%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP213-1 : 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 : 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 01:31:49 PM UTC 2026
% Result : Unsatisfiable 4.93s 18.06s
% Output : CNFRefutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 38
% Syntax : Number of formulae : 340 ( 94 unt; 10 def)
% Number of atoms : 1120 ( 597 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 554 ( 213 ~; 341 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?; 61 :)
% 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_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = inverse(sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = inverse(sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c8)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(X1) != X2
| multiply(X1,X2) != sk_c8
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(sk_c8)
| inverse(X1) != X2
| multiply(X1,X2) != sk_c8
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X3,X0,X1,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(sk_c8)
| sk_c8 != multiply(X1,inverse(X1))
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) ),
inference(equality_resolution,[],[f54]) ).
fof(f56,plain,
! [X3,X0,X1,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(sk_c8)
| sk_c8 != multiply(X1,inverse(X1))
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) ),
inference(equality_resolution,[],[f55]) ).
tcf(c_77,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_78,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_82,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_83,negated_conjecture,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_84,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_96,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(X1,inverse(X1)) != sk_c8 )
| ( multiply(sk_c8,multiply(X3,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_341,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_104]) ).
tcf(c_342,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_104]) ).
tcf(c_343,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_104]) ).
tcf(c_344,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_104]) ).
tcf(c_345,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_104]) ).
tcf(c_346,definition,
iPr_def_14 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_347,definition,
iPr_def_15 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_348,definition,
iPr_def_16 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_349,definition,
iPr_def_17 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_350,definition,
iPr_def_18 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_351,definition,
iPr_def_19 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_352,definition,
iPr_def_20 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_353,definition,
iPr_def_21 = multiply(sk_c2,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_354,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_355,definition,
iPr_def_23 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_356,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_345,c_346]) ).
tcf(c_357,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_344]) ).
tcf(c_358,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_343]) ).
tcf(c_359,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_342]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_341]) ).
tcf(c_361,negated_conjecture,
( ( iPr_def_16 = sk_c3 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103,c_348,c_347]) ).
tcf(c_362,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_16 = sk_c3 ) ),
inference(demodulation,[status(thm)],[c_102,c_349]) ).
tcf(c_363,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_16 = sk_c3 ) ),
inference(demodulation,[status(thm)],[c_101,c_350]) ).
tcf(c_364,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_16 = sk_c3 ) ),
inference(demodulation,[status(thm)],[c_100,c_351]) ).
tcf(c_365,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_16 = sk_c3 ) ),
inference(demodulation,[status(thm)],[c_99,c_352]) ).
tcf(c_366,negated_conjecture,
( ( iPr_def_16 = sk_c3 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_367,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97,c_353]) ).
tcf(c_368,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_369,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_370,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_371,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_372,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_373,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91,c_354]) ).
tcf(c_374,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_375,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_376,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_377,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_378,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_379,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_85,c_355]) ).
tcf(c_380,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_381,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_382,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_383,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_384,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_625,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_370,c_349]) ).
tcf(c_638,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_371,c_349]) ).
tcf(c_650,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sk_c8 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_369,c_372]) ).
tcf(c_652,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_372,c_351]) ).
tcf(c_688,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_374,c_350]) ).
tcf(c_697,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_375,c_351]) ).
tcf(c_713,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_376,c_349]) ).
tcf(c_728,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_365,c_353]) ).
tcf(c_729,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_364,c_353]) ).
tcf(c_731,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_361,c_353]) ).
tcf(c_746,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_367,c_355]) ).
tcf(c_758,plain,
multiply(iPr_def_14,sk_c8) = identity,
inference(superposition,[status(thm)],[c_346,c_78]) ).
tcf(c_759,plain,
multiply(iPr_def_20,sk_c4) = identity,
inference(superposition,[status(thm)],[c_352,c_78]) ).
tcf(c_760,plain,
multiply(iPr_def_15,sk_c5) = identity,
inference(superposition,[status(thm)],[c_347,c_78]) ).
tcf(c_761,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_354,c_78]) ).
