TSTP Solution File: GRP660-14 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:01:13 EDT 2023
% Result : Unsatisfiable 111.25s 15.15s
% Output : CNFRefutation 111.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of clauses : 94 ( 94 unt; 0 nHn; 3 RR)
% Number of literals : 94 ( 93 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 183 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c_53,plain,
mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,negated_conjecture,
mult(ld(x1,x1),x0) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_122,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_124,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_130,plain,
mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_132,plain,
mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_136,plain,
rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_154,plain,
mult(X0,mult(ld(mult(X1,X0),X2),X1)) = ld(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_130,c_50]) ).
cnf(c_168,plain,
mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(superposition,[status(thm)],[c_51,c_132]) ).
cnf(c_173,plain,
ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(superposition,[status(thm)],[c_132,c_50]) ).
cnf(c_185,plain,
mult(mult(X0,rd(X1,mult(X2,X0))),X2) = rd(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_51,c_136]) ).
cnf(c_189,plain,
mult(mult(X0,X1),rd(X2,X0)) = rd(mult(X0,mult(X1,X2)),X0),
inference(superposition,[status(thm)],[c_51,c_136]) ).
cnf(c_239,plain,
mult(ld(X0,X1),mult(ld(X1,X2),X0)) = ld(X0,mult(X2,X0)),
inference(superposition,[status(thm)],[c_49,c_154]) ).
cnf(c_240,plain,
ld(rd(X0,X1),mult(X2,rd(X0,X1))) = mult(X1,mult(ld(X0,X2),rd(X0,X1))),
inference(superposition,[status(thm)],[c_51,c_154]) ).
cnf(c_247,plain,
ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c_154,c_50]) ).
cnf(c_275,plain,
mult(X0,mult(ld(X0,rd(X1,rd(X2,X0))),X2)) = mult(X1,X0),
inference(superposition,[status(thm)],[c_51,c_168]) ).
cnf(c_283,plain,
ld(mult(X0,rd(X1,X2)),mult(X2,mult(ld(X2,X0),X1))) = X2,
inference(superposition,[status(thm)],[c_168,c_50]) ).
cnf(c_360,plain,
mult(ld(X0,rd(X1,X2)),mult(X2,X0)) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_51,c_173]) ).
cnf(c_397,plain,
mult(X0,rd(X1,mult(X2,X0))) = rd(rd(mult(X0,X1),X0),X2),
inference(superposition,[status(thm)],[c_185,c_52]) ).
cnf(c_443,plain,
mult(mult(X0,X1),rd(ld(X1,X2),X0)) = rd(mult(X0,X2),X0),
inference(superposition,[status(thm)],[c_49,c_189]) ).
cnf(c_591,plain,
mult(ld(mult(X0,X1),X0),X0) = ld(X1,X0),
inference(superposition,[status(thm)],[c_50,c_247]) ).
cnf(c_594,plain,
mult(ld(mult(X0,X1),rd(X2,X0)),X0) = ld(X1,ld(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_247]) ).
cnf(c_638,plain,
ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_591,c_52]) ).
cnf(c_639,plain,
ld(ld(mult(X0,X1),X0),ld(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_591,c_50]) ).
cnf(c_713,plain,
ld(mult(X0,rd(X0,X1)),X0) = rd(X1,X0),
inference(superposition,[status(thm)],[c_122,c_638]) ).
cnf(c_735,plain,
ld(ld(X0,rd(X0,X1)),ld(X1,rd(X0,X1))) = rd(X0,X1),
inference(superposition,[status(thm)],[c_51,c_639]) ).
cnf(c_836,plain,
mult(X0,rd(X0,X1)) = rd(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_713,c_124]) ).
cnf(c_872,plain,
mult(ld(X0,rd(X1,rd(X2,X0))),X2) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_275,c_50]) ).
