TSTP Solution File: GRP660-11 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP660-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 01:01:12 EDT 2023
% Result : Unsatisfiable 115.65s 15.66s
% Output : CNFRefutation 115.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 6
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 3 RR)
% Number of literals : 62 ( 61 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 : 121 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c_54,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
file('/export/starexec/sandbox2/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_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_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_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_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_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_624,plain,
ld(ld(X0,X1),X0) = mult(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_49,c_591]) ).
cnf(c_700,plain,
rd(X0,mult(ld(X1,X0),X0)) = ld(X0,X1),
inference(superposition,[status(thm)],[c_624,c_124]) ).
cnf(c_750,plain,
ld(X0,rd(X0,X1)) = rd(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_122,c_700]) ).
cnf(c_950,plain,
rd(rd(X0,X1),rd(X0,mult(X1,X0))) = X0,
inference(superposition,[status(thm)],[c_750,c_124]) ).
cnf(c_1143,plain,
rd(rd(ld(X0,X1),X0),rd(ld(X0,X1),X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[c_49,c_950]) ).
cnf(c_1376,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_1670,plain,
mult(rd(mult(X0,X1),mult(X0,mult(X0,X1))),X0) = ld(X1,ld(X0,mult(X0,X1))),
inference(superposition,[status(thm)],[c_750,c_594]) ).
cnf(c_1672,plain,
mult(ld(X0,rd(X1,rd(X0,X2))),rd(X0,X2)) = ld(X2,ld(rd(X0,X2),X1)),
inference(superposition,[status(thm)],[c_51,c_594]) ).
cnf(c_1728,plain,
mult(rd(mult(X0,X1),mult(X0,mult(X0,X1))),X0) = ld(X1,X1),
inference(light_normalisation,[status(thm)],[c_1670,c_50]) ).
cnf(c_2595,plain,
mult(X0,rd(ld(X0,X1),X2)) = rd(rd(X1,X0),rd(X2,X0)),
inference(superposition,[status(thm)],[c_51,c_1376]) ).
cnf(c_3037,plain,
mult(rd(X0,mult(rd(X0,X1),X0)),rd(X0,X1)) = ld(X1,X1),
inference(superposition,[status(thm)],[c_51,c_1728]) ).
cnf(c_3685,plain,
mult(X0,rd(ld(X0,ld(X0,X0)),ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_2595,c_1143]) ).
cnf(c_3990,plain,
mult(rd(X0,X0),rd(X0,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[c_51,c_3037]) ).
cnf(c_4031,plain,
rd(ld(X0,X0),rd(X1,X0)) = rd(X1,mult(rd(X1,X0),X1)),
inference(superposition,[status(thm)],[c_3037,c_52]) ).
cnf(c_4121,plain,
ld(rd(X0,X0),ld(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_3990,c_50]) ).
cnf(c_5393,plain,
rd(ld(X0,ld(X0,X0)),ld(X0,X0)) = ld(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_3685,c_50]) ).
cnf(c_5780,plain,
mult(ld(X0,ld(X0,X0)),ld(X0,X0)) = ld(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_5393,c_51]) ).
cnf(c_6091,plain,
rd(ld(X0,X0),ld(X0,ld(X0,X0))) = ld(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_5780,c_700]) ).
cnf(c_7744,plain,
ld(ld(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_6091,c_124]) ).
cnf(c_7839,plain,
ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(X0,mult(ld(X0,X1),ld(X0,X0))),
inference(superposition,[status(thm)],[c_7744,c_239]) ).
cnf(c_7849,plain,
ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_7744,c_124]) ).
cnf(c_7873,plain,
rd(rd(X0,X0),rd(X1,X0)) = rd(X1,mult(rd(X1,X0),X1)),
inference(demodulation,[status(thm)],[c_4031,c_7849]) ).
cnf(c_7874,plain,
ld(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_4121,c_7849]) ).
cnf(c_7875,plain,
mult(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_3990,c_7849]) ).
cnf(c_7962,plain,
mult(rd(X0,X0),mult(ld(X0,X1),X0)) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_7849,c_239]) ).
cnf(c_7964,plain,
mult(X0,rd(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_7849,c_49]) ).
cnf(c_7971,plain,
rd(X0,mult(rd(X0,X0),X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_7849,c_700]) ).
cnf(c_8038,plain,
ld(rd(X0,X0),mult(X1,rd(X0,X0))) = mult(ld(rd(X0,X0),rd(X1,X0)),X0),
inference(superposition,[status(thm)],[c_7964,c_360]) ).
