%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP362-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:24 PM UTC 2026
% Result : Unsatisfiable 20.32s 5.03s
% Output : CNFRefutation 28.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 40
% Syntax : Number of formulae : 333 ( 160 unt; 14 def)
% Number of atoms : 1151 ( 582 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 440 ( 156 ~; 284 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c10 = inverse(sk_c7)
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c9 = inverse(sk_c10)
| sk_c10 = inverse(sk_c9) ),
inference(reorient_equations,[],[f23]) ).
fof(f41,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c9 = inverse(sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f59,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c10)
| sk_c9 = multiply(sk_c10,sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = multiply(sk_c10,sk_c2) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c2) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f79,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c2 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c2 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c10 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f83]) ).
fof(f95,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c9 = inverse(sk_c10)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c6 = inverse(sk_c5)
| sk_c10 = inverse(sk_c1) ),
inference(reorient_equations,[],[f105]) ).
fof(f113,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(X6,sk_c8) != sk_c10
| inverse(X6) != sk_c10
| multiply(X5,sk_c9) != sk_c8
| inverse(X4) != X5
| multiply(X4,X5) != sk_c8
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != X2
| multiply(sk_c10,X2) != sk_c9
| inverse(sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c10
| multiply(sk_c9,sk_c8) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f114,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sk_c10 != multiply(X6,sk_c8)
| sk_c10 != inverse(X6)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X4) != X5
| sk_c8 != multiply(X4,X5)
| sk_c10 != inverse(X3)
| multiply(X3,sk_c10) != X2
| sk_c9 != multiply(sk_c10,X2)
| sk_c9 != inverse(sk_c10)
| sk_c10 != inverse(X1)
| multiply(X1,sk_c10) != X0
| sk_c9 != multiply(sk_c10,X0)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(sk_c9)
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(reorient_equations,[],[f113]) ).
fof(f115,plain,
! [X2,X3,X1,X6,X4,X5] :
( sk_c10 != multiply(X6,sk_c8)
| sk_c10 != inverse(X6)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X4) != X5
| sk_c8 != multiply(X4,X5)
| sk_c10 != inverse(X3)
| multiply(X3,sk_c10) != X2
| sk_c9 != multiply(sk_c10,X2)
| sk_c9 != inverse(sk_c10)
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(sk_c9)
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(equality_resolution,[],[f114]) ).
fof(f116,plain,
! [X3,X1,X6,X4,X5] :
( sk_c10 != multiply(X6,sk_c8)
| sk_c10 != inverse(X6)
| sk_c8 != multiply(X5,sk_c9)
| inverse(X4) != X5
| sk_c8 != multiply(X4,X5)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c9 != inverse(sk_c10)
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(sk_c9)
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(equality_resolution,[],[f115]) ).
fof(f117,plain,
! [X3,X1,X6,X4] :
( sk_c10 != multiply(X6,sk_c8)
| sk_c10 != inverse(X6)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,multiply(X3,sk_c10))
| sk_c9 != inverse(sk_c10)
| sk_c10 != inverse(X1)
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(sk_c9)
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(equality_resolution,[],[f116]) ).
tcf(c_107,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_108,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c7) = sk_c10 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_118,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c10 )
| ( multiply(sk_c9,sk_c8) = sk_c10 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( inverse(sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_128,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_129,negated_conjecture,
( ( multiply(sk_c10,sk_c4) = sk_c9 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_132,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_133,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c10,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_138,negated_conjecture,
( ( multiply(sk_c10,sk_c2) = sk_c9 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_139,negated_conjecture,
( ( multiply(sk_c3,sk_c10) = sk_c4 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_140,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c10,sk_c2) = sk_c9 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_147,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_148,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c2 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_149,negated_conjecture,
( ( inverse(sk_c3) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c2 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_155,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_156,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c10,sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_157,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c3,sk_c10) = sk_c4 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_158,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c3) = sk_c10 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_159,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_160,negated_conjecture,
( ( inverse(sk_c1) = sk_c10 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_164,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c10) != sk_c9 )
| ( inverse(sk_c9) != sk_c10 )
| ( inverse(X3) != sk_c10 )
| ( inverse(X1) != sk_c10 )
| ( inverse(X0) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(sk_c9,sk_c8) != sk_c10 )
| ( multiply(X3,sk_c8) != sk_c10 )
| ( multiply(inverse(X2),sk_c9) != sk_c8 )
| ( multiply(X2,inverse(X2)) != sk_c8 )
| ( multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9 )
| ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_657,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( multiply(inverse(X0),sk_c9) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_164]) ).
