TSTP Solution File: HEN010-4 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN010-4 : 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 01:56:02 EDT 2023
% Result : Unsatisfiable 3.53s 1.16s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 16 unt; 0 nHn; 8 RR)
% Number of literals : 29 ( 12 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
divide(X0,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(c_54,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(c_57,plain,
divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(c_58,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_inversion) ).
cnf(c_60,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_61,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_62,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c_63,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_64,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(c_474,plain,
less_equal(X0,X0),
inference(superposition,[status(thm)],[c_51,c_60]) ).
cnf(c_519,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(superposition,[status(thm)],[c_474,c_54]) ).
cnf(c_722,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_63,c_64]) ).
cnf(c_765,plain,
less_equal(divide(divide(X0,X1),zero),divide(divide(X0,X1),X1)),
inference(superposition,[status(thm)],[c_51,c_62]) ).
cnf(c_966,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_519,c_722]) ).
cnf(c_1032,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_966,c_60]) ).
cnf(c_1084,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_1032,c_64]) ).
cnf(c_1094,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_1084,c_61]) ).
cnf(c_2996,plain,
less_equal(divide(X0,X1),divide(divide(X0,X1),X1)),
inference(demodulation,[status(thm)],[c_765,c_1094]) ).
cnf(c_3022,plain,
( ~ less_equal(divide(divide(X0,X1),X1),divide(X0,X1))
| divide(divide(X0,X1),X1) = divide(X0,X1) ),
inference(superposition,[status(thm)],[c_2996,c_64]) ).
cnf(c_3041,plain,
divide(divide(X0,X1),X1) = divide(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_3022,c_61]) ).
cnf(c_3056,plain,
divide(divide(identity,X0),divide(identity,divide(identity,X0))) = divide(identity,X0),
inference(superposition,[status(thm)],[c_57,c_3041]) ).
cnf(c_3133,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_3056]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 13:33:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.53/1.16 % SZS status Started for theBenchmark.p
% 3.53/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.16
% 3.53/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.53/1.16
% 3.53/1.16 ------ iProver source info
% 3.53/1.16
% 3.53/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.53/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.53/1.16 git: non_committed_changes: false
% 3.53/1.16 git: last_make_outside_of_git: false
% 3.53/1.16
% 3.53/1.16 ------ Parsing...successful
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.53/1.16
% 3.53/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.53/1.16
% 3.53/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.53/1.16 ------ Proving...
% 3.53/1.16 ------ Problem Properties
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16 clauses 17
% 3.53/1.16 conjectures 1
% 3.53/1.16 EPR 4
% 3.53/1.16 Horn 17
% 3.53/1.16 unary 10
% 3.53/1.16 binary 5
% 3.53/1.16 lits 26
% 3.53/1.16 lits eq 9
% 3.53/1.16 fd_pure 0
% 3.53/1.16 fd_pseudo 0
% 3.53/1.16 fd_cond 0
% 3.53/1.16 fd_pseudo_cond 1
% 3.53/1.16 AC symbols 0
% 3.53/1.16
% 3.53/1.16 ------ Schedule dynamic 5 is on
% 3.53/1.16
% 3.53/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16 ------
% 3.53/1.16 Current options:
% 3.53/1.16 ------
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16 ------ Proving...
% 3.53/1.16
% 3.53/1.16
% 3.53/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.16
% 3.53/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.53/1.16
% 3.53/1.16
%------------------------------------------------------------------------------