%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP353-1 : 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 : n019.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 01:33:19 PM UTC 2026
% Result : Unsatisfiable 5.61s 2.23s
% Output : CNFRefutation 5.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 220 ( 113 unt; 10 def)
% Number of atoms : 641 ( 354 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 247 ( 89 ~; 158 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = inverse(sk_c2)
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f23,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f35,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c3) = sk_c4
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f41,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f49]) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X3,sk_c7) != sk_c6
| inverse(X2) != X3
| multiply(X2,X3) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( sk_c6 != multiply(X3,sk_c7)
| inverse(X2) != X3
| sk_c6 != multiply(X2,X3)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7)
| multiply(sk_c6,sk_c5) != sk_c7 ),
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
! [X2,X0,X1] :
( sk_c6 != multiply(inverse(X2),sk_c7)
| sk_c6 != multiply(X2,inverse(X2))
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7)
| multiply(sk_c6,sk_c5) != sk_c7 ),
inference(equality_resolution,[],[f54]) ).
tcf(c_77,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_78,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_82,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c4 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c3,sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X2) != sk_c7 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 )
| ( multiply(inverse(X1),sk_c7) != sk_c6 )
| ( multiply(X1,inverse(X1)) != sk_c6 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_345,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_104]) ).
tcf(c_346,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_104]) ).
tcf(c_347,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c7) != sk_c6 )
| ( multiply(X0,inverse(X0)) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_104]) ).
tcf(c_348,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_104]) ).
tcf(c_349,definition,
iPr_def_13 = multiply(sk_c6,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_350,definition,
iPr_def_14 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_351,definition,
iPr_def_15 = multiply(sk_c7,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_352,definition,
iPr_def_16 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_353,definition,
iPr_def_17 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_354,definition,
iPr_def_18 = multiply(sk_c3,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_355,definition,
iPr_def_19 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_356,definition,
iPr_def_20 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_357,definition,
iPr_def_21 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_358,definition,
iPr_def_22 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_359,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c5 )
| ( iPr_def_13 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_348,c_351,c_350,c_349]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c7) != sk_c6 )
| ( multiply(X0,inverse(X0)) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_347]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_346]) ).
tcf(c_362,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_345]) ).
tcf(c_364,negated_conjecture,
( ( iPr_def_17 = sk_c4 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102,c_353]) ).
tcf(c_365,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_101,c_354]) ).
tcf(c_366,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100,c_355]) ).
tcf(c_367,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99,c_356]) ).
tcf(c_368,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_370,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_371,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_376,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_17 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_377,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_384,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_385,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_386,negated_conjecture,
( ( iPr_def_14 = sk_c5 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_657,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_365,c_350]) ).
tcf(c_669,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_368,c_351]) ).
tcf(c_678,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_370,c_354]) ).
tcf(c_797,plain,
( ( sk_c6 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_376,c_354]) ).
tcf(c_915,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_377,c_355]) ).
tcf(c_917,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_371,c_355]) ).
tcf(c_919,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_367,c_355]) ).
tcf(c_920,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_366,c_355]) ).
tcf(c_921,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_365,c_355]) ).
tcf(c_955,plain,
multiply(iPr_def_20,sk_c2) = identity,
inference(superposition,[status(thm)],[c_356,c_78]) ).
tcf(c_956,plain,
multiply(iPr_def_17,sk_c3) = identity,
inference(superposition,[status(thm)],[c_353,c_78]) ).
tcf(c_957,plain,
multiply(iPr_def_21,sk_c1) = identity,
inference(superposition,[status(thm)],[c_357,c_78]) ).
tcf(c_1235,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_385,c_358]) ).
tcf(c_1306,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_355,c_361]) ).
tcf(c_1324,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 )
| ( sk_c7 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1306,c_356]) ).
tcf(c_1441,plain,
( ~ iPr_def_10
| ( sk_c6 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_78,c_362]) ).
tcf(c_1722,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_349,c_79]) ).
tcf(c_1723,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_350,c_79]) ).
tcf(c_1724,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_355,c_79]) ).
tcf(c_1725,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c4,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_354,c_79]) ).
tcf(c_1726,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_352,c_79]) ).
tcf(c_1727,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_358,c_79]) ).
tcf(c_1728,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_351,c_79]) ).
tcf(c_1730,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_78,c_79]) ).
tcf(c_1732,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_955,c_79]) ).
tcf(c_1733,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_956,c_79]) ).
