TSTP Solution File: RNG001-5 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 13:54:34 EDT 2023
% Result : Unsatisfiable 130.13s 17.83s
% Output : CNFRefutation 130.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 44 ( 18 unt; 0 nHn; 33 RR)
% Number of literals : 108 ( 0 equ; 65 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ equalish(X2,X3)
| product(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
cnf(c_61,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
cnf(c_62,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
cnf(c_63,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(c_64,plain,
sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
cnf(c_65,plain,
sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_68,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
cnf(c_72,plain,
( ~ sum(X0,X1,X2)
| ~ product(X3,X0,X4)
| ~ product(X3,X1,X5)
| ~ product(X3,X2,X6)
| sum(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
cnf(c_76,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
cnf(c_78,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiplicative_identity_axiom) ).
cnf(c_80,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_252,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ equalish(multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_277,plain,
( ~ sum(X0,X1,multiply(X2,X3))
| ~ sum(X0,X1,X4)
| equalish(multiply(X2,X3),X4) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_693,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(additive_identity,multiply(X0,X1),X2)
| equalish(multiply(X0,X1),X2) ),
inference(instantiation,[status(thm)],[c_277]) ).
cnf(c_694,plain,
sum(additive_identity,multiply(X0,X1),multiply(X0,X1)),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_872,plain,
( ~ sum(additive_identity,multiply(X0,X1),add(additive_identity,multiply(X0,X1)))
| ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| equalish(multiply(X0,X1),add(additive_identity,multiply(X0,X1))) ),
inference(instantiation,[status(thm)],[c_693]) ).
cnf(c_873,plain,
sum(additive_identity,multiply(X0,X1),add(additive_identity,multiply(X0,X1))),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_3665,plain,
sum(additive_inverse(multiply(X0,X1)),multiply(X0,X1),additive_identity),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_4328,plain,
( ~ equalish(multiply(X0,X1),add(additive_identity,multiply(X0,X1)))
| ~ product(X0,X1,multiply(X0,X1))
| product(X0,X1,add(additive_identity,multiply(X0,X1))) ),
inference(instantiation,[status(thm)],[c_252]) ).
cnf(c_18861,plain,
( ~ product(a,additive_identity,X0)
| ~ equalish(X0,additive_identity)
| product(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_27207,plain,
( ~ product(a,additive_identity,add(additive_identity,multiply(a,additive_identity)))
| ~ equalish(add(additive_identity,multiply(a,additive_identity)),additive_identity)
| product(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_18861]) ).
cnf(c_27208,plain,
( ~ equalish(multiply(a,additive_identity),add(additive_identity,multiply(a,additive_identity)))
| ~ product(a,additive_identity,multiply(a,additive_identity))
| product(a,additive_identity,add(additive_identity,multiply(a,additive_identity))) ),
inference(instantiation,[status(thm)],[c_4328]) ).
cnf(c_28059,plain,
product(a,X0,multiply(a,X0)),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_28060,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_28059]) ).
cnf(c_36166,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),add(additive_identity,multiply(a,additive_identity)))
| ~ sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity))
| equalish(multiply(a,additive_identity),add(additive_identity,multiply(a,additive_identity))) ),
inference(instantiation,[status(thm)],[c_872]) ).
cnf(c_36534,plain,
( ~ sum(X0,X1,add(X2,multiply(a,X3)))
| ~ sum(X0,X1,additive_identity)
| equalish(add(X2,multiply(a,X3)),additive_identity) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_58676,plain,
sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_694]) ).
cnf(c_65274,plain,
( ~ sum(additive_identity,multiply(a,X0),add(additive_identity,multiply(a,X0)))
| ~ sum(additive_identity,multiply(a,X0),additive_identity)
| equalish(add(additive_identity,multiply(a,X0)),additive_identity) ),
inference(instantiation,[status(thm)],[c_36534]) ).
cnf(c_65275,plain,
sum(additive_identity,multiply(a,X0),add(additive_identity,multiply(a,X0))),
inference(instantiation,[status(thm)],[c_873]) ).
cnf(c_65276,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),add(additive_identity,multiply(a,additive_identity)))
| ~ sum(additive_identity,multiply(a,additive_identity),additive_identity)
| equalish(add(additive_identity,multiply(a,additive_identity)),additive_identity) ),
inference(instantiation,[status(thm)],[c_65274]) ).
cnf(c_65277,plain,
sum(additive_identity,multiply(a,additive_identity),add(additive_identity,multiply(a,additive_identity))),
inference(instantiation,[status(thm)],[c_65275]) ).
cnf(c_72011,plain,
sum(additive_inverse(multiply(a,X0)),multiply(a,X0),additive_identity),
inference(instantiation,[status(thm)],[c_3665]) ).
cnf(c_72013,plain,
sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[c_72011]) ).
