%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG361-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Sun Sep 27 06:50:04 AM UTC 2026
% Result : Unsatisfiable 4.36s 1.07s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-5 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_that_0,axiom,
! [VAR_0] :
( ~ c_SEQ_Osubseq(VAR_0)
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,VAR_0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| v_thesis____ ),
file('theBenchmark.p',cls_that_0) ).
cnf(c_354,plain,
( ~ c_SEQ_Osubseq(A)
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,A,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| v_thesis____ ),
inference(clausify,[status(thm)],[cls_that_0]) ).
fof(cls_CHAINED_0,axiom,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_355,plain,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
cnf(c_394,plain,
( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| v_thesis____ ),
inference(resolve,[status(thm)],[c_354,c_355]) ).
fof(cls_CHAINED_1,axiom,
c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
file('theBenchmark.p',cls_CHAINED_1) ).
cnf(c_815,plain,
c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
inference(clausify,[status(thm)],[cls_CHAINED_1]) ).
fof(cls_conjecture_0,axiom,
~ v_thesis____,
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_816,plain,
~ v_thesis____,
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_1046,plain,
~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
inference(resolve,[status(thm)],[c_816,c_394]) ).
cnf(c_1045,plain,
$false,
inference(resolve,[status(thm)],[c_815,c_1046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG361-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n017.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 21:50:04 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 1717680 was started by sandbox2 on n017,
% 0.15/0.43 % Sat Sep 26 21:50:04 2026
% 0.15/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.46
% 0.15/0.46 % From the command line: assign(max_seconds, 300).
% 4.36/1.07
% 4.36/1.07 % SZS status Unsatisfiable for theBenchmark
% 4.36/1.07
% 4.36/1.07 % Proof 1 at 0.58 (+ 0.01) seconds.
% 4.36/1.07 % Length of proof is 6.
% 4.36/1.07 % Level of proof is 2.
% 4.36/1.07 % Maximum clause weight is 34.000.
% 4.36/1.07 % Given clauses 0.
% 4.36/1.07
% 4.36/1.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------