tcf(c_762,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_348,c_78]) ).
tcf(c_776,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_377,c_355]) ).
tcf(c_810,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_378,c_351]) ).
tcf(c_886,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_380,c_350]) ).
tcf(c_901,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_381,c_351]) ).
tcf(c_998,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_384,c_351]) ).
tcf(c_1092,plain,
( ~ iPr_def_11
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_77,c_359]) ).
tcf(c_1097,plain,
( ~ iPr_def_11
| ( multiply(sk_c2,iPr_def_16) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_348,c_359]) ).
tcf(c_1129,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_355,c_79]) ).
tcf(c_1130,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_351,c_79]) ).
tcf(c_1132,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_349,c_79]) ).
tcf(c_1135,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_78,c_79]) ).
tcf(c_1137,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_758,c_79]) ).
tcf(c_1138,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_759,c_79]) ).
tcf(c_1139,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_760,c_79]) ).
tcf(c_1140,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_761,c_79]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_79,c_359]) ).
tcf(c_1143,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1140,c_77]) ).
tcf(c_1144,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1139,c_77]) ).
tcf(c_1145,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1138,c_77]) ).
tcf(c_1146,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1137,c_77]) ).
tcf(c_1182,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_762,c_79]) ).
tcf(c_1183,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1182,c_77]) ).
tcf(c_1616,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_351,c_358]) ).
tcf(c_1617,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_77,c_358]) ).
tcf(c_1632,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( sk_c8 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1616,c_352]) ).
tcf(c_1723,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_23 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_355,c_360]) ).
tcf(c_1728,plain,
( ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(iPr_def_14) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_758,c_360]) ).
tcf(c_1750,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_23 )
| ( sk_c8 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_1723,c_354]) ).
tcf(c_1892,plain,
( ~ iPr_def_13
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_77,c_357]) ).
tcf(c_1895,plain,
( ~ iPr_def_13
| ( inverse(iPr_def_14) != sk_c8 )
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_758,c_357]) ).
tcf(c_2096,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_355,c_1143]) ).
tcf(c_2111,plain,
multiply(iPr_def_15,iPr_def_17) = sk_c8,
inference(superposition,[status(thm)],[c_349,c_1144]) ).
tcf(c_2141,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2111,c_79]) ).
tcf(c_2143,plain,
multiply(iPr_def_20,iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_351,c_1145]) ).
tcf(c_2149,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2143,c_79]) ).
tcf(c_2154,plain,
multiply(iPr_def_14,iPr_def_18) = sk_c6,
inference(superposition,[status(thm)],[c_350,c_1146]) ).
tcf(c_2159,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_18 )
| ( multiply(iPr_def_14,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_650,c_1146]) ).
tcf(c_2160,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_377,c_1146]) ).
tcf(c_2161,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_376,c_1146]) ).
tcf(c_2162,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_373,c_1146]) ).
tcf(c_2443,plain,
multiply(iPr_def_16,iPr_def_21) = sk_c3,
inference(superposition,[status(thm)],[c_353,c_1183]) ).
tcf(c_2736,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_625,c_1144]) ).
tcf(c_2737,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2736,c_2111]) ).
tcf(c_2766,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_638,c_1144]) ).
tcf(c_2767,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2766,c_2111]) ).
tcf(c_2789,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_652,c_1145]) ).
tcf(c_2790,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2789,c_2143]) ).
tcf(c_3004,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_697,c_1145]) ).
tcf(c_3005,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_3004,c_2143]) ).
tcf(c_3059,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_713,c_1144]) ).
tcf(c_3060,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3059,c_2111]) ).
tcf(c_3087,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_728,c_1097]) ).
tcf(c_3138,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_729,c_1097]) ).
tcf(c_3190,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_731,c_1097]) ).
tcf(c_3434,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_746,c_1143]) ).
tcf(c_3435,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3434,c_2096]) ).
tcf(c_3451,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_776,c_1143]) ).
tcf(c_3452,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_3451,c_2096]) ).
tcf(c_3506,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_810,c_1145]) ).
