_c3) != sk_c6 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_4129,plain,
! [X0: $i] :
( ( inverse(sk_c3) = sk_c6 )
| ( sk_c6 != X0 )
| ( inverse(sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_4130,plain,
( ( inverse(sk_c3) = sk_c6 )
| ( sk_c6 != sk_c7 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_4129]) ).
tcf(c_4430,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1654,c_73]) ).
tcf(c_4435,plain,
multiply(inverse(sk_c1),iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_314,c_4430]) ).
tcf(c_4436,plain,
multiply(inverse(sk_c3),iPr_def_18) = sk_c6,
inference(superposition,[status(thm)],[c_310,c_4430]) ).
tcf(c_4437,plain,
multiply(inverse(sk_c7),iPr_def_17) = sk_c5,
inference(superposition,[status(thm)],[c_309,c_4430]) ).
tcf(c_4440,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_73,c_4430]) ).
tcf(c_4441,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_74,c_4430]) ).
tcf(c_4474,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_744,c_4430]) ).
tcf(c_4487,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_848,c_4430]) ).
tcf(c_4488,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(inverse(sk_c3),iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_802,c_4430]) ).
tcf(c_4507,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1668,c_4430]) ).
tcf(c_4508,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1667,c_4430]) ).
tcf(c_4509,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1666,c_4430]) ).
tcf(c_4510,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1665,c_4430]) ).
tcf(c_4529,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4430,c_4430]) ).
tcf(c_4725,plain,
( ~ iPr_def_13
| ( inverse(inverse(identity)) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4440,c_316]) ).
tcf(c_4729,plain,
( ~ iPr_def_10
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(identity)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4440,c_319]) ).
tcf(c_4730,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(identity)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4440,c_317]) ).
tcf(c_4755,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4441,c_4529]) ).
tcf(c_4763,plain,
multiply(sk_c7,identity) = multiply(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_4755,c_2502]) ).
tcf(c_4766,plain,
multiply(sk_c6,identity) = multiply(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_4755,c_2553]) ).
tcf(c_4768,plain,
multiply(sk_c3,sk_c6) = multiply(iPr_def_18,identity),
inference(superposition,[status(thm)],[c_4755,c_1649]) ).
tcf(c_4769,plain,
multiply(sk_c7,sk_c5) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_4755,c_1650]) ).
tcf(c_4770,plain,
multiply(sk_c7,identity) = multiply(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_4755,c_2518]) ).
tcf(c_4771,plain,
multiply(sk_c6,identity) = multiply(iPr_def_15,iPr_def_20),
inference(superposition,[status(thm)],[c_4755,c_2097]) ).
tcf(c_4776,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4755,c_4440]) ).
tcf(c_4777,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_4771,c_2094]) ).
tcf(c_4778,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_4770,c_2506]) ).
tcf(c_4779,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_4769,c_309]) ).
tcf(c_4780,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_4768,c_310]) ).
tcf(c_5218,plain,
! [X0: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != iPr_def_17 )
| ( X0 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_1388]) ).
tcf(c_5223,plain,
( ( sk_c7 = sk_c6 )
| ( sk_c6 != iPr_def_17 )
| ( sk_c7 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_5218]) ).
tcf(c_5344,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_1003,c_1007,c_1003,c_2711,c_2759]) ).
tcf(c_5508,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_16 ) ),
inference(global_subsumption_just,[status(thm)],[c_1119,c_1123,c_1119,c_2795,c_3251]) ).
tcf(c_5524,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_339,c_5508]) ).
tcf(c_5525,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_338,c_5508]) ).
tcf(c_5526,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_337,c_5508]) ).
tcf(c_5527,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_335,c_5508]) ).
tcf(c_5628,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_5524,c_1123,c_3005,c_3393]) ).
tcf(c_5634,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_5525,c_1123,c_2972,c_3365]) ).
tcf(c_5644,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_19)) != sk_c7 )
| ( multiply(sk_c7,multiply(sk_c3,sk_c7)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4507,c_316]) ).
tcf(c_5646,plain,
multiply(sk_c3,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_4507,c_74]) ).
tcf(c_5651,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_4507,c_4430]) ).
tcf(c_5652,plain,
multiply(sk_c3,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_4507,c_4755]) ).