cnf(c_561037,plain,
( ~ product(X0,X1,multiply(a,additive_identity))
| ~ sum(X2,X3,X1)
| ~ product(X0,X2,X4)
| ~ product(X0,X3,X5)
| sum(X4,X5,multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_569455,plain,
( ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ sum(X0,X1,additive_identity)
| ~ product(a,X0,X2)
| ~ product(a,X1,X3)
| sum(X2,X3,multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_561037]) ).
cnf(c_575961,plain,
( ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(a,X0,X1)
| ~ sum(X0,additive_identity,additive_identity)
| sum(X1,multiply(a,additive_identity),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_569455]) ).
cnf(c_580439,plain,
( ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_575961]) ).
cnf(c_648927,plain,
( ~ sum(X0,multiply(X1,X2),X3)
| ~ sum(X4,X3,X5)
| ~ sum(X4,X0,additive_identity)
| sum(additive_identity,multiply(X1,X2),X5) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_651865,plain,
( ~ sum(X0,multiply(X1,X2),multiply(X1,X2))
| ~ sum(X3,multiply(X1,X2),X4)
| ~ sum(X3,X0,additive_identity)
| sum(additive_identity,multiply(X1,X2),X4) ),
inference(instantiation,[status(thm)],[c_648927]) ).
cnf(c_684016,plain,
( ~ sum(X0,multiply(a,X1),multiply(a,X1))
| ~ sum(X2,multiply(a,X1),additive_identity)
| ~ sum(X2,X0,additive_identity)
| sum(additive_identity,multiply(a,X1),additive_identity) ),
inference(instantiation,[status(thm)],[c_651865]) ).
cnf(c_831880,plain,
( ~ sum(additive_inverse(multiply(a,X0)),multiply(a,X0),additive_identity)
| ~ sum(X1,multiply(a,X0),multiply(a,X0))
| ~ sum(additive_inverse(multiply(a,X0)),X1,additive_identity)
| sum(additive_identity,multiply(a,X0),additive_identity) ),
inference(instantiation,[status(thm)],[c_684016]) ).
cnf(c_864156,plain,
( ~ sum(multiply(a,X0),multiply(a,X0),multiply(a,X0))
| ~ sum(additive_inverse(multiply(a,X0)),multiply(a,X0),additive_identity)
| sum(additive_identity,multiply(a,X0),additive_identity) ),
inference(instantiation,[status(thm)],[c_831880]) ).
cnf(c_864157,plain,
( ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity))
| ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| sum(additive_identity,multiply(a,additive_identity),additive_identity) ),
inference(instantiation,[status(thm)],[c_864156]) ).
cnf(c_864158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_864157,c_580439,c_72013,c_65277,c_65276,c_58676,c_36166,c_28060,c_27208,c_27207,c_78,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n009.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 02:26:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 130.13/17.83 % SZS status Started for theBenchmark.p
% 130.13/17.83 % SZS status Unsatisfiable for theBenchmark.p
% 130.13/17.83
% 130.13/17.83 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 130.13/17.83
% 130.13/17.83 ------ iProver source info
% 130.13/17.83
% 130.13/17.83 git: date: 2023-05-31 18:12:56 +0000
% 130.13/17.83 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 130.13/17.83 git: non_committed_changes: false
% 130.13/17.83 git: last_make_outside_of_git: false
% 130.13/17.83
% 130.13/17.83 ------ Parsing...successful
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 130.13/17.83
% 130.13/17.83 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 130.13/17.83 ------ Proving...
% 130.13/17.83 ------ Problem Properties
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83 clauses 30
% 130.13/17.83 conjectures 1
% 130.13/17.83 EPR 23
% 130.13/17.83 Horn 30
% 130.13/17.83 unary 8
% 130.13/17.83 binary 5
% 130.13/17.83 lits 81
% 130.13/17.83 lits eq 0
% 130.13/17.83 fd_pure 0
% 130.13/17.83 fd_pseudo 0
% 130.13/17.83 fd_cond 0
% 130.13/17.83 fd_pseudo_cond 0
% 130.13/17.83 AC symbols 0
% 130.13/17.83
% 130.13/17.83 ------ Schedule dynamic 5 is on
% 130.13/17.83
% 130.13/17.83 ------ no equalities: superposition off
% 130.13/17.83
% 130.13/17.83 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83 ------
% 130.13/17.83 Current options:
% 130.13/17.83 ------
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83 ------ Proving...
% 130.13/17.83 Proof_search_loop: time out after: 7741 full_loop iterations
% 130.13/17.83
% 130.13/17.83 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83 ------
% 130.13/17.83 Current options:
% 130.13/17.83 ------
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83 ------ Proving...
% 130.13/17.83
% 130.13/17.83
% 130.13/17.83 % SZS status Unsatisfiable for theBenchmark.p
% 130.13/17.83
% 130.13/17.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 130.13/17.83
% 130.13/17.84
%------------------------------------------------------------------------------