TSTP Solution File: HEN006-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:25:19 EDT 2024
% Result : Unsatisfiable 3.74s 1.16s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_LE_d) ).
cnf(c_50,negated_conjecture,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
cnf(c_51,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_52,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_53,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_54,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(c_55,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_56,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_125,plain,
divide(a,d) = sP0_iProver_def,
definition ).
cnf(c_126,negated_conjecture,
~ less_equal(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_50,c_125]) ).
cnf(c_295,plain,
divide(divide(a,b),d) = zero,
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_296,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_53,c_51]) ).
cnf(c_297,plain,
divide(zero,X0) = zero,
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_320,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_338,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference(superposition,[status(thm)],[c_295,c_54]) ).
cnf(c_343,plain,
less_equal(divide(sP0_iProver_def,divide(b,d)),zero),
inference(light_normalisation,[status(thm)],[c_338,c_125]) ).
cnf(c_355,plain,
( divide(sP0_iProver_def,b) != zero
| less_equal(sP0_iProver_def,b) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_400,plain,
( ~ less_equal(zero,divide(sP0_iProver_def,divide(b,d)))
| divide(sP0_iProver_def,divide(b,d)) = zero ),
inference(superposition,[status(thm)],[c_343,c_56]) ).
cnf(c_402,plain,
divide(sP0_iProver_def,divide(b,d)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_400,c_55]) ).
cnf(c_457,plain,
less_equal(divide(divide(sP0_iProver_def,X0),divide(divide(b,d),X0)),divide(zero,X0)),
inference(superposition,[status(thm)],[c_402,c_54]) ).
cnf(c_459,plain,
less_equal(divide(divide(sP0_iProver_def,X0),divide(divide(b,d),X0)),zero),
inference(light_normalisation,[status(thm)],[c_457,c_297]) ).
cnf(c_1039,plain,
less_equal(divide(divide(sP0_iProver_def,b),zero),zero),
inference(superposition,[status(thm)],[c_296,c_459]) ).
cnf(c_1055,plain,
divide(divide(sP0_iProver_def,b),zero) = zero,
inference(superposition,[status(thm)],[c_1039,c_320]) ).
cnf(c_1060,plain,
less_equal(divide(sP0_iProver_def,b),zero),
inference(superposition,[status(thm)],[c_1055,c_52]) ).
cnf(c_1074,plain,
divide(sP0_iProver_def,b) = zero,
inference(superposition,[status(thm)],[c_1060,c_320]) ).
cnf(c_1077,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1074,c_355,c_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HEN006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.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 19:14:31 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.74/1.16 % SZS status Started for theBenchmark.p
% 3.74/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.16
% 3.74/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.74/1.16
% 3.74/1.16 ------ iProver source info
% 3.74/1.16
% 3.74/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.74/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.74/1.16 git: non_committed_changes: false
% 3.74/1.16
% 3.74/1.16 ------ Parsing...successful
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.74/1.16
% 3.74/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.74/1.16 ------ Proving...
% 3.74/1.16 ------ Problem Properties
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 clauses 10
% 3.74/1.16 conjectures 1
% 3.74/1.16 EPR 4
% 3.74/1.16 Horn 10
% 3.74/1.16 unary 7
% 3.74/1.16 binary 2
% 3.74/1.16 lits 14
% 3.74/1.16 lits eq 4
% 3.74/1.16 fd_pure 0
% 3.74/1.16 fd_pseudo 0
% 3.74/1.16 fd_cond 0
% 3.74/1.16 fd_pseudo_cond 1
% 3.74/1.16 AC symbols 0
% 3.74/1.16
% 3.74/1.16 ------ Schedule dynamic 5 is on
% 3.74/1.16
% 3.74/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------
% 3.74/1.16 Current options:
% 3.74/1.16 ------
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 ------ Proving...
% 3.74/1.16
% 3.74/1.16
% 3.74/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.16
% 3.74/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.16
% 3.74/1.16
%------------------------------------------------------------------------------