TSTP Solution File: HEN007-5 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN007-5 : 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 : Fri May 3 02:25:20 EDT 2024
% Result : Unsatisfiable 0.51s 1.18s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( divide(X0,X1) != zero
| divide(X1,X2) != zero
| divide(X0,X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
cnf(c_50,plain,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
cnf(c_51,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_divide2) ).
cnf(c_52,plain,
divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(c_53,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(c_54,plain,
divide(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(c_55,plain,
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(c_98,plain,
divide(c,b) = sP0_iProver_def,
definition ).
cnf(c_99,plain,
divide(c,a) = sP1_iProver_def,
definition ).
cnf(c_100,plain,
divide(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_101,negated_conjecture,
sP2_iProver_def != zero,
inference(demodulation,[status(thm)],[c_51,c_99,c_98,c_100]) ).
cnf(c_102,plain,
X0 = X0,
theory(equality) ).
cnf(c_103,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_153,plain,
divide(sP1_iProver_def,c) = zero,
inference(superposition,[status(thm)],[c_99,c_52]) ).
cnf(c_157,plain,
divide(sP2_iProver_def,sP0_iProver_def) = zero,
inference(superposition,[status(thm)],[c_100,c_52]) ).
cnf(c_162,plain,
divide(divide(sP0_iProver_def,divide(X0,b)),divide(divide(c,X0),b)) = zero,
inference(superposition,[status(thm)],[c_98,c_53]) ).
cnf(c_175,plain,
divide(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)) = zero,
inference(superposition,[status(thm)],[c_54,c_53]) ).
cnf(c_179,plain,
divide(divide(divide(X0,X0),divide(X1,X0)),zero) = zero,
inference(superposition,[status(thm)],[c_52,c_53]) ).
cnf(c_234,plain,
( zero != X0
| sP2_iProver_def != X0
| sP2_iProver_def = zero ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_240,plain,
( zero != sP2_iProver_def
| sP2_iProver_def != sP2_iProver_def
| sP2_iProver_def = zero ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_241,plain,
sP2_iProver_def = sP2_iProver_def,
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_254,plain,
( divide(X0,zero) != zero
| X0 = zero ),
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_349,plain,
divide(divide(divide(sP1_iProver_def,X0),divide(c,X0)),divide(zero,X0)) = zero,
inference(superposition,[status(thm)],[c_153,c_53]) ).
cnf(c_355,plain,
divide(divide(divide(sP1_iProver_def,X0),divide(c,X0)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_349,c_54]) ).
cnf(c_414,plain,
( divide(sP0_iProver_def,X0) != zero
| divide(sP2_iProver_def,X0) = zero ),
inference(superposition,[status(thm)],[c_157,c_49]) ).
cnf(c_470,plain,
( divide(zero,X0) != zero
| divide(divide(divide(X1,X1),divide(X2,X1)),X0) = zero ),
inference(superposition,[status(thm)],[c_179,c_49]) ).
cnf(c_480,plain,
divide(divide(divide(X0,X0),divide(X1,X0)),X2) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_470,c_54]) ).
cnf(c_513,plain,
( divide(zero,X0) != zero
| divide(divide(divide(sP1_iProver_def,X1),divide(c,X1)),X0) = zero ),
inference(superposition,[status(thm)],[c_355,c_49]) ).
cnf(c_521,plain,
divide(divide(divide(sP1_iProver_def,X0),divide(c,X0)),X1) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_513,c_54]) ).
cnf(c_560,plain,
divide(divide(divide(X0,X0),zero),X1) = zero,
inference(superposition,[status(thm)],[c_480,c_480]) ).
cnf(c_725,plain,
divide(divide(X0,X0),zero) = zero,
inference(superposition,[status(thm)],[c_560,c_254]) ).
cnf(c_738,plain,
( divide(zero,X0) != zero
| divide(divide(X1,X1),X0) = zero ),
inference(superposition,[status(thm)],[c_725,c_49]) ).
cnf(c_746,plain,
divide(divide(X0,X0),X1) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_738,c_54]) ).
cnf(c_758,plain,
divide(X0,X0) = zero,
inference(superposition,[status(thm)],[c_746,c_254]) ).
cnf(c_790,plain,
divide(divide(sP0_iProver_def,divide(a,b)),divide(sP1_iProver_def,b)) = zero,
inference(superposition,[status(thm)],[c_99,c_162]) ).
