%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV121+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 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 : n011.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 05:20:52 PM UTC 2026
% Result : Theorem 0.28s 2.08s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 40 ( 6 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 35 ( 3 ~; 0 |; 23 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0014,conjecture,
( ( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) ) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0014) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(c_0_2,plain,
( epred2_0
<=> ( ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,minus(n6,n1))
& leq(X18,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,minus(n3,n1))
& leq(X20,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,minus(n6,n1))
& leq(X22,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ( epred2_0
=> true ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0014]),c_0_2]) ).
fof(c_0_4,negated_conjecture,
( epred2_0
& ~ true ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
~ true,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.46 % Problem : SWV121+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.10/0.46 % 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
% 0.12/0.71 % Computer : n011.cluster.edu
% 0.12/0.71 % Model : x86_64 x86_64
% 0.12/0.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.71 % Memory : 8042.1875MB
% 0.12/0.71 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.71 % CPULimit : 300
% 0.12/0.71 % WCLimit : 300
% 0.12/0.71 % DateTime : Tue May 5 04:56:32 EDT 2026
% 0.12/0.72 % CPUTime :
% 0.12/0.73 % start to proof: theBenchmark
% 0.28/2.08 % Version : CSE_E---1.7
% 0.28/2.08 % Problem : theBenchmark.p
% 0.28/2.08 % SZS status Theorem for theBenchmark.p
% 0.28/2.08 % SZS output start CNFRefutation
% See solution above
% 0.28/2.08 % Total time : 1.328s
%------------------------------------------------------------------------------