tcf(c_658,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_164]) ).
tcf(c_659,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c8) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_164]) ).
tcf(c_660,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c10) != sk_c9 )
| ( inverse(sk_c9) != sk_c10 )
| ( multiply(sk_c10,sk_c8) != sk_c9 )
| ( multiply(sk_c9,sk_c8) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_164]) ).
tcf(c_661,definition,
iPr_def_13 = multiply(sk_c9,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_662,definition,
iPr_def_14 = multiply(sk_c10,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_663,definition,
iPr_def_15 = inverse(sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_664,definition,
iPr_def_16 = inverse(sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_665,definition,
iPr_def_17 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_666,definition,
iPr_def_18 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_667,definition,
iPr_def_19 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_669,definition,
iPr_def_21 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_670,definition,
iPr_def_22 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_671,definition,
iPr_def_23 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_672,definition,
iPr_def_24 = multiply(sk_c3,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_673,definition,
iPr_def_25 = multiply(sk_c10,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_674,definition,
iPr_def_26 = multiply(sk_c1,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_675,definition,
iPr_def_27 = multiply(sk_c10,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_676,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c9 )
| ( iPr_def_15 != sk_c10 )
| ( iPr_def_14 != sk_c9 )
| ( iPr_def_13 != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_660,c_664,c_663,c_662,c_661]) ).
tcf(c_678,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c8) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_659]) ).
tcf(c_679,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_658]) ).
tcf(c_680,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( multiply(inverse(X0),sk_c9) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_657]) ).
tcf(c_684,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_160,c_669]) ).
tcf(c_685,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_159,c_670]) ).
tcf(c_686,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_158,c_671]) ).
tcf(c_687,negated_conjecture,
( ( iPr_def_24 = sk_c4 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_157,c_672]) ).
tcf(c_688,negated_conjecture,
( ( iPr_def_25 = sk_c9 )
| ( iPr_def_18 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_156,c_673]) ).
tcf(c_689,negated_conjecture,
( ( iPr_def_18 = sk_c10 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_155]) ).
tcf(c_695,negated_conjecture,
( ( iPr_def_26 = sk_c2 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_149]) ).
tcf(c_696,negated_conjecture,
( ( iPr_def_26 = sk_c2 )
| ( iPr_def_24 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_148]) ).
tcf(c_697,negated_conjecture,
( ( iPr_def_26 = sk_c2 )
| ( iPr_def_25 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_147]) ).
tcf(c_704,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_705,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_24 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_706,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_25 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_707,negated_conjecture,
( ( iPr_def_27 = sk_c9 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_711,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_712,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_713,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_714,negated_conjecture,
( ( iPr_def_24 = sk_c4 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_715,negated_conjecture,
( ( iPr_def_25 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_716,negated_conjecture,
( ( iPr_def_16 = sk_c9 )
| ( iPr_def_14 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_725,negated_conjecture,
( ( iPr_def_16 = sk_c9 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_726,negated_conjecture,
( ( iPr_def_17 = sk_c10 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_727,negated_conjecture,
( ( iPr_def_19 = sk_c10 )
| ( iPr_def_13 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_1104,plain,
( ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_688,c_663]) ).
tcf(c_1138,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_689,c_688]) ).
tcf(c_1200,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c4) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_686,c_673]) ).
tcf(c_1203,plain,
( ( sk_c2 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_673]) ).
tcf(c_1251,plain,
multiply(iPr_def_16,sk_c10) = identity,
inference(superposition,[status(thm)],[c_664,c_108]) ).
tcf(c_1252,plain,
multiply(iPr_def_23,sk_c3) = identity,
inference(superposition,[status(thm)],[c_671,c_108]) ).
tcf(c_1253,plain,
multiply(iPr_def_21,sk_c5) = identity,
inference(superposition,[status(thm)],[c_669,c_108]) ).
tcf(c_1254,plain,
multiply(iPr_def_19,sk_c7) = identity,
inference(superposition,[status(thm)],[c_667,c_108]) ).
tcf(c_1255,plain,
multiply(iPr_def_15,sk_c9) = identity,
inference(superposition,[status(thm)],[c_663,c_108]) ).
tcf(c_1256,plain,
multiply(iPr_def_18,sk_c1) = identity,
inference(superposition,[status(thm)],[c_666,c_108]) ).
tcf(c_1422,plain,
( ( sk_c9 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_705,c_673]) ).
tcf(c_1653,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_711,c_670]) ).
tcf(c_1670,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c9,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_712,c_661]) ).
