%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 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 : n007.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 08:17:53 AM UTC 2026
% Result : Theorem 0.14s 5.61s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 9 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just4,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('theBenchmark.p',just4) ).
fof(just6,axiom,
individual(c_tptptptpcol_16_8398),
file('theBenchmark.p',just6) ).
fof(just34,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('theBenchmark.p',just34) ).
fof(query31,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('theBenchmark.p',query31) ).
fof(f_4_1,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(fof_nnf,[status(thm)],[just4]) ).
fof(f_4_2,plain,
! [U_0] :
( ~ individual(U_0)
| ~ collection(U_0) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ individual(U_0)
| ~ collection(U_0) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_6_1,plain,
individual(c_tptptptpcol_16_8398),
inference(fof_nnf,[status(thm)],[just6]) ).
cnf(f_6_2,plain,
individual(c_tptptptpcol_16_8398),
inference(clausify,[status(thm)],[f_6_1]) ).
fof(f_34_1,plain,
! [INS,ARG2] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(fof_nnf,[status(thm)],[just34]) ).
fof(f_34_2,plain,
! [U_55,U_54] :
( collection(U_55)
| ~ disjointwith(U_55,U_54) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
! [U_55] :
( ! [U_54] : ~ disjointwith(U_55,U_54)
| collection(U_55) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
cnf(f_34_4,plain,
( ~ disjointwith(U_55,U_54)
| collection(U_55) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_56_1,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negate,[status(cth)],[query31]) ).
fof(f_56_2,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(definitional_conversion,[status(esa)],[f_56_1]) ).
cnf(f_56_3,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(clausify,[status(thm)],[f_56_2]) ).
cnf(t1,plain,
( ~ individual(c_tptptptpcol_16_8398)
| ~ collection(c_tptptptpcol_16_8398) ),
inference(start,[status(thm),parent(0:0)],[f_4_3]) ).
cnf(t2,plain,
( ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488)
| collection(c_tptptptpcol_16_8398) ),
inference(extension,[status(thm),parent(t1:1)],[f_34_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(extension,[status(thm),parent(t2:2)],[f_56_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
individual(c_tptptptpcol_16_8398),
inference(extension,[status(thm),parent(t1:2)],[f_6_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.10/5.55 % Computer : n007.cluster.edu
% 0.10/5.55 % Model : x86_64 x86_64
% 0.10/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.55 % Memory : 8046.5625MB
% 0.10/5.55 % OS : Linux 6.8.0-71-generic
% 0.10/5.55 % CPULimit : 300
% 0.10/5.55 % WCLimit : 300
% 0.10/5.55 % DateTime : Sun Sep 20 15:45:56 UTC 2026
% 0.10/5.56 % CPUTime :
% 0.14/5.61 % SZS status Theorem for theBenchmark
% 0.14/5.61 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------