%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV221+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 : Fri Jul 25 04:46:18 PM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 115 ( 26 equ)
% Maximal formula atoms : 47 ( 7 avg)
% Number of connectives : 115 ( 15 ~; 8 |; 66 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0401,plain,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,n5)
& leq(H,n5) )
=> ( ( G = pv57
& gt(pv58,H) )
=> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ) )
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,n5)
& leq(J,n5) )
=> ( gt(pv57,I)
=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )
& ! [K] :
( ( leq(n0,K)
& leq(K,pred(pv57)) )
=> ! [L] :
( ( leq(n0,L)
& leq(L,n5) )
=> a_select3(id_ds1_filter,K,L) = a_select3(id_ds1_filter,L,K) ) ) )
=> ! [M] :
( ( leq(n0,M)
& leq(M,pred(pv57)) )
=> ! [N] :
( ( leq(n0,N)
& leq(N,n5) )
=> ( ( ~ ( pv57 = N
& N = M )
& pv57 != M )
=> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0401) ).
fof(quaternion_ds1_symm_0401_negated,plain,
~ ( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,n5)
& leq(H,n5) )
=> ( ( G = pv57
& gt(pv58,H) )
=> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ) )
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,n5)
& leq(J,n5) )
=> ( gt(pv57,I)
=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )
& ! [K] :
( ( leq(n0,K)
& leq(K,pred(pv57)) )
=> ! [L] :
( ( leq(n0,L)
& leq(L,n5) )
=> a_select3(id_ds1_filter,K,L) = a_select3(id_ds1_filter,L,K) ) ) )
=> ! [M] :
( ( leq(n0,M)
& leq(M,pred(pv57)) )
=> ! [N] :
( ( leq(n0,N)
& leq(N,n5) )
=> ( ( ~ ( pv57 = N
& N = M )
& pv57 != M )
=> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M) ) ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0401]) ).
cnf(126,plain,
( ~ leq(X0,pred(pv57))
| ~ leq(X1,n5)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0401_negated]) ).
cnf(l0,plain,
( ~ leq(sK28,pred(pv57))
| ~ leq(sK29,n5)
| ~ leq(n0,sK28)
| ~ leq(n0,sK29)
| a_select3(id_ds1_filter,sK28,sK29) = a_select3(id_ds1_filter,sK29,sK28) ),
inference(instantiation,[status(thm)],[126]) ).
cnf(128,plain,
leq(sK28,pred(pv57)),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0401_negated]) ).
cnf(l1,plain,
leq(sK28,pred(pv57)),
inference(instantiation,[status(thm)],[128]) ).
cnf(127,plain,
leq(n0,sK28),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0401_negated]) ).
cnf(l5,plain,
leq(n0,sK28),
inference(instantiation,[status(thm)],[127]) ).
cnf(130,plain,
leq(sK29,n5),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0401_negated]) ).
cnf(l3,plain,
leq(sK29,n5),
inference(instantiation,[status(thm)],[130]) ).
cnf(129,plain,
leq(n0,sK29),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0401_negated]) ).
cnf(l4,plain,
leq(n0,sK29),
inference(instantiation,[status(thm)],[129]) ).
cnf(133,plain,
a_select3(id_ds1_filter,sK28,sK29) != a_select3(id_ds1_filter,sK29,sK28),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0401_negated]) ).
cnf(l2,plain,
a_select3(id_ds1_filter,sK28,sK29) != a_select3(id_ds1_filter,sK29,sK28),
inference(instantiation,[status(thm)],[133]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l3,l4,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV221+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 08:29:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------