tcf(c_1700,plain,
( ( iPr_def_14 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_713,c_704]) ).
tcf(c_1748,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_714,c_673]) ).
tcf(c_1765,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_715,c_1255]) ).
tcf(c_1837,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_716,c_715]) ).
tcf(c_2319,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_725,c_663]) ).
tcf(c_2957,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_672,c_109]) ).
tcf(c_2963,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_674,c_109]) ).
tcf(c_2965,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_108,c_109]) ).
tcf(c_2967,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c10,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1251,c_109]) ).
tcf(c_2968,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1252,c_109]) ).
tcf(c_2969,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1253,c_109]) ).
tcf(c_2970,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1254,c_109]) ).
tcf(c_2971,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1255,c_109]) ).
tcf(c_2972,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1256,c_109]) ).
tcf(c_2974,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2972,c_107]) ).
tcf(c_2975,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2971,c_107]) ).
tcf(c_2976,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2970,c_107]) ).
tcf(c_2977,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2969,c_107]) ).
tcf(c_2978,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2968,c_107]) ).
tcf(c_2979,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2967,c_107]) ).
tcf(c_3292,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( multiply(iPr_def_18,sk_c2) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1138,c_675]) ).
tcf(c_3813,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_13 )
| ( inverse(sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_661,c_678]) ).
tcf(c_3816,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c10 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_107,c_678]) ).
tcf(c_3840,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_3813,c_663]) ).
tcf(c_3971,plain,
( ~ iPr_def_11
| ( inverse(sk_c3) != sk_c10 )
| ( multiply(sk_c10,iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_672,c_679]) ).
tcf(c_3972,plain,
( ~ iPr_def_11
| ( inverse(sk_c1) != sk_c10 )
| ( multiply(sk_c10,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_674,c_679]) ).
tcf(c_3997,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_18 )
| ( multiply(sk_c10,iPr_def_26) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_3972,c_666]) ).
tcf(c_4001,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_23 )
| ( multiply(sk_c10,iPr_def_24) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_3971,c_671]) ).
tcf(c_4507,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1837,c_707]) ).
tcf(c_4508,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_27 )
| ( sk_c9 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1837,c_706]) ).
tcf(c_6814,plain,
multiply(iPr_def_18,iPr_def_26) = sk_c10,
inference(superposition,[status(thm)],[c_674,c_2974]) ).
tcf(c_6819,plain,
multiply(iPr_def_15,iPr_def_13) = sk_c8,
inference(superposition,[status(thm)],[c_661,c_2975]) ).
tcf(c_7018,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c6,
inference(superposition,[status(thm)],[c_670,c_2977]) ).
tcf(c_7234,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_672,c_2978]) ).
tcf(c_7239,plain,
multiply(iPr_def_16,iPr_def_25) = sk_c4,
inference(superposition,[status(thm)],[c_673,c_2979]) ).
tcf(c_7240,plain,
multiply(iPr_def_16,iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_662,c_2979]) ).
tcf(c_7241,plain,
multiply(iPr_def_16,iPr_def_27) = sk_c2,
inference(superposition,[status(thm)],[c_675,c_2979]) ).
tcf(c_8636,plain,
( ( sk_c10 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_687,c_1200]) ).
tcf(c_8638,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_8636,c_7234]) ).
tcf(c_8966,plain,
( ( sk_c10 = iPr_def_18 )
| ( inverse(iPr_def_25) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8638,c_664]) ).
tcf(c_14704,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c10 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_8966,c_1104]) ).
tcf(c_17016,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_716,c_1670]) ).
tcf(c_17592,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c2 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_14704,c_1203]) ).
tcf(c_17620,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_18,sk_c4) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_14704,c_673]) ).
tcf(c_28919,plain,
multiply(sk_c3,iPr_def_25) = multiply(iPr_def_24,sk_c4),
inference(superposition,[status(thm)],[c_673,c_2957]) ).
tcf(c_28920,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_24,sk_c8),
inference(superposition,[status(thm)],[c_662,c_2957]) ).
tcf(c_28921,plain,
multiply(sk_c3,iPr_def_27) = multiply(iPr_def_24,sk_c2),
inference(superposition,[status(thm)],[c_675,c_2957]) ).
tcf(c_33946,plain,
( ( sk_c9 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_25) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1422,c_2963]) ).
tcf(c_33948,plain,
( ( sk_c2 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_25) = multiply(iPr_def_26,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1203,c_2963]) ).
tcf(c_37465,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2965,c_107]) ).
