%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW314+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 : n010.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 05:31:29 PM UTC 2026
% Result : Theorem 11.90s 8.11s
% Output : CNFRefutation 11.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_cut,axiom,
! [X4,X5,X8,X6] :
( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
fof(conj_5,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(conj_4,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_4,plain,
! [X16983,X16984,X16985,X16986] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X16986,X16985,X16984)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X16986,X16983,X16985)
| c_Hoare__Mirabelle_Ohoare__derivs(X16986,X16983,X16984) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])]) ).
fof(c_0_5,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_5])]) ).
cnf(c_0_6,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_8,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW314+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
% 0.15/0.33 % Computer : n010.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 06:36:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 11.90/8.11 % Version : CSE_E---1.7
% 11.90/8.11 % Problem : theBenchmark.p
% 11.90/8.11 % SZS status Theorem for theBenchmark.p
% 11.90/8.11 % SZS output start CNFRefutation
% See solution above
% 11.90/8.12 % Total time : 7.070s
%------------------------------------------------------------------------------