%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN039-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n011.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 09:09:16 AM UTC 2026
% Result : Unsatisfiable 58.36s 58.66s
% Output : Proof 58.36s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_1,negated_conjecture,
( ~ q(X1,f1(X,X1))
| ~ s(X,f1(X,X1))
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_1) ).
cnf(c_2,negated_conjecture,
( q(f1(X,X1),Z1)
| ~ s(X,f1(X,X1))
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_2) ).
cnf(c_3,negated_conjecture,
( ~ s(X1,X1)
| ~ s(X,f1(X,X1))
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_3) ).
cnf(c_4,negated_conjecture,
( ~ q(X1,f1(X,X1))
| s(f1(X,X1),Z)
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_4) ).
cnf(c_5,negated_conjecture,
( q(f1(X,X1),Z1)
| s(f1(X,X1),Z)
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_5) ).
cnf(c_6,negated_conjecture,
( ~ s(X1,X1)
| s(f1(X,X1),Z)
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_6) ).
cnf(c_7,negated_conjecture,
( ~ q(X1,f1(X,X1))
| ~ q(Z1,Z1)
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_7) ).
cnf(c_8,negated_conjecture,
( q(f1(X,X1),Z1)
| ~ q(Z1,Z1)
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_8) ).
cnf(c_9,negated_conjecture,
( ~ s(X1,X1)
| ~ q(Z1,Z1)
| p(f1(X,X1),f1(X,X1)) ),
file('theBenchmark.p',c_9) ).
cnf(c_10,negated_conjecture,
( ~ q(X1,f1(X,X1))
| ~ s(X,f1(X,X1))
| ~ p(X,X) ),
file('theBenchmark.p',c_10) ).
cnf(c_11,negated_conjecture,
( q(f1(X,X1),Z1)
| ~ s(X,f1(X,X1))
| ~ p(X,X) ),
file('theBenchmark.p',c_11) ).
cnf(c_12,negated_conjecture,
( ~ s(X1,X1)
| ~ s(X,f1(X,X1))
| ~ p(X,X) ),
file('theBenchmark.p',c_12) ).
cnf(c_13,negated_conjecture,
( ~ q(X1,f1(X,X1))
| s(f1(X,X1),Z)
| ~ p(X,X) ),
file('theBenchmark.p',c_13) ).
cnf(c_14,negated_conjecture,
( q(f1(X,X1),Z1)
| s(f1(X,X1),Z)
| ~ p(X,X) ),
file('theBenchmark.p',c_14) ).
cnf(c_15,negated_conjecture,
( ~ s(X1,X1)
| s(f1(X,X1),Z)
| ~ p(X,X) ),
file('theBenchmark.p',c_15) ).
cnf(c_16,negated_conjecture,
( ~ q(X1,f1(X,X1))
| ~ q(Z1,Z1)
| ~ p(X,X) ),
file('theBenchmark.p',c_16) ).
cnf(c_17,negated_conjecture,
( q(f1(X,X1),Z1)
| ~ q(Z1,Z1)
| ~ p(X,X) ),
file('theBenchmark.p',c_17) ).
cnf(c_18,negated_conjecture,
( ~ s(X1,X1)
| ~ q(Z1,Z1)
| ~ p(X,X) ),
file('theBenchmark.p',c_18) ).
cnf(c_19,negated_conjecture,
( ~ q(X1,f1(X,X1))
| ~ s(X,f1(X,X1))
| s(Z,X) ),
file('theBenchmark.p',c_19) ).
cnf(c_20,negated_conjecture,
( q(f1(X,X1),Z1)
| ~ s(X,f1(X,X1))
| s(Z,X) ),
file('theBenchmark.p',c_20) ).
cnf(c_21,negated_conjecture,
( ~ s(X1,X1)
| ~ s(X,f1(X,X1))
| s(Z,X) ),
file('theBenchmark.p',c_21) ).
cnf(c_22,negated_conjecture,
( ~ q(X1,f1(X,X1))
| s(f1(X,X1),Z)
| s(Z,X) ),
file('theBenchmark.p',c_22) ).
cnf(c_23,negated_conjecture,
( q(f1(X,X1),Z1)
| s(f1(X,X1),Z)
| s(Z,X) ),
file('theBenchmark.p',c_23) ).
cnf(c_24,negated_conjecture,
( ~ s(X1,X1)
| s(f1(X,X1),Z)
| s(Z,X) ),
file('theBenchmark.p',c_24) ).
cnf(c_25,negated_conjecture,
( ~ q(X1,f1(X,X1))
| ~ q(Z1,Z1)
| s(Z,X) ),
file('theBenchmark.p',c_25) ).
cnf(c_26,negated_conjecture,
( q(f1(X,X1),Z1)
| ~ q(Z1,Z1)
| s(Z,X) ),
file('theBenchmark.p',c_26) ).
cnf(c_27,negated_conjecture,
( ~ s(X1,X1)
| ~ q(Z1,Z1)
| s(Z,X) ),
file('theBenchmark.p',c_27) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN039-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 06:22:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 58.36/58.66 % SZS status Unsatisfiable for theBenchmark
% 58.36/58.66 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------