tcf(c_37546,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_107,c_37465]) ).
tcf(c_37547,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_108,c_37465]) ).
tcf(c_37548,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_109,c_37465]) ).
tcf(c_37762,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(inverse(iPr_def_16),iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_17016,c_37465]) ).
tcf(c_37782,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2979,c_37465]) ).
tcf(c_37783,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2978,c_37465]) ).
tcf(c_37784,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2977,c_37465]) ).
tcf(c_37785,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2976,c_37465]) ).
tcf(c_37787,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2974,c_37465]) ).
tcf(c_37844,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_37465,c_37465]) ).
tcf(c_43578,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_37547,c_37844]) ).
tcf(c_43604,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_43578,c_37546]) ).
tcf(c_43684,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_43604,c_108]) ).
tcf(c_44179,plain,
multiply(sk_c10,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_37782,c_108]) ).
tcf(c_44181,plain,
( ~ iPr_def_10
| ( multiply(sk_c10,inverse(inverse(iPr_def_16))) != sk_c8 )
| ( multiply(inverse(inverse(iPr_def_16)),sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_37782,c_680]) ).
tcf(c_44184,plain,
multiply(sk_c10,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_37782,c_43578]) ).
tcf(c_44685,plain,
multiply(sk_c1,identity) = multiply(iPr_def_26,iPr_def_16),
inference(superposition,[status(thm)],[c_44179,c_2963]) ).
tcf(c_44686,plain,
multiply(sk_c3,identity) = multiply(iPr_def_24,iPr_def_16),
inference(superposition,[status(thm)],[c_44179,c_2957]) ).
tcf(c_44825,plain,
inverse(iPr_def_16) = sk_c10,
inference(demodulation,[status(thm)],[c_44184,c_43578]) ).
tcf(c_44828,plain,
sk_c10 = iPr_def_15,
inference(demodulation,[status(thm)],[c_2319,c_44825]) ).
tcf(c_44831,plain,
inverse(iPr_def_16) = iPr_def_15,
inference(demodulation,[status(thm)],[c_44825,c_44828]) ).
tcf(c_44832,plain,
multiply(iPr_def_15,iPr_def_16) = identity,
inference(demodulation,[status(thm)],[c_44179,c_44828]) ).
tcf(c_44927,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1748,c_44828]) ).
tcf(c_45019,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_15,X0)) = X0,
inference(demodulation,[status(thm)],[c_2979,c_44828]) ).
tcf(c_45020,plain,
multiply(iPr_def_23,iPr_def_24) = iPr_def_15,
inference(demodulation,[status(thm)],[c_7234,c_44828]) ).
tcf(c_45025,plain,
multiply(iPr_def_18,iPr_def_26) = iPr_def_15,
inference(demodulation,[status(thm)],[c_6814,c_44828]) ).
tcf(c_45040,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1700,c_44828]) ).
tcf(c_45041,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_15 )
| ( iPr_def_13 != iPr_def_15 )
| ( sk_c9 != iPr_def_16 )
| ( sk_c9 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_676,c_44828]) ).
tcf(c_45056,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_727,c_44828]) ).
tcf(c_45057,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_726,c_44828]) ).
tcf(c_45067,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c9 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_713,c_44828]) ).
tcf(c_45073,plain,
multiply(iPr_def_16,iPr_def_15) = identity,
inference(demodulation,[status(thm)],[c_1251,c_44828]) ).
tcf(c_45074,plain,
multiply(iPr_def_15,sk_c2) = iPr_def_27,
inference(demodulation,[status(thm)],[c_675,c_44828]) ).
tcf(c_45075,plain,
multiply(sk_c1,iPr_def_15) = iPr_def_26,
inference(demodulation,[status(thm)],[c_674,c_44828]) ).
tcf(c_45076,plain,
multiply(iPr_def_15,sk_c4) = iPr_def_25,
inference(demodulation,[status(thm)],[c_673,c_44828]) ).
tcf(c_45077,plain,
multiply(sk_c3,iPr_def_15) = iPr_def_24,
inference(demodulation,[status(thm)],[c_672,c_44828]) ).
tcf(c_45078,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c2 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_695,c_44828]) ).
tcf(c_45082,plain,
multiply(iPr_def_15,sk_c8) = iPr_def_14,
inference(demodulation,[status(thm)],[c_662,c_44828]) ).
tcf(c_45083,plain,
inverse(iPr_def_15) = iPr_def_16,
inference(demodulation,[status(thm)],[c_664,c_44828]) ).
