%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT005-5 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.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 01:54:58 PM UTC 2026
% Result : Unsatisfiable 8.84s 1.71s
% Output : Proof 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 97 ( 77 unt; 0 def)
% Number of atoms : 145 ( 36 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 102 ( 54 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 136 ( 6 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,axiom,
( join(Y,X,Z)
| ~ join(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7_nnf,plain,
! [X,Y,Z] :
( join(Y,X,Z)
| ~ join(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y,Z] :
( join(Y,X,Z)
| ~ join(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi7,axiom,
ifeq(join(X0,X1,X2),true,join(X1,X0,X2),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(f2,axiom,
join(n0,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_0_and_x) ).
fof(f2_nnf,plain,
! [X] : join(n0,X,X),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : join(n0,X,X),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
join(n0,X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
join(n0,X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h1,plain,
join(V0,n0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi7,hi2]) ).
cnf(f15,axiom,
( meet(Z,X1,Z1)
| ~ join(X,Y1,Z1)
| ~ meet(Y,Z,Y1)
| ~ join(X,Y,X1)
| ~ meet(X,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity2) ).
fof(f15_nnf,plain,
! [X,Z,Y,X1,Y1,Z1] :
( meet(Z,X1,Z1)
| ~ join(X,Y1,Z1)
| ~ meet(Y,Z,Y1)
| ~ join(X,Y,X1)
| ~ meet(X,Z,X) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Z,Y,X1,Y1,Z1] :
( meet(Z,X1,Z1)
| ~ join(X,Y1,Z1)
| ~ meet(Y,Z,Y1)
| ~ join(X,Y,X1)
| ~ meet(X,Z,X) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( meet(X1,X3,X5)
| ~ join(X0,X4,X5)
| ~ meet(X2,X1,X4)
| ~ join(X0,X2,X3)
| ~ meet(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi15,axiom,
ifeq(meet(X0,X1,X0),true,ifeq(join(X0,X2,X3),true,ifeq(meet(X2,X1,X4),true,ifeq(join(X0,X4,X5),true,meet(X1,X3,X5),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(f3,axiom,
meet(n0,X,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_0_and_x) ).
fof(f3_nnf,plain,
! [X] : meet(n0,X,n0),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] : meet(n0,X,n0),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
meet(n0,X0,n0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,axiom,
meet(n0,X0,n0) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f23,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f23_nnf,plain,
meet(r2,b,e),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
meet(r2,b,e),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(hi23,negated_conjecture,
meet(r2,b,e) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(h10,plain,
meet(b,r2,e) = true,
inference(hyper_resolution,[status(thm)],[hi15,hi3,hi2,hi23,hi2]) ).
cnf(f22,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f22_nnf,plain,
meet(c,r2,n0),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
meet(c,r2,n0),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(hi22,negated_conjecture,
meet(c,r2,n0) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(h9,plain,
meet(r2,c,n0) = true,
inference(hyper_resolution,[status(thm)],[hi15,hi3,hi2,hi22,hi2]) ).
cnf(f10,axiom,
( meet(Xy,Z,Xyz)
| ~ meet(X,Yz,Xyz)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet1) ).
fof(f10_nnf,plain,
! [X,Y,Xy,Z,Yz,Xyz] :
( meet(Xy,Z,Xyz)
| ~ meet(X,Yz,Xyz)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,Y,Xy,Z,Yz,Xyz] :
( meet(Xy,Z,Xyz)
| ~ meet(X,Yz,Xyz)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( meet(X2,X3,X5)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi10,axiom,
ifeq(meet(X0,X1,X2),true,ifeq(meet(X1,X3,X4),true,ifeq(meet(X0,X4,X5),true,meet(X2,X3,X5),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(f27,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f27_nnf,plain,
meet(r2,a,d),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
meet(r2,a,d),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(hi27,negated_conjecture,
meet(r2,a,d) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f20,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f20_nnf,plain,
meet(a,b,c),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
meet(a,b,c),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(hi20,negated_conjecture,
meet(a,b,c) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(h44,plain,
meet(d,b,n0) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi27,hi20,h9]) ).
cnf(f11,axiom,
( meet(X,Yz,Xyz)
| ~ meet(Xy,Z,Xyz)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet2) ).