tcf(c_5692,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_5526,c_1123,c_2929,c_3319]) ).
tcf(c_5717,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_5527,c_1123,c_2795,c_3251]) ).
tcf(c_5785,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_5646,c_1668]) ).
tcf(c_5869,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_324,c_1192]) ).
tcf(c_5872,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_320,c_1192]) ).
tcf(c_5920,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_5869,c_2759,c_5869]) ).
tcf(c_5926,plain,
inverse(iPr_def_19) = sk_c3,
inference(demodulation,[status(thm)],[c_5652,c_4755]) ).
tcf(c_5946,plain,
multiply(sk_c3,sk_c6) = iPr_def_18,
inference(superposition,[status(thm)],[c_2520,c_5651]) ).
tcf(c_5987,plain,
multiply(sk_c4,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_4508,c_74]) ).
tcf(c_5992,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_4508,c_4430]) ).
tcf(c_5993,plain,
multiply(sk_c4,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_4508,c_4755]) ).
tcf(c_6124,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_5872,c_3236,c_5872]) ).
tcf(c_6274,plain,
inverse(iPr_def_14) = sk_c4,
inference(demodulation,[status(thm)],[c_5993,c_4755]) ).
tcf(c_6281,plain,
multiply(sk_c4,sk_c7) = iPr_def_16,
inference(superposition,[status(thm)],[c_2506,c_5992]) ).
tcf(c_6366,plain,
multiply(sk_c1,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_4509,c_74]) ).
tcf(c_6372,plain,
multiply(sk_c1,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_4509,c_4755]) ).
tcf(c_6393,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_741,c_6366]) ).
tcf(c_6394,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_740,c_6366]) ).
tcf(c_6395,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_739,c_6366]) ).
tcf(c_6453,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_6366,c_1666]) ).
tcf(c_6486,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c6 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6393,c_1109]) ).
tcf(c_6560,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c6 != identity ) ),
inference(ground_joinability,[status(thm)],[c_6486,c_306,c_6274]) ).
tcf(c_6705,plain,
( ( identity = iPr_def_22 )
| ( sk_c6 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6394,c_832]) ).
tcf(c_6706,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6394,c_661]) ).
tcf(c_6708,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6394,c_556]) ).
tcf(c_6722,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6394,c_308]) ).
tcf(c_6834,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6395,c_6394]) ).
tcf(c_6838,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_18 != iPr_def_19 )
| ( sk_c7 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_6395,c_1007]) ).
tcf(c_6854,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6395,c_556]) ).
tcf(c_6868,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6395,c_308]) ).
tcf(c_7002,plain,
inverse(iPr_def_21) = sk_c1,
inference(demodulation,[status(thm)],[c_6372,c_4755]) ).
tcf(c_7172,plain,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c6 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_2493]) ).
tcf(c_7185,plain,
( ~ iPr_def_10
| ( sk_c7 != sk_c6 ) ),
inference(global_subsumption_just,[status(thm)],[c_4729,c_92,c_87,c_311,c_765,c_886,c_1267,c_1268,c_1707,c_2545,c_4126,c_4130,c_5920]) ).
tcf(c_7203,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_337,c_7185]) ).
tcf(c_7205,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_332,c_7185]) ).
tcf(c_7235,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_7203,c_1192,c_2647,c_2671]) ).
tcf(c_7241,plain,
( ( sk_c7 != iPr_def_17 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_7205,c_5223,c_7185,c_7235]) ).
tcf(c_7242,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_7241]) ).
tcf(c_7248,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6394,c_7242]) ).
tcf(c_7564,plain,
multiply(sk_c2,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_4510,c_74]) ).
tcf(c_7567,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_15)) != sk_c6 )
| ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4510,c_319]) ).
tcf(c_7569,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_4510,c_4430]) ).
tcf(c_7570,plain,
multiply(sk_c2,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_4510,c_4755]) ).
tcf(c_7575,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 )
| ( inverse(inverse(iPr_def_15)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_7567,c_312]) ).
tcf(c_7606,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 ) ),
inference(global_subsumption_just,[status(thm)],[c_4730,c_346,c_324,c_1007,c_1471,c_1766,c_2635,c_4120,c_5344,c_7172]) ).
tcf(c_7622,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_339,c_7606]) ).
tcf(c_7623,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_338,c_7606]) ).