tcf(c_45156,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_15 )
| ( sk_c9 != iPr_def_16 )
| ( sk_c9 != iPr_def_14 ) ),
inference(equality_resolution_simp,[status(thm)],[c_45041]) ).
tcf(c_45491,plain,
( ~ iPr_def_10
| ( multiply(iPr_def_16,sk_c10) != sk_c8 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_44825,c_680]) ).
tcf(c_45494,plain,
( ~ iPr_def_10
| ( sk_c8 != identity ) ),
inference(light_normalisation,[status(thm)],[c_45491,c_1255,c_44828,c_44831,c_45073]) ).
tcf(c_45844,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_44831,c_37465]) ).
tcf(c_45852,plain,
( ~ iPr_def_10
| ( multiply(iPr_def_15,iPr_def_16) != sk_c8 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_45083,c_680]) ).
tcf(c_46818,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_4508,c_4507]) ).
tcf(c_47500,plain,
multiply(iPr_def_26,iPr_def_16) = sk_c1,
inference(demodulation,[status(thm)],[c_44685,c_43578]) ).
tcf(c_47502,plain,
multiply(inverse(iPr_def_26),sk_c1) = iPr_def_16,
inference(superposition,[status(thm)],[c_47500,c_37465]) ).
tcf(c_47503,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(iPr_def_16,X0)) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_47500,c_109]) ).
tcf(c_47508,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c1,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_47502,c_109]) ).
tcf(c_47510,plain,
multiply(iPr_def_24,iPr_def_16) = sk_c3,
inference(demodulation,[status(thm)],[c_44686,c_43578]) ).
tcf(c_47512,plain,
multiply(inverse(iPr_def_24),sk_c3) = iPr_def_16,
inference(superposition,[status(thm)],[c_47510,c_37465]) ).
tcf(c_47513,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_16,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_47510,c_109]) ).
tcf(c_47518,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c3,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_47512,c_109]) ).
tcf(c_48339,plain,
multiply(iPr_def_16,identity) = sk_c9,
inference(superposition,[status(thm)],[c_1255,c_45019]) ).
tcf(c_48346,plain,
( ( sk_c9 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1765,c_45019]) ).
tcf(c_48351,plain,
multiply(iPr_def_16,sk_c8) = iPr_def_13,
inference(superposition,[status(thm)],[c_6819,c_45019]) ).
tcf(c_48387,plain,
sk_c9 = iPr_def_16,
inference(demodulation,[status(thm)],[c_48339,c_43578]) ).
tcf(c_48453,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c4 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_705,c_48387]) ).
tcf(c_48458,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( sk_c2 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_697,c_48387]) ).
tcf(c_48562,plain,
multiply(inverse(iPr_def_16),iPr_def_13) = sk_c8,
inference(superposition,[status(thm)],[c_48351,c_37465]) ).
tcf(c_49126,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_45040,c_7241]) ).
tcf(c_49127,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c8 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_49126,c_7240]) ).
tcf(c_49316,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_48458,c_3292]) ).
tcf(c_49323,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_49316,c_45025]) ).
tcf(c_49557,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_46818,c_7241]) ).
tcf(c_49558,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( sk_c8 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_49557,c_7240]) ).
tcf(c_50648,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c8 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_49127,c_45078]) ).
tcf(c_51608,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_49323,c_7241]) ).
tcf(c_51613,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( sk_c2 = identity ) ),
inference(light_normalisation,[status(thm)],[c_51608,c_45073]) ).
tcf(c_51745,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( sk_c8 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_49558,c_48458]) ).
tcf(c_52142,plain,
( ( iPr_def_15 = iPr_def_23 )
| ~ iPr_def_10
| ( identity != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50648,c_45494]) ).
tcf(c_52145,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50648,c_45082]) ).
tcf(c_54757,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48453,c_17620]) ).
tcf(c_54948,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( sk_c8 = identity ) ),
inference(superposition,[status(thm)],[c_51613,c_49558]) ).
tcf(c_55633,plain,
( ( iPr_def_16 = iPr_def_25 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_54948,c_45494]) ).
tcf(c_55848,plain,
multiply(sk_c3,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_37783,c_108]) ).
tcf(c_58120,plain,
multiply(sk_c5,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_37784,c_108]) ).
tcf(c_58121,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_37784,c_37465]) ).
tcf(c_58167,plain,
multiply(sk_c5,sk_c6) = iPr_def_22,
inference(superposition,[status(thm)],[c_7018,c_58121]) ).
tcf(c_58216,plain,
multiply(sk_c7,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_37785,c_43578]) ).