cnf(c_1321,plain,
mult(X0,rd(ld(X0,X1),mult(X2,X0))) = rd(rd(X1,X0),X2),
inference(superposition,[status(thm)],[c_49,c_397]) ).
cnf(c_1372,plain,
mult(X0,rd(ld(ld(X1,X0),X2),X1)) = rd(mult(X1,X2),X1),
inference(superposition,[status(thm)],[c_49,c_443]) ).
cnf(c_1373,plain,
mult(X0,rd(ld(X1,X2),rd(X0,X1))) = rd(mult(rd(X0,X1),X2),rd(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_443]) ).
cnf(c_1624,plain,
ld(ld(X0,X1),ld(X0,X2)) = mult(ld(X1,rd(X2,X0)),X0),
inference(superposition,[status(thm)],[c_49,c_594]) ).
cnf(c_2116,plain,
ld(X0,rd(X1,rd(X2,X0))) = rd(ld(X0,mult(X1,X0)),X2),
inference(superposition,[status(thm)],[c_872,c_52]) ).
cnf(c_2469,plain,
mult(X0,rd(ld(X0,X1),X2)) = rd(rd(X1,X0),rd(X2,X0)),
inference(superposition,[status(thm)],[c_51,c_1321]) ).
cnf(c_2762,plain,
ld(X0,rd(mult(X1,X2),X1)) = rd(ld(ld(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c_1372,c_50]) ).
cnf(c_3105,plain,
mult(ld(rd(X0,X0),rd(rd(X0,X0),X0)),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_1624,c_735]) ).
cnf(c_3415,plain,
ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,rd(mult(X0,X1),X1))),
inference(superposition,[status(thm)],[c_2116,c_638]) ).
cnf(c_3422,plain,
ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,X0)),
inference(light_normalisation,[status(thm)],[c_3415,c_52]) ).
cnf(c_4397,plain,
ld(rd(X0,X0),rd(rd(X0,X0),X0)) = rd(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_3105,c_52]) ).
cnf(c_4921,plain,
ld(mult(X0,ld(X1,X0)),X0) = ld(ld(X1,X0),rd(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_3422]) ).
cnf(c_5065,plain,
mult(rd(X0,X0),rd(rd(X0,X0),X0)) = rd(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_4397,c_49]) ).
cnf(c_5269,plain,
ld(ld(X0,X0),rd(X0,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[c_49,c_4921]) ).
cnf(c_5323,plain,
rd(X0,ld(ld(X1,X0),rd(X1,X1))) = mult(X0,ld(X1,X0)),
inference(superposition,[status(thm)],[c_4921,c_124]) ).
cnf(c_5467,plain,
mult(ld(X0,X0),ld(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_5269,c_49]) ).
cnf(c_5480,plain,
ld(X0,rd(mult(X0,rd(X0,X0)),X0)) = rd(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_5269,c_2762]) ).
cnf(c_5481,plain,
ld(ld(X0,X0),mult(X0,ld(X0,X0))) = mult(ld(X0,X0),mult(X0,ld(X0,X0))),
inference(superposition,[status(thm)],[c_5269,c_360]) ).
cnf(c_6036,plain,
ld(rd(rd(X0,X0),X0),rd(X0,X0)) = rd(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_5065,c_713]) ).
cnf(c_6836,plain,
mult(X0,ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_5269,c_5323]) ).
cnf(c_7563,plain,
mult(X0,rd(ld(X0,X0),X0)) = rd(mult(X0,rd(X0,X0)),X0),
inference(superposition,[status(thm)],[c_5480,c_49]) ).
cnf(c_8196,plain,
rd(X0,rd(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_6036,c_122]) ).
cnf(c_8294,plain,
ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_8196,c_122]) ).
cnf(c_8317,plain,
mult(X0,rd(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_8196,c_836]) ).
cnf(c_8320,plain,
mult(X0,rd(ld(X0,X0),X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_7563,c_8317]) ).
cnf(c_8332,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_5467,c_8294]) ).
