TSTP Solution File: HEN007-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 3.96s 1.19s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of clauses : 60 ( 41 unt; 0 nHn; 38 RR)
% Number of literals : 88 ( 34 equ; 30 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 77 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
less_equal(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy) ).
cnf(c_50,plain,
quotient(z,y,zQy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQy) ).
cnf(c_51,plain,
quotient(z,x,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQx) ).
cnf(c_52,negated_conjecture,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
cnf(c_53,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(c_54,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c_55,plain,
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(c_56,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ quotient(X1,X3,X5)
| ~ quotient(X2,X3,X6)
| ~ quotient(X4,X5,X7)
| less_equal(X7,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(c_57,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(c_58,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(c_68,plain,
divide(z,y) = zQy,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_69,plain,
divide(z,x) = zQx,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_70,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_71,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_72,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_74,plain,
( divide(X0,X1) != X2
| divide(X0,X3) != X4
| divide(X1,X3) != X5
| divide(X2,X3) != X6
| divide(X4,X5) != X7
| less_equal(X7,X6) ),
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_84,plain,
( less_equal(X2,X0)
| divide(X0,X1) != X2 ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
cnf(c_85,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(renaming,[status(thm)],[c_84]) ).
cnf(c_164,plain,
less_equal(divide(X0,X1),X0),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_178,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unflattening,[status(thm)],[c_74]) ).
cnf(c_186,plain,
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
cnf(c_187,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(renaming,[status(thm)],[c_186]) ).
cnf(c_188,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(prop_impl_just,[status(thm)],[c_70]) ).
cnf(c_253,negated_conjecture,
~ less_equal(zQy,zQx),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_425,plain,
less_equal(zQx,z),
inference(superposition,[status(thm)],[c_69,c_164]) ).
cnf(c_426,plain,
less_equal(divide(zQy,divide(X0,y)),divide(divide(z,X0),y)),
inference(superposition,[status(thm)],[c_68,c_178]) ).
cnf(c_440,plain,
divide(x,y) = zero,
inference(superposition,[status(thm)],[c_49,c_188]) ).
cnf(c_441,plain,
divide(zero,X0) = zero,
inference(superposition,[status(thm)],[c_57,c_188]) ).
cnf(c_443,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_164,c_188]) ).
cnf(c_457,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_459,plain,
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(superposition,[status(thm)],[c_164,c_58]) ).
cnf(c_498,plain,
less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[status(thm)],[c_441,c_178]) ).
cnf(c_505,plain,
divide(zQx,z) = zero,
inference(superposition,[status(thm)],[c_425,c_188]) ).
cnf(c_543,plain,
less_equal(divide(divide(zQx,X0),divide(z,X0)),divide(zero,X0)),
inference(superposition,[status(thm)],[c_505,c_178]) ).
cnf(c_544,plain,
less_equal(divide(divide(zQx,X0),divide(z,X0)),zero),
inference(light_normalisation,[status(thm)],[c_543,c_441]) ).
cnf(c_562,plain,
less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[status(thm)],[c_443,c_178]) ).
cnf(c_615,plain,
less_equal(divide(zQy,divide(x,y)),divide(zQx,y)),
inference(superposition,[status(thm)],[c_69,c_426]) ).
cnf(c_619,plain,
less_equal(divide(zQy,zero),divide(zQx,y)),
inference(light_normalisation,[status(thm)],[c_615,c_440]) ).
cnf(c_1103,plain,
less_equal(divide(divide(zQx,y),zQy),zero),
inference(superposition,[status(thm)],[c_68,c_544]) ).
cnf(c_1120,plain,
divide(divide(zQx,y),zQy) = zero,
inference(superposition,[status(thm)],[c_1103,c_457]) ).
cnf(c_1126,plain,
less_equal(divide(zQx,y),zQy),
inference(superposition,[status(thm)],[c_1120,c_187]) ).
cnf(c_1167,plain,
( ~ less_equal(zQy,divide(zQx,y))
| divide(zQx,y) = zQy ),
inference(superposition,[status(thm)],[c_1126,c_58]) ).
cnf(c_1178,plain,
less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[status(thm)],[c_443,c_562]) ).