tcf(c_58535,plain,
inverse(iPr_def_19) = sk_c7,
inference(demodulation,[status(thm)],[c_58216,c_43578]) ).
tcf(c_58543,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_15) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_45056,c_58535]) ).
tcf(c_58561,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_58543,c_45083]) ).
tcf(c_59298,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58561,c_665]) ).
tcf(c_59301,plain,
( ( iPr_def_13 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_59298,c_48351]) ).
tcf(c_61959,plain,
iPr_def_13 = iPr_def_15,
inference(superposition,[status(thm)],[c_59301,c_45057]) ).
tcf(c_62026,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_16,X0)) = X0,
inference(demodulation,[status(thm)],[c_45844,c_61959]) ).
tcf(c_62046,plain,
multiply(iPr_def_13,sk_c8) = iPr_def_14,
inference(demodulation,[status(thm)],[c_45082,c_61959]) ).
tcf(c_62047,plain,
multiply(sk_c3,iPr_def_13) = iPr_def_24,
inference(demodulation,[status(thm)],[c_45077,c_61959]) ).
tcf(c_62048,plain,
multiply(iPr_def_13,sk_c4) = iPr_def_25,
inference(demodulation,[status(thm)],[c_45076,c_61959]) ).
tcf(c_62049,plain,
multiply(sk_c1,iPr_def_13) = iPr_def_26,
inference(demodulation,[status(thm)],[c_45075,c_61959]) ).
tcf(c_62056,plain,
multiply(iPr_def_13,sk_c2) = iPr_def_27,
inference(demodulation,[status(thm)],[c_45074,c_61959]) ).
tcf(c_62057,plain,
multiply(iPr_def_16,iPr_def_13) = identity,
inference(demodulation,[status(thm)],[c_45073,c_61959]) ).
tcf(c_62058,plain,
multiply(iPr_def_18,iPr_def_26) = iPr_def_13,
inference(demodulation,[status(thm)],[c_45025,c_61959]) ).
tcf(c_62059,plain,
multiply(iPr_def_23,iPr_def_24) = iPr_def_13,
inference(demodulation,[status(thm)],[c_45020,c_61959]) ).
tcf(c_62061,plain,
multiply(iPr_def_13,iPr_def_16) = identity,
inference(demodulation,[status(thm)],[c_44832,c_61959]) ).
tcf(c_62062,plain,
inverse(iPr_def_13) = iPr_def_16,
inference(demodulation,[status(thm)],[c_45083,c_61959]) ).
tcf(c_62063,plain,
inverse(iPr_def_16) = iPr_def_13,
inference(demodulation,[status(thm)],[c_44831,c_61959]) ).
tcf(c_62064,plain,
sk_c10 = iPr_def_13,
inference(demodulation,[status(thm)],[c_44828,c_61959]) ).
tcf(c_62087,plain,
multiply(iPr_def_13,iPr_def_13) = sk_c8,
inference(demodulation,[status(thm)],[c_6819,c_61959]) ).
tcf(c_62676,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_62058,c_109]) ).
tcf(c_62683,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_62059,c_109]) ).
tcf(c_65736,plain,
~ iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_3816,c_3840,c_44828,c_62064]) ).
tcf(c_65847,plain,
multiply(iPr_def_13,identity) = multiply(iPr_def_18,iPr_def_26),
inference(superposition,[status(thm)],[c_43578,c_62676]) ).
tcf(c_65884,plain,
multiply(iPr_def_13,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_43578,c_62683]) ).
tcf(c_67817,plain,
multiply(inverse(iPr_def_24),identity) = multiply(iPr_def_16,iPr_def_23),
inference(superposition,[status(thm)],[c_55848,c_47518]) ).
tcf(c_67830,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c4)) = multiply(iPr_def_16,iPr_def_25),
inference(superposition,[status(thm)],[c_28919,c_47518]) ).
tcf(c_67831,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c2)) = multiply(iPr_def_16,iPr_def_27),
inference(superposition,[status(thm)],[c_28921,c_47518]) ).
tcf(c_67832,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c8)) = multiply(iPr_def_16,iPr_def_14),
inference(superposition,[status(thm)],[c_28920,c_47518]) ).
tcf(c_67845,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c8)) = sk_c8,
inference(light_normalisation,[status(thm)],[c_67832,c_7240]) ).
tcf(c_67846,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c2)) = sk_c2,
inference(light_normalisation,[status(thm)],[c_67831,c_7241]) ).
