TSTP Solution File: BOO009-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : BOO009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Wed Aug 30 18:09:03 EDT 2023
% Result : Unsatisfiable 0.47s 1.18s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 58 ( 48 unt; 0 nHn; 20 RR)
% Number of literals : 92 ( 62 equ; 42 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 125 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ product(x,add(x,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equations) ).
cnf(c_52,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
cnf(c_54,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(c_55,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
cnf(c_56,plain,
product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
cnf(c_57,plain,
product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity2) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity4) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ sum(X6,X0,X3)
| ~ sum(X6,X1,X4)
| sum(X6,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
cnf(c_65,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ sum(X0,X6,X3)
| ~ sum(X1,X6,X4)
| sum(X2,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
cnf(c_67,plain,
sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
cnf(c_69,plain,
product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
cnf(c_83,plain,
multiply(x,add(x,y)) != x,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_86,plain,
( add(X0,X1) != X2
| add(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_90,plain,
add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_91,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_92,plain,
multiply(multiplicative_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_93,plain,
multiply(X0,multiplicative_identity) = X0,
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_96,plain,
( add(X0,X1) != X2
| add(X3,X4) != X5
| multiply(X6,X0) != X3
| multiply(X6,X1) != X4
| multiply(X6,X2) = X5 ),
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_100,plain,
( add(X0,X1) != X2
| add(X3,X4) != X5
| multiply(X0,X6) != X3
| multiply(X1,X6) != X4
| multiply(X2,X6) = X5 ),
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_104,plain,
( add(X0,X1) != X2
| add(X0,X3) != X4
| multiply(X1,X3) != X5
| multiply(X2,X4) != X6
| add(X0,X5) = X6 ),
inference(well_definedness,[status(thm)],[c_63]) ).
cnf(c_108,plain,
( add(X0,X1) != X2
| add(X3,X1) != X4
| multiply(X0,X3) != X5
| multiply(X2,X4) != X6
| add(X5,X1) = X6 ),
inference(well_definedness,[status(thm)],[c_65]) ).
cnf(c_111,plain,
add(X0,inverse(X0)) = multiplicative_identity,
inference(well_definedness,[status(thm)],[c_67]) ).
cnf(c_113,plain,
multiply(X0,inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_69]) ).
cnf(c_253,plain,
add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_86]) ).
cnf(c_257,plain,
multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
inference(unflattening,[status(thm)],[c_108]) ).
cnf(c_259,plain,
multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_104]) ).
cnf(c_261,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_100]) ).
cnf(c_263,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_96]) ).
cnf(c_354,plain,
add(multiply(x,x),multiply(x,y)) != x,
inference(demodulation,[status(thm)],[c_83,c_263]) ).
cnf(c_377,plain,
add(add(multiply(X0,X1),multiply(X0,X2)),add(multiply(X2,X1),multiply(X2,X2))) = add(multiply(X0,X1),X2),
inference(demodulation,[status(thm)],[c_257,c_261,c_263]) ).
cnf(c_380,plain,
add(add(multiply(X0,X1),multiply(X0,X2)),add(multiply(X1,X2),multiply(X1,X1))) = add(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_253,c_377]) ).
cnf(c_407,plain,
add(add(multiply(X0,X0),multiply(X0,X1)),add(multiply(X2,X0),multiply(X2,X1))) = add(X0,multiply(X2,X1)),
inference(demodulation,[status(thm)],[c_259,c_261,c_263]) ).
cnf(c_434,plain,
add(multiply(X0,X0),X1) = add(X0,multiply(X1,X1)),
inference(superposition,[status(thm)],[c_407,c_377]) ).
cnf(c_446,plain,
add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_90,c_261]) ).
cnf(c_485,plain,
add(X0,multiply(additive_identity,additive_identity)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_434,c_91]) ).
cnf(c_493,plain,
add(add(x,multiply(additive_identity,additive_identity)),multiply(x,y)) != x,
inference(demodulation,[status(thm)],[c_354,c_485]) ).
