%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:10:59 PM UTC 2026
% Result : Unsatisfiable 4.62s 1.22s
% Output : Proof 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 69 ~; 70 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 68 ( 4 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,axiom,
( q3(X,Y,Z)
| less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3_nnf,plain,
! [X,Y,Z] :
( q3(X,Y,Z)
| less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y,Z] :
( q3(X,Y,Z)
| less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( q3(X0,X1,X2)
| less_or_equalish(X0,X1)
| ~ q1(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f11,negated_conjecture,
q1(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f11_nnf,plain,
q1(a,b,c),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
q1(a,b,c),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p24,plain,
( q3(a,b,c)
| less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[c3,c11]) ).
cnf(f5,axiom,
( q4(X,Y,X)
| ~ q3(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5_nnf,plain,
! [X,Y,Z] :
( q4(X,Y,X)
| ~ q3(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y,Z] :
( q4(X,Y,X)
| ~ q3(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( q4(X0,X1,X0)
| ~ q3(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p25,plain,
( q4(a,b,a)
| less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[p24,c5]) ).
cnf(f12,negated_conjecture,
( ~ less_or_equalish(W,a)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f12_nnf,plain,
! [W] :
( ~ less_or_equalish(W,a)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [W] :
( ~ less_or_equalish(W,a)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ less_or_equalish(X0,a)
| ~ less_or_equalish(b,X0)
| ~ less_or_equalish(a,X0)
| ~ q4(a,b,X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p15,plain,
( ~ less_or_equalish(b,a)
| ~ less_or_equalish(a,a)
| ~ q4(a,b,a) ),
inference(factoring,[status(thm)],[c12]) ).
cnf(p27,plain,
( ~ less_or_equalish(b,a)
| ~ less_or_equalish(a,a)
| less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[p25,p15]) ).
cnf(f6,axiom,
less_or_equalish(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_reflexivity) ).
fof(f6_nnf,plain,
! [X] : less_or_equalish(X,X),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] : less_or_equalish(X,X),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
less_or_equalish(X0,X0),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p37,plain,
( ~ less_or_equalish(b,a)
| less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[p27,c6]) ).
cnf(f2,axiom,
( q2(X,Y,Z)
| ~ less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2_nnf,plain,
! [X,Y,Z] :
( q2(X,Y,Z)
| ~ less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( q2(X,Y,Z)
| ~ less_or_equalish(X,Y)
| ~ q1(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( q2(X0,X1,X2)
| ~ less_or_equalish(X0,X1)
| ~ q1(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p18,plain,
( q2(a,b,c)
| ~ less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[c2,c11]) ).
cnf(f9,axiom,
( less_or_equalish(Y,X)
| less_or_equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_less_or_equal) ).
fof(f9_nnf,plain,
! [X,Y] :
( less_or_equalish(Y,X)
| less_or_equalish(X,Y) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y] :
( less_or_equalish(Y,X)
| less_or_equalish(X,Y) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( less_or_equalish(X1,X0)
| less_or_equalish(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p19,plain,
( less_or_equalish(b,a)
| q2(a,b,c) ),
inference(resolution,[status(thm)],[p18,c9]) ).
cnf(f4,axiom,
( q4(X,Y,Y)
| ~ q2(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4_nnf,plain,
! [X,Y,Z] :
( q4(X,Y,Y)
| ~ q2(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y,Z] :
( q4(X,Y,Y)
| ~ q2(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( q4(X0,X1,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p20,plain,
( q4(a,b,b)
| less_or_equalish(b,a) ),
inference(resolution,[status(thm)],[p19,c4]) ).
cnf(f13,negated_conjecture,
( ~ less_or_equalish(W,b)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f13_nnf,plain,
! [W] :
( ~ less_or_equalish(W,b)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [W] :
( ~ less_or_equalish(W,b)
| ~ less_or_equalish(b,W)
| ~ less_or_equalish(a,W)
| ~ q4(a,b,W) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ less_or_equalish(X0,b)
| ~ less_or_equalish(b,X0)
| ~ less_or_equalish(a,X0)
| ~ q4(a,b,X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p14,plain,
( ~ less_or_equalish(b,b)
| ~ less_or_equalish(a,b)
| ~ q4(a,b,b) ),
inference(factoring,[status(thm)],[c13]) ).
cnf(p22,plain,
( ~ less_or_equalish(b,b)
| ~ less_or_equalish(a,b)
| less_or_equalish(b,a) ),
inference(resolution,[status(thm)],[p20,p14]) ).
cnf(p23,plain,
( less_or_equalish(b,a)
| ~ less_or_equalish(b,b)
| less_or_equalish(b,a) ),
inference(resolution,[status(thm)],[p22,c9]) ).
cnf(p28,plain,
( ~ less_or_equalish(b,b)
| less_or_equalish(b,a) ),
inference(factoring,[status(thm)],[p23]) ).
cnf(p29,plain,
less_or_equalish(b,a),
inference(resolution,[status(thm)],[p28,c6]) ).
cnf(p39,plain,
less_or_equalish(a,b),
inference(resolution,[status(thm)],[p37,p29]) ).
cnf(p41,plain,
q2(a,b,c),
inference(resolution,[status(thm)],[p39,p18]) ).
cnf(p48,plain,
q4(a,b,b),
inference(resolution,[status(thm)],[p41,c4]) ).
cnf(p50,plain,
( ~ less_or_equalish(b,b)
| ~ less_or_equalish(a,b) ),
inference(resolution,[status(thm)],[p48,p14]) ).
cnf(p56,plain,
~ less_or_equalish(b,b),
inference(resolution,[status(thm)],[p50,p39]) ).
cnf(p57,plain,
$false,
inference(resolution,[status(thm)],[p56,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 18:11:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.62/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.62/1.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------