%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW344+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 05:32:04 PM UTC 2026
% Result : Theorem 13.39s 9.93s
% Output : CNFRefutation 13.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_2,hypothesis,
! [X9,X10] :
( v_Q(X9,X10)
=> ! [X11] :
( c_Natural_Oevaln(v_d,X10,v_n,X11)
=> v_R(X9,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(conj_6,conjecture,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
fof(conj_5,hypothesis,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
fof(conj_1,hypothesis,
! [X9,X10] :
( v_P(X9,X10)
=> ! [X11] :
( c_Natural_Oevaln(v_c,X10,v_n,X11)
=> v_Q(X9,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_4,hypothesis,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(conj_3,hypothesis,
v_P(v_Z,v_s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(c_0_6,hypothesis,
! [X34486,X34487,X34488] :
( ~ v_Q(X34486,X34487)
| ~ c_Natural_Oevaln(v_d,X34487,v_n,X34488)
| v_R(X34486,X34488) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_2])])]) ).
fof(c_0_7,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])]) ).
cnf(c_0_8,hypothesis,
( v_R(X1,X3)
| ~ v_Q(X1,X2)
| ~ c_Natural_Oevaln(v_d,X2,v_n,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,hypothesis,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(split_conjunct,[status(thm)],[conj_5]) ).
fof(c_0_10,hypothesis,
! [X34483,X34484,X34485] :
( ~ v_P(X34483,X34484)
| ~ c_Natural_Oevaln(v_c,X34484,v_n,X34485)
| v_Q(X34483,X34485) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])])]) ).
cnf(c_0_11,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
( v_R(X1,v_s_H)
| ~ v_Q(X1,v_s1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
( v_Q(X1,X3)
| ~ v_P(X1,X2)
| ~ c_Natural_Oevaln(v_c,X2,v_n,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_15,negated_conjecture,
~ v_Q(v_Z,v_s1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
( v_Q(X1,v_s1)
| ~ v_P(X1,v_s) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,hypothesis,
v_P(v_Z,v_s),
inference(split_conjunct,[status(thm)],[conj_3]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW344+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n001.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 06:41:03 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 13.39/9.93 % Version : CSE_E---1.7
% 13.39/9.93 % Problem : theBenchmark.p
% 13.39/9.93 % SZS status Theorem for theBenchmark.p
% 13.39/9.93 % SZS output start CNFRefutation
% See solution above
% 13.39/9.94 % Total time : 8.928s
%------------------------------------------------------------------------------