cnf(c_8333,plain,
ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_5269,c_8294]) ).
cnf(c_8334,plain,
ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,ld(X0,X0)),
inference(demodulation,[status(thm)],[c_3422,c_8294]) ).
cnf(c_8391,plain,
ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(X0,mult(ld(X0,X1),ld(X0,X0))),
inference(superposition,[status(thm)],[c_8294,c_240]) ).
cnf(c_8398,plain,
mult(ld(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_8294,c_51]) ).
cnf(c_8412,plain,
mult(X0,rd(ld(X0,X0),X1)) = rd(ld(X0,X0),rd(X1,X0)),
inference(superposition,[status(thm)],[c_8294,c_2469]) ).
cnf(c_8463,plain,
mult(ld(X0,rd(X1,ld(X0,X0))),ld(X0,X0)) = ld(X0,ld(ld(X0,X0),X1)),
inference(superposition,[status(thm)],[c_8398,c_594]) ).
cnf(c_9302,plain,
mult(X0,rd(ld(X0,X0),X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_8320,c_8294]) ).
cnf(c_9325,plain,
ld(X0,ld(X0,X0)) = rd(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_9302,c_50]) ).
cnf(c_9359,plain,
ld(ld(X0,X0),mult(X0,mult(ld(X0,X0),ld(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_9302,c_283]) ).
cnf(c_9364,plain,
mult(ld(X0,X0),mult(X0,ld(X0,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_9359,c_5481,c_8332]) ).
cnf(c_9460,plain,
mult(ld(X0,X0),mult(ld(X0,X0),mult(X1,ld(X0,X0)))) = mult(mult(ld(X0,X0),X1),ld(X0,X0)),
inference(superposition,[status(thm)],[c_8332,c_53]) ).
cnf(c_9467,plain,
mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[status(thm)],[c_8332,c_132]) ).
cnf(c_9566,plain,
mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))) = ld(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[c_8333,c_239]) ).
cnf(c_9610,plain,
mult(mult(X0,ld(X1,X1)),ld(X1,X1)) = mult(X1,mult(ld(X1,X0),ld(X1,X1))),
inference(light_normalisation,[status(thm)],[c_9566,c_8391,c_9467]) ).
cnf(c_10558,plain,
mult(X0,rd(ld(X1,X1),rd(X0,X1))) = rd(X0,rd(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_1373]) ).
cnf(c_10738,plain,
ld(X0,rd(X0,rd(X0,X1))) = rd(ld(X1,X1),rd(X0,X1)),
inference(superposition,[status(thm)],[c_10558,c_50]) ).
cnf(c_17072,plain,
ld(mult(X0,mult(X1,mult(X0,X0))),mult(mult(X0,X1),X0)) = ld(X0,ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[status(thm)],[c_53,c_8334]) ).
cnf(c_20845,plain,
ld(X0,rd(X0,rd(X0,X1))) = mult(X1,rd(ld(X1,X1),X0)),
inference(superposition,[status(thm)],[c_8412,c_10738]) ).
cnf(c_46510,plain,
ld(X0,rd(X0,ld(X0,X0))) = mult(X0,rd(ld(X0,X0),X0)),
inference(superposition,[status(thm)],[c_8294,c_20845]) ).
cnf(c_46756,plain,
ld(X0,mult(X0,ld(X0,X0))) = mult(X0,ld(X0,ld(X0,X0))),
inference(light_normalisation,[status(thm)],[c_46510,c_6836,c_9325]) ).
cnf(c_55669,plain,
ld(ld(X0,X0),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[c_9460,c_50]) ).
cnf(c_57236,plain,
ld(mult(ld(X0,X0),mult(X0,mult(ld(X0,X0),ld(X0,X0)))),mult(X0,ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_8398,c_17072]) ).
