%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 12:59:34 PM UTC 2026
% Result : Unsatisfiable 37.94s 20.26s
% Output : Proof 37.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 125 ( 105 unt; 0 def)
% Number of atoms : 189 ( 76 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 134 ( 70 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 278 ( 14 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f12,axiom,
( product(V1,V2,V4)
| ~ sum(X,V3,V4)
| ~ product(Y,Z,V3)
| ~ sum(X,Z,V2)
| ~ sum(X,Y,V1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity5) ).
fof(f12_nnf,plain,
! [X,Y,V1,Z,V2,V3,V4] :
( product(V1,V2,V4)
| ~ sum(X,V3,V4)
| ~ product(Y,Z,V3)
| ~ sum(X,Z,V2)
| ~ sum(X,Y,V1) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,Y,V1,Z,V2,V3,V4] :
( product(V1,V2,V4)
| ~ sum(X,V3,V4)
| ~ product(Y,Z,V3)
| ~ sum(X,Z,V2)
| ~ sum(X,Y,V1) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( product(X2,X4,X6)
| ~ sum(X0,X5,X6)
| ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi12,axiom,
ifeq(sum(X0,X1,X2),true,ifeq(sum(X0,X3,X4),true,ifeq(product(X1,X3,X5),true,ifeq(sum(X0,X5,X6),true,product(X2,X4,X6),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(f0,axiom,
sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f0_nnf,plain,
! [X,Y] : sum(X,Y,add(X,Y)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] : sum(X,Y,add(X,Y)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
sum(X0,X1,add(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(f1,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f1_nnf,plain,
! [X,Y] : product(X,Y,multiply(X,Y)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] : product(X,Y,multiply(X,Y)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
product(X0,X1,multiply(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t212,plain,
product(add(X1,X2),add(X1,X3),add(X1,multiply(X2,X3))) = true,
inference(hyper_resolution,[status(thm)],[hi12,hi0,hi0,hi1,hi0]) ).
cnf(t1976,plain,
product(add(X1,X2),add(X1,X3),add(X1,multiply(X2,X3))) = true,
inference(orient,[status(thm)],[t212]) ).
cnf(f21,axiom,
( U = V
| ~ product(X,Y,V)
| ~ product(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f21_nnf,plain,
! [X,Y,U,V] :
( U = V
| ~ product(X,Y,V)
| ~ product(X,Y,U) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y,U,V] :
( U = V
| ~ product(X,Y,V)
| ~ product(X,Y,U) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( X2 = X3
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(t242,plain,
ifeq(product(X1,X2,X3),true,ifeq(product(X1,X2,X4),true,X3,X4),X4) = X4,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t263,plain,
ifeq(product(X1,X2,X3),true,ifeq(product(X1,X2,X4),true,X3,X4),X4) = X4,
inference(orient,[status(thm)],[t242]) ).
cnf(f7,axiom,
product(X,multiplicative_identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f7_nnf,plain,
! [X] : product(X,multiplicative_identity,X),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] : product(X,multiplicative_identity,X),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
product(X0,multiplicative_identity,X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t12,plain,
product(X1,multiplicative_identity,X1) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t1573,plain,
product(X1,multiplicative_identity,X1) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t1574,plain,
X1 = ifeq(true,true,ifeq(product(X2,multiplicative_identity,X1),true,X2,X1),X1),
inference(cp,[status(thm)],[t263,t1573]) ).
cnf(t21,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t260,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t21]) ).
cnf(t7094,plain,
X1 = ifeq(product(X2,multiplicative_identity,X1),true,X2,X1),
inference(step,[status(thm)],[t1574,t260]) ).
cnf(t6580,plain,
ifeq(product(X1,multiplicative_identity,X2),true,X1,X2) = X2,
inference(orient,[status(thm)],[t7094]) ).
