TSTP Solution File: SCT023-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 14:17:18 EDT 2023
% Result : Unsatisfiable 28.10s 4.70s
% Output : CNFRefutation 28.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 10 unt; 9 nHn; 19 RR)
% Number of literals : 48 ( 12 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 25 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_424,plain,
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(c_622,plain,
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Relation_Otrans(X3,X2)
| c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_transD_0) ).
cnf(c_623,plain,
( ~ hBOOL(hAPP(X0,X1))
| c_in(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(c_624,plain,
( ~ c_in(X0,X1,X2)
| hBOOL(hAPP(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(c_627,negated_conjecture,
c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_628,negated_conjecture,
c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_629,negated_conjecture,
~ c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_630,negated_conjecture,
~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_631,negated_conjecture,
( X0 = X1
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_633,negated_conjecture,
( ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X0 = X1
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(c_20687,plain,
( v_a = v_b
| c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(superposition,[status(thm)],[c_631,c_630]) ).
cnf(c_20710,plain,
( v_a = v_b
| c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(superposition,[status(thm)],[c_20687,c_633]) ).
cnf(c_28949,plain,
( v_a = v_b
| c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(superposition,[status(thm)],[c_631,c_630]) ).
cnf(c_29122,plain,
( v_a = v_b
| c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(superposition,[status(thm)],[c_28949,c_633]) ).
cnf(c_29408,plain,
hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(superposition,[status(thm)],[c_627,c_624]) ).
cnf(c_29416,plain,
( v_a = v_b
| hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(superposition,[status(thm)],[c_29122,c_624]) ).
cnf(c_29503,plain,
c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),X0),
inference(superposition,[status(thm)],[c_29408,c_623]) ).
cnf(c_30350,plain,
( v_a = v_b
| c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),X0) ),
inference(superposition,[status(thm)],[c_29416,c_623]) ).
cnf(c_31094,plain,
( ~ c_in(c_Pair(X0,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
| c_in(c_Pair(X0,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(instantiation,[status(thm)],[c_622]) ).
cnf(c_39442,plain,
( c_Set_Oinsert(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),X0) = v_F(v_P)
| v_a = v_b ),
inference(superposition,[status(thm)],[c_30350,c_424]) ).
cnf(c_67969,plain,
( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
| c_in(c_Pair(v_b,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(instantiation,[status(thm)],[c_31094]) ).
cnf(c_96956,plain,
~ c_in(c_Pair(v_b,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(instantiation,[status(thm)],[c_629]) ).
cnf(c_97203,plain,
v_a = v_b,
inference(global_subsumption_just,[status(thm)],[c_39442,c_628,c_627,c_20710,c_67969,c_96956]) ).
cnf(c_97236,plain,
c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),X0),
inference(demodulation,[status(thm)],[c_29503,c_97203]) ).
cnf(c_97251,plain,
$false,
inference(superposition,[status(thm)],[c_97236,c_629]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 15:09:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.10/4.70 % SZS status Started for theBenchmark.p
% 28.10/4.70 % SZS status Unsatisfiable for theBenchmark.p
% 28.10/4.70
% 28.10/4.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.10/4.70
% 28.10/4.70 ------ iProver source info
% 28.10/4.70
% 28.10/4.70 git: date: 2023-05-31 18:12:56 +0000
% 28.10/4.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.10/4.70 git: non_committed_changes: false
% 28.10/4.70 git: last_make_outside_of_git: false
% 28.10/4.70
% 28.10/4.70 ------ Parsing...successful
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70 ------ Preprocessing... sup_sim: 23 sf_s rm: 43 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 28.10/4.70
% 28.10/4.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 28.10/4.70
% 28.10/4.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.10/4.70 ------ Proving...
% 28.10/4.70 ------ Problem Properties
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70 clauses 471
% 28.10/4.70 conjectures 9
% 28.10/4.70 EPR 17
% 28.10/4.70 Horn 422
% 28.10/4.70 unary 148
% 28.10/4.70 binary 192
% 28.10/4.70 lits 952
% 28.10/4.70 lits eq 225
% 28.10/4.70 fd_pure 0
% 28.10/4.70 fd_pseudo 0
% 28.10/4.70 fd_cond 0
% 28.10/4.70 fd_pseudo_cond 41
% 28.10/4.70 AC symbols 0
% 28.10/4.70
% 28.10/4.70 ------ Schedule dynamic 5 is on
% 28.10/4.70
% 28.10/4.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70 ------
% 28.10/4.70 Current options:
% 28.10/4.70 ------
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70 ------ Proving...
% 28.10/4.70
% 28.10/4.70
% 28.10/4.70 % SZS status Unsatisfiable for theBenchmark.p
% 28.10/4.70
% 28.10/4.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.10/4.70
% 28.10/4.70
%------------------------------------------------------------------------------