tcf(c_7711,plain,
( ( sk_c7 != iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_7622,c_1007,c_7623,c_7622]) ).
tcf(c_7712,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_7711]) ).
tcf(c_7735,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_329,c_7712]) ).
tcf(c_7736,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_20 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_328,c_7712]) ).
tcf(c_8472,plain,
inverse(iPr_def_15) = sk_c2,
inference(demodulation,[status(thm)],[c_7570,c_4755]) ).
tcf(c_8477,plain,
multiply(sk_c2,sk_c6) = iPr_def_20,
inference(superposition,[status(thm)],[c_2094,c_7569]) ).
tcf(c_8632,plain,
( ( iPr_def_20 != iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_7735,c_1007,c_7736,c_7735]) ).
tcf(c_8633,plain,
( ~ iPr_def_12
| ( iPr_def_20 != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_8632]) ).
tcf(c_8903,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_6722,c_1667]) ).
tcf(c_9472,plain,
( ~ iPr_def_13
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_1325,c_4755]) ).
tcf(c_9503,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(iPr_def_21)) != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_330,c_9472]) ).
tcf(c_9519,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c7 != sk_c6 ) ),
inference(ground_joinability,[status(thm)],[c_9503,c_313,c_7002]) ).
tcf(c_9584,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_6868,c_1667]) ).
tcf(c_12187,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_9584,c_9519,c_8903,c_8633,c_8477,c_8472,c_7575,c_7564,c_7248,c_7242,c_6854,c_6838,c_6834,c_6708,c_6706,c_6705,c_6560,c_6453,c_6395,c_6393,c_6281,c_6274,c_6124,c_5987,c_5946,c_5926,c_5785,c_5717,c_5692,c_5644,c_5646,c_5634,c_5628,c_4780,c_4779,c_4778,c_4777,c_4770,c_4769,c_4766,c_4763,c_4776,c_4725,c_4488,c_4487,c_4474,c_4437,c_4436,c_4435,c_2671,c_1335,c_1123,c_1119,c_1109,c_1007,c_832,c_556,c_327,c_324,c_323,c_322,c_321,c_320,c_311,c_307,c_306,c_315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP215-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.44 % Computer : n010.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Wed Sep 23 14:10:12 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 3.71/1.98 % SZS status Started for theBenchmark.p
% 3.71/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.98
% 3.71/1.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.71/1.98
% 3.71/1.98 % ------ iProver source info
% 3.71/1.98
% 3.71/1.98 % git: date: 2026-07-19 20:42:38 +0200
% 3.71/1.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.71/1.98 % git: non_committed_changes: false
% 3.71/1.98
% 3.71/1.98 % ------ Parsing...% successful
% 3.71/1.98
% 3.71/1.98
% 3.71/1.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.71/1.98
% 3.71/1.98 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.71/1.98
% 3.71/1.98 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.71/1.98
% 3.71/1.98 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.71/1.98 % ------ Proving...
% 3.71/1.98 % ------ Problem Properties
% 3.71/1.98
% 3.71/1.98 %
% 3.71/1.98 % clauses 37
% 3.71/1.98 % conjectures 25
% 3.71/1.98 % EPR 21
% 3.71/1.98 % Horn 16
% 3.71/1.98 % unary 12
% 3.71/1.98 % binary 20
% 3.71/1.98 % lits 68
% 3.71/1.98 % lits eq 60
% 3.71/1.98 % fd_pure 0
% 3.71/1.98 % fd_pseudo 0
% 3.71/1.98 % fd_cond 0
% 3.71/1.98 % fd_pseudo_cond 0
% 3.71/1.98 % AC symbols 0
% 3.71/1.98
% 3.71/1.98 % ------ Schedule dynamic 5 is on
% 3.71/1.98
% 3.71/1.98 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.71/1.98
% 3.71/1.98
% 3.71/1.98 % ------
% 3.71/1.98 % Current options:
% 3.71/1.98 % ------
% 3.71/1.98
% 3.71/1.98
% 3.71/1.98 %
% 3.71/1.98
% 3.71/1.98 % ------ Proving...
% 3.71/1.98 %
% 3.71/1.98
% 3.71/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.98
% 3.71/1.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/1.99
% 3.71/1.99
%------------------------------------------------------------------------------