tcf(c_67847,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c4)) = sk_c4,
inference(light_normalisation,[status(thm)],[c_67830,c_7239]) ).
tcf(c_68142,plain,
multiply(sk_c1,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_37787,c_108]) ).
tcf(c_68144,plain,
multiply(sk_c1,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_37787,c_43578]) ).
tcf(c_68254,plain,
multiply(inverse(iPr_def_26),identity) = multiply(iPr_def_16,iPr_def_18),
inference(superposition,[status(thm)],[c_68142,c_47508]) ).
tcf(c_68523,plain,
inverse(iPr_def_18) = sk_c1,
inference(demodulation,[status(thm)],[c_68144,c_43578]) ).
tcf(c_75988,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = iPr_def_16,
inference(superposition,[status(thm)],[c_62061,c_37548]) ).
tcf(c_76056,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),X0) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_75988,c_43578]) ).
tcf(c_79611,plain,
multiply(iPr_def_16,iPr_def_23) = inverse(iPr_def_24),
inference(demodulation,[status(thm)],[c_67817,c_43578]) ).
tcf(c_79623,plain,
multiply(iPr_def_24,inverse(iPr_def_24)) = multiply(sk_c3,iPr_def_23),
inference(superposition,[status(thm)],[c_79611,c_47513]) ).
tcf(c_79627,plain,
multiply(iPr_def_24,inverse(iPr_def_24)) = identity,
inference(light_normalisation,[status(thm)],[c_79623,c_55848]) ).
tcf(c_79811,plain,
multiply(iPr_def_16,iPr_def_18) = inverse(iPr_def_26),
inference(demodulation,[status(thm)],[c_68254,c_43578]) ).
tcf(c_79834,plain,
multiply(iPr_def_13,inverse(iPr_def_26)) = iPr_def_18,
inference(superposition,[status(thm)],[c_79811,c_62026]) ).
tcf(c_79835,plain,
multiply(iPr_def_26,inverse(iPr_def_26)) = multiply(sk_c1,iPr_def_18),
inference(superposition,[status(thm)],[c_79811,c_47503]) ).
tcf(c_79837,plain,
multiply(iPr_def_26,inverse(iPr_def_26)) = identity,
inference(light_normalisation,[status(thm)],[c_79835,c_68142]) ).
tcf(c_80448,plain,
( ~ iPr_def_11
| ( iPr_def_13 != iPr_def_18 )
| ( multiply(iPr_def_13,iPr_def_26) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_3997,c_48387,c_62064]) ).
tcf(c_80787,plain,
( ~ iPr_def_11
| ( iPr_def_13 != iPr_def_23 )
| ( multiply(iPr_def_13,iPr_def_24) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_4001,c_48387,c_62064]) ).
tcf(c_81199,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,iPr_def_13))),multiply(X0,X1)) = iPr_def_16,
inference(superposition,[status(thm)],[c_109,c_76056]) ).
tcf(c_81214,plain,
multiply(inverse(sk_c8),iPr_def_13) = iPr_def_16,
inference(superposition,[status(thm)],[c_62087,c_76056]) ).
tcf(c_81221,plain,
multiply(inverse(iPr_def_16),inverse(multiply(iPr_def_13,iPr_def_13))) = iPr_def_16,
inference(superposition,[status(thm)],[c_76056,c_76056]) ).
tcf(c_81225,plain,
multiply(iPr_def_13,inverse(sk_c8)) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_81221,c_62063,c_62087]) ).
tcf(c_81341,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_81214,c_109]) ).
tcf(c_81829,plain,
multiply(inverse(sk_c8),iPr_def_14) = multiply(iPr_def_16,sk_c8),
inference(superposition,[status(thm)],[c_62046,c_81341]) ).
tcf(c_81833,plain,
multiply(inverse(sk_c8),identity) = multiply(iPr_def_16,iPr_def_16),
inference(superposition,[status(thm)],[c_62061,c_81341]) ).
tcf(c_81846,plain,
multiply(inverse(sk_c8),sk_c8) = multiply(iPr_def_16,iPr_def_13),
inference(superposition,[status(thm)],[c_62087,c_81341]) ).
tcf(c_81861,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(light_normalisation,[status(thm)],[c_81846,c_62057]) ).
tcf(c_81863,plain,
multiply(inverse(sk_c8),iPr_def_14) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_81829,c_48351]) ).
tcf(c_82426,plain,
multiply(inverse(multiply(iPr_def_13,sk_c8)),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_62087,c_81199]) ).
tcf(c_82460,plain,
multiply(inverse(iPr_def_14),sk_c8) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_82426,c_62046]) ).