cnf(f9,axiom,
( product(X,V3,V4)
| ~ sum(V1,V2,V4)
| ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f9_nnf,plain,
! [X,Y,V1,Z,V2,V3,V4] :
( product(X,V3,V4)
| ~ sum(V1,V2,V4)
| ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y,V1,Z,V2,V3,V4] :
( product(X,V3,V4)
| ~ sum(V1,V2,V4)
| ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( product(X0,X5,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi9,axiom,
ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X1,X3,X5),true,ifeq(sum(X2,X4,X6),true,product(X0,X5,X6),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(f18,axiom,
product(inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f18_nnf,plain,
! [X] : product(inverse(X),X,additive_identity),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X] : product(inverse(X),X,additive_identity),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
product(inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi18,axiom,
product(inverse(X0),X0,additive_identity) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(f5,axiom,
sum(X,additive_identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f5_nnf,plain,
! [X] : sum(X,additive_identity,X),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] : sum(X,additive_identity,X),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
sum(X0,additive_identity,X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi5,axiom,
sum(X0,additive_identity,X0) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t164,plain,
product(inverse(X1),add(X2,X1),multiply(inverse(X1),X2)) = true,
inference(hyper_resolution,[status(thm)],[hi9,hi1,hi18,hi0,hi5]) ).
cnf(t2392,plain,
product(inverse(X1),add(X2,X1),multiply(inverse(X1),X2)) = true,
inference(orient,[status(thm)],[t164]) ).
cnf(h20,plain,
product(add(V0,V1),add(V0,V2),add(V0,multiply(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi12,hi0,hi0,hi1,hi0]) ).
cnf(f14,axiom,
( product(V1,V2,V4)
| ~ sum(V3,X,V4)
| ~ product(Y,Z,V3)
| ~ sum(Z,X,V2)
| ~ sum(Y,X,V1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity7) ).
fof(f14_nnf,plain,
! [Y,X,V1,Z,V2,V3,V4] :
( product(V1,V2,V4)
| ~ sum(V3,X,V4)
| ~ product(Y,Z,V3)
| ~ sum(Z,X,V2)
| ~ sum(Y,X,V1) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [Y,X,V1,Z,V2,V3,V4] :
( product(V1,V2,V4)
| ~ sum(V3,X,V4)
| ~ product(Y,Z,V3)
| ~ sum(Z,X,V2)
| ~ sum(Y,X,V1) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( product(X2,X4,X6)
| ~ sum(X5,X1,X6)
| ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi14,axiom,
ifeq(sum(X0,X1,X2),true,ifeq(sum(X3,X1,X4),true,ifeq(product(X0,X3,X5),true,ifeq(sum(X5,X1,X6),true,product(X2,X4,X6),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(f4,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f4_nnf,plain,
! [X] : sum(additive_identity,X,X),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] : sum(additive_identity,X,X),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,axiom,
sum(additive_identity,X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h7,plain,
product(V0,add(V1,V0),add(multiply(additive_identity,V1),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi14,hi4,hi0,hi1,hi0]) ).
cnf(hi21,axiom,
ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,X2,X3),X3) = X3,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t233,plain,
add(multiply(additive_identity,X1),add(X1,X2)) = add(X1,multiply(X2,add(X1,X2))),
inference(hyper_resolution,[status(thm)],[hi21,h7,h20]) ).
cnf(t319,plain,
add(X1,multiply(X2,add(X1,X2))) = add(multiply(additive_identity,X1),add(X1,X2)),
inference(orient,[status(thm)],[t233]) ).
cnf(f20,axiom,
( U = V
| ~ sum(X,Y,V)
| ~ sum(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f20_nnf,plain,
! [X,Y,U,V] :
( U = V
| ~ sum(X,Y,V)
| ~ sum(X,Y,U) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y,U,V] :
( U = V
| ~ sum(X,Y,V)
| ~ sum(X,Y,U) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( X2 = X3
| ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi20,axiom,
ifeq(sum(X0,X1,X2),true,ifeq(sum(X0,X1,X3),true,X2,X3),X3) = X3,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(f17,axiom,
sum(X,inverse(X),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f17_nnf,plain,
! [X] : sum(X,inverse(X),multiplicative_identity),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X] : sum(X,inverse(X),multiplicative_identity),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
sum(X0,inverse(X0),multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi17,axiom,
sum(X0,inverse(X0),multiplicative_identity) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t8,plain,
add(X1,inverse(X1)) = multiplicative_identity,
inference(hyper_resolution,[status(thm)],[hi20,hi0,hi17]) ).
cnf(t438,plain,
add(X1,inverse(X1)) = multiplicative_identity,
inference(orient,[status(thm)],[t8]) ).
