TSTP Solution File: SWV825-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV825-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 8.32s 1.71s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 9 unt; 8 nHn; 16 RR)
% Number of literals : 53 ( 3 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-6 aty)
% Number of variables : 69 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_159,plain,
c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(c_501,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_528,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__Xhoare__derivs__Xintros__6__2(X0,X5,X6,X2)))
| 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__Xhoare__derivs__Xintros__6__3(X0,X5,X6,X2,X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Ointros_I6_J_1) ).
cnf(c_529,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,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Ointros_I6_J_0) ).
cnf(c_530,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__Xhoare__derivs__Xintros__6__1(X0,X5,X4,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X5,X4,X2,X1,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_hoare__derivs_Ointros_I6_J_2) ).
cnf(c_556,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_H,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_557,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_558,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,v_Z(X0,X1,X2)),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_559,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_Z(X0,X1,X2)),X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_3059,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_501,c_159]) ).
cnf(c_3331,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(demodulation,[status(thm)],[c_556,c_3059]) ).
cnf(c_3467,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_557,c_3059]) ).
cnf(c_4137,plain,
( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X1,X0,X2,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X1,X0,X2,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X0,X3,X2,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_529,c_3059]) ).
cnf(c_4344,plain,
( ~ hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X1,X2,X0,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X1,X2,X0,X3,X4,X5)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X4,X3,X5,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_530,c_3059]) ).
cnf(c_4366,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__Xhoare__derivs__Xintros__6__2(X0,X5,X6,X2)))
| hBOOL(hAPP(hAPP(X3,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X5,X6,X2,X1,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) ),
inference(demodulation,[status(thm)],[c_528,c_3059]) ).
cnf(c_12553,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,v_Z(X0,X1,X2)),X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
inference(demodulation,[status(thm)],[c_559]) ).
cnf(c_12554,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,v_Z(X0,X1,X2)),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
inference(demodulation,[status(thm)],[c_558]) ).
cnf(c_16516,plain,
( ~ hBOOL(hAPP(hAPP(X0,v_Z(X1,X2,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X4,X5,X6,X0,v_Q_H))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X3,X4,X5,X6)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X0,X6,v_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X1),X2))
| hBOOL(hAPP(hAPP(v_Q,X1),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X4,X5,X6,X0,v_Q_H)))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X4,X6,X5,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(superposition,[status(thm)],[c_4366,c_12553]) ).
cnf(c_16612,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X1,v_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X2),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X3,X4,X1)))
| hBOOL(hAPP(hAPP(v_Q,X2),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X3,X4,X1,v_P_H,v_Q_H)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(superposition,[status(thm)],[c_12554,c_16516]) ).
cnf(c_16659,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,v_Q,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,v_Q,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X2,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(X1,X2,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(superposition,[status(thm)],[c_16612,c_4344]) ).
cnf(c_16670,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,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_4137,c_16659]) ).
cnf(c_17148,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_3331,c_16670]) ).
cnf(c_17149,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_17148,c_3467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV825-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:40:16 EDT 2024
% 0.14/0.35 % 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
% 8.32/1.71 % SZS status Started for theBenchmark.p
% 8.32/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.32/1.71
% 8.32/1.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.32/1.71
% 8.32/1.71 ------ iProver source info
% 8.32/1.71
% 8.32/1.71 git: date: 2024-05-02 19:28:25 +0000
% 8.32/1.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.32/1.71 git: non_committed_changes: false
% 8.32/1.71
% 8.32/1.71 ------ Parsing...successful
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 ------ Preprocessing... sup_sim: 75 sf_s rm: 39 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 8.32/1.71
% 8.32/1.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.32/1.71
% 8.32/1.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.32/1.71 ------ Proving...
% 8.32/1.71 ------ Problem Properties
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 clauses 396
% 8.32/1.71 conjectures 2
% 8.32/1.71 EPR 19
% 8.32/1.71 Horn 366
% 8.32/1.71 unary 129
% 8.32/1.71 binary 171
% 8.32/1.71 lits 781
% 8.32/1.71 lits eq 245
% 8.32/1.71 fd_pure 0
% 8.32/1.71 fd_pseudo 0
% 8.32/1.71 fd_cond 0
% 8.32/1.71 fd_pseudo_cond 38
% 8.32/1.71 AC symbols 0
% 8.32/1.71
% 8.32/1.71 ------ Schedule dynamic 5 is on
% 8.32/1.71
% 8.32/1.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 ------
% 8.32/1.71 Current options:
% 8.32/1.71 ------
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 ------ Proving...
% 8.32/1.71
% 8.32/1.71
% 8.32/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.32/1.71
% 8.32/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.32/1.71
% 8.32/1.72
%------------------------------------------------------------------------------