TSTP Solution File: HEN010-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:25:23 EDT 2024
% Result : Unsatisfiable 3.99s 1.15s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,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_50,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_51,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_52,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_53,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_54,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_55,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_56,plain,
less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',identity_is_largest) ).
cnf(c_121,plain,
divide(identity,a) = sP0_iProver_def,
definition ).
cnf(c_122,plain,
divide(identity,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_123,plain,
divide(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_124,negated_conjecture,
sP2_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_122,c_121,c_123]) ).
cnf(c_298,plain,
less_equal(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_123,c_52]) ).
cnf(c_301,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_302,plain,
divide(zero,X0) = zero,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_303,plain,
divide(X0,identity) = zero,
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_328,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_330,plain,
( ~ less_equal(sP0_iProver_def,sP2_iProver_def)
| sP0_iProver_def = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_298,c_55]) ).
cnf(c_341,plain,
less_equal(divide(sP0_iProver_def,divide(X0,a)),divide(divide(identity,X0),a)),
inference(superposition,[status(thm)],[c_121,c_53]) ).
cnf(c_343,plain,
less_equal(divide(sP2_iProver_def,divide(X0,sP1_iProver_def)),divide(divide(sP0_iProver_def,X0),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_123,c_53]) ).
cnf(c_344,plain,
less_equal(divide(divide(X0,a),sP0_iProver_def),divide(divide(X0,identity),a)),
inference(superposition,[status(thm)],[c_121,c_53]) ).
cnf(c_345,plain,
less_equal(divide(divide(X0,sP0_iProver_def),sP1_iProver_def),divide(divide(X0,identity),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_122,c_53]) ).
cnf(c_352,plain,
less_equal(divide(divide(X0,sP0_iProver_def),sP1_iProver_def),divide(zero,sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_345,c_303]) ).
cnf(c_353,plain,
less_equal(divide(divide(X0,a),sP0_iProver_def),divide(zero,a)),
inference(light_normalisation,[status(thm)],[c_344,c_303]) ).
cnf(c_367,plain,
( ~ less_equal(sP0_iProver_def,sP2_iProver_def)
| ~ less_equal(sP2_iProver_def,sP0_iProver_def)
| sP2_iProver_def = sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_381,plain,
less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[status(thm)],[c_302,c_53]) ).
cnf(c_435,plain,
less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[status(thm)],[c_301,c_53]) ).
cnf(c_467,plain,
~ less_equal(sP0_iProver_def,sP2_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_330,c_124,c_298,c_367]) ).
cnf(c_470,plain,
less_equal(divide(divide(X0,sP0_iProver_def),sP1_iProver_def),zero),
inference(demodulation,[status(thm)],[c_352,c_302]) ).
cnf(c_478,plain,
divide(divide(X0,sP0_iProver_def),sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_470,c_328]) ).
cnf(c_677,plain,
less_equal(divide(divide(X0,a),sP0_iProver_def),zero),
inference(demodulation,[status(thm)],[c_353,c_302]) ).
cnf(c_684,plain,
divide(divide(X0,a),sP0_iProver_def) = zero,
inference(superposition,[status(thm)],[c_677,c_328]) ).
cnf(c_740,plain,
less_equal(divide(X0,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_478,c_51]) ).
cnf(c_747,plain,
less_equal(divide(divide(X0,sP1_iProver_def),divide(sP0_iProver_def,sP1_iProver_def)),zero),
inference(superposition,[status(thm)],[c_478,c_53]) ).
cnf(c_748,plain,
less_equal(divide(divide(X0,sP1_iProver_def),sP2_iProver_def),zero),
inference(light_normalisation,[status(thm)],[c_747,c_123]) ).
cnf(c_794,plain,
divide(divide(X0,sP1_iProver_def),sP2_iProver_def) = zero,
inference(superposition,[status(thm)],[c_748,c_328]) ).
cnf(c_838,plain,
less_equal(divide(X0,a),sP0_iProver_def),
inference(superposition,[status(thm)],[c_684,c_51]) ).
cnf(c_845,plain,
less_equal(divide(divide(X0,sP0_iProver_def),divide(a,sP0_iProver_def)),zero),
inference(superposition,[status(thm)],[c_684,c_53]) ).
cnf(c_916,plain,
less_equal(divide(X0,sP1_iProver_def),sP2_iProver_def),
inference(superposition,[status(thm)],[c_794,c_51]) ).
cnf(c_980,plain,
less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[status(thm)],[c_301,c_435]) ).
cnf(c_1012,plain,
divide(divide(X0,X0),zero) = zero,
inference(superposition,[status(thm)],[c_980,c_328]) ).
cnf(c_1023,plain,
less_equal(divide(X0,X0),zero),
inference(superposition,[status(thm)],[c_1012,c_51]) ).
cnf(c_1065,plain,
divide(X0,X0) = zero,
inference(superposition,[status(thm)],[c_1023,c_328]) ).
