%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV201+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:02:55 AM UTC 2026
% Result : Theorem 6.79s 7.03s
% Output : Proof 6.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 382 ( 256 equ)
% Maximal formula atoms : 51 ( 15 avg)
% Number of connectives : 450 ( 92 ~; 63 |; 286 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 32 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0012,conjecture,
( ( ! [C,D] :
( ( leq(D,pred(pv5))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(z_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,pred(pv5))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(u_defuse,A,B) = use )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [E,F] :
( ( leq(F,pred(pv5))
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( ( ~ ( pv5 = F
& n2 = E )
& ~ ( pv5 = F
& n1 = E )
& ~ ( pv5 = F
& n0 = E ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
file('theBenchmark.p',quaternion_ds1_inuse_0012) ).
fof(f_53_1,negated_conjecture,
( ~ ! [E,F] :
( ( leq(F,pred(pv5))
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( ( ~ ( pv5 = F
& n2 = E )
& ~ ( pv5 = F
& n1 = E )
& ~ ( pv5 = F
& n0 = E ) )
=> a_select3(z_defuse,E,F) = use ) )
& ! [C,D] :
( ( leq(D,pred(pv5))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(z_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,pred(pv5))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(u_defuse,A,B) = use )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(negate,[status(cth)],[quaternion_ds1_inuse_0012]) ).
fof(f_53_2,negated_conjecture,
( ? [E,F] :
( a_select3(z_defuse,E,F) != use
& ( pv5 != F
| n2 != E )
& ( pv5 != F
| n1 != E )
& ( pv5 != F
| n0 != E )
& leq(F,pred(pv5))
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
& ! [C,D] :
( a_select3(z_defuse,C,D) = use
| ~ leq(D,pred(pv5))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(u_defuse,A,B) = use
| ~ leq(B,pred(pv5))
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(fof_nnf,[status(thm)],[f_53_1]) ).
fof(f_53_3,negated_conjecture,
( ? [U_187,U_186] :
( a_select3(z_defuse,U_187,U_186) != use
& ( pv5 != U_186
| n2 != U_187 )
& ( pv5 != U_186
| n1 != U_187 )
& ( pv5 != U_186
| n0 != U_187 )
& leq(U_186,pred(pv5))
& leq(U_187,n2)
& leq(n0,U_186)
& leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(z_defuse,U_185,U_184) = use
| ~ leq(U_184,pred(pv5))
| ~ leq(U_185,n2)
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(u_defuse,U_183,U_182) = use
| ~ leq(U_182,pred(pv5))
| ~ leq(U_183,n2)
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(variable_rename,[status(thm)],[f_53_2]) ).
fof(f_53_4,negated_conjecture,
( ? [U_186] :
( a_select3(z_defuse,sK28,U_186) != use
& ( pv5 != U_186
| n2 != sK28 )
& ( pv5 != U_186
| n1 != sK28 )
& ( pv5 != U_186
| n0 != sK28 )
& leq(U_186,pred(pv5))
& leq(sK28,n2)
& leq(n0,U_186)
& leq(n0,sK28) )
& ! [U_185,U_184] :
( a_select3(z_defuse,U_185,U_184) = use
| ~ leq(U_184,pred(pv5))
| ~ leq(U_185,n2)
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(u_defuse,U_183,U_182) = use
| ~ leq(U_182,pred(pv5))
| ~ leq(U_183,n2)
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_187,sK28)],[f_53_3]) ).
fof(f_53_5,negated_conjecture,
( a_select3(z_defuse,sK28,sK29) != use
& ( pv5 != sK29
| n2 != sK28 )
& ( pv5 != sK29
| n1 != sK28 )
& ( pv5 != sK29
| n0 != sK28 )
& leq(sK29,pred(pv5))
& leq(sK28,n2)
& leq(n0,sK29)
& leq(n0,sK28)
& ! [U_185,U_184] :
( a_select3(z_defuse,U_185,U_184) = use
| ~ leq(U_184,pred(pv5))
| ~ leq(U_185,n2)
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(u_defuse,U_183,U_182) = use
| ~ leq(U_182,pred(pv5))
| ~ leq(U_183,n2)
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_186,sK29)],[f_53_4]) ).
fof(f_53_6,negated_conjecture,
( a_select3(z_defuse,sK28,sK29) != use
& ( pv5 != sK29
| n2 != sK28 )
& ( pv5 != sK29
| n1 != sK28 )
& ( pv5 != sK29
| n0 != sK28 )
& leq(sK29,pred(pv5))
& leq(sK28,n2)
& leq(n0,sK29)
& leq(n0,sK28)
& ! [U_184,U_185] :
( a_select3(z_defuse,U_185,U_184) = use
| ~ leq(U_184,pred(pv5))
| ~ leq(U_185,n2)
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_182,U_183] :
( a_select3(u_defuse,U_183,U_182) = use
| ~ leq(U_182,pred(pv5))
| ~ leq(U_183,n2)
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& gt(pv5,n0)
& leq(pv5,n998)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(definitional_conversion,[status(esa)],[f_53_5]) ).
cnf(f_53_38,negated_conjecture,
( a_select3(z_defuse,U_185,U_184) = use
| ~ leq(U_184,pred(pv5))
| ~ leq(U_185,n2)
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) ),
inference(clausify,[status(thm)],[f_53_6]) ).
cnf(f_53_39,negated_conjecture,
leq(n0,sK28),
inference(clausify,[status(thm)],[f_53_6]) ).
cnf(f_53_40,negated_conjecture,
leq(n0,sK29),
inference(clausify,[status(thm)],[f_53_6]) ).
cnf(f_53_41,negated_conjecture,
leq(sK28,n2),
inference(clausify,[status(thm)],[f_53_6]) ).
cnf(f_53_42,negated_conjecture,
leq(sK29,pred(pv5)),
inference(clausify,[status(thm)],[f_53_6]) ).
cnf(f_53_46,negated_conjecture,
a_select3(z_defuse,sK28,sK29) != use,
inference(clausify,[status(thm)],[f_53_6]) ).
cnf(t1,plain,
a_select3(z_defuse,sK28,sK29) != use,
inference(start,[status(thm),parent(0:0)],[f_53_46]) ).
cnf(t2,plain,
( ~ leq(n0,sK29)
| ~ leq(sK28,n2)
| ~ leq(sK29,pred(pv5))
| ~ leq(n0,sK28)
| a_select3(z_defuse,sK28,sK29) = use ),
inference(extension,[status(thm),parent(t1:1)],[f_53_38]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
leq(n0,sK28),
inference(extension,[status(thm),parent(t2:2)],[f_53_39]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
leq(sK29,pred(pv5)),
inference(extension,[status(thm),parent(t2:3)],[f_53_42]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
leq(sK28,n2),
inference(extension,[status(thm),parent(t2:4)],[f_53_41]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
leq(n0,sK29),
inference(extension,[status(thm),parent(t2:5)],[f_53_40]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV201+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 03:09:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 6.79/7.03 % SZS status Theorem for theBenchmark
% 6.79/7.03 % SZS output start Proof for theBenchmark
% See solution above
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