tcf(c_3507,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_3506,c_2143]) ).
tcf(c_3727,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_901,c_1145]) ).
tcf(c_3728,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_3727,c_2143]) ).
tcf(c_3773,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_998,c_1145]) ).
tcf(c_3774,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_3773,c_2143]) ).
tcf(c_3782,plain,
multiply(sk_c1,iPr_def_18) = multiply(iPr_def_23,sk_c6),
inference(superposition,[status(thm)],[c_350,c_1129]) ).
tcf(c_4371,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1135,c_77]) ).
tcf(c_4389,plain,
multiply(inverse(sk_c4),iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_351,c_4371]) ).
tcf(c_4390,plain,
multiply(inverse(sk_c8),iPr_def_18) = sk_c6,
inference(superposition,[status(thm)],[c_350,c_4371]) ).
tcf(c_4393,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_77,c_4371]) ).
tcf(c_4394,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_78,c_4371]) ).
tcf(c_4405,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_688,c_4371]) ).
tcf(c_4408,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_697,c_4371]) ).
tcf(c_4410,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_810,c_4371]) ).
tcf(c_4441,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_998,c_4371]) ).
tcf(c_4452,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_1146,c_4371]) ).
tcf(c_4453,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1145,c_4371]) ).
tcf(c_4454,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1144,c_4371]) ).
tcf(c_4455,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1143,c_4371]) ).
tcf(c_4456,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1183,c_4371]) ).
tcf(c_4466,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4371,c_4371]) ).
tcf(c_4658,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4394,c_4466]) ).
tcf(c_4676,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4658,c_4393]) ).
tcf(c_4683,plain,
( ~ iPr_def_11
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm)],[c_1092,c_4676]) ).
tcf(c_4838,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2096,c_2160]) ).
tcf(c_4846,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_4838,c_758]) ).
tcf(c_4945,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_11
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_377,c_4683]) ).
tcf(c_4946,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_11
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_376,c_4683]) ).
tcf(c_4947,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_373,c_4683]) ).
tcf(c_4984,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_4945,c_2767,c_3087]) ).
tcf(c_5017,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_4946,c_2737,c_3138]) ).
tcf(c_5023,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_4947,c_3190,c_3435]) ).
tcf(c_5045,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2096,c_2161]) ).
tcf(c_5053,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5045,c_758]) ).
tcf(c_5078,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2096,c_2162]) ).
tcf(c_5086,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5078,c_758]) ).
tcf(c_5206,plain,
multiply(sk_c8,identity) = multiply(iPr_def_15,iPr_def_17),
inference(superposition,[status(thm)],[c_4658,c_2141]) ).
tcf(c_5249,plain,
multiply(sk_c7,identity) = multiply(iPr_def_20,iPr_def_19),
inference(superposition,[status(thm)],[c_4658,c_2149]) ).
tcf(c_5252,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_5249,c_2143]) ).
tcf(c_5759,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5086,c_5053]) ).
tcf(c_5760,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_5086,c_4846]) ).
tcf(c_5791,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_5086,c_349]) ).
tcf(c_5909,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5759,c_77]) ).
tcf(c_5933,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1617,c_4676]) ).
tcf(c_5957,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( identity != iPr_def_22 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm)],[c_377,c_5933]) ).
tcf(c_5960,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( identity != iPr_def_21 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm)],[c_371,c_5933]) ).
tcf(c_5961,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_21 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm)],[c_370,c_5933]) ).
tcf(c_6289,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5760,c_77]) ).
tcf(c_6328,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_14)) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4452,c_360]) ).
tcf(c_6331,plain,
multiply(sk_c8,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_4452,c_78]) ).
tcf(c_6334,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_4452,c_4371]) ).
tcf(c_6335,plain,
multiply(sk_c8,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_4452,c_4658]) ).
tcf(c_6427,plain,
multiply(sk_c5,identity) = multiply(iPr_def_17,iPr_def_14),
inference(superposition,[status(thm)],[c_6331,c_1132]) ).
