%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU010+1 : TPTP v9.3.1. Released v3.2.0.
% 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 : n017.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 08:57:56 AM UTC 2026
% Result : Theorem 0.13s 0.67s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 74 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 29 ~; 22 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 3 sgn 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(t42_funct_1,conjecture,
! [A] :
( ( function(A)
& relation(A) )
=> ( relation_composition(A,identity_relation(relation_rng(A))) = A
& relation_composition(identity_relation(relation_dom(A)),A) = A ) ),
file('theBenchmark.p',t42_funct_1) ).
fof(t77_relat_1,axiom,
! [A,B] :
( relation(B)
=> ( subset(relation_dom(B),A)
=> relation_composition(identity_relation(A),B) = B ) ),
file('theBenchmark.p',t77_relat_1) ).
fof(t79_relat_1,axiom,
! [A,B] :
( relation(B)
=> ( subset(relation_rng(B),A)
=> relation_composition(B,identity_relation(A)) = B ) ),
file('theBenchmark.p',t79_relat_1) ).
fof(f_22_1,plain,
! [A,B] : subset(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_22_2,plain,
! [U_31,U_30] : subset(U_31,U_31),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_31] : subset(U_31,U_31),
inference(miniscope,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
subset(U_31,U_31),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_36_1,negated_conjecture,
~ ! [A] :
( ( function(A)
& relation(A) )
=> ( relation_composition(A,identity_relation(relation_rng(A))) = A
& relation_composition(identity_relation(relation_dom(A)),A) = A ) ),
inference(negate,[status(cth)],[t42_funct_1]) ).
fof(f_36_2,negated_conjecture,
? [A] :
( ( relation_composition(A,identity_relation(relation_rng(A))) != A
| relation_composition(identity_relation(relation_dom(A)),A) != A )
& function(A)
& relation(A) ),
inference(fof_nnf,[status(thm)],[f_36_1]) ).
fof(f_36_3,negated_conjecture,
? [U_56] :
( ( relation_composition(U_56,identity_relation(relation_rng(U_56))) != U_56
| relation_composition(identity_relation(relation_dom(U_56)),U_56) != U_56 )
& function(U_56)
& relation(U_56) ),
inference(variable_rename,[status(thm)],[f_36_2]) ).
fof(f_36_4,negated_conjecture,
( ( relation_composition(sK10,identity_relation(relation_rng(sK10))) != sK10
| relation_composition(identity_relation(relation_dom(sK10)),sK10) != sK10 )
& function(sK10)
& relation(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_56,sK10)],[f_36_3]) ).
fof(f_36_5,negated_conjecture,
( ( relation_composition(sK10,identity_relation(relation_rng(sK10))) != sK10
| relation_composition(identity_relation(relation_dom(sK10)),sK10) != sK10 )
& function(sK10)
& relation(sK10) ),
inference(definitional_conversion,[status(esa)],[f_36_4]) ).
cnf(f_36_6,negated_conjecture,
relation(sK10),
inference(clausify,[status(thm)],[f_36_5]) ).
cnf(f_36_8,negated_conjecture,
( relation_composition(sK10,identity_relation(relation_rng(sK10))) != sK10
| relation_composition(identity_relation(relation_dom(sK10)),sK10) != sK10 ),
inference(clausify,[status(thm)],[f_36_5]) ).
fof(f_37_1,plain,
! [A,B] :
( relation_composition(identity_relation(A),B) = B
| ~ subset(relation_dom(B),A)
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t77_relat_1]) ).
fof(f_37_2,plain,
! [U_58,U_57] :
( relation_composition(identity_relation(U_58),U_57) = U_57
| ~ subset(relation_dom(U_57),U_58)
| ~ relation(U_57) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( relation_composition(identity_relation(U_58),U_57) = U_57
| ~ subset(relation_dom(U_57),U_58)
| ~ relation(U_57) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [A,B] :
( relation_composition(B,identity_relation(A)) = B
| ~ subset(relation_rng(B),A)
| ~ relation(B) ),
inference(fof_nnf,[status(thm)],[t79_relat_1]) ).
fof(f_38_2,plain,
! [U_60,U_59] :
( relation_composition(U_59,identity_relation(U_60)) = U_59
| ~ subset(relation_rng(U_59),U_60)
| ~ relation(U_59) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( relation_composition(U_59,identity_relation(U_60)) = U_59
| ~ subset(relation_rng(U_59),U_60)
| ~ relation(U_59) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(t1,plain,
( relation_composition(sK10,identity_relation(relation_rng(sK10))) != sK10
| relation_composition(identity_relation(relation_dom(sK10)),sK10) != sK10 ),
inference(start,[status(thm),parent(0:0)],[f_36_8]) ).
cnf(t2,plain,
( ~ subset(relation_dom(sK10),relation_dom(sK10))
| ~ relation(sK10)
| relation_composition(identity_relation(relation_dom(sK10)),sK10) = sK10 ),
inference(extension,[status(thm),parent(t1:1)],[f_37_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
relation(sK10),
inference(extension,[status(thm),parent(t2:2)],[f_36_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
subset(relation_dom(sK10),relation_dom(sK10)),
inference(extension,[status(thm),parent(t2:3)],[f_22_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ subset(relation_rng(sK10),relation_rng(sK10))
| ~ relation(sK10)
| relation_composition(sK10,identity_relation(relation_rng(sK10))) = sK10 ),
inference(extension,[status(thm),parent(t1:2)],[f_38_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
cnf(t10,plain,
relation(sK10),
inference(extension,[status(thm),parent(t8:2)],[f_36_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
subset(relation_rng(sK10),relation_rng(sK10)),
inference(extension,[status(thm),parent(t8:3)],[f_22_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU010+1 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.09/0.58 % Computer : n017.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Sat Sep 19 23:07:14 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.13/0.67 % SZS status Theorem for theBenchmark
% 0.13/0.67 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------