%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW297+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 : Tue May 5 05:31:19 PM UTC 2026
% Result : Theorem 14.99s 10.99s
% Output : CNFRefutation 14.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 12 ~; 9 |; 3 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
( ! [X298,X299] :
( v_fun1(X298,X299)
=> ! [X300] :
( c_Natural_Oevaln(v_com,X299,hAPP(c_Nat_OSuc,v_n),X300)
=> v_fun2(X298,X300) ) )
=> ! [X298,X299] :
( v_fun1(X298,X299)
=> ! [X300] :
( c_Natural_Oevaln(v_com,X299,v_n,X300)
=> v_fun2(X298,X300) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_evaln__Suc,axiom,
! [X4,X5,X6,X7] :
( c_Natural_Oevaln(X7,X6,X5,X4)
=> c_Natural_Oevaln(X7,X6,hAPP(c_Nat_OSuc,X5),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_evaln__Suc) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X298,X299] :
( v_fun1(X298,X299)
=> ! [X300] :
( c_Natural_Oevaln(v_com,X299,hAPP(c_Nat_OSuc,v_n),X300)
=> v_fun2(X298,X300) ) )
=> ! [X298,X299] :
( v_fun1(X298,X299)
=> ! [X300] :
( c_Natural_Oevaln(v_com,X299,v_n,X300)
=> v_fun2(X298,X300) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_3,negated_conjecture,
! [X33906,X33907,X33908] :
( ( ~ v_fun1(X33906,X33907)
| ~ c_Natural_Oevaln(v_com,X33907,hAPP(c_Nat_OSuc,v_n),X33908)
| v_fun2(X33906,X33908) )
& v_fun1(esk553_0,esk554_0)
& c_Natural_Oevaln(v_com,esk554_0,v_n,esk555_0)
& ~ v_fun2(esk553_0,esk555_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,plain,
! [X16763,X16764,X16765,X16766] :
( ~ c_Natural_Oevaln(X16766,X16765,X16764,X16763)
| c_Natural_Oevaln(X16766,X16765,hAPP(c_Nat_OSuc,X16764),X16763) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln__Suc])]) ).
cnf(c_0_5,negated_conjecture,
( v_fun2(X1,X3)
| ~ v_fun1(X1,X2)
| ~ c_Natural_Oevaln(v_com,X2,hAPP(c_Nat_OSuc,v_n),X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( c_Natural_Oevaln(X1,X2,hAPP(c_Nat_OSuc,X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( v_fun2(X1,X2)
| ~ v_fun1(X1,X3)
| ~ c_Natural_Oevaln(v_com,X3,v_n,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
c_Natural_Oevaln(v_com,esk554_0,v_n,esk555_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
~ v_fun2(esk553_0,esk555_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( v_fun2(X1,esk555_0)
| ~ v_fun1(X1,esk554_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
v_fun1(esk553_0,esk554_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW297+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 06:35:47 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 14.99/10.99 % Version : CSE_E---1.7
% 14.99/10.99 % Problem : theBenchmark.p
% 14.99/10.99 % SZS status Theorem for theBenchmark.p
% 14.99/10.99 % SZS output start CNFRefutation
% See solution above
% 14.99/11.01 % Total time : 9.978s
%------------------------------------------------------------------------------