TSTP Solution File: LAT259-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 : 600s
% DateTime : Sun Jul 17 06:29:56 EDT 2022
% Result : Unsatisfiable 0.39s 0.64s
% Output : Refutation 0.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
v_a != v_b,
input ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
eq_axiom ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
input ).
cnf(c7,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(resolution,status(thm),[cls_Tarski_Or_A_61_61_Aorder_Acl_0,symmetry]) ).
cnf(c5,plain,
( X13 != X12
| X14 != X11
| ~ c_Relation_Oantisym(X13,X14)
| c_Relation_Oantisym(X12,X11) ),
eq_axiom ).
cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
input ).
cnf(cls_Tarski_OPartialOrder__iff_1,axiom,
( ~ c_in(X34,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X35,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X34,X35,tc_Product__Type_Ounit),X35) ),
input ).
cnf(c27,plain,
c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,status(thm),[cls_Tarski_OPartialOrder__iff_1,cls_Tarski_Ocl_A_58_APartialOrder_0]) ).
cnf(c28,plain,
( c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X64
| t_a != X63
| c_Relation_Oantisym(X64,X63) ),
inference(resolution,status(thm),[c27,c5]) ).
cnf(c71,plain,
( t_a != X65
| c_Relation_Oantisym(v_r,X65) ),
inference(resolution,status(thm),[c28,c7]) ).
cnf(c72,plain,
c_Relation_Oantisym(v_r,t_a),
inference(resolution,status(thm),[c71,reflexivity]) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
input ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
input ).
cnf(cls_Relation_Oantisym__def_0,axiom,
( ~ c_Relation_Oantisym(X19,X18)
| ~ c_in(c_Pair(X17,X20,X18,X18),X19,tc_prod(X18,X18))
| ~ c_in(c_Pair(X20,X17,X18,X18),X19,tc_prod(X18,X18))
| X20 = X17 ),
input ).
cnf(c16,plain,
( ~ c_Relation_Oantisym(v_r,t_a)
| ~ c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| v_b = v_a ),
inference(resolution,status(thm),[cls_Relation_Oantisym__def_0,cls_conjecture_1]) ).
cnf(c81,plain,
( ~ c_Relation_Oantisym(v_r,t_a)
| v_b = v_a ),
inference(resolution,status(thm),[c16,cls_conjecture_0]) ).
cnf(c82,plain,
v_b = v_a,
inference(resolution,status(thm),[c81,c72]) ).
cnf(c87,plain,
v_a = v_b,
inference(resolution,status(thm),[c82,symmetry]) ).
cnf(c94,plain,
$false,
inference(resolution,status(thm),[c87,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 12:13:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.64 # Version: 1.3
% 0.39/0.64 # SZS status Unsatisfiable
% 0.39/0.64 # SZS output start CNFRefutation
% See solution above
% 0.39/0.64
% 0.39/0.64 # Initial clauses : 16
% 0.39/0.64 # Processed clauses : 36
% 0.39/0.64 # Factors computed : 0
% 0.39/0.64 # Resolvents computed: 94
% 0.39/0.64 # Tautologies deleted: 1
% 0.39/0.64 # Forward subsumed : 15
% 0.39/0.64 # Backward subsumed : 2
% 0.39/0.64 # -------- CPU Time ---------
% 0.39/0.64 # User time : 0.214 s
% 0.39/0.64 # System time : 0.021 s
% 0.39/0.64 # Total time : 0.235 s
%------------------------------------------------------------------------------