TSTP Solution File: LAT276-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 06:17:17 EDT 2023
% Result : Unsatisfiable 1.78s 1.11s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 8 unt; 9 nHn; 41 RR)
% Number of literals : 107 ( 15 equ; 63 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,negated_conjecture,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(c_51,negated_conjecture,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_52,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_53,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_54,negated_conjecture,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(c_55,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(X3,X0,X2)
| c_in(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(c_56,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(c_57,plain,
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(X1,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X1,X0,v_r),X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(c_58,plain,
( ~ c_in(c_Pair(v_sko__4mP(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
cnf(c_59,plain,
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(c_Pair(X1,c_Tarski_Olub(X0,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(c_60,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(c_124,plain,
( c_in(v_xa,v_S,t_a)
| c_in(v_xa,v_A,t_a) ),
inference(light_normalisation,[status(thm)],[c_51,c_56]) ).
cnf(c_133,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(light_normalisation,[status(thm)],[c_52,c_60]) ).
cnf(c_138,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(light_normalisation,[status(thm)],[c_54,c_60]) ).
cnf(c_159,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(light_normalisation,[status(thm)],[c_53,c_60]) ).
cnf(c_164,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(light_normalisation,[status(thm)],[c_50,c_60]) ).
cnf(c_193,plain,
( tc_set(X0) != tc_set(t_a)
| X1 != v_S
| X2 != v_A
| ~ c_in(X3,X1,X0)
| c_in(X3,X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_49,c_55]) ).
cnf(c_194,plain,
( tc_set(X0) != tc_set(t_a)
| ~ c_in(X1,v_S,X0)
| c_in(X1,v_A,X0) ),
inference(unflattening,[status(thm)],[c_193]) ).
cnf(c_205,plain,
( tc_set(t_a) != tc_set(t_a)
| X0 != v_S
| v_A != v_A
| ~ c_in(X1,X0,t_a)
| c_in(c_Pair(X1,c_Tarski_Olub(X0,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution_lifted,[status(thm)],[c_49,c_59]) ).
cnf(c_206,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(unflattening,[status(thm)],[c_205]) ).
cnf(c_214,plain,
( tc_set(t_a) != tc_set(t_a)
| X0 != v_S
| v_A != v_A
| ~ c_in(X1,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X1,X0,v_r),X0,t_a) ),
inference(resolution_lifted,[status(thm)],[c_49,c_57]) ).
cnf(c_215,plain,
( ~ c_in(X0,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X0,v_S,v_r),v_S,t_a) ),
inference(unflattening,[status(thm)],[c_214]) ).
cnf(c_226,plain,
( tc_set(t_a) != tc_set(t_a)
| X0 != v_S
| v_A != v_A
| ~ c_in(c_Pair(v_sko__4mP(X1,X0,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution_lifted,[status(thm)],[c_49,c_58]) ).
cnf(c_227,plain,
( ~ c_in(c_Pair(v_sko__4mP(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(unflattening,[status(thm)],[c_226]) ).
cnf(c_620,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(X0,v_A,t_a) ),
inference(equality_resolution,[status(thm)],[c_194]) ).
cnf(c_638,plain,
( ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(superposition,[status(thm)],[c_138,c_133]) ).
cnf(c_647,plain,
( ~ c_in(v_xa,v_A,t_a)
| c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(superposition,[status(thm)],[c_215,c_133]) ).
cnf(c_656,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a)
| c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_215,c_159]) ).
cnf(c_666,plain,
( ~ c_in(X0,v_S,t_a)
| ~ c_in(v_xa,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_206,c_164]) ).
cnf(c_677,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(superposition,[status(thm)],[c_138,c_227]) ).
cnf(c_686,plain,
c_in(v_xa,v_S,t_a),
inference(global_subsumption_just,[status(thm)],[c_638,c_124,c_133,c_647,c_677]) ).
cnf(c_694,plain,
c_in(v_xa,v_A,t_a),
inference(superposition,[status(thm)],[c_686,c_620]) ).
cnf(c_695,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(global_subsumption_just,[status(thm)],[c_666,c_666,c_686]) ).
cnf(c_702,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),v_S,t_a) ),
inference(superposition,[status(thm)],[c_695,c_159]) ).
cnf(c_703,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_695,c_227]) ).
cnf(c_706,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_703,c_694]) ).
cnf(c_713,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
inference(superposition,[status(thm)],[c_706,c_159]) ).
cnf(c_716,plain,
~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(global_subsumption_just,[status(thm)],[c_702,c_656,c_694,c_713]) ).
cnf(c_718,plain,
~ c_in(v_xa,v_S,t_a),
inference(superposition,[status(thm)],[c_206,c_716]) ).
cnf(c_719,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_718,c_686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Aug 24 07:16:04 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.78/1.11 % SZS status Started for theBenchmark.p
% 1.78/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.78/1.11
% 1.78/1.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.78/1.11
% 1.78/1.11 ------ iProver source info
% 1.78/1.11
% 1.78/1.11 git: date: 2023-05-31 18:12:56 +0000
% 1.78/1.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.78/1.11 git: non_committed_changes: false
% 1.78/1.11 git: last_make_outside_of_git: false
% 1.78/1.11
% 1.78/1.11 ------ Parsing...successful
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 1.78/1.11
% 1.78/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.78/1.11
% 1.78/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.78/1.11 ------ Proving...
% 1.78/1.11 ------ Problem Properties
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 clauses 11
% 1.78/1.11 conjectures 0
% 1.78/1.11 EPR 1
% 1.78/1.11 Horn 8
% 1.78/1.11 unary 2
% 1.78/1.11 binary 4
% 1.78/1.11 lits 25
% 1.78/1.11 lits eq 3
% 1.78/1.11 fd_pure 0
% 1.78/1.11 fd_pseudo 0
% 1.78/1.11 fd_cond 0
% 1.78/1.11 fd_pseudo_cond 0
% 1.78/1.11 AC symbols 0
% 1.78/1.11
% 1.78/1.11 ------ Schedule dynamic 5 is on
% 1.78/1.11
% 1.78/1.11 ------ no conjectures: strip conj schedule
% 1.78/1.11
% 1.78/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 ------
% 1.78/1.11 Current options:
% 1.78/1.11 ------
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 ------ Proving...
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.78/1.11
% 1.78/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.78/1.11
% 1.78/1.12
%------------------------------------------------------------------------------