TSTP Solution File: ALG378-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG378-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:04:38 EDT 2024
% Result : Unsatisfiable 50.79s 7.67s
% Output : CNFRefutation 50.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 46 ( 17 unt; 9 nHn; 30 RR)
% Number of literals : 90 ( 11 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_111,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
| ~ c_lessequals(X1,X3,X2)
| ~ class_Orderings_Opreorder(X2)
| c_HOL_Oord__class_Oless(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).
cnf(c_127,plain,
( ~ class_Orderings_Olinorder(X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).
cnf(c_130,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
| ~ c_lessequals(X1,X0,X2)
| ~ class_Orderings_Olinorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(c_154,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
| c_HOL_Oord__class_Oless(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__right_0) ).
cnf(c_473,plain,
( ~ class_RealVector_Ometric__space(X0)
| c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X3,X1,X0),c_RealVector_Odist__class_Odist(X3,X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dist__triangle3_0) ).
cnf(c_487,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_RealVector_Odist__class_Odist(X0,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dist__real__def_0) ).
cnf(c_517,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(c_561,negated_conjecture,
c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(v_a,v_b,tc_RealDef_Oreal),tc_RealDef_Oreal),v_c,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_562,negated_conjecture,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(v_b,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),v_c,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_564,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
cnf(c_585,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
cnf(c_602,plain,
class_RealVector_Ometric__space(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Ometric__space) ).
cnf(c_610,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(c_611,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
cnf(c_975,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_517]) ).
cnf(c_1143,plain,
( ~ class_RealVector_Ometric__space(X0)
| c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X3,X1,X0),c_RealVector_Odist__class_Odist(X3,X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_473]) ).
cnf(c_5064,plain,
c_lessequals(c_RealVector_Odist__class_Odist(v_a,v_b,tc_RealDef_Oreal),v_c,tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_561,c_487]) ).
cnf(c_5989,plain,
~ c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),v_c,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_562,c_487]) ).
cnf(c_8197,plain,
( X0 != tc_RealDef_Oreal
| c_lessequals(c_RealVector_Odist__class_Odist(X1,X2,X0),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X3,X1,X0),c_RealVector_Odist__class_Odist(X3,X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution_lifted,[status(thm)],[c_1143,c_602]) ).
cnf(c_8198,plain,
c_lessequals(c_RealVector_Odist__class_Odist(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X2,X0,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_8197]) ).
cnf(c_8295,plain,
( X0 != tc_RealDef_Oreal
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_975,c_585]) ).
cnf(c_8296,plain,
c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_8295]) ).
cnf(c_8363,plain,
( X0 != tc_RealDef_Oreal
| c_HOL_Oord__class_Oless(X1,X2,X0)
| c_lessequals(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_127,c_611]) ).
cnf(c_8364,plain,
( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_8363]) ).
cnf(c_8379,plain,
( X0 != tc_RealDef_Oreal
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ c_lessequals(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_130,c_611]) ).
cnf(c_8380,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_8379]) ).
cnf(c_8713,plain,
( X0 != tc_RealDef_Oreal
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X3,X2,X0),X0)
| c_HOL_Oord__class_Oless(X1,X3,X0) ),
inference(resolution_lifted,[status(thm)],[c_154,c_564]) ).
cnf(c_8714,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_8713]) ).
cnf(c_8754,plain,
( X0 != tc_RealDef_Oreal
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ c_lessequals(X2,X3,X0)
| c_HOL_Oord__class_Oless(X1,X3,X0) ),
inference(resolution_lifted,[status(thm)],[c_111,c_610]) ).
cnf(c_8755,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_8754]) ).
cnf(c_10794,plain,
( c_lessequals(X1,X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_8364]) ).
cnf(c_10795,plain,
( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_10794]) ).
cnf(c_11554,plain,
( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X2,tc_RealDef_Oreal) ),
inference(bin_hyper_res,[status(thm)],[c_8755,c_10795]) ).
cnf(c_13089,plain,
~ c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_5989,c_8296]) ).
cnf(c_16730,plain,
( ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_8380]) ).
cnf(c_16731,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_16730]) ).
cnf(c_16960,plain,
( c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_8714]) ).
cnf(c_16961,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X0,X2,tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_16960]) ).
cnf(c_24463,plain,
( ~ c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[c_11554]) ).
cnf(c_26380,plain,
( ~ c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X0,v_b,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X0,v_b,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[c_24463]) ).
cnf(c_26381,plain,
c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(X0,v_b,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(X0,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[c_8198]) ).
cnf(c_27902,plain,
~ c_HOL_Oord__class_Oless(v_c,c_RealVector_Odist__class_Odist(v_a,v_b,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_16731,c_5064]) ).
cnf(c_39444,plain,
c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(v_a,v_b,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(instantiation,[status(thm)],[c_26381]) ).
cnf(c_44996,plain,
( ~ c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(v_a,v_b,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(v_a,v_b,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Odist__class_Odist(v_b,v_m,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[c_26380]) ).
cnf(c_44997,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_c,c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealVector_Odist__class_Odist(v_a,v_b,tc_RealDef_Oreal),c_RealVector_Odist__class_Odist(v_a,v_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(v_c,c_RealVector_Odist__class_Odist(v_a,v_b,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(instantiation,[status(thm)],[c_16961]) ).
cnf(c_44998,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_44997,c_44996,c_39444,c_27902,c_13089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ALG378-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Thu May 2 22:38:35 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 50.79/7.67 % SZS status Started for theBenchmark.p
% 50.79/7.67 % SZS status Unsatisfiable for theBenchmark.p
% 50.79/7.67
% 50.79/7.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 50.79/7.67
% 50.79/7.67 ------ iProver source info
% 50.79/7.67
% 50.79/7.67 git: date: 2024-05-02 19:28:25 +0000
% 50.79/7.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 50.79/7.67 git: non_committed_changes: false
% 50.79/7.67
% 50.79/7.67 ------ Parsing...successful
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67 ------ Preprocessing... sup_sim: 10 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 57 sf_s rm: 52 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 52 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 52 0s sf_e pe_s pe_e
% 50.79/7.67
% 50.79/7.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 50.79/7.67
% 50.79/7.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.79/7.67 ------ Proving...
% 50.79/7.67 ------ Problem Properties
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67 clauses 293
% 50.79/7.67 conjectures 0
% 50.79/7.67 EPR 10
% 50.79/7.67 Horn 253
% 50.79/7.67 unary 100
% 50.79/7.67 binary 109
% 50.79/7.67 lits 584
% 50.79/7.67 lits eq 157
% 50.79/7.67 fd_pure 0
% 50.79/7.67 fd_pseudo 0
% 50.79/7.67 fd_cond 21
% 50.79/7.67 fd_pseudo_cond 20
% 50.79/7.67 AC symbols 0
% 50.79/7.67
% 50.79/7.67 ------ Input Options Time Limit: Unbounded
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67 ------
% 50.79/7.67 Current options:
% 50.79/7.67 ------
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67 ------ Proving...
% 50.79/7.67
% 50.79/7.67
% 50.79/7.67 % SZS status Unsatisfiable for theBenchmark.p
% 50.79/7.67
% 50.79/7.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.79/7.67
% 50.79/7.67
%------------------------------------------------------------------------------