%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO093-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -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 12:24:03 PM UTC 2026
% Result : Unsatisfiable 3.96s 1.05s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 67 ( 17 unt; 0 def)
% Number of atoms : 149 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 134 ( 52 ~; 82 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 133 ( 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( incident_c(C,B)
| ~ incident_c(C,A)
| ~ part_of(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( part_of(A,B)
| incident_c(ax0_sk1(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( part_of(A,B)
| ~ incident_c(ax0_sk1(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] :
( incident_c(D,C)
| incident_c(D,B)
| ~ incident_c(D,A)
| A != sum(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( incident_c(D,A)
| ~ incident_c(D,B)
| A != sum(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] :
( incident_c(D,A)
| ~ incident_c(D,C)
| A != sum(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] :
( C = sum(B,A)
| incident_c(ax0_sk2(A,B,C),A)
| incident_c(ax0_sk2(A,B,C),B)
| incident_c(ax0_sk2(A,B,C),C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C] :
( C = sum(B,A)
| ~ incident_c(ax0_sk2(A,B,C),C)
| ~ incident_c(ax0_sk2(A,B,C),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B] :
( open(A)
| A = B
| ~ part_of(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
~ open(sum(sk15,sk16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,plain,
! [B,C] :
( incident_c(C,B)
| ! [A] :
( ~ incident_c(C,A)
| ~ part_of(A,B) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f55,plain,
! [X0,X1,X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
! [C,D] :
( incident_c(D,C)
| ! [B] :
( incident_c(D,B)
| ! [A] :
( ~ incident_c(D,A)
| A != sum(B,C) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0)
| X0 != sum(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [A,D] :
( incident_c(D,A)
| ! [B] :
( ~ incident_c(D,B)
| ! [C] : A != sum(B,C) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| X0 != sum(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [A,D] :
( incident_c(D,A)
| ! [C] :
( ~ incident_c(D,C)
| ! [B] : A != sum(B,C) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X2)
| X0 != sum(X1,X2) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( X2 = sum(X1,X0)
| incident_c(ax0_sk2(X0,X1,X2),X0)
| incident_c(ax0_sk2(X0,X1,X2),X1)
| incident_c(ax0_sk2(X0,X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f69,plain,
! [X0,X1,X2] :
( X2 = sum(X1,X0)
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| ~ incident_c(ax0_sk2(X0,X1,X2),X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f99,plain,
! [A] :
( open(A)
| ! [B] :
( A = B
| ~ part_of(A,B) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f100,plain,
! [X0,X1] :
( open(X0)
| X0 = X1
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f118,plain,
open(sk14),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f119,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f120,plain,
part_of(sk16,sk14),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f122,plain,
~ open(sum(sk15,sk16)),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f123,plain,
! [X0,X1,X2] :
( incident_c(X0,X2)
| incident_c(X0,X1)
| ~ incident_c(X0,sum(X1,X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f59]) ).
fof(f124,plain,
! [X0,X1,X2] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f61]) ).
fof(f125,plain,
! [X0,X1,X2] :
( incident_c(X0,sum(X2,X1))
| ~ incident_c(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f63]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ incident_c(X0,X3)
| ~ part_of(X3,sum(X1,X2))
| incident_c(X0,X2)
| incident_c(X0,X1) ),
inference(resolution,[status(thm)],[f123,f55]) ).
fof(f137,plain,
! [X0,X1,X2] :
( incident_c(ax0_sk1(sum(X0,X1),X2),X1)
| incident_c(ax0_sk1(sum(X0,X1),X2),X0)
| part_of(sum(X0,X1),X2) ),
inference(resolution,[status(thm)],[f56,f123]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ incident_c(ax0_sk1(X0,X1),X2)
| ~ part_of(X2,X1)
| part_of(X0,X1) ),
inference(resolution,[status(thm)],[f57,f55]) ).
fof(f141,plain,
! [X0,X1,X2] :
( part_of(X0,sum(X1,X2))
| ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1) ),
inference(resolution,[status(thm)],[f124,f57]) ).
fof(f146,plain,
! [X0,X1,X2] :
( part_of(X0,sum(X1,X2))
| ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2) ),
inference(resolution,[status(thm)],[f125,f57]) ).
fof(f148,plain,
! [X0] :
( ~ incident_c(ax0_sk1(X0,sk14),sk16)
| part_of(X0,sk14) ),
inference(resolution,[status(thm)],[f139,f120]) ).
fof(f149,plain,
! [X0] :
( ~ incident_c(ax0_sk1(X0,sk14),sk15)
| part_of(X0,sk14) ),
inference(resolution,[status(thm)],[f139,f119]) ).
fof(f166,plain,
! [X0] :
( X0 = sum(X0,X0)
| incident_c(ax0_sk2(X0,X0,X0),X0) ),
inference(factoring,[status(thm)],[f64]) ).