tcf(c_1734,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_957,c_79]) ).
tcf(c_1738,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1734,c_77]) ).
tcf(c_1739,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1733,c_77]) ).
tcf(c_1740,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1732,c_77]) ).
tcf(c_2157,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_358,c_1738]) ).
tcf(c_2177,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2157,c_79]) ).
tcf(c_2538,plain,
multiply(iPr_def_20,iPr_def_19) = sk_c6,
inference(superposition,[status(thm)],[c_355,c_1740]) ).
tcf(c_2541,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_19,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2538,c_79]) ).
tcf(c_2779,plain,
! [X0: $i] :
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_657,c_79]) ).
tcf(c_4278,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_915,c_1740]) ).
tcf(c_4279,plain,
( ( sk_c6 = iPr_def_22 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4278,c_2538]) ).
tcf(c_4352,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_917,c_1740]) ).
tcf(c_4353,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4352,c_2538]) ).
tcf(c_4376,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_919,c_1740]) ).
tcf(c_4377,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4376,c_2538]) ).
tcf(c_4390,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_920,c_1740]) ).
tcf(c_4391,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4390,c_2538]) ).
tcf(c_4402,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_921,c_1740]) ).
tcf(c_4403,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4402,c_2538]) ).
tcf(c_5300,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1235,c_1738]) ).
tcf(c_5301,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5300,c_2157]) ).
tcf(c_5826,plain,
multiply(sk_c6,iPr_def_15) = multiply(iPr_def_14,sk_c5),
inference(superposition,[status(thm)],[c_351,c_1723]) ).
tcf(c_6029,plain,
multiply(sk_c2,iPr_def_13) = multiply(iPr_def_19,sk_c5),
inference(superposition,[status(thm)],[c_349,c_1724]) ).
tcf(c_6030,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_19,sk_c7),
inference(superposition,[status(thm)],[c_350,c_1724]) ).
tcf(c_6188,plain,
multiply(iPr_def_20,multiply(iPr_def_19,sk_c5)) = iPr_def_13,
inference(superposition,[status(thm)],[c_6029,c_1740]) ).
tcf(c_6351,plain,
multiply(iPr_def_20,multiply(iPr_def_19,sk_c7)) = iPr_def_14,
inference(superposition,[status(thm)],[c_6030,c_1740]) ).
tcf(c_6578,plain,
multiply(sk_c4,iPr_def_15) = multiply(iPr_def_16,sk_c5),
inference(superposition,[status(thm)],[c_351,c_1726]) ).
tcf(c_6672,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c5) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_364,c_6578]) ).
tcf(c_6674,plain,
multiply(sk_c3,multiply(iPr_def_16,sk_c5)) = multiply(iPr_def_18,iPr_def_15),
inference(superposition,[status(thm)],[c_6578,c_1725]) ).
tcf(c_7512,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1730,c_77]) ).
tcf(c_7516,plain,
multiply(inverse(sk_c6),iPr_def_13) = sk_c5,
inference(superposition,[status(thm)],[c_349,c_7512]) ).
tcf(c_7517,plain,
multiply(inverse(sk_c6),iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_350,c_7512]) ).
tcf(c_7522,plain,
multiply(inverse(sk_c7),iPr_def_15) = sk_c5,
inference(superposition,[status(thm)],[c_351,c_7512]) ).
tcf(c_7523,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_77,c_7512]) ).
tcf(c_7524,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_78,c_7512]) ).
tcf(c_7628,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1740,c_7512]) ).
tcf(c_7629,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1739,c_7512]) ).
tcf(c_7630,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1738,c_7512]) ).
tcf(c_7661,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7512,c_7512]) ).
tcf(c_8713,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_7524,c_7661]) ).
tcf(c_8734,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_8713,c_7523]) ).
tcf(c_8764,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_384,c_1324]) ).
tcf(c_8825,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_8764,c_5301,c_8764]) ).
tcf(c_9782,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_7628,c_7512]) ).
tcf(c_10170,plain,
multiply(sk_c2,sk_c6) = iPr_def_19,
inference(superposition,[status(thm)],[c_2538,c_9782]) ).
tcf(c_10219,plain,
multiply(sk_c3,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_7629,c_78]) ).
tcf(c_10222,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_7629,c_7512]) ).
tcf(c_10234,plain,
( ( identity = iPr_def_18 )
| ( sk_c6 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_797,c_10219]) ).
