%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP225-1 : 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 : n020.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 01:31:52 PM UTC 2026
% Result : Unsatisfiable 6.06s 2.28s
% Output : CNFRefutation 6.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 42
% Syntax : Number of formulae : 329 ( 92 unt; 12 def)
% Number of atoms : 1141 ( 618 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 469 ( 138 ~; 331 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?; 52 :)
% 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_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c9 = inverse(sk_c4)
| inverse(sk_c1) = sk_c9 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| inverse(sk_c1) = sk_c9 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| inverse(sk_c1) = sk_c9 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c1) = sk_c9 ),
inference(reorient_equations,[],[f11]) ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f35,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c9,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_c9,sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f49,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f57]) ).
fof(f61,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f71]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(X6,sk_c9) != sk_c8
| inverse(X5) != X6
| multiply(X5,X6) != sk_c8
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| inverse(X3) != sk_c9
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != X1
| multiply(sk_c9,X1) != sk_c8
| multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sk_c8 != multiply(X6,sk_c9)
| inverse(X5) != X6
| sk_c8 != multiply(X5,X6)
| sk_c8 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1
| sk_c8 != multiply(sk_c9,X1)
| sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c9 ),
inference(reorient_equations,[],[f75]) ).
fof(f77,plain,
! [X2,X3,X0,X6,X4,X5] :
( sk_c8 != multiply(X6,sk_c9)
| inverse(X5) != X6
| sk_c8 != multiply(X5,X6)
| sk_c8 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c9 ),
inference(equality_resolution,[],[f76]) ).
fof(f78,plain,
! [X2,X3,X0,X4,X5] :
( sk_c8 != multiply(inverse(X5),sk_c9)
| sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c9 ),
inference(equality_resolution,[],[f77]) ).
tcf(c_88,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_89,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_107,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_109,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_116,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c3 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(X3) != sk_c9 )
| ( inverse(X2) != sk_c9 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c9 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( multiply(X1,sk_c8) != sk_c9 )
| ( multiply(X0,sk_c8) != sk_c9 )
| ( multiply(inverse(X4),sk_c9) != sk_c8 )
| ( multiply(X4,inverse(X4)) != sk_c8 )
| ( multiply(sk_c9,multiply(X3,sk_c9)) != sk_c8 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_459,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_126]) ).
tcf(c_460,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_126]) ).
tcf(c_461,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c9) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_126]) ).
tcf(c_462,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c9 )
| ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_126]) ).
tcf(c_463,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_126]) ).
tcf(c_464,definition,
iPr_def_14 = multiply(sk_c7,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_465,definition,
iPr_def_15 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_466,definition,
iPr_def_16 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_467,definition,
iPr_def_17 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_468,definition,
iPr_def_18 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_469,definition,
iPr_def_19 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_470,definition,
iPr_def_20 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_471,definition,
iPr_def_21 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_472,definition,
iPr_def_22 = multiply(sk_c2,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_473,definition,
iPr_def_23 = multiply(sk_c9,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_474,definition,
iPr_def_24 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_475,definition,
iPr_def_25 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_476,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_463]) ).
tcf(c_477,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c9 )
| ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_462]) ).
tcf(c_479,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c9) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_461]) ).
tcf(c_480,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_460]) ).
tcf(c_481,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c8) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_459]) ).
tcf(c_483,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_124,c_466]) ).
tcf(c_484,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_123,c_467]) ).
tcf(c_485,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_122,c_468]) ).
tcf(c_486,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_121,c_469]) ).
tcf(c_487,negated_conjecture,
( ( iPr_def_20 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_120,c_470]) ).
tcf(c_488,negated_conjecture,
( ( iPr_def_21 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_119,c_471]) ).
tcf(c_490,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_491,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_492,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_493,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_494,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_497,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_498,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_499,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_500,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_501,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_504,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_505,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_506,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_508,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_509,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_21 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_513,negated_conjecture,
( ( iPr_def_25 = sk_c9 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_25 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_515,negated_conjecture,
( ( iPr_def_25 = sk_c9 )
| ( iPr_def_20 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_516,negated_conjecture,
( ( iPr_def_25 = sk_c9 )
| ( iPr_def_21 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_788,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_486,c_487]) ).
tcf(c_798,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_488,c_487]) ).
tcf(c_816,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_483,c_467]) ).
tcf(c_819,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_485,c_469]) ).
tcf(c_903,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_494,c_473]) ).
tcf(c_904,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_493,c_473]) ).
tcf(c_905,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_492,c_473]) ).
