TSTP Solution File: SCT022-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SCT022-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 9.63s 2.17s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of clauses : 54 ( 19 unt; 18 nHn; 39 RR)
% Number of literals : 132 ( 25 equ; 58 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-4 aty)
% Number of variables : 72 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_673,plain,
( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1(X0,X1),X0,X1))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__eq__I_0) ).
cnf(c_719,plain,
( ~ hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))
| ~ hBOOL(c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2)))
| ~ c_Relation_Otrans(X3,X2)
| hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_transD_0) ).
cnf(c_720,plain,
( ~ hBOOL(c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1)))
| ~ c_Relation_Oirrefl(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__def_0) ).
cnf(c_722,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(c_723,plain,
hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(c_724,plain,
( ~ hBOOL(c_in(X0,X1,X2))
| ~ hBOOL(c_in(X3,X1,X2))
| ~ c_Relation_Ototal__on(X1,X4,X2)
| X0 = X3
| hBOOL(c_in(c_Pair(X0,X3,X2,X2),X4,tc_prod(X2,X2)))
| hBOOL(c_in(c_Pair(X3,X0,X2,X2),X4,tc_prod(X2,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__def_0) ).
cnf(c_725,plain,
( ~ hBOOL(hAPP(X0,X1))
| hBOOL(c_in(X1,X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(c_726,plain,
( ~ hBOOL(c_in(X0,X1,X2))
| hBOOL(hAPP(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(c_727,negated_conjecture,
c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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),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_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),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_4) ).
cnf(c_732,negated_conjecture,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_733,negated_conjecture,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_735,negated_conjecture,
( ~ hBOOL(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)))
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_xa),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(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_3262,plain,
( ~ hBOOL(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)))
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_xa),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(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_735,c_727]) ).
cnf(c_3263,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(backward_subsumption_resolution,[status(thm)],[c_733,c_727]) ).
cnf(c_3264,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(backward_subsumption_resolution,[status(thm)],[c_732,c_727]) ).
cnf(c_3269,plain,
( ~ hBOOL(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)))
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_xa),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(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3262,c_728]) ).
cnf(c_3271,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3263,c_728]) ).
cnf(c_3272,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3264,c_728]) ).
cnf(c_3310,plain,
( ~ hBOOL(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
| hBOOL(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))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3269,c_729]) ).
cnf(c_3311,plain,
c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt),
inference(backward_subsumption_resolution,[status(thm)],[c_3271,c_729]) ).
cnf(c_3313,plain,
c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt),
inference(backward_subsumption_resolution,[status(thm)],[c_3272,c_729]) ).
cnf(c_25280,plain,
( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1(X0,X1)))
| c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = X0 ),
inference(superposition,[status(thm)],[c_725,c_673]) ).
cnf(c_25350,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,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(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(superposition,[status(thm)],[c_725,c_3310]) ).
cnf(c_25363,plain,
( ~ hBOOL(c_in(c_Pair(v_b,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)))
| ~ c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
| hBOOL(c_in(c_Pair(v_a,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))) ),
inference(superposition,[status(thm)],[c_730,c_719]) ).
cnf(c_25378,plain,
( ~ hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1))
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1)
| X0 = X3
| hBOOL(c_in(c_Pair(X0,X3,X1,X1),X2,tc_prod(X1,X1)))
| hBOOL(c_in(c_Pair(X3,X0,X1,X1),X2,tc_prod(X1,X1))) ),
inference(superposition,[status(thm)],[c_723,c_724]) ).
cnf(c_25486,plain,
c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(superposition,[status(thm)],[c_722,c_25280]) ).
cnf(c_25489,plain,
c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) = sP0_iProver_split,
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_25486]) ).
cnf(c_25504,plain,
c_Relation_Ototal__on(sP0_iProver_split,hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
inference(demodulation,[status(thm)],[c_729,c_25489]) ).
cnf(c_25639,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_730,c_726]) ).
cnf(c_25645,plain,
( ~ hBOOL(c_in(c_Pair(v_b,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)))
| hBOOL(c_in(c_Pair(v_a,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))) ),
inference(global_subsumption_just,[status(thm)],[c_25363,c_3313,c_25363]) ).
cnf(c_25652,plain,
( ~ hBOOL(hAPP(v_F(v_P),c_Pair(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(v_a,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))) ),
inference(superposition,[status(thm)],[c_725,c_25645]) ).
cnf(c_25653,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| X0 = v_b
| hBOOL(c_in(c_Pair(v_a,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))) ),
inference(superposition,[status(thm)],[c_25350,c_25645]) ).
cnf(c_25711,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1)
| X0 = X3
| hBOOL(c_in(c_Pair(X0,X3,X1,X1),X2,tc_prod(X1,X1)))
| hBOOL(c_in(c_Pair(X3,X0,X1,X1),X2,tc_prod(X1,X1))) ),
inference(global_subsumption_just,[status(thm)],[c_25378,c_723,c_25378]) ).
