TSTP Solution File: SCT024-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SCT024-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Mon Jun 24 14:14:01 EDT 2024
% Result : Unsatisfiable 25.05s 4.20s
% Output : CNFRefutation 25.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
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/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_15955,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sP0_iProver_def,
definition ).
cnf(c_15956,plain,
tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool) = sP1_iProver_def,
definition ).
cnf(c_15957,plain,
c_Orderings_Otop__class_Otop(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_15958,plain,
c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sP3_iProver_def,
definition ).
cnf(c_15959,plain,
v_F(v_P) = sP4_iProver_def,
definition ).
cnf(c_15960,plain,
c_in(sP3_iProver_def,sP4_iProver_def,sP0_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_15961,plain,
hAPP(v_P,v_i) = sP6_iProver_def,
definition ).
cnf(c_15962,plain,
c_in(sP3_iProver_def,sP6_iProver_def,sP0_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_15963,negated_conjecture,
( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_i),sP0_iProver_def))
| ~ c_Relation_Ototal__on(sP2_iProver_def,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),sP0_iProver_def)) ),
inference(demodulation,[status(thm)],[c_735,c_15956,c_15957,c_15955]) ).
cnf(c_15967,negated_conjecture,
~ hBOOL(sP5_iProver_def),
inference(demodulation,[status(thm)],[c_731,c_15959,c_15958,c_15960]) ).
cnf(c_15968,negated_conjecture,
hBOOL(sP7_iProver_def),
inference(demodulation,[status(thm)],[c_730,c_15961,c_15962]) ).
cnf(c_15969,negated_conjecture,
c_Relation_Ototal__on(sP2_iProver_def,hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
inference(demodulation,[status(thm)],[c_729]) ).
cnf(c_15970,negated_conjecture,
c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
inference(demodulation,[status(thm)],[c_728]) ).
cnf(c_15971,negated_conjecture,
c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
inference(demodulation,[status(thm)],[c_727]) ).
cnf(c_25401,plain,
c_Relation_Oirrefl(sP6_iProver_def,tc_Arrow__Order__Mirabelle_Oalt),
inference(superposition,[status(thm)],[c_15961,c_15970]) ).
cnf(c_25402,plain,
( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP6_iProver_def,sP0_iProver_def))
| ~ c_Relation_Ototal__on(sP2_iProver_def,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)
| X0 = X1
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_15961,c_15963]) ).
cnf(c_25403,plain,
( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP6_iProver_def,sP0_iProver_def))
| ~ c_Relation_Ototal__on(sP2_iProver_def,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)
| X0 = X1
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP4_iProver_def,sP0_iProver_def)) ),
inference(light_normalisation,[status(thm)],[c_25402,c_15959]) ).
cnf(c_25404,plain,
( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP6_iProver_def,sP0_iProver_def))
| X0 = X1
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP4_iProver_def,sP0_iProver_def)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25403,c_15971,c_15970,c_15969]) ).
cnf(c_25437,plain,
( ~ hBOOL(c_in(sP3_iProver_def,sP6_iProver_def,sP0_iProver_def))
| v_a = v_b
| hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sP4_iProver_def,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_15958,c_25404]) ).
cnf(c_25438,plain,
( ~ hBOOL(sP7_iProver_def)
| v_a = v_b
| hBOOL(sP5_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_25437,c_15958,c_15960,c_15962]) ).
cnf(c_25439,plain,
v_a = v_b,
inference(forward_subsumption_resolution,[status(thm)],[c_25438,c_15967,c_15968]) ).
cnf(c_25440,plain,
c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_15958,c_25439]) ).
cnf(c_43227,plain,
( ~ hBOOL(c_in(sP3_iProver_def,X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Oirrefl(X0,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(superposition,[status(thm)],[c_25440,c_720]) ).
cnf(c_43231,plain,
( ~ hBOOL(c_in(sP3_iProver_def,X0,sP0_iProver_def))
| ~ c_Relation_Oirrefl(X0,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(light_normalisation,[status(thm)],[c_43227,c_15955]) ).
cnf(c_59268,plain,
( ~ c_Relation_Oirrefl(sP6_iProver_def,tc_Arrow__Order__Mirabelle_Oalt)
| ~ hBOOL(sP7_iProver_def) ),
inference(superposition,[status(thm)],[c_15962,c_43231]) ).
cnf(c_59269,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_59268,c_15968,c_25401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT024-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.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 : Sat Jun 22 10:30:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 25.05/4.20 % SZS status Started for theBenchmark.p
% 25.05/4.20 % SZS status Unsatisfiable for theBenchmark.p
% 25.05/4.20
% 25.05/4.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 25.05/4.20
% 25.05/4.20 ------ iProver source info
% 25.05/4.20
% 25.05/4.20 git: date: 2024-06-12 09:56:46 +0000
% 25.05/4.20 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 25.05/4.20 git: non_committed_changes: false
% 25.05/4.20
% 25.05/4.20 ------ Parsing...successful
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20 ------ 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
% 25.05/4.20
% 25.05/4.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 25.05/4.20
% 25.05/4.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.05/4.20 ------ Proving...
% 25.05/4.20 ------ Problem Properties
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20 clauses 598
% 25.05/4.20 conjectures 9
% 25.05/4.20 EPR 23
% 25.05/4.20 Horn 529
% 25.05/4.20 unary 180
% 25.05/4.20 binary 255
% 25.05/4.20 lits 1220
% 25.05/4.20 lits eq 294
% 25.05/4.20 fd_pure 0
% 25.05/4.20 fd_pseudo 0
% 25.05/4.20 fd_cond 0
% 25.05/4.20 fd_pseudo_cond 47
% 25.05/4.20 AC symbols 0
% 25.05/4.20
% 25.05/4.20 ------ Schedule dynamic 5 is on
% 25.05/4.20
% 25.05/4.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20 ------
% 25.05/4.20 Current options:
% 25.05/4.20 ------
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20 ------ Proving...
% 25.05/4.20
% 25.05/4.20
% 25.05/4.20 % SZS status Unsatisfiable for theBenchmark.p
% 25.05/4.20
% 25.05/4.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.05/4.20
% 25.05/4.21
%------------------------------------------------------------------------------