TSTP Solution File: SWV885-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV885-1 : 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 03:20:13 EDT 2024
% Result : Unsatisfiable 14.20s 2.72s
% Output : CNFRefutation 14.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 12 unt; 1 nHn; 15 RR)
% Number of literals : 24 ( 10 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_1050,plain,
c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__Suc_0) ).
cnf(c_1057,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).
cnf(c_1062,plain,
( ~ c_lessequals(X0,c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__surj_0) ).
cnf(c_1070,plain,
( ~ c_Finite__Set_Ofinite(X0,X1)
| c_Finite__Set_Ocard(c_Set_Oinsert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1))
| c_in(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__insert__if_1) ).
cnf(c_1104,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_1105,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_1106,negated_conjecture,
c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_1107,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat) = c_Finite__Set_Ocard(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_1109,negated_conjecture,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_1110,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) != c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_24781,plain,
c_Suc(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),c_Suc(v_na),tc_nat),
inference(superposition,[status(thm)],[c_1106,c_1057]) ).
cnf(c_24879,plain,
( ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
| c_Finite__Set_Ofinite(v_G,t_a) ),
inference(superposition,[status(thm)],[c_1105,c_1062]) ).
cnf(c_25167,plain,
( ~ c_Finite__Set_Ofinite(v_G,t_a)
| c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) = c_Suc(c_Finite__Set_Ocard(v_G,t_a)) ),
inference(superposition,[status(thm)],[c_1070,c_1109]) ).
cnf(c_33422,plain,
c_Suc(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat)) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat),
inference(demodulation,[status(thm)],[c_24781,c_1050]) ).
cnf(c_33423,plain,
c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) = c_Suc(c_Finite__Set_Ocard(v_G,t_a)),
inference(light_normalisation,[status(thm)],[c_33422,c_1107]) ).
cnf(c_33460,plain,
c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) != c_Suc(c_Finite__Set_Ocard(v_G,t_a)),
inference(superposition,[status(thm)],[c_33423,c_1110]) ).
cnf(c_33463,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_33460,c_25167,c_24879,c_1104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV885-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n007.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 23:59:35 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 14.20/2.72 % SZS status Started for theBenchmark.p
% 14.20/2.72 % SZS status Unsatisfiable for theBenchmark.p
% 14.20/2.72
% 14.20/2.72 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.20/2.72
% 14.20/2.72 ------ iProver source info
% 14.20/2.72
% 14.20/2.72 git: date: 2024-05-02 19:28:25 +0000
% 14.20/2.72 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 14.20/2.72 git: non_committed_changes: false
% 14.20/2.72
% 14.20/2.72 ------ Parsing...successful
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72 ------ Preprocessing... sup_sim: 44 sf_s rm: 125 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
% 14.20/2.72
% 14.20/2.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.20/2.72
% 14.20/2.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.20/2.72 ------ Proving...
% 14.20/2.72 ------ Problem Properties
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72 clauses 642
% 14.20/2.72 conjectures 7
% 14.20/2.72 EPR 52
% 14.20/2.72 Horn 556
% 14.20/2.72 unary 185
% 14.20/2.72 binary 245
% 14.20/2.72 lits 1356
% 14.20/2.72 lits eq 362
% 14.20/2.72 fd_pure 0
% 14.20/2.72 fd_pseudo 0
% 14.20/2.72 fd_cond 26
% 14.20/2.72 fd_pseudo_cond 51
% 14.20/2.72 AC symbols 0
% 14.20/2.72
% 14.20/2.72 ------ Input Options Time Limit: Unbounded
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72 ------
% 14.20/2.72 Current options:
% 14.20/2.72 ------
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72 ------ Proving...
% 14.20/2.72
% 14.20/2.72
% 14.20/2.72 % SZS status Unsatisfiable for theBenchmark.p
% 14.20/2.72
% 14.20/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.20/2.72
% 14.20/2.72
%------------------------------------------------------------------------------