TSTP Solution File: ANA019-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ANA019-2 : TPTP v8.1.2. Released v3.2.0.
% 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 02:05:32 EDT 2024
% Result : Unsatisfiable 1.99s 1.19s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
v_f(c_0) = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,negated_conjecture,
c_less(c_0,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_51,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_52,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
| ~ c_less(c_0,X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_53,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_54,plain,
( ~ c_less(c_0,X0,tc_nat)
| c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).
cnf(c_55,plain,
( X0 = c_0
| c_less(c_0,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
cnf(c_56,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_0,X0) = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1) ).
cnf(c_57,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c_58,plain,
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(c_59,plain,
( ~ c_lessequals(c_0,X0,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X0,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(c_60,plain,
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(c_61,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
cnf(c_62,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(c_63,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_194,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X1) ),
inference(resolution_lifted,[status(thm)],[c_61,c_60]) ).
cnf(c_195,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(unflattening,[status(thm)],[c_194]) ).
cnf(c_205,plain,
( X0 != t_a
| class_Orderings_Oorder(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_195]) ).
cnf(c_206,plain,
class_Orderings_Oorder(t_a),
inference(unflattening,[status(thm)],[c_205]) ).
cnf(c_210,plain,
( X0 != t_a
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_63]) ).
cnf(c_211,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(unflattening,[status(thm)],[c_210]) ).
cnf(c_215,plain,
( X0 != t_a
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_62]) ).
cnf(c_216,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(unflattening,[status(thm)],[c_215]) ).
cnf(c_223,plain,
( X0 != t_a
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_211]) ).
cnf(c_224,plain,
c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(unflattening,[status(thm)],[c_223]) ).
cnf(c_229,plain,
( X0 != t_a
| c_HOL_Oabs(c_0,X0) = c_0 ),
inference(resolution_lifted,[status(thm)],[c_56,c_211]) ).
cnf(c_230,plain,
c_HOL_Oabs(c_0,t_a) = c_0,
inference(unflattening,[status(thm)],[c_229]) ).
cnf(c_236,plain,
( X0 != t_a
| ~ c_less(X1,X2,X0)
| c_lessequals(X1,X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_206]) ).
cnf(c_237,plain,
( ~ c_less(X0,X1,t_a)
| c_lessequals(X0,X1,t_a) ),
inference(unflattening,[status(thm)],[c_236]) ).
cnf(c_247,plain,
( X0 != t_a
| ~ c_lessequals(c_0,X1,X0)
| ~ c_lessequals(c_0,X2,X0)
| c_lessequals(c_0,c_times(X1,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_59,c_216]) ).
cnf(c_248,plain,
( ~ c_lessequals(c_0,X0,t_a)
| ~ c_lessequals(c_0,X1,t_a)
| c_lessequals(c_0,c_times(X0,X1,t_a),t_a) ),
inference(unflattening,[status(thm)],[c_247]) ).
cnf(c_262,plain,
( X0 != X1
| c_0 != c_0
| tc_nat != tc_nat
| c_Suc(c_minus(X1,c_1,tc_nat)) = X1
| X0 = c_0 ),
inference(resolution_lifted,[status(thm)],[c_55,c_54]) ).
cnf(c_263,plain,
( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
| X0 = c_0 ),
inference(unflattening,[status(thm)],[c_262]) ).
cnf(c_271,plain,
( X0 != v_x
| c_0 != c_0
| t_a != t_a
| ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a) ),
inference(resolution_lifted,[status(thm)],[c_50,c_52]) ).
cnf(c_272,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_xa(v_x)),t_a),c_times(v_x,c_HOL_Oabs(v_h(v_xa(v_x)),t_a),t_a),t_a),
inference(unflattening,[status(thm)],[c_271]) ).
cnf(c_284,plain,
( X0 != c_0
| X1 != v_x
| t_a != t_a
| c_lessequals(X0,X1,t_a) ),
inference(resolution_lifted,[status(thm)],[c_50,c_237]) ).
cnf(c_285,plain,
c_lessequals(c_0,v_x,t_a),
inference(unflattening,[status(thm)],[c_284]) ).
