TSTP Solution File: HEN009-6 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 01:56:01 EDT 2023
% Result : Unsatisfiable 4.15s 1.19s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 52 ( 28 unt; 0 nHn; 31 RR)
% Number of literals : 90 ( 38 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 57 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
divide(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(c_51,plain,
divide(X0,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(c_52,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(c_53,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide3) ).
cnf(c_55,plain,
divide(identity,a) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_a_is_b) ).
cnf(c_56,plain,
divide(identity,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_b_is_c) ).
cnf(c_57,plain,
divide(identity,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id_divide_c_is_d) ).
cnf(c_58,negated_conjecture,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_d) ).
cnf(c_59,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_60,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_61,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_63,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(c_65,plain,
less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).
cnf(c_284,plain,
X0 = X0,
theory(equality) ).
cnf(c_286,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_288,plain,
( X0 != X1
| X2 != X3
| ~ less_equal(X1,X3)
| less_equal(X0,X2) ),
theory(equality) ).
cnf(c_529,plain,
less_equal(X0,X0),
inference(superposition,[status(thm)],[c_51,c_60]) ).
cnf(c_563,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(superposition,[status(thm)],[c_529,c_52]) ).
cnf(c_570,plain,
less_equal(divide(identity,b),a),
inference(superposition,[status(thm)],[c_55,c_563]) ).
cnf(c_571,plain,
less_equal(divide(identity,c),b),
inference(superposition,[status(thm)],[c_56,c_563]) ).
cnf(c_575,plain,
less_equal(d,b),
inference(light_normalisation,[status(thm)],[c_571,c_57]) ).
cnf(c_576,plain,
less_equal(c,a),
inference(light_normalisation,[status(thm)],[c_570,c_56]) ).
cnf(c_580,plain,
divide(c,a) = zero,
inference(superposition,[status(thm)],[c_576,c_59]) ).
cnf(c_604,plain,
( ~ less_equal(b,d)
| ~ less_equal(d,b)
| b = d ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_653,plain,
( b != X0
| d != X1
| ~ less_equal(X0,X1)
| less_equal(b,d) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_680,plain,
( ~ less_equal(X0,zero)
| less_equal(divide(X0,X1),zero) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_684,plain,
( ~ less_equal(X0,identity)
| less_equal(divide(X0,c),d) ),
inference(superposition,[status(thm)],[c_57,c_53]) ).
cnf(c_687,plain,
( ~ less_equal(X0,c)
| less_equal(divide(X0,a),zero) ),
inference(superposition,[status(thm)],[c_580,c_53]) ).
cnf(c_695,plain,
less_equal(divide(X0,c),d),
inference(forward_subsumption_resolution,[status(thm)],[c_684,c_65]) ).
cnf(c_733,plain,
b = b,
inference(instantiation,[status(thm)],[c_284]) ).
cnf(c_734,plain,
( X0 != X1
| b != X1
| b = X0 ),
inference(instantiation,[status(thm)],[c_286]) ).
cnf(c_750,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_63,c_64]) ).
cnf(c_805,plain,
( X0 != b
| b != b
| b = X0 ),
inference(instantiation,[status(thm)],[c_734]) ).
cnf(c_961,plain,
( divide(identity,a) != b
| b != b
| b = divide(identity,a) ),
inference(instantiation,[status(thm)],[c_805]) ).
cnf(c_997,plain,
less_equal(divide(X0,d),c),
inference(superposition,[status(thm)],[c_695,c_52]) ).
cnf(c_1252,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_563,c_750]) ).
cnf(c_1316,plain,
( b != divide(identity,a)
| d != X0
| ~ less_equal(divide(identity,a),X0)
| less_equal(b,d) ),
inference(instantiation,[status(thm)],[c_653]) ).
cnf(c_1907,plain,
( b != divide(identity,a)
| d != d
| ~ less_equal(divide(identity,a),d)
| less_equal(b,d) ),
inference(instantiation,[status(thm)],[c_1316]) ).
cnf(c_1908,plain,
d = d,
inference(instantiation,[status(thm)],[c_284]) ).
cnf(c_1961,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_1252,c_60]) ).
cnf(c_2021,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_1961,c_64]) ).
cnf(c_2025,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_2021,c_61]) ).
cnf(c_2443,plain,
( ~ less_equal(X0,zero)
| less_equal(divide(X0,zero),X1) ),
inference(superposition,[status(thm)],[c_680,c_52]) ).
cnf(c_2447,plain,
( ~ less_equal(X0,zero)
| less_equal(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_2443,c_2025]) ).
cnf(c_2547,plain,
( ~ less_equal(X0,c)
| less_equal(divide(X0,a),X1) ),
inference(superposition,[status(thm)],[c_687,c_2447]) ).
cnf(c_3622,plain,
( ~ less_equal(X0,c)
| less_equal(divide(X0,X1),a) ),
inference(superposition,[status(thm)],[c_2547,c_52]) ).
cnf(c_3880,plain,
( ~ less_equal(X0,c)
| less_equal(X0,a) ),
inference(superposition,[status(thm)],[c_2025,c_3622]) ).
cnf(c_3984,plain,
less_equal(divide(X0,d),a),
inference(superposition,[status(thm)],[c_997,c_3880]) ).
cnf(c_4054,plain,
less_equal(divide(X0,a),d),
inference(superposition,[status(thm)],[c_3984,c_52]) ).
cnf(c_4059,plain,
less_equal(divide(identity,a),d),
inference(instantiation,[status(thm)],[c_4054]) ).
cnf(c_4060,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4059,c_1908,c_1907,c_961,c_733,c_604,c_575,c_55,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.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 : Thu Aug 24 13:27:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.15/1.19 % SZS status Started for theBenchmark.p
% 4.15/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.19
% 4.15/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.15/1.19
% 4.15/1.19 ------ iProver source info
% 4.15/1.19
% 4.15/1.19 git: date: 2023-05-31 18:12:56 +0000
% 4.15/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.15/1.19 git: non_committed_changes: false
% 4.15/1.19 git: last_make_outside_of_git: false
% 4.15/1.19
% 4.15/1.19 ------ Parsing...successful
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.15/1.19
% 4.15/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.15/1.19
% 4.15/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.15/1.19 ------ Proving...
% 4.15/1.19 ------ Problem Properties
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19 clauses 16
% 4.15/1.19 conjectures 1
% 4.15/1.19 EPR 4
% 4.15/1.19 Horn 16
% 4.15/1.19 unary 11
% 4.15/1.19 binary 4
% 4.15/1.19 lits 22
% 4.15/1.19 lits eq 10
% 4.15/1.19 fd_pure 0
% 4.15/1.19 fd_pseudo 0
% 4.15/1.19 fd_cond 0
% 4.15/1.19 fd_pseudo_cond 1
% 4.15/1.19 AC symbols 0
% 4.15/1.19
% 4.15/1.19 ------ Schedule dynamic 5 is on
% 4.15/1.19
% 4.15/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19 ------
% 4.15/1.19 Current options:
% 4.15/1.19 ------
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19 ------ Proving...
% 4.15/1.19
% 4.15/1.19
% 4.15/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.19
% 4.15/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.15/1.20
% 4.15/1.20
%------------------------------------------------------------------------------