TSTP Solution File: LAT281-2 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 May 9 17:29:36 EDT 2024
% Result : Unsatisfiable 2.33s 2.51s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 18 RR)
% Number of literals : 33 ( 10 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
theory(equality) ).
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
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,axiom,
( X12 != X14
| X13 != X15
| ~ c_Relation_Otrans(X12,X13)
| c_Relation_Otrans(X14,X15) ),
theory(equality) ).
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
cnf(cls_Tarski_OPartialOrder__iff_2,axiom,
( ~ c_in(X46,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X45,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(X46,X45,tc_Product__Type_Ounit),X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).
cnf(c40,plain,
c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[status(thm)],[cls_Tarski_OPartialOrder__iff_2,cls_Tarski_Ocl_A_58_APartialOrder_0]) ).
cnf(c41,plain,
( c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != X71
| t_a != X72
| c_Relation_Otrans(X71,X72) ),
inference(resolution,[status(thm)],[c40,c5]) ).
cnf(c94,plain,
( t_a != X73
| c_Relation_Otrans(v_r,X73) ),
inference(resolution,[status(thm)],[c41,c7]) ).
cnf(c95,plain,
c_Relation_Otrans(v_r,t_a),
inference(resolution,[status(thm)],[c94,reflexivity]) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Relation_Otrans__def_0,axiom,
( ~ c_Relation_Otrans(X29,X32)
| ~ c_in(c_Pair(X30,X28,X32,X32),X29,tc_prod(X32,X32))
| ~ c_in(c_Pair(X31,X30,X32,X32),X29,tc_prod(X32,X32))
| c_in(c_Pair(X31,X28,X32,X32),X29,tc_prod(X32,X32)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).
cnf(c29,plain,
( ~ c_Relation_Otrans(v_r,t_a)
| ~ c_in(c_Pair(v_b,X153,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_a,X153,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[cls_Relation_Otrans__def_0,cls_conjecture_0]) ).
cnf(c386,plain,
( ~ c_Relation_Otrans(v_r,t_a)
| c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c29,cls_conjecture_1]) ).
cnf(c7488,plain,
c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c386,c95]) ).
cnf(c7567,plain,
$false,
inference(resolution,[status(thm)],[c7488,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 12:33:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 2.33/2.51 % Version: 1.5
% 2.33/2.51 % SZS status Unsatisfiable
% 2.33/2.51 % SZS output start CNFRefutation
% See solution above
% 2.33/2.51
% 2.33/2.51 % Initial clauses : 16
% 2.33/2.51 % Processed clauses : 228
% 2.33/2.51 % Factors computed : 51
% 2.33/2.51 % Resolvents computed: 7511
% 2.33/2.51 % Tautologies deleted: 3
% 2.33/2.51 % Forward subsumed : 142
% 2.33/2.51 % Backward subsumed : 40
% 2.33/2.51 % -------- CPU Time ---------
% 2.33/2.51 % User time : 2.132 s
% 2.33/2.51 % System time : 0.033 s
% 2.33/2.51 % Total time : 2.165 s
%------------------------------------------------------------------------------