%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU041+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 : n008.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 08:57:58 AM UTC 2026
% Result : Theorem 0.12s 0.43s
% Output : Proof 0.12s
% 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(t82_funct_1,conjecture,
! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ) ),
file('theBenchmark.p',t82_funct_1) ).
fof(t102_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ),
file('theBenchmark.p',t102_relat_1) ).
fof(t103_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( subset(A,B)
=> relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A) ) ),
file('theBenchmark.p',t103_relat_1) ).
fof(f_32_1,negated_conjecture,
~ ! [A,B,C] :
( ( function(C)
& relation(C) )
=> ( subset(A,B)
=> ( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
& relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A) ) ) ),
inference(negate,[status(cth)],[t82_funct_1]) ).
fof(f_32_2,negated_conjecture,
? [A,B,C] :
( ( relation_dom_restriction(relation_dom_restriction(C,B),A) != relation_dom_restriction(C,A)
| relation_dom_restriction(relation_dom_restriction(C,A),B) != relation_dom_restriction(C,A) )
& subset(A,B)
& function(C)
& relation(C) ),
inference(fof_nnf,[status(thm)],[f_32_1]) ).
fof(f_32_3,negated_conjecture,
? [U_55,U_54,U_53] :
( ( relation_dom_restriction(relation_dom_restriction(U_53,U_54),U_55) != relation_dom_restriction(U_53,U_55)
| relation_dom_restriction(relation_dom_restriction(U_53,U_55),U_54) != relation_dom_restriction(U_53,U_55) )
& subset(U_55,U_54)
& function(U_53)
& relation(U_53) ),
inference(variable_rename,[status(thm)],[f_32_2]) ).
fof(f_32_4,negated_conjecture,
? [U_54,U_53] :
( ( relation_dom_restriction(relation_dom_restriction(U_53,U_54),sK12) != relation_dom_restriction(U_53,sK12)
| relation_dom_restriction(relation_dom_restriction(U_53,sK12),U_54) != relation_dom_restriction(U_53,sK12) )
& subset(sK12,U_54)
& function(U_53)
& relation(U_53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_55,sK12)],[f_32_3]) ).
fof(f_32_5,negated_conjecture,
? [U_53] :
( ( relation_dom_restriction(relation_dom_restriction(U_53,sK13),sK12) != relation_dom_restriction(U_53,sK12)
| relation_dom_restriction(relation_dom_restriction(U_53,sK12),sK13) != relation_dom_restriction(U_53,sK12) )
& subset(sK12,sK13)
& function(U_53)
& relation(U_53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_54,sK13)],[f_32_4]) ).
fof(f_32_6,negated_conjecture,
( ( relation_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) != relation_dom_restriction(sK14,sK12)
| relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) != relation_dom_restriction(sK14,sK12) )
& subset(sK12,sK13)
& function(sK14)
& relation(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_53,sK14)],[f_32_5]) ).
fof(f_32_7,negated_conjecture,
( ( relation_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) != relation_dom_restriction(sK14,sK12)
| relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) != relation_dom_restriction(sK14,sK12) )
& subset(sK12,sK13)
& function(sK14)
& relation(sK14) ),
inference(definitional_conversion,[status(esa)],[f_32_6]) ).
cnf(f_32_8,negated_conjecture,
relation(sK14),
inference(clausify,[status(thm)],[f_32_7]) ).
cnf(f_32_10,negated_conjecture,
subset(sK12,sK13),
inference(clausify,[status(thm)],[f_32_7]) ).
cnf(f_32_11,negated_conjecture,
( relation_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) != relation_dom_restriction(sK14,sK12)
| relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) != relation_dom_restriction(sK14,sK12) ),
inference(clausify,[status(thm)],[f_32_7]) ).
fof(f_33_1,plain,
! [A,B,C] :
( relation_dom_restriction(relation_dom_restriction(C,A),B) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(fof_nnf,[status(thm)],[t102_relat_1]) ).
fof(f_33_2,plain,
! [U_58,U_57,U_56] :
( relation_dom_restriction(relation_dom_restriction(U_56,U_58),U_57) = relation_dom_restriction(U_56,U_58)
| ~ subset(U_58,U_57)
| ~ relation(U_56) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( relation_dom_restriction(relation_dom_restriction(U_56,U_58),U_57) = relation_dom_restriction(U_56,U_58)
| ~ subset(U_58,U_57)
| ~ relation(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A,B,C] :
( relation_dom_restriction(relation_dom_restriction(C,B),A) = relation_dom_restriction(C,A)
| ~ subset(A,B)
| ~ relation(C) ),
inference(fof_nnf,[status(thm)],[t103_relat_1]) ).
fof(f_34_2,plain,
! [U_61,U_60,U_59] :
( relation_dom_restriction(relation_dom_restriction(U_59,U_60),U_61) = relation_dom_restriction(U_59,U_61)
| ~ subset(U_61,U_60)
| ~ relation(U_59) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( relation_dom_restriction(relation_dom_restriction(U_59,U_60),U_61) = relation_dom_restriction(U_59,U_61)
| ~ subset(U_61,U_60)
| ~ relation(U_59) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(t1,plain,
( relation_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) != relation_dom_restriction(sK14,sK12)
| relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) != relation_dom_restriction(sK14,sK12) ),
inference(start,[status(thm),parent(0:0)],[f_32_11]) ).
cnf(t2,plain,
( ~ subset(sK12,sK13)
| ~ relation(sK14)
| relation_dom_restriction(relation_dom_restriction(sK14,sK12),sK13) = relation_dom_restriction(sK14,sK12) ),
inference(extension,[status(thm),parent(t1:1)],[f_33_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_32_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_32_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_dom_restriction(relation_dom_restriction(sK14,sK13),sK12) = relation_dom_restriction(sK14,sK12) ),
inference(extension,[status(thm),parent(t1:2)],[f_34_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_32_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_32_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU041+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
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 19 23:14:38 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.43 % SZS status Theorem for theBenchmark
% 0.12/0.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------