%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n002.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 09:11:15 AM UTC 2026
% Result : Theorem 0.03s 0.38s
% Output : Proof 0.03s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [A] :
? [X,X2,X3,X4,Y] :
( ( ( s(A,Y)
=> p(Y) )
& ( e(X2)
=> ( c(f(X2))
| g(X2) ) )
& ( e(X)
=> ( s(X,f(X))
| g(X) ) )
& e(A)
& p(A) )
=> ( ( c(X4)
& p(X4) )
| ( g(X3)
& p(X3) ) ) ),
file('theBenchmark.p',prove_this) ).
fof(f_1_1,negated_conjecture,
~ ! [A] :
? [X,X2,X3,X4,Y] :
( ( ( s(A,Y)
=> p(Y) )
& ( e(X2)
=> ( c(f(X2))
| g(X2) ) )
& ( e(X)
=> ( s(X,f(X))
| g(X) ) )
& e(A)
& p(A) )
=> ( ( c(X4)
& p(X4) )
| ( g(X3)
& p(X3) ) ) ),
inference(negate,[status(cth)],[prove_this]) ).
fof(f_1_2,negated_conjecture,
? [A] :
! [X,X2,X3,X4,Y] :
( ( ~ c(X4)
| ~ p(X4) )
& ( ~ g(X3)
| ~ p(X3) )
& ( p(Y)
| ~ s(A,Y) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X,f(X))
| g(X)
| ~ e(X) )
& e(A)
& p(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_5] :
! [U_4,U_3,U_2,U_1,U_0] :
( ( ~ c(U_1)
| ~ p(U_1) )
& ( ~ g(U_2)
| ~ p(U_2) )
& ( p(U_0)
| ~ s(U_5,U_0) )
& ( c(f(U_3))
| g(U_3)
| ~ e(U_3) )
& ( s(U_4,f(U_4))
| g(U_4)
| ~ e(U_4) )
& e(U_5)
& p(U_5) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_5] :
( ! [U_0] :
( p(U_0)
| ~ s(U_5,U_0) )
& e(U_5)
& p(U_5) )
& ! [U_4] :
( s(U_4,f(U_4))
| g(U_4)
| ~ e(U_4) )
& ! [U_3] :
( c(f(U_3))
| g(U_3)
| ~ e(U_3) )
& ! [U_2] :
( ~ g(U_2)
| ~ p(U_2) )
& ! [U_1] :
( ~ c(U_1)
| ~ p(U_1) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_0] :
( p(U_0)
| ~ s(sK1,U_0) )
& e(sK1)
& p(sK1)
& ! [U_4] :
( s(U_4,f(U_4))
| g(U_4)
| ~ e(U_4) )
& ! [U_3] :
( c(f(U_3))
| g(U_3)
| ~ e(U_3) )
& ! [U_2] :
( ~ g(U_2)
| ~ p(U_2) )
& ! [U_1] :
( ~ c(U_1)
| ~ p(U_1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_5,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_0] :
( p(U_0)
| ~ s(sK1,U_0) )
& e(sK1)
& p(sK1)
& ! [U_4] :
( s(U_4,f(U_4))
| g(U_4)
| ~ e(U_4) )
& ! [U_3] :
( c(f(U_3))
| g(U_3)
| ~ e(U_3) )
& ! [U_2] :
( ~ g(U_2)
| ~ p(U_2) )
& ! [U_1] :
( ~ c(U_1)
| ~ p(U_1) ) ),
inference(definitional_conversion,[status(esa)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
( ~ c(U_1)
| ~ p(U_1) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
( ~ g(U_2)
| ~ p(U_2) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
( c(f(U_3))
| g(U_3)
| ~ e(U_3) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_10,negated_conjecture,
( s(U_4,f(U_4))
| g(U_4)
| ~ e(U_4) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_11,negated_conjecture,
p(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_12,negated_conjecture,
e(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_13,negated_conjecture,
( p(U_0)
| ~ s(sK1,U_0) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN943+1 : TPTP v9.3.1. Released v3.1.0.
% 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
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 07:31:46 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.38 % SZS status Theorem for theBenchmark
% 0.03/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------