TSTP Solution File: SWV827-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV827-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Thu Aug 31 22:42:48 EDT 2023
% Result : Unsatisfiable 7.99s 1.69s
% Output : CNFRefutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 11 unt; 7 nHn; 17 RR)
% Number of literals : 44 ( 3 equ; 16 neg)
% Maximal clause size : 4 ( 1 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 : 54 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_133,plain,
c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(c_443,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/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(c_470,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/sandbox/benchmark/theBenchmark.p',cls_conseq12_1) ).
cnf(c_475,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/sandbox/benchmark/theBenchmark.p',cls_conseq12_0) ).
cnf(c_479,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/sandbox/benchmark/theBenchmark.p',cls_conseq12_2) ).
cnf(c_503,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_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_504,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_505,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_2828,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_443,c_133]) ).
cnf(c_3082,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(demodulation,[status(thm)],[c_503,c_2828]) ).
cnf(c_3206,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_504,c_2828]) ).
cnf(c_4000,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_475,c_2828]) ).
cnf(c_4007,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_479,c_2828]) ).
cnf(c_4043,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_470,c_2828]) ).
cnf(c_16428,plain,
( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X0,v_P,X1,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,v_P,X1,v_Q_H)))
| 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_3082,c_4000]) ).
cnf(c_18034,plain,
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,v_P,X2,v_Q_H)))
| 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_H,X0),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,v_P,X2,v_Q_H))) ),
inference(superposition,[status(thm)],[c_3082,c_4043]) ).
cnf(c_18323,plain,
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_sko__Hoare__Mirabelle__Xconseq12__2(v_P,v_P,v_Q,v_Q_H)))
| hBOOL(hAPP(hAPP(v_Q_H,X0),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H))) ),
inference(superposition,[status(thm)],[c_18034,c_3206]) ).
cnf(c_18448,plain,
( hBOOL(hAPP(hAPP(v_Q_H,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P,v_Q,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H)))
| 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_16428,c_18323]) ).
cnf(c_18449,plain,
hBOOL(hAPP(hAPP(v_Q_H,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P,v_Q,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H))),
inference(forward_subsumption_resolution,[status(thm)],[c_18448,c_3206]) ).
cnf(c_18450,plain,
hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P,v_Q,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H))),
inference(superposition,[status(thm)],[c_18449,c_505]) ).
cnf(c_18451,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q_H,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(superposition,[status(thm)],[c_18450,c_4007]) ).
cnf(c_18464,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_3082,c_18451]) ).
cnf(c_18475,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18464,c_3206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV827-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 04:41:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.99/1.69 % SZS status Started for theBenchmark.p
% 7.99/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 7.99/1.69
% 7.99/1.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.99/1.69
% 7.99/1.69 ------ iProver source info
% 7.99/1.69
% 7.99/1.69 git: date: 2023-05-31 18:12:56 +0000
% 7.99/1.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.99/1.69 git: non_committed_changes: false
% 7.99/1.69 git: last_make_outside_of_git: false
% 7.99/1.69
% 7.99/1.69 ------ Parsing...successful
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69 ------ Preprocessing... sup_sim: 77 sf_s rm: 26 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
% 7.99/1.69
% 7.99/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.99/1.69
% 7.99/1.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.99/1.69 ------ Proving...
% 7.99/1.69 ------ Problem Properties
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69 clauses 373
% 7.99/1.69 conjectures 1
% 7.99/1.69 EPR 19
% 7.99/1.69 Horn 344
% 7.99/1.69 unary 115
% 7.99/1.69 binary 159
% 7.99/1.69 lits 753
% 7.99/1.69 lits eq 227
% 7.99/1.69 fd_pure 0
% 7.99/1.69 fd_pseudo 0
% 7.99/1.69 fd_cond 0
% 7.99/1.69 fd_pseudo_cond 35
% 7.99/1.69 AC symbols 0
% 7.99/1.69
% 7.99/1.69 ------ Schedule dynamic 5 is on
% 7.99/1.69
% 7.99/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69 ------
% 7.99/1.69 Current options:
% 7.99/1.69 ------
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69 ------ Proving...
% 7.99/1.69
% 7.99/1.69
% 7.99/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 7.99/1.69
% 7.99/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.99/1.69
% 7.99/1.70
%------------------------------------------------------------------------------