TSTP Solution File: LAT268-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT268-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 06:17:12 EDT 2023
% Result : Unsatisfiable 0.49s 1.17s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 20 RR)
% Number of literals : 58 ( 14 equ; 38 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,negated_conjecture,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_51,negated_conjecture,
~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_52,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(c_53,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X3,X0,X2)
| c_in(c_Pair(X3,c_Tarski_Olub(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
cnf(c_54,plain,
( ~ c_in(c_Pair(X0,X1,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| c_in(c_Pair(X1,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).
cnf(c_55,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
cnf(c_56,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
cnf(c_57,plain,
c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2) = c_Tarski_Oglb(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
cnf(c_58,plain,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
cnf(c_59,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(c_122,plain,
( c_Tarski_Opotype_Opset(X2,X0,tc_Product__Type_Ounit) != v_A
| tc_set(X0) != tc_set(t_a)
| X1 != v_S
| ~ c_in(X2,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X0,tc_Product__Type_Ounit))
| ~ c_in(X2,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X0,tc_Product__Type_Ounit))
| ~ c_in(X3,X1,X0)
| c_in(c_Pair(X3,c_Tarski_Olub(X1,X2,X0),X0,X0),c_Tarski_Opotype_Oorder(X2,X0,tc_Product__Type_Ounit),tc_prod(X0,X0)) ),
inference(resolution_lifted,[status(thm)],[c_49,c_53]) ).
cnf(c_123,plain,
( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A
| tc_set(X1) != tc_set(t_a)
| ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X2,v_S,X1)
| c_in(c_Pair(X2,c_Tarski_Olub(v_S,X0,X1),X1,X1),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),tc_prod(X1,X1)) ),
inference(unflattening,[status(thm)],[c_122]) ).
cnf(c_480,plain,
( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A
| tc_set(X1) != tc_set(t_a)
| ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X2,v_S,X1)
| c_in(c_Pair(X2,c_Tarski_Olub(v_S,c_Tarski_Odual(X0,X1),X1),X1,X1),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),tc_prod(X1,X1)) ),
inference(superposition,[status(thm)],[c_58,c_123]) ).
cnf(c_492,plain,
( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A
| tc_set(X1) != tc_set(t_a)
| ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X2,v_S,X1)
| c_in(c_Pair(X2,c_Tarski_Oglb(v_S,X0,X1),X1,X1),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),tc_prod(X1,X1)) ),
inference(demodulation,[status(thm)],[c_480,c_57]) ).
cnf(c_505,plain,
( tc_set(t_a) != tc_set(t_a)
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_52,c_492]) ).
cnf(c_507,plain,
( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(equality_resolution_simp,[status(thm)],[c_505]) ).
cnf(c_508,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507,c_56,c_55]) ).
cnf(c_550,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),X0,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_508,c_54]) ).
cnf(c_551,plain,
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(light_normalisation,[status(thm)],[c_550,c_59]) ).
cnf(c_559,plain,
~ c_in(v_x,v_S,t_a),
inference(superposition,[status(thm)],[c_551,c_51]) ).
cnf(c_560,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_559,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT268-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 04:57:23 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.17 % SZS status Started for theBenchmark.p
% 0.49/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.17
% 0.49/1.17 ------ iProver source info
% 0.49/1.17
% 0.49/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.17 git: non_committed_changes: false
% 0.49/1.17 git: last_make_outside_of_git: false
% 0.49/1.17
% 0.49/1.17 ------ Parsing...successful
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sup_sim: 0 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
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.49/1.17 ------ Proving...
% 0.49/1.17 ------ Problem Properties
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 clauses 10
% 0.49/1.17 conjectures 2
% 0.49/1.17 EPR 1
% 0.49/1.17 Horn 10
% 0.49/1.17 unary 8
% 0.49/1.17 binary 1
% 0.49/1.17 lits 16
% 0.49/1.17 lits eq 6
% 0.49/1.17 fd_pure 0
% 0.49/1.17 fd_pseudo 0
% 0.49/1.17 fd_cond 0
% 0.49/1.17 fd_pseudo_cond 0
% 0.49/1.17 AC symbols 0
% 0.49/1.17
% 0.49/1.17 ------ Schedule dynamic 5 is on
% 0.49/1.17
% 0.49/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------
% 0.49/1.17 Current options:
% 0.49/1.17 ------
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------ Proving...
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17
% 0.49/1.17
%------------------------------------------------------------------------------