tcf(c_6428,plain,
multiply(sk_c1,identity) = multiply(iPr_def_23,iPr_def_14),
inference(superposition,[status(thm)],[c_6331,c_1129]) ).
tcf(c_6500,plain,
inverse(iPr_def_14) = sk_c8,
inference(demodulation,[status(thm)],[c_6335,c_4658]) ).
tcf(c_6502,plain,
( ~ iPr_def_10
| ( sk_c7 != identity )
| ( sk_c8 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_1728,c_6500]) ).
tcf(c_6503,plain,
( ~ iPr_def_10
| ( sk_c7 != identity ) ),
inference(equality_resolution_simp,[status(thm)],[c_6502]) ).
tcf(c_6715,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_384,c_6503]) ).
tcf(c_6716,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_383,c_6503]) ).
tcf(c_6717,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_382,c_6503]) ).
tcf(c_6718,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_381,c_6503]) ).
tcf(c_6719,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_379,c_6503]) ).
tcf(c_6783,plain,
multiply(sk_c8,sk_c6) = iPr_def_18,
inference(superposition,[status(thm)],[c_2154,c_6334]) ).
tcf(c_6794,plain,
( ~ iPr_def_13
| ( sk_c8 != sk_c7 )
| ( inverse(iPr_def_14) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_6334,c_357]) ).
tcf(c_6834,plain,
( ~ iPr_def_13
| ( sk_c8 != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_6794,c_6500]) ).
tcf(c_7053,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_383,c_6834]) ).
tcf(c_7054,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_382,c_6834]) ).
tcf(c_7056,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_379,c_6834]) ).
tcf(c_7088,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_6715,c_1750,c_3507,c_3774]) ).
tcf(c_7094,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_6716,c_4846,c_6716]) ).
tcf(c_7100,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_6717,c_5053,c_6717]) ).
tcf(c_7106,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_6718,c_1750,c_3005,c_3728]) ).
tcf(c_7112,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_6719,c_5086,c_6719]) ).
tcf(c_7340,plain,
multiply(iPr_def_17,iPr_def_14) = sk_c5,
inference(demodulation,[status(thm)],[c_6427,c_4658]) ).
tcf(c_7343,plain,
multiply(sk_c8,iPr_def_14) = multiply(iPr_def_15,sk_c5),
inference(superposition,[status(thm)],[c_7340,c_2141]) ).
tcf(c_7348,plain,
multiply(iPr_def_23,iPr_def_14) = sk_c1,
inference(demodulation,[status(thm)],[c_6428,c_4658]) ).
tcf(c_7350,plain,
multiply(inverse(iPr_def_23),sk_c1) = iPr_def_14,
inference(superposition,[status(thm)],[c_7348,c_4371]) ).
tcf(c_7358,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c1,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_7350,c_79]) ).
tcf(c_7555,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_13
| ( iPr_def_21 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_371,c_7053]) ).
tcf(c_7604,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_13
| ( iPr_def_21 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_370,c_7054]) ).
tcf(c_7711,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_13
| ( iPr_def_21 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_367,c_7056]) ).
tcf(c_7862,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5909,c_7348]) ).
tcf(c_7903,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6289,c_7348]) ).
tcf(c_8209,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( inverse(iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7862,c_354]) ).
tcf(c_8210,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_8209,c_6500]) ).
tcf(c_8580,plain,
multiply(inverse(iPr_def_23),multiply(iPr_def_23,sk_c6)) = multiply(iPr_def_14,iPr_def_18),
inference(superposition,[status(thm)],[c_3782,c_7358]) ).
tcf(c_8581,plain,
multiply(inverse(iPr_def_23),sk_c1) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_4658,c_7358]) ).
tcf(c_8588,plain,
multiply(inverse(iPr_def_23),multiply(iPr_def_23,sk_c6)) = sk_c6,
inference(light_normalisation,[status(thm)],[c_8580,c_2154]) ).
tcf(c_8908,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7903,c_354]) ).
tcf(c_8909,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_8908,c_6500]) ).
tcf(c_9845,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4453,c_357]) ).
