TSTP Solution File: HEN011-4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:25:24 EDT 2024
% Result : Unsatisfiable 31.66s 5.25s
% Output : CNFRefutation 31.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
divide(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
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_56,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
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_59,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_60,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_61,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_62,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_63,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_64,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_65,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_207,plain,
divide(identity,a) = sP0_iProver_def,
definition ).
cnf(c_208,plain,
divide(identity,b) = sP1_iProver_def,
definition ).
cnf(c_209,plain,
divide(identity,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_210,plain,
divide(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_211,plain,
divide(identity,sP0_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_212,plain,
divide(sP1_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_213,negated_conjecture,
sP3_iProver_def != sP5_iProver_def,
inference(demodulation,[status(thm)],[c_59,c_211,c_212,c_208,c_209,c_207,c_210]) ).
cnf(c_214,plain,
X0 = X0,
theory(equality) ).
cnf(c_216,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_218,plain,
( X0 != X1
| X2 != X3
| ~ less_equal(X1,X3)
| less_equal(X0,X2) ),
theory(equality) ).
cnf(c_677,plain,
( sP3_iProver_def != X0
| sP5_iProver_def != X0
| sP3_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_687,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_214]) ).
cnf(c_688,plain,
( X0 != X1
| sP3_iProver_def != X1
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_806,plain,
( ~ less_equal(divide(X0,sP5_iProver_def),X1)
| less_equal(divide(X0,X1),sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_818,plain,
( ~ less_equal(divide(X0,sP3_iProver_def),X1)
| less_equal(divide(X0,X1),sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_932,plain,
( X0 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_688]) ).
cnf(c_1175,plain,
( divide(sP0_iProver_def,sP2_iProver_def) != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = divide(sP0_iProver_def,sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_932]) ).
cnf(c_1288,plain,
( divide(divide(X0,sP5_iProver_def),X1) != zero
| less_equal(divide(X0,sP5_iProver_def),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_1460,plain,
( divide(divide(X0,sP3_iProver_def),X1) != zero
| less_equal(divide(X0,sP3_iProver_def),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_1482,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_214]) ).
cnf(c_1483,plain,
( X0 != X1
| sP5_iProver_def != X1
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_1647,plain,
( sP3_iProver_def != divide(sP0_iProver_def,sP2_iProver_def)
| sP5_iProver_def != divide(sP0_iProver_def,sP2_iProver_def)
| sP3_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_677]) ).
cnf(c_2869,plain,
( X0 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1483]) ).
cnf(c_3345,plain,
( ~ less_equal(divide(sP0_iProver_def,sP2_iProver_def),X0)
| ~ less_equal(X0,divide(sP0_iProver_def,sP2_iProver_def))
| X0 = divide(sP0_iProver_def,sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_3506,plain,
( divide(X0,X1) != X2
| X3 != X4
| ~ less_equal(X4,X2)
| less_equal(X3,divide(X0,X1)) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_4801,plain,
( divide(sP1_iProver_def,sP4_iProver_def) != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = divide(sP1_iProver_def,sP4_iProver_def) ),
inference(instantiation,[status(thm)],[c_2869]) ).
cnf(c_8087,plain,
( ~ less_equal(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def)
| less_equal(divide(sP0_iProver_def,sP2_iProver_def),sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_806]) ).
cnf(c_8670,plain,
( ~ less_equal(divide(sP0_iProver_def,sP2_iProver_def),sP5_iProver_def)
| ~ less_equal(sP5_iProver_def,divide(sP0_iProver_def,sP2_iProver_def))
| sP5_iProver_def = divide(sP0_iProver_def,sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_3345]) ).
cnf(c_12864,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_62,c_60]) ).
cnf(c_12893,plain,
less_equal(X0,X0),
inference(superposition,[status(thm)],[c_51,c_61]) ).
cnf(c_12957,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(superposition,[status(thm)],[c_12893,c_54]) ).
cnf(c_13095,plain,
( ~ less_equal(X0,divide(X1,X2))
| less_equal(divide(X0,X1),zero) ),
inference(superposition,[status(thm)],[c_12864,c_56]) ).
cnf(c_13100,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,divide(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_13262,plain,
divide(identity,divide(identity,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_207,c_57]) ).
cnf(c_13263,plain,
divide(identity,divide(identity,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_208,c_57]) ).
cnf(c_13276,plain,
divide(identity,sP2_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_13263,c_209]) ).
cnf(c_13277,plain,
divide(identity,sP4_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_13262,c_211]) ).
cnf(c_13298,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_64,c_65]) ).
cnf(c_13371,plain,
less_equal(divide(divide(X0,sP2_iProver_def),sP3_iProver_def),divide(divide(X0,sP0_iProver_def),sP2_iProver_def)),
inference(superposition,[status(thm)],[c_210,c_63]) ).
cnf(c_13373,plain,
less_equal(divide(divide(X0,sP4_iProver_def),sP5_iProver_def),divide(divide(X0,sP1_iProver_def),sP4_iProver_def)),
inference(superposition,[status(thm)],[c_212,c_63]) ).
cnf(c_16577,plain,
( divide(sP0_iProver_def,sP2_iProver_def) != sP3_iProver_def
| X0 != X1
| ~ less_equal(X1,sP3_iProver_def)
| less_equal(X0,divide(sP0_iProver_def,sP2_iProver_def)) ),
inference(instantiation,[status(thm)],[c_3506]) ).
cnf(c_28366,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_12957,c_13298]) ).
