TSTP Solution File: RNG007-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 13:54:37 EDT 2023
% Result : Unsatisfiable 3.74s 1.15s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of clauses : 48 ( 40 unt; 0 nHn; 11 RR)
% Number of literals : 72 ( 51 equ; 26 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 98 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x) ).
cnf(c_50,negated_conjecture,
~ sum(a,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_a_is_id) ).
cnf(c_52,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
cnf(c_56,plain,
sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(c_58,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
cnf(c_59,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
cnf(c_65,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity4) ).
cnf(c_76,plain,
multiply(X0,X0) = X0,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_77,plain,
add(a,a) != additive_identity,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_79,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_83,plain,
add(X0,additive_inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_86,plain,
( add(X0,X1) != X2
| add(X0,X3) != X4
| add(X1,X5) != X3
| add(X2,X5) = X4 ),
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_88,plain,
( add(X0,X1) != X2
| add(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_96,plain,
( multiply(X0,X1) != X2
| multiply(X0,X3) != X4
| add(X1,X3) != X5
| add(X2,X4) != X6
| multiply(X0,X5) = X6 ),
inference(well_definedness,[status(thm)],[c_63]) ).
cnf(c_100,plain,
( multiply(X0,X1) != X2
| multiply(X3,X1) != X4
| add(X0,X3) != X5
| add(X2,X4) != X6
| multiply(X5,X1) = X6 ),
inference(well_definedness,[status(thm)],[c_65]) ).
cnf(c_218,plain,
add(X0,X1) = add(X1,X0),
inference(unflattening,[status(thm)],[c_88]) ).
cnf(c_224,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_86]) ).
cnf(c_226,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_100]) ).
cnf(c_228,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_96]) ).
cnf(c_328,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_79,c_218]) ).
cnf(c_346,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_83,c_224]) ).
cnf(c_351,plain,
add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_328,c_226]) ).
cnf(c_353,plain,
add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = multiply(additive_identity,X1),
inference(superposition,[status(thm)],[c_83,c_226]) ).
cnf(c_362,plain,
add(multiply(X0,additive_identity),multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_328,c_228]) ).
cnf(c_364,plain,
add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_83,c_228]) ).
cnf(c_384,plain,
add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_346,c_328]) ).
cnf(c_389,plain,
add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[status(thm)],[c_83,c_384]) ).
cnf(c_402,plain,
additive_inverse(additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_389,c_79]) ).
cnf(c_542,plain,
add(multiply(additive_identity,X0),X0) = X0,
inference(superposition,[status(thm)],[c_76,c_351]) ).
cnf(c_556,plain,
add(X0,multiply(additive_identity,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_542,c_224,c_218]) ).
cnf(c_575,plain,
add(X0,additive_inverse(X0)) = multiply(additive_identity,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_556,c_384]) ).
cnf(c_576,plain,
multiply(additive_identity,additive_inverse(X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_575,c_83]) ).
cnf(c_612,plain,
add(multiply(X0,additive_identity),X0) = X0,
inference(superposition,[status(thm)],[c_76,c_362]) ).
cnf(c_627,plain,
add(X0,multiply(X0,additive_identity)) = X0,
inference(theory_normalisation,[status(thm)],[c_612,c_224,c_218]) ).
cnf(c_644,plain,
add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(superposition,[status(thm)],[c_627,c_384]) ).
cnf(c_646,plain,
multiply(additive_inverse(X0),additive_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_644,c_83]) ).
cnf(c_658,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_402,c_576]) ).
cnf(c_692,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_402,c_646]) ).
cnf(c_764,plain,
add(multiply(X0,X1),multiply(additive_inverse(X0),X1)) = additive_identity,
inference(demodulation,[status(thm)],[c_353,c_658]) ).
cnf(c_765,plain,
add(X0,multiply(additive_inverse(X0),X0)) = additive_identity,
inference(superposition,[status(thm)],[c_76,c_764]) ).
cnf(c_812,plain,
multiply(additive_inverse(additive_inverse(X0)),additive_inverse(X0)) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_765,c_384]) ).
cnf(c_815,plain,
multiply(X0,additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_812,c_79,c_402]) ).
cnf(c_976,plain,
add(multiply(X0,X1),multiply(X0,additive_inverse(X1))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_364,c_692]) ).
cnf(c_992,plain,
add(multiply(X0,X0),X0) = additive_identity,
inference(superposition,[status(thm)],[c_815,c_976]) ).
cnf(c_1002,plain,
add(X0,multiply(X0,X0)) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_992,c_224,c_218]) ).
cnf(c_1003,plain,
add(X0,X0) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1002,c_76]) ).
cnf(c_1022,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_77,c_1003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:47:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.74/1.15 % SZS status Started for theBenchmark.p
% 3.74/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.15
% 3.74/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.74/1.15
% 3.74/1.15 ------ iProver source info
% 3.74/1.15
% 3.74/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.74/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.74/1.15 git: non_committed_changes: false
% 3.74/1.15 git: last_make_outside_of_git: false
% 3.74/1.15
% 3.74/1.15 ------ Parsing...successful
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15 ------ Preprocessing... sup_sim: 15 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 1 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
% 3.74/1.15
% 3.74/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.74/1.15
% 3.74/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.74/1.15 ------ Proving...
% 3.74/1.15 ------ Problem Properties
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15 clauses 9
% 3.74/1.15 conjectures 0
% 3.74/1.15 EPR 0
% 3.74/1.15 Horn 9
% 3.74/1.15 unary 9
% 3.74/1.15 binary 0
% 3.74/1.15 lits 9
% 3.74/1.15 lits eq 9
% 3.74/1.15 fd_pure 0
% 3.74/1.15 fd_pseudo 0
% 3.74/1.15 fd_cond 0
% 3.74/1.15 fd_pseudo_cond 0
% 3.74/1.15 AC symbols 1
% 3.74/1.15
% 3.74/1.15 ------ Schedule UEQ
% 3.74/1.15
% 3.74/1.15 ------ Option_UEQ Time Limit: 10.
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15 ------
% 3.74/1.15 Current options:
% 3.74/1.15 ------
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15 ------ Proving...
% 3.74/1.15
% 3.74/1.15
% 3.74/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.15
% 3.74/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.15
% 3.74/1.15
%------------------------------------------------------------------------------