tcf(c_10236,plain,
( ( identity = iPr_def_18 )
| ( sk_c7 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_678,c_10219]) ).
tcf(c_11031,plain,
( ( identity = iPr_def_18 )
| ( multiply(iPr_def_22,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10234,c_350]) ).
tcf(c_11479,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_16,sk_c5)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6672,c_10222]) ).
tcf(c_11514,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_11479,c_6674]) ).
tcf(c_12023,plain,
( ( identity = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_10236,c_358]) ).
tcf(c_12258,plain,
multiply(sk_c1,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_7630,c_78]) ).
tcf(c_12261,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_7630,c_7512]) ).
tcf(c_13137,plain,
multiply(sk_c1,sk_c7) = iPr_def_22,
inference(superposition,[status(thm)],[c_2157,c_12261]) ).
tcf(c_13728,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_12023,c_12258]) ).
tcf(c_13741,plain,
! [X0: $i] :
( ( identity = iPr_def_18 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_13728,c_77]) ).
tcf(c_16061,plain,
( ( identity = iPr_def_18 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13741,c_11031]) ).
tcf(c_17624,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_7661,c_78]) ).
tcf(c_17627,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_7661,c_7512]) ).
tcf(c_17628,plain,
! [X0: $i] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_7661,c_8713]) ).
tcf(c_17629,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_17628,c_8713]) ).
tcf(c_17643,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( sk_c6 != identity )
| ( multiply(inverse(X0),sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_360,c_17624]) ).
tcf(c_17647,plain,
( ~ iPr_def_10
| ( sk_c6 != identity ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1441,c_17629]) ).
tcf(c_17738,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_17624,c_79]) ).
tcf(c_17739,plain,
multiply(iPr_def_19,inverse(sk_c6)) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_17624,c_1724]) ).
tcf(c_17748,plain,
multiply(iPr_def_15,inverse(sk_c5)) = multiply(sk_c7,identity),
inference(superposition,[status(thm)],[c_17624,c_1728]) ).
tcf(c_17749,plain,
multiply(iPr_def_13,inverse(sk_c5)) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_17624,c_1722]) ).
tcf(c_17752,plain,
multiply(iPr_def_22,inverse(sk_c7)) = multiply(sk_c1,identity),
inference(superposition,[status(thm)],[c_17624,c_1727]) ).
tcf(c_17754,plain,
multiply(iPr_def_14,inverse(sk_c7)) = multiply(sk_c6,identity),
inference(superposition,[status(thm)],[c_17624,c_1723]) ).
tcf(c_17755,plain,
multiply(sk_c6,inverse(iPr_def_19)) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_17624,c_2541]) ).
tcf(c_17760,plain,
multiply(sk_c7,inverse(iPr_def_22)) = multiply(iPr_def_21,identity),
inference(superposition,[status(thm)],[c_17624,c_2177]) ).
tcf(c_17761,plain,
multiply(iPr_def_20,identity) = inverse(sk_c2),
inference(superposition,[status(thm)],[c_17624,c_1740]) ).
tcf(c_20776,plain,
multiply(sk_c6,sk_c5) = iPr_def_13,
inference(superposition,[status(thm)],[c_7516,c_17627]) ).
tcf(c_20777,plain,
multiply(sk_c6,sk_c7) = iPr_def_14,
inference(superposition,[status(thm)],[c_7517,c_17627]) ).
tcf(c_21113,plain,
( ~ iPr_def_12
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm)],[c_78,c_17643]) ).
tcf(c_21707,plain,
multiply(iPr_def_19,inverse(sk_c6)) = sk_c2,
inference(demodulation,[status(thm)],[c_17739,c_8713]) ).
tcf(c_21738,plain,
multiply(inverse(iPr_def_19),sk_c2) = inverse(sk_c6),
inference(superposition,[status(thm)],[c_21707,c_7512]) ).
tcf(c_21740,plain,
multiply(sk_c6,inverse(sk_c6)) = multiply(iPr_def_20,sk_c2),
inference(superposition,[status(thm)],[c_21707,c_2541]) ).
tcf(c_21741,plain,
multiply(sk_c6,inverse(sk_c6)) = identity,
inference(light_normalisation,[status(thm)],[c_21740,c_955]) ).
tcf(c_21863,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(sk_c2,X0)) = multiply(inverse(sk_c6),X0),
inference(superposition,[status(thm)],[c_21738,c_79]) ).