tcf(c_82958,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( multiply(iPr_def_13,inverse(iPr_def_26)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_51745,c_81225]) ).
tcf(c_82966,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(inverse(sk_c8),X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_81225,c_109]) ).
tcf(c_82981,plain,
( ( iPr_def_16 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_82958,c_79834]) ).
tcf(c_85488,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_82460,c_109]) ).
tcf(c_85893,plain,
multiply(iPr_def_13,identity) = multiply(iPr_def_16,sk_c8),
inference(superposition,[status(thm)],[c_108,c_82966]) ).
tcf(c_85896,plain,
multiply(iPr_def_13,iPr_def_16) = multiply(iPr_def_16,iPr_def_13),
inference(superposition,[status(thm)],[c_81214,c_82966]) ).
tcf(c_86221,plain,
multiply(inverse(iPr_def_14),sk_c8) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_43578,c_85488]) ).
tcf(c_86745,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_86221,c_85896,c_82981,c_82460,c_81863,c_81861,c_81846,c_81833,c_81829,c_80787,c_80448,c_79837,c_79835,c_79834,c_79627,c_79623,c_85893,c_68523,c_67847,c_67846,c_67845,c_67832,c_67831,c_67830,c_65884,c_65847,c_65736,c_62064,c_62063,c_62062,c_62056,c_62049,c_62048,c_62047,c_62046,c_61959,c_58167,c_58120,c_55633,c_54757,c_52145,c_52142,c_48562,c_48387,c_48346,c_45852,c_45156,c_45083,c_45067,c_44927,c_44832,c_44828,c_44181,c_37762,c_33948,c_33946,c_17592,c_3997,c_43684,c_1653,c_688,c_687,c_686,c_685,c_684,c_676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP362-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.59 % Computer : n005.cluster.edu
% 0.10/0.59 % Model : x86_64 x86_64
% 0.10/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.59 % Memory : 8046.5625MB
% 0.10/0.59 % OS : Linux 6.8.0-71-generic
% 0.10/0.59 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Wed Sep 23 14:34:34 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.63 Running first-order theorem proving
% 0.14/0.63 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.65
% 0.14/0.65 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.65
% 0.14/0.65 % Detected problem language: tptp
% 0.14/0.66 % Proving...
% 20.32/5.03 % SZS status Started for theBenchmark.p
% 20.32/5.03 % SZS status Unsatisfiable for theBenchmark.p
% 20.32/5.03
% 20.32/5.03 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 20.32/5.03
% 20.32/5.03 % ------ iProver source info
% 20.32/5.03
% 20.32/5.03 % git: date: 2026-07-19 20:42:38 +0200
% 20.32/5.03 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 20.32/5.03 % git: non_committed_changes: false
% 20.32/5.03
% 20.32/5.03 % ------ Parsing...% successful
% 20.32/5.03
% 20.32/5.03
% 20.32/5.03 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 20.32/5.03
% 20.32/5.03 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 20.32/5.03
% 20.32/5.03 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 20.32/5.03
% 20.32/5.03 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.32/5.03 % ------ Proving...
% 20.32/5.03 % ------ Problem Properties
% 20.32/5.03
% 20.32/5.03 %
% 20.32/5.03 % clauses 76
% 20.32/5.03 % conjectures 58
% 20.32/5.03 % EPR 55
% 20.32/5.03 % Horn 21
% 20.32/5.03 % unary 18
% 20.32/5.03 % binary 54
% 20.32/5.03 % lits 142
% 20.32/5.03 % lits eq 136
% 20.32/5.03 % fd_pure 0
% 20.32/5.03 % fd_pseudo 0
% 20.32/5.03 % fd_cond 0
% 20.32/5.03 % fd_pseudo_cond 0
% 20.32/5.03 % AC symbols 0
% 20.32/5.03
% 20.32/5.03 % ------ Schedule dynamic 5 is on
% 20.32/5.03
% 20.32/5.03 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.32/5.03
% 20.32/5.03
% 20.32/5.03 % ------
% 20.32/5.03 % Current options:
% 20.32/5.03 % ------
% 20.32/5.03
% 20.32/5.03
% 20.32/5.03 %
% 20.32/5.03
% 20.32/5.03 % ------ Proving...
% 20.32/5.03 %
% 20.32/5.03
% 20.32/5.03 % SZS status Unsatisfiable for theBenchmark.p
% 20.32/5.03
% 20.32/5.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.53/5.03
% 28.53/5.03
%------------------------------------------------------------------------------