TSTP Solution File: SET851-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET851-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 14:36:20 EDT 2024
% Result : Unsatisfiable 8.17s 1.57s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,plain,
( ~ c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).
cnf(c_54,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_55,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_56,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_57,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_58,negated_conjecture,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| X0 = v_m
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_170,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(c_21716,plain,
c_Zorn_OTFin(v_S,t_a) = sP0_iProver_def,
definition ).
cnf(c_21717,plain,
tc_set(t_a) = sP1_iProver_def,
definition ).
cnf(c_21718,plain,
tc_set(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_21719,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sP3_iProver_def,
definition ).
cnf(c_21720,plain,
c_Zorn_Osucc(v_S,v_x,t_a) = sP4_iProver_def,
definition ).
cnf(c_21721,negated_conjecture,
( ~ c_in(X0,sP0_iProver_def,sP2_iProver_def)
| ~ c_lessequals(X0,v_m,sP2_iProver_def)
| X0 = v_m
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,sP2_iProver_def) ),
inference(demodulation,[status(thm)],[c_58,c_21717,c_21718,c_21716]) ).
cnf(c_21722,negated_conjecture,
( c_lessequals(v_x,v_m,sP2_iProver_def)
| c_lessequals(sP3_iProver_def,v_x,sP2_iProver_def) ),
inference(demodulation,[status(thm)],[c_57,c_21719]) ).
cnf(c_21723,negated_conjecture,
~ c_lessequals(sP3_iProver_def,sP4_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_56,c_21720]) ).
cnf(c_21724,negated_conjecture,
~ c_lessequals(sP4_iProver_def,v_m,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_21725,negated_conjecture,
c_in(v_x,sP0_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_27179,plain,
c_lessequals(X0,X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_21718,c_170]) ).
cnf(c_27194,plain,
( ~ c_in(v_x,sP0_iProver_def,sP2_iProver_def)
| ~ c_lessequals(v_x,v_m,sP2_iProver_def)
| v_m = v_x
| c_lessequals(sP4_iProver_def,v_m,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_21720,c_21721]) ).
cnf(c_27195,plain,
( ~ c_lessequals(v_x,v_m,sP2_iProver_def)
| v_m = v_x ),
inference(forward_subsumption_resolution,[status(thm)],[c_27194,c_21724,c_21725]) ).
cnf(c_27208,plain,
( v_m = v_x
| c_lessequals(sP3_iProver_def,v_x,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_21722,c_27195]) ).
cnf(c_29665,plain,
( ~ c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
| c_lessequals(X0,sP4_iProver_def,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_21720,c_52]) ).
cnf(c_29675,plain,
( ~ c_lessequals(X0,v_x,sP2_iProver_def)
| c_lessequals(X0,sP4_iProver_def,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_29665,c_21717,c_21718]) ).
cnf(c_29975,plain,
( v_m = v_x
| c_lessequals(sP3_iProver_def,sP4_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_27208,c_29675]) ).
cnf(c_29980,plain,
v_m = v_x,
inference(forward_subsumption_resolution,[status(thm)],[c_29975,c_21723]) ).
cnf(c_29984,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_21720,c_29980]) ).
cnf(c_29987,plain,
sP3_iProver_def = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_29984,c_21719]) ).
cnf(c_29989,plain,
~ c_lessequals(sP3_iProver_def,sP3_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_21723,c_29987]) ).
cnf(c_29990,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_29989,c_27179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SET851-1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.09 % Command : run_iprover %s %d THM
% 0.08/0.29 % Computer : n017.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jun 23 15:14:39 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.17/1.57 % SZS status Started for theBenchmark.p
% 8.17/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 8.17/1.57
% 8.17/1.57 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.17/1.57
% 8.17/1.57 ------ iProver source info
% 8.17/1.57
% 8.17/1.57 git: date: 2024-06-12 09:56:46 +0000
% 8.17/1.57 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.17/1.57 git: non_committed_changes: false
% 8.17/1.57
% 8.17/1.57 ------ Parsing...successful
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57 ------ Preprocessing... sup_sim: 1 sf_s rm: 823 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 69 0s sf_e pe_s pe_e
% 8.17/1.57
% 8.17/1.57 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.17/1.57
% 8.17/1.57 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.17/1.57 ------ Proving...
% 8.17/1.57 ------ Problem Properties
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57 clauses 310
% 8.17/1.57 conjectures 6
% 8.17/1.57 EPR 31
% 8.17/1.57 Horn 278
% 8.17/1.57 unary 84
% 8.17/1.57 binary 175
% 8.17/1.57 lits 588
% 8.17/1.57 lits eq 168
% 8.17/1.57 fd_pure 0
% 8.17/1.57 fd_pseudo 0
% 8.17/1.57 fd_cond 22
% 8.17/1.57 fd_pseudo_cond 40
% 8.17/1.57 AC symbols 0
% 8.17/1.57
% 8.17/1.57 ------ Schedule dynamic 5 is on
% 8.17/1.57
% 8.17/1.57 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57 ------
% 8.17/1.57 Current options:
% 8.17/1.57 ------
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57 ------ Proving...
% 8.17/1.57
% 8.17/1.57
% 8.17/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 8.17/1.57
% 8.17/1.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.17/1.57
% 8.17/1.57
%------------------------------------------------------------------------------