tcf(c_22512,plain,
multiply(iPr_def_14,inverse(multiply(sk_c6,sk_c7))) = identity,
inference(superposition,[status(thm)],[c_17738,c_1723]) ).
tcf(c_22522,plain,
multiply(iPr_def_22,inverse(multiply(sk_c1,sk_c7))) = identity,
inference(superposition,[status(thm)],[c_17738,c_1727]) ).
tcf(c_22564,plain,
multiply(iPr_def_22,inverse(iPr_def_22)) = identity,
inference(light_normalisation,[status(thm)],[c_22522,c_13137]) ).
tcf(c_22568,plain,
multiply(iPr_def_14,inverse(iPr_def_14)) = identity,
inference(light_normalisation,[status(thm)],[c_22512,c_20777]) ).
tcf(c_28282,plain,
multiply(iPr_def_15,inverse(sk_c5)) = sk_c7,
inference(demodulation,[status(thm)],[c_17748,c_8713]) ).
tcf(c_28284,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(iPr_def_15,inverse(iPr_def_14)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_386,c_28282]) ).
tcf(c_28288,plain,
multiply(inverse(iPr_def_15),sk_c7) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_28282,c_7512]) ).
tcf(c_28358,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c7,X0)) = multiply(inverse(sk_c5),X0),
inference(superposition,[status(thm)],[c_28288,c_79]) ).
tcf(c_28423,plain,
multiply(iPr_def_13,inverse(sk_c5)) = sk_c6,
inference(demodulation,[status(thm)],[c_17749,c_8713]) ).
tcf(c_28429,plain,
multiply(inverse(iPr_def_13),sk_c6) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_28423,c_7512]) ).
tcf(c_28490,plain,
( ~ iPr_def_11
| ( inverse(sk_c5) != sk_c7 )
| ( inverse(inverse(iPr_def_13)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_28429,c_361]) ).
tcf(c_28994,plain,
multiply(iPr_def_22,inverse(sk_c7)) = sk_c1,
inference(demodulation,[status(thm)],[c_17752,c_8713]) ).
tcf(c_29021,plain,
multiply(inverse(iPr_def_22),sk_c1) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_28994,c_7512]) ).
tcf(c_29191,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c1,X0)) = multiply(inverse(sk_c7),X0),
inference(superposition,[status(thm)],[c_29021,c_79]) ).
tcf(c_29501,plain,
multiply(inverse(iPr_def_19),multiply(iPr_def_19,sk_c5)) = multiply(inverse(sk_c6),iPr_def_13),
inference(superposition,[status(thm)],[c_6029,c_21863]) ).
tcf(c_29502,plain,
multiply(inverse(iPr_def_19),multiply(iPr_def_19,sk_c7)) = multiply(inverse(sk_c6),iPr_def_14),
inference(superposition,[status(thm)],[c_6030,c_21863]) ).
tcf(c_29511,plain,
multiply(inverse(iPr_def_19),multiply(iPr_def_19,sk_c7)) = sk_c7,
inference(light_normalisation,[status(thm)],[c_29502,c_7517]) ).
tcf(c_29512,plain,
multiply(inverse(iPr_def_19),multiply(iPr_def_19,sk_c5)) = sk_c5,
inference(light_normalisation,[status(thm)],[c_29501,c_7516]) ).
tcf(c_29600,plain,
multiply(iPr_def_14,inverse(sk_c7)) = sk_c6,
inference(demodulation,[status(thm)],[c_17754,c_8713]) ).
tcf(c_29603,plain,
( ( identity = iPr_def_18 )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_16061,c_29600]) ).
tcf(c_29621,plain,
multiply(inverse(iPr_def_14),sk_c6) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_29600,c_7512]) ).
tcf(c_29802,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c6,X0)) = multiply(inverse(sk_c7),X0),
inference(superposition,[status(thm)],[c_29621,c_79]) ).
tcf(c_29970,plain,
multiply(sk_c6,inverse(iPr_def_19)) = iPr_def_20,
inference(demodulation,[status(thm)],[c_17755,c_8713]) ).
tcf(c_31753,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_14) = multiply(iPr_def_18,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_669,c_2779]) ).
tcf(c_32156,plain,
multiply(sk_c7,inverse(iPr_def_22)) = iPr_def_21,
inference(demodulation,[status(thm)],[c_17760,c_8713]) ).
