%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU047+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 : n015.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 08:57:59 AM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 86 ( 30 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 33 ~; 24 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 24 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t97_funct_1,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) ),
file('theBenchmark.p',t97_funct_1) ).
fof(t129_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ),
file('theBenchmark.p',t129_relat_1) ).
fof(t130_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ),
file('theBenchmark.p',t130_relat_1) ).
fof(f_31_1,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
& relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) ),
inference(negate,[status(cth)],[t97_funct_1]) ).
fof(f_31_2,negated_conjecture,
? [A,B,C] :
( ( relation_rng_restriction(A,relation_rng_restriction(B,C)) != relation_rng_restriction(A,C)
| relation_rng_restriction(B,relation_rng_restriction(A,C)) != relation_rng_restriction(A,C) )
& subset(A,B)
& function(C)
& relation(C) ),
inference(fof_nnf,[status(thm)],[f_31_1]) ).
fof(f_31_3,negated_conjecture,
? [U_49,U_48,U_47] :
( ( relation_rng_restriction(U_49,relation_rng_restriction(U_48,U_47)) != relation_rng_restriction(U_49,U_47)
| relation_rng_restriction(U_48,relation_rng_restriction(U_49,U_47)) != relation_rng_restriction(U_49,U_47) )
& subset(U_49,U_48)
& function(U_47)
& relation(U_47) ),
inference(variable_rename,[status(thm)],[f_31_2]) ).
fof(f_31_4,negated_conjecture,
? [U_48,U_47] :
( ( relation_rng_restriction(sK12,relation_rng_restriction(U_48,U_47)) != relation_rng_restriction(sK12,U_47)
| relation_rng_restriction(U_48,relation_rng_restriction(sK12,U_47)) != relation_rng_restriction(sK12,U_47) )
& subset(sK12,U_48)
& function(U_47)
& relation(U_47) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_49,sK12)],[f_31_3]) ).
fof(f_31_5,negated_conjecture,
? [U_47] :
( ( relation_rng_restriction(sK12,relation_rng_restriction(sK13,U_47)) != relation_rng_restriction(sK12,U_47)
| relation_rng_restriction(sK13,relation_rng_restriction(sK12,U_47)) != relation_rng_restriction(sK12,U_47) )
& subset(sK12,sK13)
& function(U_47)
& relation(U_47) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_48,sK13)],[f_31_4]) ).
fof(f_31_6,negated_conjecture,
( ( relation_rng_restriction(sK12,relation_rng_restriction(sK13,sK14)) != relation_rng_restriction(sK12,sK14)
| relation_rng_restriction(sK13,relation_rng_restriction(sK12,sK14)) != relation_rng_restriction(sK12,sK14) )
& subset(sK12,sK13)
& function(sK14)
& relation(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_47,sK14)],[f_31_5]) ).
fof(f_31_7,negated_conjecture,
( ( relation_rng_restriction(sK12,relation_rng_restriction(sK13,sK14)) != relation_rng_restriction(sK12,sK14)
| relation_rng_restriction(sK13,relation_rng_restriction(sK12,sK14)) != relation_rng_restriction(sK12,sK14) )
& subset(sK12,sK13)
& function(sK14)
& relation(sK14) ),
inference(definitional_conversion,[status(esa)],[f_31_6]) ).
cnf(f_31_8,negated_conjecture,
relation(sK14),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_10,negated_conjecture,
subset(sK12,sK13),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_11,negated_conjecture,
( relation_rng_restriction(sK12,relation_rng_restriction(sK13,sK14)) != relation_rng_restriction(sK12,sK14)
| relation_rng_restriction(sK13,relation_rng_restriction(sK12,sK14)) != relation_rng_restriction(sK12,sK14) ),
inference(clausify,[status(thm)],[f_31_7]) ).
fof(f_32_1,plain,
! [A,B,C] :
( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(fof_nnf,[status(thm)],[t129_relat_1]) ).
fof(f_32_2,plain,
! [U_52,U_51,U_50] :
( relation_rng_restriction(U_51,relation_rng_restriction(U_52,U_50)) = relation_rng_restriction(U_52,U_50)
| ~ subset(U_52,U_51)
| ~ relation(U_50) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( relation_rng_restriction(U_51,relation_rng_restriction(U_52,U_50)) = relation_rng_restriction(U_52,U_50)
| ~ subset(U_52,U_51)
| ~ relation(U_50) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [A,B,C] :
( relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C)
| ~ subset(A,B)
| ~ relation(C) ),
inference(fof_nnf,[status(thm)],[t130_relat_1]) ).
fof(f_33_2,plain,
! [U_55,U_54,U_53] :
( relation_rng_restriction(U_55,relation_rng_restriction(U_54,U_53)) = relation_rng_restriction(U_55,U_53)
| ~ subset(U_55,U_54)
| ~ relation(U_53) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( relation_rng_restriction(U_55,relation_rng_restriction(U_54,U_53)) = relation_rng_restriction(U_55,U_53)
| ~ subset(U_55,U_54)
| ~ relation(U_53) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(t1,plain,
( relation_rng_restriction(sK12,relation_rng_restriction(sK13,sK14)) != relation_rng_restriction(sK12,sK14)
| relation_rng_restriction(sK13,relation_rng_restriction(sK12,sK14)) != relation_rng_restriction(sK12,sK14) ),
inference(start,[status(thm),parent(0:0)],[f_31_11]) ).
cnf(t2,plain,
( ~ subset(sK12,sK13)
| ~ relation(sK14)
| relation_rng_restriction(sK13,relation_rng_restriction(sK12,sK14)) = relation_rng_restriction(sK12,sK14) ),
inference(extension,[status(thm),parent(t1:1)],[f_32_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
relation(sK14),
inference(extension,[status(thm),parent(t2:2)],[f_31_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
subset(sK12,sK13),
inference(extension,[status(thm),parent(t2:3)],[f_31_10]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ subset(sK12,sK13)
| ~ relation(sK14)
| relation_rng_restriction(sK12,relation_rng_restriction(sK13,sK14)) = relation_rng_restriction(sK12,sK14) ),
inference(extension,[status(thm),parent(t1:2)],[f_33_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
cnf(t10,plain,
relation(sK14),
inference(extension,[status(thm),parent(t8:2)],[f_31_8]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
subset(sK12,sK13),
inference(extension,[status(thm),parent(t8:3)],[f_31_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU047+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 23:17:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.41 % SZS status Theorem for theBenchmark
% 0.10/0.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------