%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO504+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 01:18:04 PM UTC 2026
% Result : Theorem 50.22s 11.51s
% Output : Proof 50.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 18 unt; 0 def)
% Number of atoms : 72 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 27 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 72 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,axiom,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f98_nnf,plain,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp,
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c112,plain,
s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
fof(f103,axiom,
! [Xp,Xq,Xa] : s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_13) ).
fof(f103_nnf,plain,
! [Xp,Xq,Xa] : s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)),
inference(nnf_transformation,[status(thm)],[f103]) ).
fof(f103_sk,plain,
! [Xp,Xq,Xa] : s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq)),
inference(skolemisation,[status(esa)],[f103_nnf]) ).
cnf(c117,plain,
s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[status(esa)],[f103_sk]) ).
fof(f1,axiom,
! [X,Y,Z,V,Z2,V2] :
( s_e(Z,V,Z2,V2)
| ~ s_e(X,Y,Z2,V2)
| ~ s_e(X,Y,Z,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA2) ).
fof(f1_nnf,plain,
! [X,Y,Z,V,Z2,V2] :
( s_e(Z,V,Z2,V2)
| ~ s_e(X,Y,Z2,V2)
| ~ s_e(X,Y,Z,V) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y,Z,V,Z2,V2] :
( s_e(Z,V,Z2,V2)
| ~ s_e(X,Y,Z2,V2)
| ~ s_e(X,Y,Z,V) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p221,plain,
( s_e(s(X4,X0),s(X4,X1),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c117,c1]) ).
fof(f128,axiom,
! [Xa,Xb,Xc] :
( ( ~ s_e(Xa,Xc,Xa,s(Xb,Xc))
| s_r(Xa,Xb,Xc) )
& ( s_e(Xa,Xc,Xa,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(f128_nnf,plain,
! [Xa,Xb,Xc] :
( ( ~ s_e(Xa,Xc,Xa,s(Xb,Xc))
| s_r(Xa,Xb,Xc) )
& ( s_e(Xa,Xc,Xa,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ) ),
inference(nnf_transformation,[status(thm)],[f128]) ).
fof(f128_sk,plain,
! [Xa,Xb,Xc] :
( ( ~ s_e(Xa,Xc,Xa,s(Xb,Xc))
| s_r(Xa,Xb,Xc) )
& ( s_e(Xa,Xc,Xa,s(Xb,Xc))
| ~ s_r(Xa,Xb,Xc) ) ),
inference(skolemisation,[status(esa)],[f128_nnf]) ).
cnf(c179,plain,
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f128_sk]) ).
fof(f117,conjecture,
! [Xa,Xb,Xc] :
( s_r(Xc,Xb,Xa)
| ~ s_r(Xa,Xb,Xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2) ).
fof(f117_neg,negated_conjecture,
~ ! [Xa,Xb,Xc] :
( s_r(Xc,Xb,Xa)
| ~ s_r(Xa,Xb,Xc) ),
inference(negated_conjecture,[status(cth)],[f117]) ).
fof(f117_nnf,plain,
? [Xa,Xb,Xc] :
( ~ s_r(Xc,Xb,Xa)
& s_r(Xa,Xb,Xc) ),
inference(nnf_transformation,[status(thm)],[f117_neg]) ).
fof(f117_sk,plain,
( ~ s_r(sk2,sk1,sk0)
& s_r(sk0,sk1,sk2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f117_nnf]) ).
cnf(c131,plain,
s_r(sk0,sk1,sk2),
inference(cnf_transformation,[status(esa)],[f117_sk]) ).
cnf(p6694,plain,
s_e(sk0,sk2,sk0,s(sk1,sk2)),
inference(resolution,[status(thm)],[c179,c131]) ).
fof(f9,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xc,Xd,Xa,Xb)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f9_nnf,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xc,Xd,Xa,Xb)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xc,Xd,Xa,Xb)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c13,plain,
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p6697,plain,
s_e(sk0,s(sk1,sk2),sk0,sk2),
inference(resolution,[status(thm)],[p6694,c13]) ).
cnf(p9722,plain,
s_e(s(X0,sk0),s(X0,s(sk1,sk2)),sk0,sk2),
inference(resolution,[status(thm)],[p221,p6697]) ).
cnf(p11093,plain,
s_e(s(sk1,sk0),sk2,sk0,sk2),
inference(superposition,[status(thm)],[c112,p9722]) ).
cnf(p11184,plain,
s_e(sk0,sk2,s(sk1,sk0),sk2),
inference(resolution,[status(thm)],[p11093,c13]) ).
fof(f17,axiom,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f17_nnf,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [Xa,Xb,Xc,Xd] :
( s_e(Xb,Xa,Xd,Xc)
| ~ s_e(Xa,Xb,Xc,Xd) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c21,plain,
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p11203,plain,
s_e(sk2,sk0,sk2,s(sk1,sk0)),
inference(resolution,[status(thm)],[p11184,c21]) ).
cnf(c180,plain,
( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f128_sk]) ).
cnf(p11280,plain,
s_r(sk2,sk1,sk0),
inference(resolution,[status(thm)],[p11203,c180]) ).
cnf(c132,plain,
~ s_r(sk2,sk1,sk0),
inference(cnf_transformation,[status(esa)],[f117_sk]) ).
cnf(p11285,plain,
$false,
inference(resolution,[status(thm)],[p11280,c132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO504+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 12:17:03 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 50.22/11.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.22/11.51 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------