tcf(c_32193,plain,
multiply(iPr_def_22,inverse(iPr_def_22)) = multiply(sk_c1,iPr_def_21),
inference(superposition,[status(thm)],[c_32156,c_1727]) ).
tcf(c_34369,plain,
multiply(inverse(sk_c5),identity) = multiply(inverse(iPr_def_15),sk_c7),
inference(superposition,[status(thm)],[c_8713,c_28358]) ).
tcf(c_34396,plain,
multiply(inverse(sk_c5),identity) = inverse(sk_c5),
inference(light_normalisation,[status(thm)],[c_34369,c_28288]) ).
tcf(c_35038,plain,
multiply(inverse(sk_c7),identity) = multiply(inverse(iPr_def_22),sk_c1),
inference(superposition,[status(thm)],[c_8713,c_29191]) ).
tcf(c_35044,plain,
multiply(inverse(sk_c7),identity) = inverse(sk_c7),
inference(light_normalisation,[status(thm)],[c_35038,c_29021]) ).
tcf(c_35839,plain,
multiply(inverse(iPr_def_14),multiply(iPr_def_14,sk_c5)) = multiply(inverse(sk_c7),iPr_def_15),
inference(superposition,[status(thm)],[c_5826,c_29802]) ).
tcf(c_35877,plain,
multiply(inverse(iPr_def_14),multiply(iPr_def_14,sk_c5)) = sk_c5,
inference(light_normalisation,[status(thm)],[c_35839,c_7522]) ).
tcf(c_37895,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_13 )
| ( inverse(sk_c5) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_28490,c_17629]) ).
tcf(c_37899,plain,
( ~ iPr_def_11
| ( inverse(sk_c5) != sk_c7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37895,c_8825]) ).
tcf(c_45945,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_37899,c_35877,c_35839,c_35044,c_34396,c_34369,c_32193,c_31753,c_29970,c_29603,c_29512,c_29511,c_28284,c_22568,c_22564,c_21741,c_21740,c_21707,c_21113,c_20777,c_20776,c_17761,c_17755,c_17739,c_17647,c_17624,c_13137,c_11514,c_10170,c_8734,c_6351,c_6188,c_4403,c_4391,c_4377,c_4353,c_4279,c_359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP353-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n019.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 14:33:04 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 5.61/2.23 % SZS status Started for theBenchmark.p
% 5.61/2.23 % SZS status Unsatisfiable for theBenchmark.p
% 5.61/2.23
% 5.61/2.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.61/2.23
% 5.61/2.23 % ------ iProver source info
% 5.61/2.23
% 5.61/2.23 % git: date: 2026-07-19 20:42:38 +0200
% 5.61/2.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.61/2.23 % git: non_committed_changes: false
% 5.61/2.23
% 5.61/2.23 % ------ Parsing...% successful
% 5.61/2.23
% 5.61/2.23
% 5.61/2.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.61/2.23
% 5.61/2.23 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.61/2.23
% 5.61/2.23 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.61/2.23
% 5.61/2.23 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.61/2.23 % ------ Proving...
% 5.61/2.23 % ------ Problem Properties
% 5.61/2.23
% 5.61/2.23 %
% 5.61/2.23 % clauses 41
% 5.61/2.23 % conjectures 28
% 5.61/2.23 % EPR 25
% 5.61/2.23 % Horn 16
% 5.61/2.23 % unary 13
% 5.61/2.23 % binary 24
% 5.61/2.23 % lits 76
% 5.61/2.23 % lits eq 70
% 5.61/2.23 % fd_pure 0
% 5.61/2.23 % fd_pseudo 0
% 5.61/2.23 % fd_cond 0
% 5.61/2.23 % fd_pseudo_cond 0
% 5.61/2.23 % AC symbols 0
% 5.61/2.23
% 5.61/2.23 % ------ Schedule dynamic 5 is on
% 5.61/2.23
% 5.61/2.23 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.61/2.23
% 5.61/2.23
% 5.61/2.23 % ------
% 5.61/2.23 % Current options:
% 5.61/2.23 % ------
% 5.61/2.23
% 5.61/2.23
% 5.61/2.23 %
% 5.61/2.23
% 5.61/2.23 % ------ Proving...
% 5.61/2.23 %
% 5.61/2.23
% 5.61/2.23 % SZS status Unsatisfiable for theBenchmark.p
% 5.61/2.23
% 5.61/2.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.61/2.24
% 5.61/2.24
%------------------------------------------------------------------------------