tcf(c_906,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_491,c_473]) ).
tcf(c_907,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c9,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_490,c_473]) ).
tcf(c_941,plain,
multiply(iPr_def_25,sk_c1) = identity,
inference(superposition,[status(thm)],[c_475,c_89]) ).
tcf(c_942,plain,
multiply(iPr_def_21,sk_c4) = identity,
inference(superposition,[status(thm)],[c_471,c_89]) ).
tcf(c_943,plain,
multiply(iPr_def_18,sk_c5) = identity,
inference(superposition,[status(thm)],[c_468,c_89]) ).
tcf(c_944,plain,
multiply(iPr_def_16,sk_c6) = identity,
inference(superposition,[status(thm)],[c_466,c_89]) ).
tcf(c_945,plain,
multiply(iPr_def_15,sk_c2) = identity,
inference(superposition,[status(thm)],[c_465,c_89]) ).
tcf(c_950,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_497,c_467]) ).
tcf(c_963,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_498,c_474]) ).
tcf(c_998,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_499,c_474]) ).
tcf(c_1039,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_500,c_474]) ).
tcf(c_1085,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_501,c_474]) ).
tcf(c_1212,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_504,c_467]) ).
tcf(c_1297,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk_c9 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_506,c_505]) ).
tcf(c_1304,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_506,c_474]) ).
tcf(c_1307,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_506,c_469]) ).
tcf(c_1364,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_507,c_472]) ).
tcf(c_1403,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_508,c_472]) ).
tcf(c_1404,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_508,c_464]) ).
tcf(c_1443,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_509,c_472]) ).
tcf(c_1662,plain,
( ( sk_c9 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_513,c_474]) ).
tcf(c_1665,plain,
( ( sk_c9 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_513,c_469]) ).
tcf(c_1732,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_514,c_472]) ).
tcf(c_1827,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_515,c_472]) ).
tcf(c_1909,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_516,c_472]) ).
tcf(c_1959,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_19 )
| ( inverse(sk_c5) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_469,c_480]) ).
tcf(c_1960,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_474,c_480]) ).
tcf(c_1981,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_25 )
| ( sk_c9 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_1960,c_475]) ).
tcf(c_1985,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_18 )
| ( sk_c9 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1959,c_468]) ).
tcf(c_2142,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_20 )
| ( inverse(sk_c4) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_470,c_481]) ).
tcf(c_2144,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_474,c_481]) ).
tcf(c_2165,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_25 )
| ( sk_c9 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_2144,c_475]) ).
tcf(c_2173,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_21 )
| ( sk_c9 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2142,c_471]) ).
tcf(c_2366,plain,
( ~ iPr_def_13
| ( multiply(sk_c9,identity) != sk_c8 )
| ( inverse(inverse(sk_c9)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89,c_477]) ).
tcf(c_2465,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c8 )
| ( multiply(inverse(identity),sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_88,c_479]) ).
tcf(c_2467,plain,
( ~ iPr_def_12
| ( multiply(sk_c4,iPr_def_21) != sk_c8 )
| ( multiply(inverse(sk_c4),sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_471,c_479]) ).
tcf(c_2486,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_21,sk_c9) != sk_c8 )
| ( multiply(sk_c4,iPr_def_21) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2467,c_471]) ).
tcf(c_2581,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_469,c_90]) ).
tcf(c_2584,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_474,c_90]) ).
tcf(c_2588,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_89,c_90]) ).
tcf(c_2590,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_941,c_90]) ).
tcf(c_2591,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_942,c_90]) ).
tcf(c_2592,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_943,c_90]) ).
tcf(c_2593,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_944,c_90]) ).
tcf(c_2594,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_945,c_90]) ).
tcf(c_2600,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2594,c_88]) ).
tcf(c_2601,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2593,c_88]) ).
tcf(c_2602,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2592,c_88]) ).
tcf(c_2603,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2591,c_88]) ).
tcf(c_2604,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2590,c_88]) ).
tcf(c_2857,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_515]) ).
tcf(c_2858,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_788,c_514]) ).
tcf(c_2860,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_508]) ).
tcf(c_2861,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_788,c_507]) ).
tcf(c_2955,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_798,c_516]) ).
tcf(c_2956,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_798,c_515]) ).
tcf(c_3318,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1297,c_464]) ).
tcf(c_4226,plain,
multiply(iPr_def_15,iPr_def_22) = sk_c9,
inference(superposition,[status(thm)],[c_472,c_2600]) ).
tcf(c_4229,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_22,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_4226,c_90]) ).