cnf(c_9069,plain,
mult(rd(X0,X0),mult(ld(rd(X0,X0),X1),rd(X0,X0))) = mult(mult(X1,rd(X0,X0)),rd(X0,X0)),
inference(superposition,[status(thm)],[c_7875,c_132]) ).
cnf(c_17673,plain,
mult(rd(X0,mult(rd(X0,X0),X0)),mult(ld(rd(X0,X0),X1),rd(X0,X0))) = ld(rd(X0,X0),mult(X1,rd(X0,X0))),
inference(superposition,[status(thm)],[c_7873,c_7962]) ).
cnf(c_17773,plain,
mult(ld(rd(X0,X0),rd(X1,X0)),X0) = mult(mult(X1,rd(X0,X0)),rd(X0,X0)),
inference(light_normalisation,[status(thm)],[c_17673,c_7971,c_8038,c_9069]) ).
cnf(c_186801,plain,
mult(mult(X0,rd(X1,X1)),rd(X1,X1)) = mult(X1,mult(ld(X1,X0),rd(X1,X1))),
inference(light_normalisation,[status(thm)],[c_7839,c_7849,c_8038,c_17773]) ).
cnf(c_186810,plain,
mult(X0,mult(ld(X0,rd(X1,rd(X0,X0))),rd(X0,X0))) = mult(X1,rd(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_186801]) ).
cnf(c_187667,plain,
mult(X0,ld(X0,ld(rd(X0,X0),X1))) = mult(X1,rd(X0,X0)),
inference(superposition,[status(thm)],[c_1672,c_186810]) ).
cnf(c_189022,plain,
mult(mult(rd(X0,X0),X1),rd(X0,X0)) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_187667]) ).
cnf(c_189061,plain,
ld(rd(X0,X0),X1) = mult(X1,rd(X0,X0)),
inference(superposition,[status(thm)],[c_187667,c_49]) ).
cnf(c_189336,plain,
mult(mult(rd(X0,X0),X1),rd(X0,X0)) = X1,
inference(light_normalisation,[status(thm)],[c_189022,c_49]) ).
cnf(c_189801,plain,
mult(rd(X0,X0),mult(X1,rd(X0,X0))) = X1,
inference(superposition,[status(thm)],[c_189061,c_49]) ).
cnf(c_190426,plain,
mult(ld(rd(X0,X0),rd(X0,X0)),mult(X1,rd(X0,X0))) = ld(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_189336,c_173]) ).
cnf(c_190575,plain,
mult(X0,rd(X1,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_190426,c_7874,c_189061,c_189801]) ).
cnf(c_190681,plain,
x0 != x0,
inference(demodulation,[status(thm)],[c_54,c_190575]) ).
cnf(c_190743,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_190681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP660-11 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 23:44:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 115.65/15.66 % SZS status Started for theBenchmark.p
% 115.65/15.66 % SZS status Unsatisfiable for theBenchmark.p
% 115.65/15.66
% 115.65/15.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 115.65/15.66
% 115.65/15.66 ------ iProver source info
% 115.65/15.66
% 115.65/15.66 git: date: 2023-05-31 18:12:56 +0000
% 115.65/15.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 115.65/15.66 git: non_committed_changes: false
% 115.65/15.66 git: last_make_outside_of_git: false
% 115.65/15.66
% 115.65/15.66 ------ Parsing...successful
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 115.65/15.66
% 115.65/15.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 115.65/15.66
% 115.65/15.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 115.65/15.66 ------ Proving...
% 115.65/15.66 ------ Problem Properties
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66 clauses 6
% 115.65/15.66 conjectures 1
% 115.65/15.66 EPR 0
% 115.65/15.66 Horn 6
% 115.65/15.66 unary 6
% 115.65/15.66 binary 0
% 115.65/15.66 lits 6
% 115.65/15.66 lits eq 6
% 115.65/15.66 fd_pure 0
% 115.65/15.66 fd_pseudo 0
% 115.65/15.66 fd_cond 0
% 115.65/15.66 fd_pseudo_cond 0
% 115.65/15.66 AC symbols 0
% 115.65/15.66
% 115.65/15.66 ------ Input Options Time Limit: Unbounded
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66 ------
% 115.65/15.66 Current options:
% 115.65/15.66 ------
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66 ------ Proving...
% 115.65/15.66
% 115.65/15.66
% 115.65/15.66 % SZS status Unsatisfiable for theBenchmark.p
% 115.65/15.66
% 115.65/15.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 115.65/15.66
% 115.65/15.66
%------------------------------------------------------------------------------