%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 02:31:48 PM UTC 2026
% Result : Unsatisfiable 3.31s 0.86s
% Output : Proof 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 34 unt; 0 def)
% Number of atoms : 62 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 20 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
( shaved(members,X)
| ~ shaved(X,Y)
| ~ member(Y)
| ~ member(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_shaved_then_all_shaved) ).
fof(f0_nnf,plain,
! [X,Y] :
( shaved(members,X)
| ~ shaved(X,Y)
| ~ member(Y)
| ~ member(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( shaved(members,X)
| ~ shaved(X,Y)
| ~ member(Y)
| ~ member(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( shaved(members,X0)
| ~ shaved(X0,X1)
| ~ member(X1)
| ~ member(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(member(X0),true,ifeq(member(X1),true,ifeq(shaved(X0,X1),true,shaved(members,X0),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(f2,hypothesis,
member(guido),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guido) ).
fof(f2_nnf,plain,
member(guido),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
member(guido),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi2,axiom,
member(guido) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(f5,hypothesis,
member(cesare),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cesare) ).
fof(f5_nnf,plain,
member(cesare),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
member(cesare),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(hi5,axiom,
member(cesare) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(f6,hypothesis,
shaved(guido,cesare),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guido_has_shaved_cesare) ).
fof(f6_nnf,plain,
shaved(guido,cesare),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
shaved(guido,cesare),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
shaved(guido,cesare) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h0,plain,
shaved(members,guido) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi2,hi5,hi6]) ).
cnf(f1,axiom,
( shaved(Y,X)
| ~ member(Y)
| ~ shaved(members,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_shaved_then_one_shaved) ).
fof(f1_nnf,plain,
! [X,Y] :
( shaved(Y,X)
| ~ member(Y)
| ~ shaved(members,X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( shaved(Y,X)
| ~ member(Y)
| ~ shaved(members,X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( shaved(X1,X0)
| ~ member(X1)
| ~ shaved(members,X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
ifeq(shaved(members,X0),true,ifeq(member(X1),true,shaved(X1,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(f3,hypothesis,
member(lorenzo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lorenzo) ).
fof(f3_nnf,plain,
member(lorenzo),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
member(lorenzo),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(hi3,axiom,
member(lorenzo) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(h3,plain,
shaved(lorenzo,guido) = true,
inference(hyper_resolution,[status(thm)],[hi1,h0,hi3]) ).
cnf(h7,plain,
shaved(members,lorenzo) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3,hi2,h3]) ).
cnf(f4,hypothesis,
member(petruchio),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',petruchio) ).
fof(f4_nnf,plain,
member(petruchio),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
member(petruchio),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(hi4,axiom,
member(petruchio) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t20,plain,
shaved(petruchio,lorenzo) = true,
inference(hyper_resolution,[status(thm)],[hi1,h7,hi4]) ).
cnf(t30,plain,
shaved(petruchio,lorenzo) = true,
inference(orient,[status(thm)],[t20]) ).
cnf(f7,negated_conjecture,
~ shaved(petruchio,lorenzo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_petruchio_has_shaved_lorenzo) ).
fof(f7_nnf,plain,
~ shaved(petruchio,lorenzo),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ shaved(petruchio,lorenzo),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ shaved(petruchio,lorenzo),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(goal_0,negated_conjecture,
shaved(petruchio,lorenzo) != true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t30]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n015.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 : Thu Sep 24 06:39:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.31/0.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.31/0.86 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------