tcf(c_9846,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c4,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4453,c_360]) ).
tcf(c_9849,plain,
multiply(sk_c4,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_4453,c_78]) ).
tcf(c_9851,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c4,sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_4453,c_358]) ).
tcf(c_9852,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_4453,c_4371]) ).
tcf(c_9853,plain,
multiply(sk_c4,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_4453,c_4658]) ).
tcf(c_9901,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_9849,c_1145]) ).
tcf(c_9904,plain,
inverse(iPr_def_20) = sk_c4,
inference(demodulation,[status(thm)],[c_9853,c_4658]) ).
tcf(c_9916,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_759,c_9852]) ).
tcf(c_9919,plain,
multiply(sk_c4,sk_c7) = iPr_def_19,
inference(superposition,[status(thm)],[c_2143,c_9852]) ).
tcf(c_10285,plain,
multiply(sk_c5,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_4454,c_78]) ).
tcf(c_10288,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_4454,c_4371]) ).
tcf(c_10289,plain,
multiply(sk_c5,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_4454,c_4658]) ).
tcf(c_10304,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_5791,c_10285]) ).
tcf(c_10502,plain,
! [X0: $i] :
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10304,c_77]) ).
tcf(c_10596,plain,
inverse(iPr_def_15) = sk_c5,
inference(demodulation,[status(thm)],[c_10289,c_4658]) ).
tcf(c_10613,plain,
multiply(sk_c5,sk_c8) = iPr_def_17,
inference(superposition,[status(thm)],[c_2111,c_10288]) ).
tcf(c_10691,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_19,inverse(multiply(sk_c4,sk_c7))) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_1130,c_1142]) ).
tcf(c_10950,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_10691,c_9919]) ).
tcf(c_12163,plain,
multiply(sk_c1,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_4455,c_78]) ).
tcf(c_12166,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_4455,c_4371]) ).
tcf(c_12485,plain,
( ( identity = iPr_def_17 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10502,c_7348]) ).
tcf(c_12754,plain,
multiply(sk_c1,sk_c8) = iPr_def_23,
inference(superposition,[status(thm)],[c_2096,c_12166]) ).
tcf(c_13005,plain,
( ( identity = iPr_def_17 )
| ( inverse(iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_12485,c_354]) ).
tcf(c_13006,plain,
( ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_13005,c_6500]) ).
tcf(c_13342,plain,
( ~ iPr_def_13
| ( sk_c8 != identity )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1892,c_4676]) ).
tcf(c_13523,plain,
( ( iPr_def_14 = iPr_def_18 )
| ~ iPr_def_11
| ( inverse(multiply(iPr_def_14,iPr_def_21)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_2159,c_1142]) ).
tcf(c_14092,plain,
multiply(sk_c2,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_4456,c_78]) ).
tcf(c_14095,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_4456,c_4371]) ).
tcf(c_14119,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_729,c_14092]) ).
tcf(c_14120,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_728,c_14092]) ).
tcf(c_14248,plain,
( ~ iPr_def_13
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_1895,c_6500]) ).
tcf(c_15135,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14119,c_1632]) ).
tcf(c_16081,plain,
multiply(sk_c2,sk_c3) = iPr_def_21,
inference(superposition,[status(thm)],[c_2443,c_14095]) ).
tcf(c_17358,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != sk_c7 ) ),
inference(global_subsumption_just,[status(thm)],[c_5957,c_1632,c_5961,c_5960,c_14120,c_15135]) ).
tcf(c_17360,plain,
( ( sk_c8 != sk_c7 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_17358,c_1632,c_5961,c_15135,c_17358]) ).
tcf(c_17361,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 ) ),
inference(renaming,[status(thm)],[c_17360]) ).
tcf(c_17377,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_384,c_17361]) ).
tcf(c_17378,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_383,c_17361]) ).
tcf(c_17379,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_382,c_17361]) ).
tcf(c_17382,plain,
( ( sk_c8 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_378,c_17361]) ).
tcf(c_18318,plain,
( ( sk_c8 != iPr_def_23 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_17377,c_1632,c_17379,c_17378]) ).
