%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n005.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 09:09:19 AM UTC 2026
% Result : Theorem 0.08s 5.37s
% Output : Proof 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel24_1,axiom,
~ ? [X] :
( big_q(X)
& big_s(X) ),
file('theBenchmark.p',pel24_1) ).
fof(pel24_2,axiom,
! [X] :
( big_p(X)
=> ( big_r(X)
| big_q(X) ) ),
file('theBenchmark.p',pel24_2) ).
fof(pel24_3,axiom,
( ~ ? [X] : big_p(X)
=> ? [Y] : big_q(Y) ),
file('theBenchmark.p',pel24_3) ).
fof(pel24_4,axiom,
! [X] :
( ( big_r(X)
| big_q(X) )
=> big_s(X) ),
file('theBenchmark.p',pel24_4) ).
fof(pel24,conjecture,
? [X] :
( big_r(X)
& big_p(X) ),
file('theBenchmark.p',pel24) ).
fof(f_1_1,plain,
! [X] :
( ~ big_q(X)
| ~ big_s(X) ),
inference(fof_nnf,[status(thm)],[pel24_1]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ big_q(U_0)
| ~ big_s(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( ~ big_q(U_0)
| ~ big_s(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X] :
( big_r(X)
| big_q(X)
| ~ big_p(X) ),
inference(fof_nnf,[status(thm)],[pel24_2]) ).
fof(f_2_2,plain,
! [U_1] :
( big_r(U_1)
| big_q(U_1)
| ~ big_p(U_1) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( big_r(U_1)
| big_q(U_1)
| ~ big_p(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
( ? [Y] : big_q(Y)
| ? [X] : big_p(X) ),
inference(fof_nnf,[status(thm)],[pel24_3]) ).
fof(f_3_2,plain,
( ? [U_3] : big_q(U_3)
| ? [U_2] : big_p(U_2) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ? [U_3] : big_q(U_3)
| big_p(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_3_2]) ).
fof(f_3_4,plain,
( big_q(sK2)
| big_p(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2)],[f_3_3]) ).
cnf(f_3_5,plain,
( big_q(sK2)
| big_p(sK1) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X] :
( big_s(X)
| ( ~ big_r(X)
& ~ big_q(X) ) ),
inference(fof_nnf,[status(thm)],[pel24_4]) ).
fof(f_4_2,plain,
! [U_4] :
( big_s(U_4)
| ( ~ big_r(U_4)
& ~ big_q(U_4) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ big_q(U_4)
| big_s(U_4) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( ~ big_r(U_4)
| big_s(U_4) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,negated_conjecture,
~ ? [X] :
( big_r(X)
& big_p(X) ),
inference(negate,[status(cth)],[pel24]) ).
fof(f_5_2,negated_conjecture,
! [X] :
( ~ big_r(X)
| ~ big_p(X) ),
inference(fof_nnf,[status(thm)],[f_5_1]) ).
fof(f_5_3,negated_conjecture,
! [U_5] :
( ~ big_r(U_5)
| ~ big_p(U_5) ),
inference(variable_rename,[status(thm)],[f_5_2]) ).
fof(f_5_4,negated_conjecture,
! [U_5] :
( ~ big_r(U_5)
| ~ big_p(U_5) ),
inference(definitional_conversion,[status(esa)],[f_5_3]) ).
cnf(f_5_5,negated_conjecture,
( ~ big_r(U_5)
| ~ big_p(U_5) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN054+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.08/5.34 % Computer : n005.cluster.edu
% 0.08/5.34 % Model : x86_64 x86_64
% 0.08/5.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.34 % Memory : 8046.5625MB
% 0.08/5.34 % OS : Linux 6.8.0-71-generic
% 0.08/5.34 % CPULimit : 300
% 0.08/5.34 % WCLimit : 300
% 0.08/5.34 % DateTime : Sun Sep 20 06:23:24 UTC 2026
% 0.08/5.35 % CPUTime :
% 0.08/5.37 % SZS status Theorem for theBenchmark
% 0.08/5.37 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------