%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 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 08:22:42 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(one_shaved_then_all_shaved,axiom,
! [VAR_0,VAR_1] :
( shaved(members,VAR_0)
| ~ shaved(VAR_0,VAR_1)
| ~ member(VAR_1)
| ~ member(VAR_0) ),
file('theBenchmark.p',one_shaved_then_all_shaved) ).
cnf(c_1,plain,
( shaved(members,A)
| ~ shaved(A,B)
| ~ member(B)
| ~ member(A) ),
inference(clausify,[status(thm)],[one_shaved_then_all_shaved]) ).
fof(all_shaved_then_one_shaved,axiom,
! [VAR_0,VAR_1] :
( shaved(VAR_1,VAR_0)
| ~ member(VAR_1)
| ~ shaved(members,VAR_0) ),
file('theBenchmark.p',all_shaved_then_one_shaved) ).
cnf(c_2,plain,
( shaved(B,A)
| ~ member(B)
| ~ shaved(members,A) ),
inference(clausify,[status(thm)],[all_shaved_then_one_shaved]) ).
fof(guido,axiom,
member(guido),
file('theBenchmark.p',guido) ).
cnf(c_3,plain,
member(guido),
inference(clausify,[status(thm)],[guido]) ).
fof(lorenzo,axiom,
member(lorenzo),
file('theBenchmark.p',lorenzo) ).
cnf(c_4,plain,
member(lorenzo),
inference(clausify,[status(thm)],[lorenzo]) ).
fof(petruchio,axiom,
member(petruchio),
file('theBenchmark.p',petruchio) ).
cnf(c_5,plain,
member(petruchio),
inference(clausify,[status(thm)],[petruchio]) ).
fof(cesare,axiom,
member(cesare),
file('theBenchmark.p',cesare) ).
cnf(c_6,plain,
member(cesare),
inference(clausify,[status(thm)],[cesare]) ).
fof(guido_has_shaved_cesare,axiom,
shaved(guido,cesare),
file('theBenchmark.p',guido_has_shaved_cesare) ).
cnf(c_7,plain,
shaved(guido,cesare),
inference(clausify,[status(thm)],[guido_has_shaved_cesare]) ).
fof(prove_petruchio_has_shaved_lorenzo,axiom,
~ shaved(petruchio,lorenzo),
file('theBenchmark.p',prove_petruchio_has_shaved_lorenzo) ).
cnf(c_8,plain,
~ shaved(petruchio,lorenzo),
inference(clausify,[status(thm)],[prove_petruchio_has_shaved_lorenzo]) ).
cnf(c_22,plain,
( shaved(members,guido)
| ~ shaved(guido,A)
| ~ member(A) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_23,plain,
( shaved(members,guido)
| ~ shaved(guido,cesare) ),
inference(resolve,[status(thm)],[c_22,c_6]) ).
cnf(c_9,plain,
shaved(members,guido),
inference(resolve,[status(thm)],[c_23,c_7]) ).
cnf(c_24,plain,
( shaved(petruchio,A)
| ~ shaved(members,A) ),
inference(resolve,[status(thm)],[c_2,c_5]) ).
cnf(c_11,plain,
~ shaved(members,lorenzo),
inference(resolve,[status(thm)],[c_24,c_8]) ).
cnf(c_25,plain,
( shaved(A,guido)
| ~ member(A) ),
inference(resolve,[status(thm)],[c_2,c_9]) ).
cnf(c_14,plain,
shaved(lorenzo,guido),
inference(resolve,[status(thm)],[c_25,c_4]) ).
cnf(c_26,plain,
( shaved(members,lorenzo)
| ~ shaved(lorenzo,A)
| ~ member(A) ),
inference(resolve,[status(thm)],[c_1,c_4]) ).
cnf(c_27,plain,
( shaved(members,lorenzo)
| ~ shaved(lorenzo,guido) ),
inference(resolve,[status(thm)],[c_26,c_3]) ).
cnf(c_20,plain,
~ shaved(lorenzo,guido),
inference(resolve,[status(thm)],[c_27,c_11]) ).
cnf(c_21,plain,
$false,
inference(resolve,[status(thm)],[c_20,c_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 04:58:18 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 4058115 was started by sandbox2 on n017,
% 0.11/0.37 % Sat Sep 26 04:58:18 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.37
% 0.11/0.37 % From the command line: assign(max_seconds, 300).
% 0.11/0.38
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.38
% 0.11/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/0.38 % Length of proof is 13.
% 0.11/0.38 % Level of proof is 3.
% 0.11/0.38 % Maximum clause weight is 10.000.
% 0.11/0.38 % Given clauses 10.
% 0.11/0.38
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------