cnf(c_1171,plain,
less_equal(divide(sP1_iProver_def,divide(a,sP0_iProver_def)),zero),
inference(superposition,[status(thm)],[c_122,c_845]) ).
cnf(c_1184,plain,
divide(sP1_iProver_def,divide(a,sP0_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_1171,c_328]) ).
cnf(c_1200,plain,
less_equal(sP1_iProver_def,divide(a,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_1184,c_51]) ).
cnf(c_1231,plain,
( ~ less_equal(divide(a,sP0_iProver_def),sP1_iProver_def)
| divide(a,sP0_iProver_def) = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_1200,c_55]) ).
cnf(c_1233,plain,
divide(a,sP0_iProver_def) = sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_1231,c_740]) ).
cnf(c_1246,plain,
divide(sP1_iProver_def,a) = zero,
inference(superposition,[status(thm)],[c_1233,c_301]) ).
cnf(c_1498,plain,
less_equal(divide(sP0_iProver_def,zero),divide(divide(identity,sP1_iProver_def),a)),
inference(superposition,[status(thm)],[c_1246,c_341]) ).
cnf(c_1889,plain,
less_equal(divide(sP2_iProver_def,divide(identity,sP1_iProver_def)),divide(zero,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_303,c_343]) ).
cnf(c_1915,plain,
less_equal(divide(sP2_iProver_def,divide(identity,sP1_iProver_def)),zero),
inference(demodulation,[status(thm)],[c_1889,c_302]) ).
cnf(c_1918,plain,
divide(sP2_iProver_def,divide(identity,sP1_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_1915,c_328]) ).
cnf(c_1923,plain,
less_equal(sP2_iProver_def,divide(identity,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_1918,c_51]) ).
cnf(c_1964,plain,
( ~ less_equal(divide(identity,sP1_iProver_def),sP2_iProver_def)
| divide(identity,sP1_iProver_def) = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_1923,c_55]) ).
cnf(c_1966,plain,
divide(identity,sP1_iProver_def) = sP2_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_1964,c_916]) ).
cnf(c_1969,plain,
less_equal(divide(sP0_iProver_def,zero),divide(sP2_iProver_def,a)),
inference(demodulation,[status(thm)],[c_1498,c_1966]) ).
cnf(c_2347,plain,
less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[status(thm)],[c_1065,c_381]) ).
cnf(c_2863,plain,
divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_2347,c_328]) ).
cnf(c_3905,plain,
less_equal(divide(X0,divide(X0,zero)),zero),
inference(superposition,[status(thm)],[c_2863,c_51]) ).
cnf(c_4010,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_3905,c_328]) ).
cnf(c_4022,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_4010,c_51]) ).
cnf(c_4777,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_4022,c_55]) ).
cnf(c_4781,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_4777,c_52]) ).
cnf(c_4795,plain,
less_equal(sP0_iProver_def,divide(sP2_iProver_def,a)),
inference(demodulation,[status(thm)],[c_1969,c_4781]) ).
cnf(c_4818,plain,
( ~ less_equal(divide(sP2_iProver_def,a),sP0_iProver_def)
| divide(sP2_iProver_def,a) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_4795,c_55]) ).
cnf(c_4820,plain,
divide(sP2_iProver_def,a) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_4818,c_838]) ).
cnf(c_4980,plain,
less_equal(sP0_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_4820,c_52]) ).
cnf(c_4992,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4980,c_467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.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 18:27:04 EDT 2024
% 0.13/0.34 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.99/1.15 % SZS status Started for theBenchmark.p
% 3.99/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.15
% 3.99/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.99/1.15
% 3.99/1.15 ------ iProver source info
% 3.99/1.15
% 3.99/1.15 git: date: 2024-05-02 19:28:25 +0000
% 3.99/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.99/1.15 git: non_committed_changes: false
% 3.99/1.15
% 3.99/1.15 ------ Parsing...successful
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.99/1.15
% 3.99/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.99/1.15
% 3.99/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.99/1.15 ------ Proving...
% 3.99/1.15 ------ Problem Properties
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 clauses 11
% 3.99/1.15 conjectures 1
% 3.99/1.15 EPR 4
% 3.99/1.15 Horn 11
% 3.99/1.15 unary 8
% 3.99/1.15 binary 2
% 3.99/1.15 lits 15
% 3.99/1.15 lits eq 7
% 3.99/1.15 fd_pure 0
% 3.99/1.15 fd_pseudo 0
% 3.99/1.15 fd_cond 0
% 3.99/1.15 fd_pseudo_cond 1
% 3.99/1.15 AC symbols 0
% 3.99/1.15
% 3.99/1.15 ------ Schedule dynamic 5 is on
% 3.99/1.15
% 3.99/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 ------
% 3.99/1.15 Current options:
% 3.99/1.15 ------
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 ------ Proving...
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.15
% 3.99/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.15
% 3.99/1.15
%------------------------------------------------------------------------------