fof(f11_nnf,plain,
! [X,Y,Xy,Z,Yz,Xyz] :
( meet(X,Yz,Xyz)
| ~ meet(Xy,Z,Xyz)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X,Y,Xy,Z,Yz,Xyz] :
( meet(X,Yz,Xyz)
| ~ meet(Xy,Z,Xyz)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( meet(X0,X4,X5)
| ~ meet(X2,X3,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi11,axiom,
ifeq(meet(X0,X1,X2),true,ifeq(meet(X1,X3,X4),true,ifeq(meet(X2,X3,X5),true,meet(X0,X4,X5),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h85,plain,
meet(d,e,n0) = true,
inference(hyper_resolution,[status(thm)],[hi11,h44,h10,hi3]) ).
cnf(f26,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f26_nnf,plain,
meet(c2,r1,n0),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
meet(c2,r1,n0),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi26,negated_conjecture,
meet(c2,r1,n0) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h20,plain,
meet(r1,c2,n0) = true,
inference(hyper_resolution,[status(thm)],[hi15,hi3,hi2,hi26,hi2]) ).
cnf(f28,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f28_nnf,plain,
join(r1,e,a2),
inference(nnf_transformation,[status(thm)],[f28]) ).
cnf(c28,plain,
join(r1,e,a2),
inference(cnf_transformation,[status(esa)],[f28_nnf]) ).
cnf(hi28,negated_conjecture,
join(r1,e,a2) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(h30,plain,
join(e,r1,a2) = true,
inference(hyper_resolution,[status(thm)],[hi7,hi28]) ).
cnf(f4,axiom,
meet(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_x_and_x) ).
fof(f4_nnf,plain,
! [X] : meet(X,X,X),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] : meet(X,X,X),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
meet(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,axiom,
meet(X0,X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h13,plain,
meet(e,b,e) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi23,hi4,hi23]) ).
cnf(f24,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f24_nnf,plain,
join(a,b,c2),
inference(nnf_transformation,[status(thm)],[f24]) ).
cnf(c24,plain,
join(a,b,c2),
inference(cnf_transformation,[status(esa)],[f24_nnf]) ).
cnf(hi24,negated_conjecture,
join(a,b,c2) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(h18,plain,
join(b,a,c2) = true,
inference(hyper_resolution,[status(thm)],[hi7,hi24]) ).
cnf(f9,axiom,
( meet(X,Z,X)
| ~ join(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion2) ).
fof(f9_nnf,plain,
! [X,Y,Z] :
( meet(X,Z,X)
| ~ join(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y,Z] :
( meet(X,Z,X)
| ~ join(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi9,axiom,
ifeq(join(X0,X1,X2),true,meet(X0,X2,X0),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h60,plain,
meet(b,c2,b) = true,
inference(hyper_resolution,[status(thm)],[hi9,h18]) ).
cnf(h97,plain,
meet(e,c2,e) = true,
inference(hyper_resolution,[status(thm)],[hi10,h13,h60,h13]) ).
cnf(h115,plain,
meet(c2,a2,e) = true,
inference(hyper_resolution,[status(thm)],[hi15,h97,h30,h20,h1]) ).
cnf(h17,plain,
meet(a,c2,a) = true,
inference(hyper_resolution,[status(thm)],[hi9,hi24]) ).
cnf(h57,plain,
meet(d,c2,d) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi27,h17,hi27]) ).
cnf(h128,plain,
meet(d,a2,n0) = true,
inference(hyper_resolution,[status(thm)],[hi10,h57,h115,h85]) ).
cnf(h29,plain,
meet(r1,a2,r1) = true,
inference(hyper_resolution,[status(thm)],[hi9,hi28]) ).
cnf(f29,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f29_nnf,plain,
join(r1,d,b2),
inference(nnf_transformation,[status(thm)],[f29]) ).
cnf(c29,plain,
join(r1,d,b2),
inference(cnf_transformation,[status(esa)],[f29_nnf]) ).
cnf(hi29,negated_conjecture,
join(r1,d,b2) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(t81,plain,
meet(a2,b2,r1) = true,
inference(hyper_resolution,[status(thm)],[hi15,h29,hi29,h128,h1]) ).
cnf(t393,plain,
meet(a2,b2,r1) = true,
inference(orient,[status(thm)],[t81]) ).
cnf(f30,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_a2_and_b2) ).
fof(f30_nnf,plain,
~ meet(a2,b2,r1),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
~ meet(a2,b2,r1),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
~ meet(a2,b2,r1),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(goal_0,negated_conjecture,
meet(a2,b2,r1) != true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t393]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-5 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:59:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.84/1.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.84/1.71 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------