TSTP Solution File: HEN007-4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN007-4 : 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 3.25s 1.20s
% Output : CNFRefutation 3.25s
% 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_53,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
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_55,plain,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
cnf(c_56,negated_conjecture,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
cnf(c_57,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(c_58,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(c_59,plain,
less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(c_60,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_61,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(c_62,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_172,plain,
divide(c,b) = sP0_iProver_def,
definition ).
cnf(c_173,plain,
divide(c,a) = sP1_iProver_def,
definition ).
cnf(c_174,negated_conjecture,
~ less_equal(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_56,c_173,c_172]) ).
cnf(c_409,plain,
less_equal(sP1_iProver_def,c),
inference(superposition,[status(thm)],[c_173,c_59]) ).
cnf(c_412,plain,
divide(a,b) = zero,
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_423,plain,
less_equal(X0,X0),
inference(superposition,[status(thm)],[c_51,c_58]) ).
cnf(c_435,plain,
divide(sP1_iProver_def,c) = zero,
inference(superposition,[status(thm)],[c_409,c_57]) ).
cnf(c_506,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(superposition,[status(thm)],[c_423,c_54]) ).
cnf(c_551,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_61,c_62]) ).
cnf(c_590,plain,
less_equal(divide(sP0_iProver_def,divide(X0,b)),divide(divide(c,X0),b)),
inference(superposition,[status(thm)],[c_172,c_60]) ).
cnf(c_618,plain,
less_equal(divide(divide(sP1_iProver_def,X0),divide(c,X0)),divide(zero,X0)),
inference(superposition,[status(thm)],[c_435,c_60]) ).
cnf(c_630,plain,
less_equal(divide(divide(sP1_iProver_def,X0),divide(c,X0)),zero),
inference(light_normalisation,[status(thm)],[c_618,c_50]) ).
cnf(c_958,plain,
divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_506,c_551]) ).
cnf(c_1460,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_958,c_58]) ).
cnf(c_1573,plain,
( ~ less_equal(divide(X0,zero),X0)
| divide(X0,zero) = X0 ),
inference(superposition,[status(thm)],[c_1460,c_62]) ).
cnf(c_1585,plain,
divide(X0,zero) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_1573,c_59]) ).
cnf(c_1825,plain,
( ~ less_equal(zero,X0)
| less_equal(divide(divide(sP1_iProver_def,X1),divide(c,X1)),X0) ),
inference(superposition,[status(thm)],[c_630,c_53]) ).
cnf(c_1832,plain,
less_equal(divide(divide(sP1_iProver_def,X0),divide(c,X0)),X1),
inference(forward_subsumption_resolution,[status(thm)],[c_1825,c_61]) ).
cnf(c_2229,plain,
less_equal(divide(divide(sP1_iProver_def,b),sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_172,c_1832]) ).
cnf(c_2264,plain,
less_equal(divide(divide(sP1_iProver_def,b),X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_2229,c_54]) ).
cnf(c_2285,plain,
less_equal(divide(sP0_iProver_def,divide(a,b)),divide(sP1_iProver_def,b)),
inference(superposition,[status(thm)],[c_173,c_590]) ).
cnf(c_2292,plain,
less_equal(divide(sP0_iProver_def,zero),divide(sP1_iProver_def,b)),
inference(light_normalisation,[status(thm)],[c_2285,c_412]) ).
cnf(c_2342,plain,
less_equal(divide(sP1_iProver_def,b),sP0_iProver_def),
inference(superposition,[status(thm)],[c_1585,c_2264]) ).
cnf(c_2363,plain,
less_equal(sP0_iProver_def,divide(sP1_iProver_def,b)),
inference(demodulation,[status(thm)],[c_2292,c_1585]) ).
cnf(c_2428,plain,
( ~ less_equal(sP0_iProver_def,divide(sP1_iProver_def,b))
| divide(sP1_iProver_def,b) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_2342,c_62]) ).
cnf(c_2434,plain,
divide(sP1_iProver_def,b) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_2428,c_2363]) ).
cnf(c_2455,plain,
less_equal(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2434,c_59]) ).
cnf(c_2464,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2455,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n016.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 19:15:44 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 3.25/1.20 % SZS status Started for theBenchmark.p
% 3.25/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/1.20
% 3.25/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.25/1.20
% 3.25/1.20 ------ iProver source info
% 3.25/1.20
% 3.25/1.20 git: date: 2024-05-02 19:28:25 +0000
% 3.25/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.25/1.20 git: non_committed_changes: false
% 3.25/1.20
% 3.25/1.20 ------ Parsing...successful
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.25/1.20
% 3.25/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.25/1.20
% 3.25/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.25/1.20 ------ Proving...
% 3.25/1.20 ------ Problem Properties
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20 clauses 17
% 3.25/1.20 conjectures 1
% 3.25/1.20 EPR 6
% 3.25/1.20 Horn 17
% 3.25/1.20 unary 12
% 3.25/1.20 binary 3
% 3.25/1.20 lits 24
% 3.25/1.20 lits eq 9
% 3.25/1.20 fd_pure 0
% 3.25/1.20 fd_pseudo 0
% 3.25/1.20 fd_cond 0
% 3.25/1.20 fd_pseudo_cond 1
% 3.25/1.20 AC symbols 0
% 3.25/1.20
% 3.25/1.20 ------ Schedule dynamic 5 is on
% 3.25/1.20
% 3.25/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20 ------
% 3.25/1.20 Current options:
% 3.25/1.20 ------
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20 ------ Proving...
% 3.25/1.20
% 3.25/1.20
% 3.25/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.25/1.20
% 3.25/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.25/1.20
% 3.25/1.20
%------------------------------------------------------------------------------