tcf(c_18319,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_18318]) ).
tcf(c_18348,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_371,c_18319]) ).
tcf(c_18349,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_21 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_370,c_18319]) ).
tcf(c_18509,plain,
( ( sk_c8 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_17382,c_1632,c_3060,c_3452]) ).
tcf(c_19360,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_18509,c_18349,c_18348,c_16081,c_14248,c_14092,c_13523,c_13342,c_13006,c_12754,c_12163,c_10950,c_10613,c_10596,c_10285,c_9919,c_9916,c_9904,c_9901,c_9851,c_9846,c_9845,c_9849,c_8909,c_8588,c_8581,c_8580,c_8210,c_7711,c_7604,c_7555,c_7350,c_7343,c_7112,c_7106,c_7100,c_7094,c_7088,c_6783,c_6500,c_6328,c_6335,c_6331,c_5252,c_5249,c_5206,c_5023,c_5017,c_4984,c_4683,c_4676,c_4441,c_4410,c_4408,c_4405,c_4390,c_4389,c_3507,c_3452,c_2790,c_1750,c_1632,c_901,c_886,c_688,c_368,c_366,c_365,c_364,c_363,c_362,c_361,c_356,c_352,c_346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP213-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.25/16.18 % CPULimit : 300
% 0.25/16.18 % WCLimit : 300
% 0.25/16.18 % DateTime : Wed Sep 23 14:10:03 UTC 2026
% 0.25/16.19 % CPUTime :
% 0.25/16.19 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.31/16.22 Running first-order theorem proving
% 0.31/16.23 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
% 0.31/16.24
% 0.31/16.24 % ======== iProver multi-core TPTP/SMT =========
% 0.31/16.24
% 0.31/16.24 % Detected problem language: tptp
% 0.31/16.25 % Proving...
% 4.93/18.06 % SZS status Started for theBenchmark.p
% 4.93/18.06 % SZS status Unsatisfiable for theBenchmark.p
% 4.93/18.06
% 4.93/18.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.93/18.06
% 4.93/18.06 % ------ iProver source info
% 4.93/18.06
% 4.93/18.06 % git: date: 2026-07-19 20:42:38 +0200
% 4.93/18.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.93/18.06 % git: non_committed_changes: false
% 4.93/18.06
% 4.93/18.06 % ------ Parsing...% successful
% 4.93/18.06
% 4.93/18.06
% 4.93/18.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.93/18.06
% 4.93/18.06 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.93/18.06
% 4.93/18.06 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.93/18.06
% 4.93/18.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.93/18.06 % ------ Proving...
% 4.93/18.06 % ------ Problem Properties
% 4.93/18.06
% 4.93/18.06 %
% 4.93/18.06 % clauses 42
% 4.93/18.06 % conjectures 29
% 4.93/18.06 % EPR 25
% 4.93/18.06 % Horn 17
% 4.93/18.06 % unary 13
% 4.93/18.06 % binary 25
% 4.93/18.06 % lits 77
% 4.93/18.06 % lits eq 69
% 4.93/18.06 % fd_pure 0
% 4.93/18.06 % fd_pseudo 0
% 4.93/18.06 % fd_cond 0
% 4.93/18.06 % fd_pseudo_cond 0
% 4.93/18.06 % AC symbols 0
% 4.93/18.06
% 4.93/18.06 % ------ Schedule dynamic 5 is on
% 4.93/18.06
% 4.93/18.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.93/18.06
% 4.93/18.06
% 4.93/18.06 % ------
% 4.93/18.06 % Current options:
% 4.93/18.06 % ------
% 4.93/18.06
% 4.93/18.06
% 4.93/18.06 %
% 4.93/18.06
% 4.93/18.06 % ------ Proving...
% 4.93/18.06 %
% 4.93/18.06
% 4.93/18.06 % SZS status Unsatisfiable for theBenchmark.p
% 4.93/18.06
% 4.93/18.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.93/18.07
% 4.93/18.07
%------------------------------------------------------------------------------