cnf(c_25712,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1,X0)
| X2 = X3
| hBOOL(c_in(c_Pair(X2,X3,X0,X0),X1,tc_prod(X0,X0)))
| hBOOL(c_in(c_Pair(X3,X2,X0,X0),X1,tc_prod(X0,X0))) ),
inference(renaming,[status(thm)],[c_25711]) ).
cnf(c_25737,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b
| hBOOL(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_25712,c_731]) ).
cnf(c_25905,plain,
( ~ hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1))
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1)
| X0 = X3
| hBOOL(c_in(c_Pair(X0,X3,X1,X1),X2,tc_prod(X1,X1)))
| hBOOL(c_in(c_Pair(X3,X0,X1,X1),X2,tc_prod(X1,X1))) ),
inference(superposition,[status(thm)],[c_723,c_724]) ).
cnf(c_26435,plain,
( ~ hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(superposition,[status(thm)],[c_25652,c_720]) ).
cnf(c_26442,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1)
| X0 = X3
| hBOOL(c_in(c_Pair(X0,X3,X1,X1),X2,tc_prod(X1,X1)))
| hBOOL(c_in(c_Pair(X3,X0,X1,X1),X2,tc_prod(X1,X1))) ),
inference(global_subsumption_just,[status(thm)],[c_25905,c_723,c_25378]) ).
cnf(c_26443,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1,X0)
| X2 = X3
| hBOOL(c_in(c_Pair(X2,X3,X0,X0),X1,tc_prod(X0,X0)))
| hBOOL(c_in(c_Pair(X3,X2,X0,X0),X1,tc_prod(X0,X0))) ),
inference(renaming,[status(thm)],[c_26442]) ).
cnf(c_26468,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b
| hBOOL(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_26443,c_731]) ).
cnf(c_26485,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b ),
inference(superposition,[status(thm)],[c_25653,c_720]) ).
cnf(c_26819,plain,
( ~ c_Relation_Ototal__on(sP0_iProver_split,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b
| hBOOL(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(demodulation,[status(thm)],[c_25737,c_25489]) ).
cnf(c_26823,plain,
( v_a = v_b
| hBOOL(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(forward_subsumption_resolution,[status(thm)],[c_26819,c_25504]) ).
cnf(c_26830,plain,
( v_a = v_b
| hBOOL(hAPP(hAPP(v_P,v_i),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(superposition,[status(thm)],[c_26823,c_726]) ).
cnf(c_28156,plain,
v_a = v_b,
inference(global_subsumption_just,[status(thm)],[c_26468,c_3311,c_26485,c_26830]) ).
cnf(c_28165,plain,
hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(superposition,[status(thm)],[c_28156,c_25639]) ).
cnf(c_30377,plain,
~ hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(global_subsumption_just,[status(thm)],[c_26435,c_3311,c_26435]) ).
cnf(c_30777,plain,
v_a = v_b,
inference(global_subsumption_just,[status(thm)],[c_26485,c_28156]) ).
cnf(c_30780,plain,
~ hBOOL(hAPP(v_F(v_P),c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(superposition,[status(thm)],[c_30777,c_30377]) ).
cnf(c_30797,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_30780,c_28165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT022-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:45:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.63/2.17 % SZS status Started for theBenchmark.p
% 9.63/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 9.63/2.17
% 9.63/2.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.63/2.17
% 9.63/2.17 ------ iProver source info
% 9.63/2.17
% 9.63/2.17 git: date: 2023-05-31 18:12:56 +0000
% 9.63/2.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.63/2.17 git: non_committed_changes: false
% 9.63/2.17 git: last_make_outside_of_git: false
% 9.63/2.17
% 9.63/2.17 ------ Parsing...successful
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17 ------ Preprocessing... sup_sim: 28 sf_s rm: 9 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 9.63/2.17
% 9.63/2.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.63/2.17
% 9.63/2.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.63/2.17 ------ Proving...
% 9.63/2.17 ------ Problem Properties
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17 clauses 590
% 9.63/2.17 conjectures 5
% 9.63/2.17 EPR 21
% 9.63/2.17 Horn 521
% 9.63/2.17 unary 175
% 9.63/2.17 binary 255
% 9.63/2.17 lits 1200
% 9.63/2.17 lits eq 286
% 9.63/2.17 fd_pure 0
% 9.63/2.17 fd_pseudo 0
% 9.63/2.17 fd_cond 0
% 9.63/2.17 fd_pseudo_cond 47
% 9.63/2.17 AC symbols 0
% 9.63/2.17
% 9.63/2.17 ------ Input Options Time Limit: Unbounded
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17 ------
% 9.63/2.17 Current options:
% 9.63/2.17 ------
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17 ------ Proving...
% 9.63/2.17
% 9.63/2.17
% 9.63/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 9.63/2.17
% 9.63/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.63/2.17
% 9.63/2.17
%------------------------------------------------------------------------------