TSTP Solution File: LAT268-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT268-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 204.05s 27.86s
% Output : CNFRefutation 204.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 17 RR)
% Number of literals : 45 ( 4 equ; 28 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 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_2788,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-1.ax',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(c_2789,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/Axioms/LAT006-1.ax',cls_Tarski_OCL_Olub__upper_0) ).
cnf(c_2790,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/Axioms/LAT006-1.ax',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_2796,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/Axioms/LAT006-1.ax',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
cnf(c_2797,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/Axioms/LAT006-1.ax',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
cnf(c_2798,plain,
c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2) = c_Tarski_Oglb(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-1.ax',cls_Tarski_Oglb__dual__lub_0) ).
cnf(c_2799,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/Axioms/LAT006-1.ax',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
cnf(c_2800,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-1.ax',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(c_5897,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X1,X2),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_Oglb(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
inference(superposition,[status(thm)],[c_2798,c_2789]) ).
cnf(c_5919,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X1,X2),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_Oglb(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
inference(demodulation,[status(thm)],[c_5897,c_2799]) ).
cnf(c_6070,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X3,X0,X2)
| c_in(c_Pair(c_Tarski_Oglb(X0,X1,X2),X3,X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
inference(superposition,[status(thm)],[c_5919,c_2790]) ).
cnf(c_6291,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),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(X1,X0,t_a)
| c_in(c_Pair(c_Tarski_Oglb(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(superposition,[status(thm)],[c_2800,c_6070]) ).
cnf(c_6294,plain,
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(c_Pair(c_Tarski_Oglb(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(global_subsumption_just,[status(thm)],[c_6291,c_2797,c_2796,c_6291]) ).
cnf(c_6300,plain,
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(c_Pair(c_Tarski_Oglb(X0,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(light_normalisation,[status(thm)],[c_6294,c_2788]) ).
cnf(c_6813,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_x,v_S,t_a) ),
inference(superposition,[status(thm)],[c_6300,c_51]) ).
cnf(c_6814,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6813,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT268-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n019.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 05:16:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 204.05/27.86 % SZS status Started for theBenchmark.p
% 204.05/27.86 % SZS status Unsatisfiable for theBenchmark.p
% 204.05/27.86
% 204.05/27.86 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 204.05/27.86
% 204.05/27.86 ------ iProver source info
% 204.05/27.86
% 204.05/27.86 git: date: 2023-05-31 18:12:56 +0000
% 204.05/27.86 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 204.05/27.86 git: non_committed_changes: false
% 204.05/27.86 git: last_make_outside_of_git: false
% 204.05/27.86
% 204.05/27.86 ------ Parsing...successful
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86 ------ Preprocessing... sf_s rm: 614 0s sf_e sf_s rm: 18 0s sf_e
% 204.05/27.86
% 204.05/27.86 ------ Preprocessing...
% 204.05/27.86
% 204.05/27.86 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 204.05/27.86 ------ Proving...
% 204.05/27.86 ------ Problem Properties
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86 clauses 2082
% 204.05/27.86 conjectures 3
% 204.05/27.86 EPR 660
% 204.05/27.86 Horn 1902
% 204.05/27.86 unary 609
% 204.05/27.86 binary 1051
% 204.05/27.86 lits 4202
% 204.05/27.86 lits eq 1089
% 204.05/27.86 fd_pure 0
% 204.05/27.86 fd_pseudo 0
% 204.05/27.86 fd_cond 99
% 204.05/27.86 fd_pseudo_cond 66
% 204.05/27.86 AC symbols 0
% 204.05/27.86
% 204.05/27.86 ------ Input Options Time Limit: Unbounded
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86 ------
% 204.05/27.86 Current options:
% 204.05/27.86 ------
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86 ------ Proving...
% 204.05/27.86
% 204.05/27.86
% 204.05/27.86 % SZS status Unsatisfiable for theBenchmark.p
% 204.05/27.86
% 204.05/27.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 204.05/27.86
% 204.05/27.86
%------------------------------------------------------------------------------