%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 08:58:46 AM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 21 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 80 ( 32 ~; 22 |; 18 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 70 ( 5 sgn 45 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(t12_relset_1,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) ) ),
file('theBenchmark.p',t12_relset_1) ).
fof(t14_relset_1,axiom,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('theBenchmark.p',t14_relset_1) ).
fof(t16_relset_1,conjecture,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
file('theBenchmark.p',t16_relset_1) ).
fof(t1_xboole_1,axiom,
! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
file('theBenchmark.p',t1_xboole_1) ).
fof(f_13_1,plain,
! [A,B] : subset(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_13_2,plain,
! [U_24,U_23] : subset(U_24,U_24),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_24] : subset(U_24,U_24),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
subset(U_24,U_24),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(fof_nnf,[status(thm)],[t12_relset_1]) ).
fof(f_14_2,plain,
! [U_27,U_26,U_25] :
( ( subset(relation_rng(U_25),U_26)
& subset(relation_dom(U_25),U_27) )
| ~ relation_of2_as_subset(U_25,U_27,U_26) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_4,plain,
( subset(relation_rng(U_25),U_26)
| ~ relation_of2_as_subset(U_25,U_27,U_26) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,B)
| ~ subset(relation_rng(D),B)
| ~ relation_of2_as_subset(D,C,A) ),
inference(fof_nnf,[status(thm)],[t14_relset_1]) ).
fof(f_15_2,plain,
! [U_31,U_30,U_29,U_28] :
( relation_of2_as_subset(U_28,U_29,U_30)
| ~ subset(relation_rng(U_28),U_30)
| ~ relation_of2_as_subset(U_28,U_29,U_31) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( relation_of2_as_subset(U_28,U_29,U_30)
| ~ subset(relation_rng(U_28),U_30)
| ~ relation_of2_as_subset(U_28,U_29,U_31) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,negated_conjecture,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(negate,[status(cth)],[t16_relset_1]) ).
fof(f_16_2,negated_conjecture,
? [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,B)
& subset(A,B)
& relation_of2_as_subset(D,C,A) ),
inference(fof_nnf,[status(thm)],[f_16_1]) ).
fof(f_16_3,negated_conjecture,
? [U_35,U_34,U_33,U_32] :
( ~ relation_of2_as_subset(U_32,U_33,U_34)
& subset(U_35,U_34)
& relation_of2_as_subset(U_32,U_33,U_35) ),
inference(variable_rename,[status(thm)],[f_16_2]) ).
fof(f_16_4,negated_conjecture,
? [U_34,U_33,U_32] :
( ~ relation_of2_as_subset(U_32,U_33,U_34)
& subset(sK4,U_34)
& relation_of2_as_subset(U_32,U_33,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_35,sK4)],[f_16_3]) ).
fof(f_16_5,negated_conjecture,
? [U_33,U_32] :
( ~ relation_of2_as_subset(U_32,U_33,sK5)
& subset(sK4,sK5)
& relation_of2_as_subset(U_32,U_33,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_34,sK5)],[f_16_4]) ).
fof(f_16_6,negated_conjecture,
? [U_32] :
( ~ relation_of2_as_subset(U_32,sK6,sK5)
& subset(sK4,sK5)
& relation_of2_as_subset(U_32,sK6,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_33,sK6)],[f_16_5]) ).
fof(f_16_7,negated_conjecture,
( ~ relation_of2_as_subset(sK7,sK6,sK5)
& subset(sK4,sK5)
& relation_of2_as_subset(sK7,sK6,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_32,sK7)],[f_16_6]) ).
fof(f_16_8,negated_conjecture,
( ~ relation_of2_as_subset(sK7,sK6,sK5)
& subset(sK4,sK5)
& relation_of2_as_subset(sK7,sK6,sK4) ),
inference(definitional_conversion,[status(esa)],[f_16_7]) ).
cnf(f_16_9,negated_conjecture,
relation_of2_as_subset(sK7,sK6,sK4),
inference(clausify,[status(thm)],[f_16_8]) ).
cnf(f_16_10,negated_conjecture,
subset(sK4,sK5),
inference(clausify,[status(thm)],[f_16_8]) ).
cnf(f_16_11,negated_conjecture,
~ relation_of2_as_subset(sK7,sK6,sK5),
inference(clausify,[status(thm)],[f_16_8]) ).
fof(f_17_1,plain,
! [A,B,C] :
( subset(A,C)
| ~ subset(B,C)
| ~ subset(A,B) ),
inference(fof_nnf,[status(thm)],[t1_xboole_1]) ).
fof(f_17_2,plain,
! [U_38,U_37,U_36] :
( subset(U_38,U_36)
| ~ subset(U_37,U_36)
| ~ subset(U_38,U_37) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( subset(U_38,U_36)
| ~ subset(U_37,U_36)
| ~ subset(U_38,U_37) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(t1,plain,
~ relation_of2_as_subset(sK7,sK6,sK5),
inference(start,[status(thm),parent(0:0)],[f_16_11]) ).
cnf(t2,plain,
( ~ subset(relation_rng(sK7),sK5)
| ~ relation_of2_as_subset(sK7,sK6,sK4)
| relation_of2_as_subset(sK7,sK6,sK5) ),
inference(extension,[status(thm),parent(t1:1)],[f_15_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
relation_of2_as_subset(sK7,sK6,sK4),
inference(extension,[status(thm),parent(t2:2)],[f_16_9]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ subset(sK4,sK5)
| ~ subset(relation_rng(sK7),sK4)
| subset(relation_rng(sK7),sK5) ),
inference(extension,[status(thm),parent(t2:3)],[f_17_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ relation_of2_as_subset(sK7,sK6,sK4)
| subset(relation_rng(sK7),sK4) ),
inference(extension,[status(thm),parent(t6:2)],[f_14_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
relation_of2_as_subset(sK7,sK6,sK4),
inference(extension,[status(thm),parent(t8:2)],[f_16_9]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ subset(sK5,sK5)
| ~ subset(sK4,sK5)
| subset(sK4,sK5) ),
inference(extension,[status(thm),parent(t6:3)],[f_17_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
subset(sK4,sK5),
inference(extension,[status(thm),parent(t12:2)],[f_16_10]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
subset(sK5,sK5),
inference(extension,[status(thm),parent(t12:3)],[f_13_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 23:44:41 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.11/0.39 % SZS status Theorem for theBenchmark
% 0.11/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------