tcf(c_4231,plain,
multiply(iPr_def_16,iPr_def_17) = sk_c7,
inference(superposition,[status(thm)],[c_467,c_2601]) ).
tcf(c_4236,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c8,
inference(superposition,[status(thm)],[c_469,c_2602]) ).
tcf(c_4239,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4236,c_90]) ).
tcf(c_4269,plain,
multiply(iPr_def_21,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_470,c_2603]) ).
tcf(c_4272,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4269,c_90]) ).
tcf(c_4368,plain,
multiply(iPr_def_25,iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_474,c_2604]) ).
tcf(c_4371,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_24,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4368,c_90]) ).
tcf(c_4667,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_508,c_903]) ).
tcf(c_4734,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_507,c_904]) ).
tcf(c_5624,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_963,c_2604]) ).
tcf(c_5625,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_5624,c_4368]) ).
tcf(c_5656,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_998,c_2604]) ).
tcf(c_5657,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5656,c_4368]) ).
tcf(c_5839,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1039,c_2604]) ).
tcf(c_5840,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5839,c_4368]) ).
tcf(c_6274,plain,
( ( sk_c9 = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1304,c_2604]) ).
tcf(c_6275,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c9 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6274,c_4368]) ).
tcf(c_6371,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1364,c_2600]) ).
tcf(c_6372,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6371,c_4226]) ).
tcf(c_6687,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1403,c_2600]) ).
tcf(c_6688,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6687,c_4226]) ).
tcf(c_6821,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1443,c_2600]) ).
tcf(c_6822,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_6821,c_4226]) ).
tcf(c_7249,plain,
( ( sk_c9 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1662,c_2604]) ).
tcf(c_7250,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c9 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_7249,c_4368]) ).
tcf(c_7338,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1732,c_2600]) ).
tcf(c_7339,plain,
( ( sk_c9 = iPr_def_25 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_7338,c_4226]) ).
tcf(c_7406,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1827,c_2600]) ).
tcf(c_7407,plain,
( ( sk_c9 = iPr_def_25 )
| ( sk_c9 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_7406,c_4226]) ).
tcf(c_7603,plain,
( ( sk_c9 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1909,c_2600]) ).
tcf(c_7604,plain,
( ( sk_c9 = iPr_def_25 )
| ( sk_c9 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7603,c_4226]) ).
tcf(c_10254,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2588,c_88]) ).
tcf(c_10263,plain,
multiply(inverse(sk_c7),iPr_def_14) = sk_c9,
inference(superposition,[status(thm)],[c_464,c_10254]) ).
tcf(c_10264,plain,
multiply(inverse(sk_c1),iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_474,c_10254]) ).
tcf(c_10267,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_88,c_10254]) ).
tcf(c_10268,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_89,c_10254]) ).
tcf(c_10334,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1085,c_10254]) ).
tcf(c_10335,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1039,c_10254]) ).
tcf(c_10366,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3318,c_10254]) ).
tcf(c_10369,plain,
( ( sk_c9 = iPr_def_20 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1404,c_10254]) ).
tcf(c_10415,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2604,c_10254]) ).
tcf(c_10416,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2603,c_10254]) ).
tcf(c_10417,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2602,c_10254]) ).
tcf(c_10418,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2601,c_10254]) ).
tcf(c_10419,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2600,c_10254]) ).
tcf(c_10442,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_10254,c_10254]) ).
tcf(c_11230,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_10268,c_10442]) ).
tcf(c_11240,plain,
multiply(sk_c8,identity) = multiply(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_11230,c_4272]) ).
tcf(c_11241,plain,
multiply(sk_c1,sk_c8) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_11230,c_2584]) ).
tcf(c_11242,plain,
multiply(sk_c5,sk_c8) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_11230,c_2581]) ).
tcf(c_11244,plain,
multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_11230,c_4239]) ).
tcf(c_11249,plain,
multiply(sk_c8,identity) = multiply(iPr_def_25,iPr_def_24),
inference(superposition,[status(thm)],[c_11230,c_4371]) ).
tcf(c_11251,plain,
multiply(sk_c9,identity) = multiply(iPr_def_15,iPr_def_22),
inference(superposition,[status(thm)],[c_11230,c_4229]) ).
tcf(c_11257,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_11230,c_10267]) ).
tcf(c_11258,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_11251,c_4226]) ).
tcf(c_11260,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_11249,c_4368]) ).
tcf(c_11267,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_11242,c_469]) ).
tcf(c_11268,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_11241,c_474]) ).
tcf(c_11273,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_1981,c_1985,c_1981,c_6275,c_6372]) ).