cnf(c_28615,plain,
( divide(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def) != zero
| less_equal(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_1288]) ).
cnf(c_30387,plain,
( ~ less_equal(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def)
| less_equal(divide(sP1_iProver_def,sP4_iProver_def),sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_818]) ).
cnf(c_50585,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_28366,c_61]) ).
cnf(c_51559,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_50585,c_65]) ).
cnf(c_51575,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_51559,c_62]) ).
cnf(c_55872,plain,
( divide(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def) != zero
| less_equal(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def) ),
inference(instantiation,[status(thm)],[c_1460]) ).
cnf(c_60716,plain,
( divide(sP0_iProver_def,sP2_iProver_def) != sP3_iProver_def
| X0 != divide(X1,X2)
| ~ less_equal(divide(X1,X2),sP3_iProver_def)
| less_equal(X0,divide(sP0_iProver_def,sP2_iProver_def)) ),
inference(instantiation,[status(thm)],[c_16577]) ).
cnf(c_77713,plain,
( ~ less_equal(X0,zero)
| less_equal(divide(X0,zero),X1) ),
inference(superposition,[status(thm)],[c_50,c_13100]) ).
cnf(c_77787,plain,
( ~ less_equal(X0,zero)
| less_equal(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_77713,c_51575]) ).
cnf(c_79366,plain,
( divide(sP0_iProver_def,sP2_iProver_def) != sP3_iProver_def
| sP5_iProver_def != divide(sP1_iProver_def,sP4_iProver_def)
| ~ less_equal(divide(sP1_iProver_def,sP4_iProver_def),sP3_iProver_def)
| less_equal(sP5_iProver_def,divide(sP0_iProver_def,sP2_iProver_def)) ),
inference(instantiation,[status(thm)],[c_60716]) ).
cnf(c_129466,plain,
less_equal(divide(divide(identity,sP2_iProver_def),sP3_iProver_def),divide(sP4_iProver_def,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_211,c_13371]) ).
cnf(c_129485,plain,
less_equal(divide(sP1_iProver_def,sP3_iProver_def),divide(sP4_iProver_def,sP2_iProver_def)),
inference(light_normalisation,[status(thm)],[c_129466,c_13276]) ).
cnf(c_130449,plain,
less_equal(divide(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def),zero),
inference(superposition,[status(thm)],[c_129485,c_13095]) ).
cnf(c_130494,plain,
less_equal(divide(divide(identity,sP4_iProver_def),sP5_iProver_def),divide(sP2_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_209,c_13373]) ).
cnf(c_130513,plain,
less_equal(divide(sP0_iProver_def,sP5_iProver_def),divide(sP2_iProver_def,sP4_iProver_def)),
inference(light_normalisation,[status(thm)],[c_130494,c_13277]) ).
cnf(c_135910,plain,
less_equal(divide(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def),zero),
inference(superposition,[status(thm)],[c_130513,c_13095]) ).
cnf(c_140938,plain,
less_equal(divide(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def),X0),
inference(superposition,[status(thm)],[c_130449,c_77787]) ).
cnf(c_147214,plain,
less_equal(divide(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def),X0),
inference(superposition,[status(thm)],[c_135910,c_77787]) ).
cnf(c_150552,plain,
divide(divide(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def) = zero,
inference(superposition,[status(thm)],[c_140938,c_13298]) ).
cnf(c_175142,plain,
divide(divide(sP0_iProver_def,sP5_iProver_def),sP2_iProver_def) = zero,
inference(superposition,[status(thm)],[c_147214,c_13298]) ).
cnf(c_175162,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_175142,c_150552,c_79366,c_55872,c_30387,c_28615,c_8670,c_8087,c_4801,c_1647,c_1482,c_1175,c_687,c_213,c_212,c_210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : HEN011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 18:58:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 31.66/5.25 % SZS status Started for theBenchmark.p
% 31.66/5.25 % SZS status Unsatisfiable for theBenchmark.p
% 31.66/5.25
% 31.66/5.25 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.66/5.25
% 31.66/5.25 ------ iProver source info
% 31.66/5.25
% 31.66/5.25 git: date: 2024-05-02 19:28:25 +0000
% 31.66/5.25 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 31.66/5.25 git: non_committed_changes: false
% 31.66/5.25
% 31.66/5.25 ------ Parsing...successful
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 31.66/5.25
% 31.66/5.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.66/5.25
% 31.66/5.25 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.66/5.25 ------ Proving...
% 31.66/5.25 ------ Problem Properties
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25 clauses 24
% 31.66/5.25 conjectures 1
% 31.66/5.25 EPR 5
% 31.66/5.25 Horn 24
% 31.66/5.25 unary 17
% 31.66/5.25 binary 5
% 31.66/5.25 lits 33
% 31.66/5.25 lits eq 16
% 31.66/5.25 fd_pure 0
% 31.66/5.25 fd_pseudo 0
% 31.66/5.25 fd_cond 0
% 31.66/5.25 fd_pseudo_cond 1
% 31.66/5.25 AC symbols 0
% 31.66/5.25
% 31.66/5.25 ------ Schedule dynamic 5 is on
% 31.66/5.25
% 31.66/5.25 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25 ------
% 31.66/5.25 Current options:
% 31.66/5.25 ------
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25 ------ Proving...
% 31.66/5.25
% 31.66/5.25
% 31.66/5.25 % SZS status Unsatisfiable for theBenchmark.p
% 31.66/5.25
% 31.66/5.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.66/5.26
% 31.66/5.26
%------------------------------------------------------------------------------