TSTP Solution File: SCT024-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SCT024-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:58:17 EDT 2024
% Result : Unsatisfiable 17.67s 3.15s
% Output : CNFRefutation 17.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 10 unt; 2 nHn; 13 RR)
% Number of literals : 31 ( 6 equ; 16 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_720,negated_conjecture,
( ~ hBOOL(c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1)))
| ~ c_Relation_Oirrefl(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).
cnf(c_727,negated_conjecture,
c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_728,negated_conjecture,
c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_729,negated_conjecture,
c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_730,negated_conjecture,
hBOOL(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/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_731,negated_conjecture,
~ hBOOL(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/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_735,negated_conjecture,
( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(c_1760,plain,
c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt),
inference(instantiation,[status(thm)],[c_727]) ).
cnf(c_2468,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b
| hBOOL(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))) ),
inference(superposition,[status(thm)],[c_730,c_735]) ).
cnf(c_2477,plain,
( v_a = v_b
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(global_subsumption_just,[status(thm)],[c_2468,c_731,c_1760,c_2468]) ).
cnf(c_2478,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b ),
inference(renaming,[status(thm)],[c_2477]) ).
cnf(c_2479,plain,
( ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b ),
inference(superposition,[status(thm)],[c_729,c_2478]) ).
cnf(c_2480,plain,
v_a = v_b,
inference(superposition,[status(thm)],[c_728,c_2479]) ).
cnf(c_2483,plain,
hBOOL(c_in(c_Pair(v_a,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_2480,c_730]) ).
cnf(c_2503,plain,
~ c_Relation_Oirrefl(hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt),
inference(superposition,[status(thm)],[c_2483,c_720]) ).
cnf(c_2506,plain,
$false,
inference(superposition,[status(thm)],[c_728,c_2503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT024-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 18:52:29 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.67/3.15 % SZS status Started for theBenchmark.p
% 17.67/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 17.67/3.15
% 17.67/3.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.67/3.15
% 17.67/3.15 ------ iProver source info
% 17.67/3.15
% 17.67/3.15 git: date: 2024-05-02 19:28:25 +0000
% 17.67/3.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.67/3.15 git: non_committed_changes: false
% 17.67/3.15
% 17.67/3.15 ------ Parsing...successful
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 13 0s sf_e sup_sim: 0 sf_s rm: 6 0s sf_e
% 17.67/3.15
% 17.67/3.15 ------ Preprocessing...
% 17.67/3.15
% 17.67/3.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.67/3.15 ------ Proving...
% 17.67/3.15 ------ Problem Properties
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15 clauses 632
% 17.67/3.15 conjectures 27
% 17.67/3.15 EPR 27
% 17.67/3.15 Horn 562
% 17.67/3.15 unary 195
% 17.67/3.15 binary 272
% 17.67/3.15 lits 1276
% 17.67/3.15 lits eq 307
% 17.67/3.15 fd_pure 0
% 17.67/3.15 fd_pseudo 0
% 17.67/3.15 fd_cond 0
% 17.67/3.15 fd_pseudo_cond 48
% 17.67/3.15 AC symbols 0
% 17.67/3.15
% 17.67/3.15 ------ Input Options Time Limit: Unbounded
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15 ------
% 17.67/3.15 Current options:
% 17.67/3.15 ------
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15 ------ Proving...
% 17.67/3.15
% 17.67/3.15
% 17.67/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 17.67/3.15
% 17.67/3.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.67/3.15
% 17.67/3.15
%------------------------------------------------------------------------------