%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV056+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n025.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 05:20:43 PM UTC 2026
% Result : Theorem 2.33s 2.01s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 27 unt; 0 def)
% Number of atoms : 45 ( 28 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 8 ~; 4 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 18 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(cl5_nebula_norm_0040,conjecture,
( ( leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0040) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(c_0_7,plain,
! [X314] : pred(succ(X314)) = X314,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_8,plain,
! [X303] : plus(X303,n1) = succ(X303),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_9,plain,
! [X313] : minus(X313,n1) = pred(X313),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_10,plain,
! [X304] : plus(n1,X304) = succ(X304),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_11,negated_conjecture,
~ ( ( leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0040]) ).
cnf(c_0_12,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_17,negated_conjecture,
( leq(n0,pv25)
& leq(pv25,minus(n5,n1))
& ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) ) ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_20,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
| ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
leq(n0,pv25),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
leq(pv25,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
fof(c_0_26,plain,
! [X301] : sum(n0,tptp_minus_1,X301) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_27,negated_conjecture,
sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) != n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),c_0_23])]) ).
cnf(c_0_28,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV056+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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
% 0.15/0.32 % Computer : n025.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 04:54:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.33/2.01 % Version : CSE_E---1.7
% 2.33/2.01 % Problem : theBenchmark.p
% 2.33/2.01 % SZS status Theorem for theBenchmark.p
% 2.33/2.01 % SZS output start CNFRefutation
% See solution above
% 2.33/2.02 % Total time : 1.374s
%------------------------------------------------------------------------------