cnf(c_500,plain,
add(add(multiply(additive_identity,additive_identity),x),multiply(x,y)) != x,
inference(demodulation,[status(thm)],[c_493,c_253]) ).
cnf(c_565,plain,
add(multiply(additive_identity,X0),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_446]) ).
cnf(c_568,plain,
add(multiply(additive_identity,inverse(X0)),additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_113,c_446]) ).
cnf(c_590,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_111,c_263]) ).
cnf(c_620,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_590,c_93]) ).
cnf(c_629,plain,
add(X0,multiply(additive_identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_565,c_253]) ).
cnf(c_643,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_629,c_485]) ).
cnf(c_646,plain,
multiply(X0,X0) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_485,c_643]) ).
cnf(c_647,plain,
add(add(additive_identity,x),multiply(x,y)) != x,
inference(demodulation,[status(thm)],[c_500,c_643]) ).
cnf(c_648,plain,
multiply(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_646,c_91]) ).
cnf(c_650,plain,
add(X0,multiply(X1,X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_434,c_648]) ).
cnf(c_679,plain,
multiply(additive_identity,inverse(X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_568,c_91]) ).
cnf(c_687,plain,
add(x,multiply(x,y)) != x,
inference(demodulation,[status(thm)],[c_647,c_90]) ).
cnf(c_705,plain,
add(multiply(additive_identity,X0),additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_679,c_620]) ).
cnf(c_730,plain,
multiply(additive_identity,X0) = additive_identity,
inference(demodulation,[status(thm)],[c_705,c_91]) ).
cnf(c_764,plain,
add(add(multiply(X0,X1),multiply(X0,X2)),add(X1,multiply(X1,X2))) = add(multiply(X0,X2),X1),
inference(demodulation,[status(thm)],[c_380,c_253,c_650]) ).
cnf(c_788,plain,
add(add(multiply(additive_identity,X0),additive_identity),add(X0,multiply(X0,X1))) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_730,c_764]) ).
cnf(c_805,plain,
add(additive_identity,add(X0,multiply(X0,X1))) = X0,
inference(light_normalisation,[status(thm)],[c_788,c_90,c_705]) ).
cnf(c_881,plain,
add(X0,multiply(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_805,c_90]) ).
cnf(c_883,plain,
x != x,
inference(demodulation,[status(thm)],[c_687,c_881]) ).
cnf(c_884,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_883]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 08:59:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.18 % SZS status Started for theBenchmark.p
% 0.47/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.18
% 0.47/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.18
% 0.47/1.18 ------ iProver source info
% 0.47/1.18
% 0.47/1.18 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.18 git: non_committed_changes: false
% 0.47/1.18 git: last_make_outside_of_git: false
% 0.47/1.18
% 0.47/1.18 ------ Parsing...successful
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 ------ Preprocessing... sup_sim: 18 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.18
% 0.47/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.18
% 0.47/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.47/1.18 ------ Proving...
% 0.47/1.18 ------ Problem Properties
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 clauses 13
% 0.47/1.18 conjectures 0
% 0.47/1.18 EPR 0
% 0.47/1.18 Horn 13
% 0.47/1.18 unary 13
% 0.47/1.18 binary 0
% 0.47/1.18 lits 13
% 0.47/1.18 lits eq 13
% 0.47/1.18 fd_pure 0
% 0.47/1.18 fd_pseudo 0
% 0.47/1.18 fd_cond 0
% 0.47/1.18 fd_pseudo_cond 0
% 0.47/1.18 AC symbols 0
% 0.47/1.18
% 0.47/1.18 ------ Schedule UEQ
% 0.47/1.18
% 0.47/1.18 ------ Option_UEQ Time Limit: 10.
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 ------
% 0.47/1.18 Current options:
% 0.47/1.18 ------
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 ------ Proving...
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.18
% 0.47/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.18
% 0.47/1.19
%------------------------------------------------------------------------------