cnf(c_801,plain,
divide(divide(sP0_iProver_def,zero),divide(sP1_iProver_def,b)) = zero,
inference(light_normalisation,[status(thm)],[c_790,c_50]) ).
cnf(c_1297,plain,
divide(divide(divide(sP1_iProver_def,b),sP0_iProver_def),X0) = zero,
inference(superposition,[status(thm)],[c_98,c_521]) ).
cnf(c_1377,plain,
divide(divide(sP1_iProver_def,b),sP0_iProver_def) = zero,
inference(superposition,[status(thm)],[c_1297,c_254]) ).
cnf(c_3096,plain,
( zero != sP2_iProver_def
| divide(sP2_iProver_def,sP1_iProver_def) = zero ),
inference(superposition,[status(thm)],[c_100,c_414]) ).
cnf(c_3102,plain,
zero != sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_3096,c_101,c_240,c_241]) ).
cnf(c_3179,plain,
divide(divide(divide(X0,divide(X0,zero)),zero),zero) = zero,
inference(superposition,[status(thm)],[c_758,c_175]) ).
cnf(c_4433,plain,
( divide(zero,X0) != zero
| divide(divide(divide(X1,divide(X1,zero)),zero),X0) = zero ),
inference(superposition,[status(thm)],[c_3179,c_49]) ).
cnf(c_4447,plain,
divide(divide(divide(X0,divide(X0,zero)),zero),X1) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_4433,c_54]) ).
cnf(c_4693,plain,
divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_4447,c_254]) ).
cnf(c_5004,plain,
( divide(zero,X0) != zero
| divide(divide(X1,divide(X1,zero)),X0) = zero ),
inference(superposition,[status(thm)],[c_4693,c_49]) ).
cnf(c_5018,plain,
divide(divide(X0,divide(X0,zero)),X1) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_5004,c_54]) ).
cnf(c_5088,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_5018,c_254]) ).
cnf(c_5233,plain,
( divide(divide(X0,zero),X0) != zero
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_5088,c_55]) ).
cnf(c_5265,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_5233,c_52]) ).
cnf(c_5276,plain,
divide(sP0_iProver_def,divide(sP1_iProver_def,b)) = zero,
inference(demodulation,[status(thm)],[c_801,c_5265]) ).
cnf(c_5465,plain,
( divide(divide(sP1_iProver_def,b),sP0_iProver_def) != zero
| divide(sP1_iProver_def,b) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_5276,c_55]) ).
cnf(c_5476,plain,
divide(sP1_iProver_def,b) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_5465,c_1377]) ).
cnf(c_5518,plain,
divide(sP0_iProver_def,sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_5476,c_52]) ).
cnf(c_5524,plain,
zero = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_5518,c_100]) ).
cnf(c_5525,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5524,c_3102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : HEN007-5 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n009.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 May 2 18:35:40 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.51/1.18 % SZS status Started for theBenchmark.p
% 0.51/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.18
% 0.51/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.51/1.18
% 0.51/1.18 ------ iProver source info
% 0.51/1.18
% 0.51/1.18 git: date: 2024-05-02 19:28:25 +0000
% 0.51/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.51/1.18 git: non_committed_changes: false
% 0.51/1.18
% 0.51/1.18 ------ Parsing...successful
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.51/1.18
% 0.51/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.51/1.18
% 0.51/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.51/1.18 ------ Proving...
% 0.51/1.18 ------ Problem Properties
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18 clauses 11
% 0.51/1.18 conjectures 1
% 0.51/1.18 EPR 1
% 0.51/1.18 Horn 11
% 0.51/1.18 unary 9
% 0.51/1.18 binary 0
% 0.51/1.18 lits 15
% 0.51/1.18 lits eq 15
% 0.51/1.18 fd_pure 0
% 0.51/1.18 fd_pseudo 0
% 0.51/1.18 fd_cond 0
% 0.51/1.18 fd_pseudo_cond 1
% 0.51/1.18 AC symbols 0
% 0.51/1.18
% 0.51/1.18 ------ Schedule dynamic 5 is on
% 0.51/1.18
% 0.51/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18 ------
% 0.51/1.18 Current options:
% 0.51/1.18 ------
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18 ------ Proving...
% 0.51/1.18
% 0.51/1.18
% 0.51/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.18
% 0.51/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.18
% 0.90/1.19
%------------------------------------------------------------------------------