cnf(c_398,plain,
v_f(c_0) = sP0_iProver_def,
definition ).
cnf(c_399,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_400,negated_conjecture,
sP0_iProver_def = c_0,
inference(demodulation,[status(thm)],[c_49,c_398]) ).
cnf(c_615,plain,
c_lessequals(sP0_iProver_def,v_x,t_a),
inference(light_normalisation,[status(thm)],[c_285,c_400]) ).
cnf(c_625,plain,
c_lessequals(sP0_iProver_def,c_HOL_Oabs(X0,t_a),t_a),
inference(light_normalisation,[status(thm)],[c_224,c_400]) ).
cnf(c_626,plain,
c_HOL_Oabs(sP0_iProver_def,t_a) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_230,c_400]) ).
cnf(c_628,plain,
( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
| X0 = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_263,c_400]) ).
cnf(c_633,plain,
( X0 = sP0_iProver_def
| c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_x,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a) ),
inference(superposition,[status(thm)],[c_628,c_399]) ).
cnf(c_637,plain,
v_f(sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_398,c_400]) ).
cnf(c_645,plain,
( ~ c_lessequals(sP0_iProver_def,X0,t_a)
| ~ c_lessequals(sP0_iProver_def,X1,t_a)
| c_lessequals(sP0_iProver_def,c_times(X0,X1,t_a),t_a) ),
inference(light_normalisation,[status(thm)],[c_248,c_400]) ).
cnf(c_657,plain,
v_xa(v_x) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_633,c_272]) ).
cnf(c_658,plain,
~ c_lessequals(c_HOL_Oabs(v_f(sP0_iProver_def),t_a),c_times(v_x,c_HOL_Oabs(v_h(sP0_iProver_def),t_a),t_a),t_a),
inference(demodulation,[status(thm)],[c_272,c_657]) ).
cnf(c_659,plain,
~ c_lessequals(sP0_iProver_def,c_times(v_x,c_HOL_Oabs(v_h(sP0_iProver_def),t_a),t_a),t_a),
inference(light_normalisation,[status(thm)],[c_658,c_626,c_637]) ).
cnf(c_660,plain,
( ~ c_lessequals(sP0_iProver_def,c_HOL_Oabs(v_h(sP0_iProver_def),t_a),t_a)
| ~ c_lessequals(sP0_iProver_def,v_x,t_a) ),
inference(superposition,[status(thm)],[c_645,c_659]) ).
cnf(c_661,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_660,c_615,c_625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ANA019-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n010.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 19:37:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 1.99/1.19 % SZS status Started for theBenchmark.p
% 1.99/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.19
% 1.99/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.99/1.19
% 1.99/1.19 ------ iProver source info
% 1.99/1.19
% 1.99/1.19 git: date: 2024-05-02 19:28:25 +0000
% 1.99/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.99/1.19 git: non_committed_changes: false
% 1.99/1.19
% 1.99/1.19 ------ Parsing...successful
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 1.99/1.19
% 1.99/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.99/1.19
% 1.99/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.99/1.19 ------ Proving...
% 1.99/1.19 ------ Problem Properties
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19 clauses 12
% 1.99/1.19 conjectures 2
% 1.99/1.19 EPR 3
% 1.99/1.19 Horn 10
% 1.99/1.19 unary 7
% 1.99/1.19 binary 2
% 1.99/1.19 lits 20
% 1.99/1.19 lits eq 11
% 1.99/1.19 fd_pure 0
% 1.99/1.19 fd_pseudo 0
% 1.99/1.19 fd_cond 2
% 1.99/1.19 fd_pseudo_cond 0
% 1.99/1.19 AC symbols 0
% 1.99/1.19
% 1.99/1.19 ------ Schedule dynamic 5 is on
% 1.99/1.19
% 1.99/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19 ------
% 1.99/1.19 Current options:
% 1.99/1.19 ------
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19 ------ Proving...
% 1.99/1.19
% 1.99/1.19
% 1.99/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.19
% 1.99/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.99/1.19
% 1.99/1.19
%------------------------------------------------------------------------------