tcf(c_11294,plain,
( ( sk_c9 = iPr_def_25 )
| ~ iPr_def_11
| ( iPr_def_18 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_513,c_11273]) ).
tcf(c_11362,plain,
( ( sk_c9 = iPr_def_25 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_11294,c_1985,c_7250,c_7339]) ).
tcf(c_11713,plain,
( ~ iPr_def_10
| ( sk_c9 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_2165,c_2173,c_2165,c_6688,c_6822]) ).
tcf(c_11715,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_11713,c_2173,c_7407,c_7604,c_11713]) ).
tcf(c_11717,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_476,c_11715]) ).
tcf(c_12095,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2858,c_2857]) ).
tcf(c_12601,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2861,c_2860]) ).
tcf(c_12789,plain,
multiply(sk_c1,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_10415,c_89]) ).
tcf(c_12792,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_10415,c_10254]) ).
tcf(c_12793,plain,
multiply(sk_c1,identity) = inverse(iPr_def_25),
inference(superposition,[status(thm)],[c_10415,c_11230]) ).
tcf(c_12938,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12095,c_12789]) ).
tcf(c_13228,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2956,c_2955]) ).
tcf(c_13832,plain,
inverse(iPr_def_25) = sk_c1,
inference(demodulation,[status(thm)],[c_12793,c_11230]) ).
tcf(c_13878,plain,
multiply(sk_c1,sk_c8) = iPr_def_24,
inference(superposition,[status(thm)],[c_4368,c_12792]) ).
tcf(c_13998,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_13228,c_12789]) ).
tcf(c_15535,plain,
( ~ iPr_def_11
| ( multiply(sk_c4,sk_c8) != sk_c9 )
| ( inverse(inverse(iPr_def_21)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10416,c_480]) ).
tcf(c_15538,plain,
multiply(sk_c4,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_10416,c_89]) ).
tcf(c_15542,plain,
multiply(sk_c4,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_10416,c_11230]) ).
tcf(c_15543,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(inverse(iPr_def_21)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_15535,c_470]) ).
tcf(c_15585,plain,
inverse(iPr_def_21) = sk_c4,
inference(demodulation,[status(thm)],[c_15542,c_11230]) ).
tcf(c_15753,plain,
multiply(sk_c5,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_10417,c_89]) ).
tcf(c_15756,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_10417,c_10254]) ).
tcf(c_15768,plain,
( ( identity = iPr_def_19 )
| ( sk_c9 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1665,c_15753]) ).
tcf(c_15769,plain,
( ( identity = iPr_def_19 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1307,c_15753]) ).
tcf(c_15770,plain,
( ( identity = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_819,c_15753]) ).
tcf(c_15851,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_15753,c_2602]) ).
tcf(c_15922,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15768,c_464]) ).
tcf(c_16209,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15769,c_464]) ).
tcf(c_16334,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_15770,c_15768]) ).
tcf(c_16354,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_15770,c_906]) ).
tcf(c_16355,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_15770,c_905]) ).
tcf(c_16356,plain,
( ( identity = iPr_def_19 )
| ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_15770,c_904]) ).
tcf(c_16411,plain,
( ( identity = iPr_def_19 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_16356,c_4226]) ).
tcf(c_16415,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_18 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_16355,c_4226]) ).
tcf(c_16419,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_16354,c_4226]) ).
tcf(c_16577,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm)],[c_943,c_15756]) ).
tcf(c_16578,plain,
multiply(sk_c5,sk_c8) = iPr_def_19,
inference(superposition,[status(thm)],[c_4236,c_15756]) ).
tcf(c_16776,plain,
( ( identity = iPr_def_19 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_15922,c_10254]) ).
tcf(c_16832,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_19) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_16334,c_11257]) ).
tcf(c_16849,plain,
multiply(sk_c6,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_10418,c_89]) ).
tcf(c_16852,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_10418,c_10254]) ).
tcf(c_16864,plain,
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1212,c_16849]) ).
tcf(c_16865,plain,
( ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_950,c_16849]) ).
tcf(c_16866,plain,
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_816,c_16849]) ).
tcf(c_17280,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_16864,c_464]) ).
tcf(c_17487,plain,
( ( identity = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_16865,c_469]) ).
tcf(c_17576,plain,
( ( identity = iPr_def_17 )
| ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16866,c_907]) ).
tcf(c_17577,plain,
( ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16866,c_906]) ).
tcf(c_17579,plain,
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_16866,c_904]) ).
tcf(c_17634,plain,
( ( identity = iPr_def_17 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_17579,c_4226]) ).