fof(f301,plain,
! [X0] :
( X0 = sum(X0,X0)
| ~ incident_c(ax0_sk2(X0,X0,X0),X0)
| X0 = sum(X0,X0) ),
inference(resolution,[status(thm)],[f166,f69]) ).
fof(f304,plain,
! [X0] :
( ~ incident_c(ax0_sk2(X0,X0,X0),X0)
| X0 = sum(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f301]) ).
fof(f305,plain,
! [X0] : X0 = sum(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f304,f166]) ).
fof(f422,plain,
! [X0,X1] :
( part_of(sum(X0,X0),sum(X0,X1))
| part_of(sum(X0,X0),sum(X0,X1)) ),
inference(resolution,[status(thm)],[f141,f137]) ).
fof(f431,plain,
! [X0,X1] :
( part_of(sum(X0,X0),sum(X0,X1))
| part_of(X0,sum(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f305,f422]) ).
fof(f432,plain,
! [X0,X1] :
( part_of(X0,sum(X0,X1))
| part_of(X0,sum(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f305,f431]) ).
fof(f433,plain,
! [X0,X1] : part_of(X0,sum(X0,X1)),
inference(duplicate_literals_removal,[status(thm)],[f432]) ).
fof(f441,plain,
! [X0,X1] :
( part_of(sum(X0,X0),sum(X1,X0))
| part_of(sum(X0,X0),sum(X1,X0)) ),
inference(resolution,[status(thm)],[f146,f137]) ).
fof(f450,plain,
! [X0,X1] :
( part_of(sum(X0,X0),sum(X1,X0))
| part_of(X0,sum(X1,X0)) ),
inference(forward_demodulation,[status(thm)],[f305,f441]) ).
fof(f451,plain,
! [X0,X1] :
( part_of(X0,sum(X1,X0))
| part_of(X0,sum(X1,X0)) ),
inference(forward_demodulation,[status(thm)],[f305,f450]) ).
fof(f452,plain,
! [X0,X1] : part_of(X0,sum(X1,X0)),
inference(duplicate_literals_removal,[status(thm)],[f451]) ).
fof(f467,plain,
! [X0,X1] :
( open(X0)
| X0 = sum(X0,X1) ),
inference(resolution,[status(thm)],[f433,f100]) ).
fof(f482,plain,
! [X0] : sum(sk15,sk16) = sum(sum(sk15,sk16),X0),
inference(resolution,[status(thm)],[f467,f122]) ).
fof(f494,plain,
! [X0] : part_of(X0,sum(sk15,sk16)),
inference(paramodulation,[status(thm)],[f482,f452]) ).
fof(f522,plain,
! [X0,X1] :
( ~ incident_c(X0,X1)
| incident_c(X0,sk16)
| incident_c(X0,sk15) ),
inference(resolution,[status(thm)],[f494,f129]) ).
fof(f654,plain,
! [X0,X1] :
( part_of(X0,sk14)
| ~ incident_c(ax0_sk1(X0,sk14),X1)
| incident_c(ax0_sk1(X0,sk14),sk15) ),
inference(resolution,[status(thm)],[f522,f148]) ).
fof(f656,plain,
! [X0,X1] :
( part_of(X0,sk14)
| ~ incident_c(ax0_sk1(X0,sk14),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f149]) ).
fof(f657,plain,
! [X0] :
( part_of(sum(X0,X0),sk14)
| part_of(sum(X0,X0),sk14) ),
inference(resolution,[status(thm)],[f656,f137]) ).
fof(f669,plain,
! [X0] :
( part_of(sum(X0,X0),sk14)
| part_of(X0,sk14) ),
inference(forward_demodulation,[status(thm)],[f305,f657]) ).
fof(f670,plain,
! [X0] :
( part_of(X0,sk14)
| part_of(X0,sk14) ),
inference(forward_demodulation,[status(thm)],[f305,f669]) ).
fof(f671,plain,
! [X0] : part_of(X0,sk14),
inference(duplicate_literals_removal,[status(thm)],[f670]) ).
fof(f732,plain,
! [X0] :
( open(X0)
| X0 = sk14 ),
inference(resolution,[status(thm)],[f671,f100]) ).
fof(f745,plain,
sum(sk15,sk16) = sk14,
inference(resolution,[status(thm)],[f732,f122]) ).
fof(f757,plain,
~ open(sk14),
inference(backward_demodulation,[status(thm)],[f745,f122]) ).
fof(f773,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f757,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO093-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n011.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 10:43:55 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 3.96/1.05 % Refutation found
% 3.96/1.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.96/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.96/1.07 % Elapsed time: 0.613909 seconds
% 3.96/1.07 % CPU time: 4.440657 seconds
% 3.96/1.07 % Total memory used: 109.054 MB
% 3.96/1.07 % Net memory used: 104.985 MB
%------------------------------------------------------------------------------