cnf(c_57350,plain,
ld(ld(X0,X0),ld(X0,X0)) = mult(X0,ld(X0,ld(X0,X0))),
inference(light_normalisation,[status(thm)],[c_57236,c_8332,c_9364,c_46756]) ).
cnf(c_126452,plain,
mult(ld(ld(X0,X0),ld(X0,X0)),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[c_55669,c_173]) ).
cnf(c_126465,plain,
mult(mult(X0,ld(X0,ld(X0,X0))),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(light_normalisation,[status(thm)],[c_126452,c_57350]) ).
cnf(c_196659,plain,
mult(X0,mult(ld(X0,rd(X1,ld(X0,X0))),ld(X0,X0))) = mult(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_9610]) ).
cnf(c_196982,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X1,ld(X0,X0)),
inference(light_normalisation,[status(thm)],[c_196659,c_8463]) ).
cnf(c_197354,plain,
mult(mult(ld(X0,X0),X1),ld(X0,X0)) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_196982]) ).
cnf(c_197399,plain,
ld(ld(X0,X0),X1) = mult(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[c_196982,c_49]) ).
cnf(c_197656,plain,
mult(mult(ld(X0,X0),X1),ld(X0,X0)) = X1,
inference(light_normalisation,[status(thm)],[c_197354,c_49]) ).
cnf(c_198109,plain,
mult(ld(X0,X0),mult(X1,ld(X0,X0))) = X1,
inference(superposition,[status(thm)],[c_197399,c_49]) ).
cnf(c_199165,plain,
mult(ld(ld(X0,X0),ld(X0,X0)),mult(X1,ld(X0,X0))) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_197656,c_173]) ).
cnf(c_199282,plain,
mult(X0,ld(X1,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_199165,c_57350,c_126465,c_197399,c_198109]) ).
cnf(c_199387,plain,
mult(ld(X0,X0),X1) = X1,
inference(demodulation,[status(thm)],[c_197656,c_199282]) ).
cnf(c_199397,plain,
x0 != x0,
inference(demodulation,[status(thm)],[c_54,c_199387]) ).
cnf(c_199398,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_199397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP660-14 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 23:40:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.46 Running UEQ theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 111.25/15.15 % SZS status Started for theBenchmark.p
% 111.25/15.15 % SZS status Unsatisfiable for theBenchmark.p
% 111.25/15.15
% 111.25/15.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 111.25/15.15
% 111.25/15.15 ------ iProver source info
% 111.25/15.15
% 111.25/15.15 git: date: 2023-05-31 18:12:56 +0000
% 111.25/15.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 111.25/15.15 git: non_committed_changes: false
% 111.25/15.15 git: last_make_outside_of_git: false
% 111.25/15.15
% 111.25/15.15 ------ Parsing...successful
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 111.25/15.15
% 111.25/15.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 111.25/15.15
% 111.25/15.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 111.25/15.15 ------ Proving...
% 111.25/15.15 ------ Problem Properties
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15 clauses 6
% 111.25/15.15 conjectures 1
% 111.25/15.15 EPR 0
% 111.25/15.15 Horn 6
% 111.25/15.15 unary 6
% 111.25/15.15 binary 0
% 111.25/15.15 lits 6
% 111.25/15.15 lits eq 6
% 111.25/15.15 fd_pure 0
% 111.25/15.15 fd_pseudo 0
% 111.25/15.15 fd_cond 0
% 111.25/15.15 fd_pseudo_cond 0
% 111.25/15.15 AC symbols 0
% 111.25/15.15
% 111.25/15.15 ------ Input Options Time Limit: Unbounded
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15 ------
% 111.25/15.15 Current options:
% 111.25/15.15 ------
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15 ------ Proving...
% 111.25/15.15
% 111.25/15.15
% 111.25/15.15 % SZS status Unsatisfiable for theBenchmark.p
% 111.25/15.15
% 111.25/15.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 111.25/15.16
% 111.25/15.16
%------------------------------------------------------------------------------