tcf(c_17642,plain,
( ( identity = iPr_def_17 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_17577,c_4226]) ).
tcf(c_17646,plain,
( ( identity = iPr_def_17 )
| ( sk_c7 = iPr_def_16 )
| ( sk_c9 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_17576,c_4226]) ).
tcf(c_17837,plain,
multiply(sk_c6,sk_c7) = iPr_def_17,
inference(superposition,[status(thm)],[c_4231,c_16852]) ).
tcf(c_18085,plain,
( ( identity = iPr_def_19 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_16209,c_10254]) ).
tcf(c_19010,plain,
multiply(sk_c2,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_10419,c_89]) ).
tcf(c_19013,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_10419,c_10254]) ).
tcf(c_19014,plain,
multiply(sk_c2,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_10419,c_11230]) ).
tcf(c_20285,plain,
inverse(iPr_def_15) = sk_c2,
inference(demodulation,[status(thm)],[c_19014,c_11230]) ).
tcf(c_20302,plain,
multiply(sk_c2,sk_c9) = iPr_def_22,
inference(superposition,[status(thm)],[c_4226,c_19013]) ).
tcf(c_20768,plain,
( ( identity = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17280,c_10254]) ).
tcf(c_21888,plain,
( ~ iPr_def_13
| ( sk_c9 != sk_c8 )
| ( inverse(inverse(sk_c9)) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_2366,c_11230]) ).
tcf(c_22086,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(identity,sk_c9) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2465,c_11257]) ).
tcf(c_22087,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( sk_c9 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_22086,c_88]) ).
tcf(c_22279,plain,
( ( identity = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_17487,c_2602]) ).
tcf(c_22846,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_16832,c_89]) ).
tcf(c_28602,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_22846,c_22279,c_22087,c_21888,c_20768,c_20302,c_20285,c_19010,c_18085,c_17837,c_17646,c_17642,c_17634,c_16849,c_16776,c_16578,c_16577,c_16419,c_16415,c_16411,c_15851,c_15753,c_15585,c_15543,c_15538,c_13998,c_13878,c_13832,c_12938,c_12793,c_12789,c_12601,c_11717,c_11362,c_11273,c_11268,c_11267,c_11260,c_11258,c_11251,c_11244,c_11240,c_10369,c_10366,c_10335,c_10334,c_10264,c_10263,c_5840,c_5657,c_5625,c_4734,c_4667,c_2486,c_2366,c_906,c_488,c_487,c_486,c_485,c_484,c_483,c_475,c_471,c_468,c_465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP225-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 14:12:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 6.06/2.28 % SZS status Started for theBenchmark.p
% 6.06/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 6.06/2.28
% 6.06/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.06/2.28
% 6.06/2.28 % ------ iProver source info
% 6.06/2.28
% 6.06/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 6.06/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.06/2.28 % git: non_committed_changes: false
% 6.06/2.28
% 6.06/2.28 % ------ Parsing...% successful
% 6.06/2.28
% 6.06/2.28
% 6.06/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.06/2.28
% 6.06/2.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.06/2.28
% 6.06/2.28 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.06/2.28
% 6.06/2.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.06/2.28 % ------ Proving...
% 6.06/2.28 % ------ Problem Properties
% 6.06/2.28
% 6.06/2.28 %
% 6.06/2.28 % clauses 55
% 6.06/2.28 % conjectures 40
% 6.06/2.28 % EPR 36
% 6.06/2.28 % Horn 19
% 6.06/2.28 % unary 15
% 6.06/2.28 % binary 35
% 6.06/2.28 % lits 101
% 6.06/2.28 % lits eq 93
% 6.06/2.28 % fd_pure 0
% 6.06/2.28 % fd_pseudo 0
% 6.06/2.28 % fd_cond 0
% 6.06/2.28 % fd_pseudo_cond 0
% 6.06/2.28 % AC symbols 0
% 6.06/2.28
% 6.06/2.28 % ------ Schedule dynamic 5 is on
% 6.06/2.28
% 6.06/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.06/2.28
% 6.06/2.28
% 6.06/2.28 % ------
% 6.06/2.28 % Current options:
% 6.06/2.28 % ------
% 6.06/2.28
% 6.06/2.28
% 6.06/2.28 %
% 6.06/2.28
% 6.06/2.28 % ------ Proving...
% 6.06/2.28 %
% 6.06/2.28
% 6.06/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 6.06/2.28
% 6.06/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.06/2.29
% 6.06/2.29
%------------------------------------------------------------------------------