TSTP Solution File: SWV826-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV826-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 03:19:59 EDT 2024
% Result : Unsatisfiable 8.06s 1.70s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 9 unt; 9 nHn; 15 RR)
% Number of literals : 47 ( 3 equ; 17 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 59 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_136,plain,
c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(c_461,plain,
hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(c_fequal(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(c_488,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X1,X4),v_sko__Hoare__Mirabelle__Xconseq12__2(X5,X1,X6,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X2,X6,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X3,X4),v_sko__Hoare__Mirabelle__Xconseq12__3(X5,X1,X6,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conseq12_1) ).
cnf(c_493,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X4,X1,X5,X3)),v_sko__Hoare__Mirabelle__Xconseq12__2(X4,X1,X5,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conseq12_0) ).
cnf(c_495,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X5,X1,X4,X3)),v_sko__Hoare__Mirabelle__Xconseq12__3(X5,X1,X4,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X2,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conseq12_2) ).
cnf(c_519,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_520,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_521,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_2893,plain,
hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_fequal(X1,X0),
inference(demodulation,[status(thm)],[c_461,c_136]) ).
cnf(c_3159,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(demodulation,[status(thm)],[c_519,c_2893]) ).
cnf(c_3283,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(demodulation,[status(thm)],[c_520,c_2893]) ).
cnf(c_4091,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X4,X1,X5,X3)),v_sko__Hoare__Mirabelle__Xconseq12__2(X4,X1,X5,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_493,c_2893]) ).
cnf(c_4098,plain,
( ~ hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X2,X0,X3)),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X2,X0,X3)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X2,X5,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X4,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X5,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_495,c_2893]) ).
cnf(c_4134,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X1,X4),v_sko__Hoare__Mirabelle__Xconseq12__2(X5,X1,X6,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X5,X2,X6,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X3,X4),v_sko__Hoare__Mirabelle__Xconseq12__3(X5,X1,X6,X3))) ),
inference(demodulation,[status(thm)],[c_488,c_2893]) ).
cnf(c_12127,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ),
inference(demodulation,[status(thm)],[c_521]) ).
cnf(c_15788,plain,
( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X0,v_P_H,X1,v_Q)),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,v_P_H,X1,v_Q)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(superposition,[status(thm)],[c_3159,c_4091]) ).
cnf(c_15810,plain,
( hBOOL(hAPP(hAPP(v_P_H,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P_H,X0,v_Q)),v_sko__Hoare__Mirabelle__Xconseq12__2(v_P,v_P_H,X0,v_Q)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(superposition,[status(thm)],[c_15788,c_12127]) ).
cnf(c_16294,plain,
( ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,v_P_H,X2,v_Q)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,X2,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,v_P_H,X2,v_Q))) ),
inference(superposition,[status(thm)],[c_3159,c_4134]) ).
cnf(c_16413,plain,
( hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P_H,X0,v_Q)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P_H,X0,v_Q)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(superposition,[status(thm)],[c_15810,c_16294]) ).
cnf(c_16465,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(superposition,[status(thm)],[c_16413,c_4098]) ).
cnf(c_16466,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16465,c_3283]) ).
cnf(c_16474,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(superposition,[status(thm)],[c_3159,c_16466]) ).
cnf(c_16475,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16474,c_3283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV826-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % Command : run_iprover %s %d THM
% 0.16/0.37 % Computer : n012.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 00:25:10 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 8.06/1.70 % SZS status Started for theBenchmark.p
% 8.06/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.70
% 8.06/1.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.06/1.70
% 8.06/1.70 ------ iProver source info
% 8.06/1.70
% 8.06/1.70 git: date: 2024-05-02 19:28:25 +0000
% 8.06/1.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.06/1.70 git: non_committed_changes: false
% 8.06/1.70
% 8.06/1.70 ------ Parsing...successful
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70 ------ Preprocessing... sup_sim: 75 sf_s rm: 34 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 8.06/1.70
% 8.06/1.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.06/1.70
% 8.06/1.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.06/1.70 ------ Proving...
% 8.06/1.70 ------ Problem Properties
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70 clauses 371
% 8.06/1.70 conjectures 1
% 8.06/1.70 EPR 19
% 8.06/1.70 Horn 343
% 8.06/1.70 unary 115
% 8.06/1.70 binary 159
% 8.06/1.70 lits 747
% 8.06/1.70 lits eq 227
% 8.06/1.70 fd_pure 0
% 8.06/1.70 fd_pseudo 0
% 8.06/1.70 fd_cond 0
% 8.06/1.70 fd_pseudo_cond 35
% 8.06/1.70 AC symbols 0
% 8.06/1.70
% 8.06/1.70 ------ Schedule dynamic 5 is on
% 8.06/1.70
% 8.06/1.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70 ------
% 8.06/1.70 Current options:
% 8.06/1.70 ------
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70 ------ Proving...
% 8.06/1.70
% 8.06/1.70
% 8.06/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.70
% 8.06/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.06/1.70
% 8.06/1.72
%------------------------------------------------------------------------------