TSTP Solution File: SWV838-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV838-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 22:42:49 EDT 2023
% Result : Unsatisfiable 24.36s 4.25s
% Output : CNFRefutation 24.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 8 unt; 11 nHn; 18 RR)
% Number of literals : 67 ( 3 equ; 32 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-6 aty)
% Number of variables : 84 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_361,plain,
c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(c_394,plain,
c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Collect(hAPP(c_fequal(X1),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(c_427,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X1,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X5,X6,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X3,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X0,X5,X6,X2,X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_1) ).
cnf(c_432,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,X3,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_0) ).
cnf(c_436,plain,
( ~ hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X2,X0,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X1,X2,X0,X3,X4,X5)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X4,X3,X5,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X0,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conseq_2) ).
cnf(c_492,negated_conjecture,
hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_493,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_495,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X0))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X2))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_Z(X1,X2),v_c,v_s(X1,X2),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_496,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_Z(X0,X1),v_sa(X0,X1,X2)),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_497,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_s(X0,X1),v_sa(X0,X1,X2)),X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_1088,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,X3,X2))) ),
inference(prop_impl_just,[status(thm)],[c_432]) ).
cnf(c_4043,plain,
c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = hAPP(c_fequal(X1),X0),
inference(demodulation,[status(thm)],[c_394,c_361]) ).
cnf(c_4230,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a),
inference(demodulation,[status(thm)],[c_493,c_4043]) ).
cnf(c_5080,plain,
( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X0,X2,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X0,X2,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X3,X2,t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_1088,c_4043]) ).
cnf(c_5360,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X0))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X2))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_Z(X1,X2),v_c,v_s(X1,X2),t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_495,c_4043]) ).
cnf(c_5479,plain,
( ~ hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X2,X0,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X1,X2,X0,X3,X4,X5)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X3,X5,t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X0,t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_436,c_4043]) ).
cnf(c_5518,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X1,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X5,X6,X2)))
| hBOOL(hAPP(hAPP(X3,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X0,X5,X6,X2,X1,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X2,X6,t_a)),t_a) ),
inference(demodulation,[status(thm)],[c_427,c_4043]) ).
cnf(c_11355,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X3,X2,t_a)),t_a)
| hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X0,X2,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X0,X2,X3))) ),
inference(prop_impl_just,[status(thm)],[c_5080]) ).
cnf(c_11356,plain,
( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X0,X2,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X0,X2,X3)))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X3,X2,t_a)),t_a) ),
inference(renaming,[status(thm)],[c_11355]) ).
cnf(c_52887,plain,
( ~ hBOOL(hAPP(hAPP(v_Z(X0,X1),X2),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X3,X4,X5,v_c)))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X3))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_s(X0,X1),X2),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X3,X4,X5,v_c,v_Z(X0,X1),v_s(X0,X1))))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,v_c,X5,t_a)),t_a) ),
inference(superposition,[status(thm)],[c_5360,c_5518]) ).
cnf(c_54448,plain,
( ~ hBOOL(hAPP(hAPP(v_Z(X0,X1),v_sa(X0,X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X2,X3,X4,v_c,v_Z(X0,X1),v_s(X0,X1)))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X2,X3,X4,v_c)))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X2,X3,X4,v_c,v_Z(X0,X1),v_s(X0,X1))))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,v_c,X4,t_a)),t_a) ),
inference(superposition,[status(thm)],[c_52887,c_497]) ).
cnf(c_54474,plain,
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X2,X3,v_c)))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X1,X2,X3,v_c,v_Z(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X2,X3,v_c)),v_s(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X2,X3,v_c)))))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,v_c,X3,t_a)),t_a) ),
inference(superposition,[status(thm)],[c_496,c_54448]) ).
cnf(c_54492,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,v_Q,v_c)),v_c,v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,v_Q,v_c)),t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,v_Q,v_c)))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,v_Q,t_a)),t_a) ),
inference(superposition,[status(thm)],[c_54474,c_5479]) ).
cnf(c_54581,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X0,X1,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X0,X1,v_Q,v_c)))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,v_Q,t_a)),t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54492,c_5360]) ).
cnf(c_61243,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a) ),
inference(superposition,[status(thm)],[c_11356,c_54581]) ).
cnf(c_84861,plain,
~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)),
inference(superposition,[status(thm)],[c_61243,c_4230]) ).
cnf(c_84874,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_84861,c_492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV838-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.17/0.35 % Computer : n008.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Aug 29 05:33:47 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.36/4.25 % SZS status Started for theBenchmark.p
% 24.36/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 24.36/4.25
% 24.36/4.25 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.36/4.25
% 24.36/4.25 ------ iProver source info
% 24.36/4.25
% 24.36/4.25 git: date: 2023-05-31 18:12:56 +0000
% 24.36/4.25 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.36/4.25 git: non_committed_changes: false
% 24.36/4.25 git: last_make_outside_of_git: false
% 24.36/4.25
% 24.36/4.25 ------ Parsing...successful
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25 ------ Preprocessing... sup_sim: 78 sf_s rm: 43 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 24.36/4.25
% 24.36/4.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.36/4.25
% 24.36/4.25 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.36/4.25 ------ Proving...
% 24.36/4.25 ------ Problem Properties
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25 clauses 348
% 24.36/4.25 conjectures 3
% 24.36/4.25 EPR 31
% 24.36/4.25 Horn 288
% 24.36/4.25 unary 92
% 24.36/4.25 binary 121
% 24.36/4.25 lits 774
% 24.36/4.25 lits eq 169
% 24.36/4.25 fd_pure 0
% 24.36/4.25 fd_pseudo 0
% 24.36/4.25 fd_cond 4
% 24.36/4.25 fd_pseudo_cond 34
% 24.36/4.25 AC symbols 0
% 24.36/4.25
% 24.36/4.25 ------ Schedule dynamic 5 is on
% 24.36/4.25
% 24.36/4.25 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25 ------
% 24.36/4.25 Current options:
% 24.36/4.25 ------
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25 ------ Proving...
% 24.36/4.25
% 24.36/4.25
% 24.36/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 24.36/4.25
% 24.36/4.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.36/4.25
% 24.36/4.26
%------------------------------------------------------------------------------