cnf(c_1215,plain,
divide(divide(X0,X0),zero) = zero,
inference(superposition,[status(thm)],[c_1178,c_457]) ).
cnf(c_1366,plain,
( ~ less_equal(divide(X0,X0),zero)
| divide(divide(X0,X0),zero) = divide(X0,X0) ),
inference(superposition,[status(thm)],[c_1215,c_459]) ).
cnf(c_1367,plain,
less_equal(divide(X0,X0),zero),
inference(superposition,[status(thm)],[c_1215,c_187]) ).
cnf(c_1377,plain,
divide(divide(X0,X0),zero) = divide(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_1366,c_1367]) ).
cnf(c_1378,plain,
divide(X0,X0) = zero,
inference(light_normalisation,[status(thm)],[c_1377,c_1215]) ).
cnf(c_2341,plain,
less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[status(thm)],[c_1378,c_498]) ).
cnf(c_2692,plain,
divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_2341,c_457]) ).
cnf(c_3406,plain,
( ~ less_equal(divide(X0,divide(X0,zero)),zero)
| divide(divide(X0,divide(X0,zero)),zero) = divide(X0,divide(X0,zero)) ),
inference(superposition,[status(thm)],[c_2692,c_459]) ).
cnf(c_3407,plain,
less_equal(divide(X0,divide(X0,zero)),zero),
inference(superposition,[status(thm)],[c_2692,c_187]) ).
cnf(c_3420,plain,
divide(divide(X0,divide(X0,zero)),zero) = divide(X0,divide(X0,zero)),
inference(forward_subsumption_resolution,[status(thm)],[c_3406,c_3407]) ).
cnf(c_3421,plain,
divide(X0,divide(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_3420,c_2692]) ).
cnf(c_3459,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_3421,c_187]) ).
cnf(c_3588,plain,
divide(X0,zero) = X0,
inference(superposition,[status(thm)],[c_3459,c_459]) ).
cnf(c_3610,plain,
less_equal(zQy,divide(zQx,y)),
inference(demodulation,[status(thm)],[c_619,c_3588]) ).
cnf(c_3617,plain,
divide(zQx,y) = zQy,
inference(backward_subsumption_resolution,[status(thm)],[c_1167,c_3610]) ).
cnf(c_3848,plain,
less_equal(zQy,zQx),
inference(superposition,[status(thm)],[c_3617,c_164]) ).
cnf(c_3863,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3848,c_253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : HEN007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 19:14:45 EDT 2024
% 0.13/0.35 % 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
% 3.96/1.19 % SZS status Started for theBenchmark.p
% 3.96/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.96/1.19
% 3.96/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.96/1.19
% 3.96/1.19 ------ iProver source info
% 3.96/1.19
% 3.96/1.19 git: date: 2024-05-02 19:28:25 +0000
% 3.96/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.96/1.19 git: non_committed_changes: false
% 3.96/1.19
% 3.96/1.19 ------ Parsing...successful
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 ------ Preprocessing... sup_sim: 4 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
% 3.96/1.19
% 3.96/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.96/1.19
% 3.96/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.96/1.19 ------ Proving...
% 3.96/1.19 ------ Problem Properties
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 clauses 11
% 3.96/1.19 conjectures 1
% 3.96/1.19 EPR 5
% 3.96/1.19 Horn 11
% 3.96/1.19 unary 8
% 3.96/1.19 binary 2
% 3.96/1.19 lits 15
% 3.96/1.19 lits eq 5
% 3.96/1.19 fd_pure 0
% 3.96/1.19 fd_pseudo 0
% 3.96/1.19 fd_cond 0
% 3.96/1.19 fd_pseudo_cond 1
% 3.96/1.19 AC symbols 0
% 3.96/1.19
% 3.96/1.19 ------ Schedule dynamic 5 is on
% 3.96/1.19
% 3.96/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 ------
% 3.96/1.19 Current options:
% 3.96/1.19 ------
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 ------ Proving...
% 3.96/1.19
% 3.96/1.19
% 3.96/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.96/1.19
% 3.96/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.96/1.19
% 3.96/1.19
%------------------------------------------------------------------------------