cnf(t447,plain,
add(multiply(additive_identity,X1),add(X1,inverse(X1))) = add(X1,multiply(inverse(X1),multiplicative_identity)),
inference(cp,[status(thm)],[t319,t438]) ).
cnf(t7054,plain,
add(multiply(additive_identity,X1),multiplicative_identity) = add(X1,multiply(inverse(X1),multiplicative_identity)),
inference(step,[status(thm)],[t447,t438]) ).
cnf(h14,plain,
product(V0,V1,add(additive_identity,multiply(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi12,hi4,hi4,hi1,hi0]) ).
cnf(t189,plain,
add(additive_identity,multiply(X1,add(X2,X1))) = add(multiply(additive_identity,X2),X1),
inference(hyper_resolution,[status(thm)],[hi21,h7,h14]) ).
cnf(t3,plain,
add(additive_identity,X1) = X1,
inference(hyper_resolution,[status(thm)],[hi20,hi4,hi0]) ).
cnf(t257,plain,
add(additive_identity,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t7044,plain,
multiply(X1,add(X2,X1)) = add(multiply(additive_identity,X2),X1),
inference(step,[status(thm)],[t189,t257]) ).
cnf(t529,plain,
add(multiply(additive_identity,X1),X2) = multiply(X2,add(X1,X2)),
inference(orient,[status(thm)],[t7044]) ).
cnf(t7055,plain,
multiply(multiplicative_identity,add(X1,multiplicative_identity)) = add(X1,multiply(inverse(X1),multiplicative_identity)),
inference(step,[status(thm)],[t7054,t529]) ).
cnf(f6,axiom,
product(multiplicative_identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f6_nnf,plain,
! [X] : product(multiplicative_identity,X,X),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] : product(multiplicative_identity,X,X),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
product(multiplicative_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi6,axiom,
product(multiplicative_identity,X0,X0) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t18,plain,
add(additive_identity,multiply(multiplicative_identity,X1)) = X1,
inference(hyper_resolution,[status(thm)],[hi21,hi6,h14]) ).
cnf(t7041,plain,
multiply(multiplicative_identity,X1) = X1,
inference(step,[status(thm)],[t18,t257]) ).
cnf(t259,plain,
multiply(multiplicative_identity,X1) = X1,
inference(orient,[status(thm)],[t7041]) ).
cnf(t7056,plain,
add(X1,multiplicative_identity) = add(X1,multiply(inverse(X1),multiplicative_identity)),
inference(step,[status(thm)],[t7055,t259]) ).
cnf(hi7,axiom,
product(X0,multiplicative_identity,X0) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t17,plain,
add(additive_identity,multiply(X1,multiplicative_identity)) = X1,
inference(hyper_resolution,[status(thm)],[hi21,hi7,h14]) ).
cnf(t7040,plain,
multiply(X1,multiplicative_identity) = X1,
inference(step,[status(thm)],[t17,t257]) ).
cnf(t258,plain,
multiply(X1,multiplicative_identity) = X1,
inference(orient,[status(thm)],[t7040]) ).
cnf(t7057,plain,
add(X1,multiplicative_identity) = add(X1,inverse(X1)),
inference(step,[status(thm)],[t7056,t258]) ).
cnf(t7058,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(step,[status(thm)],[t7057,t438]) ).
cnf(t4321,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(orient,[status(thm)],[t7058]) ).
cnf(t4327,plain,
true = product(inverse(multiplicative_identity),multiplicative_identity,multiply(inverse(multiplicative_identity),X1)),
inference(cp,[status(thm)],[t2392,t4321]) ).
cnf(t1,plain,
inverse(multiplicative_identity) = additive_identity,
inference(hyper_resolution,[status(thm)],[hi21,hi7,hi18]) ).
cnf(t4172,plain,
inverse(multiplicative_identity) = additive_identity,
inference(orient,[status(thm)],[t1]) ).
cnf(t7059,plain,
true = product(additive_identity,multiplicative_identity,multiply(inverse(multiplicative_identity),X1)),
inference(step,[status(thm)],[t4327,t4172]) ).
cnf(t7060,plain,
true = product(additive_identity,multiplicative_identity,multiply(additive_identity,X1)),
inference(step,[status(thm)],[t7059,t4172]) ).
cnf(t4475,plain,
product(additive_identity,multiplicative_identity,multiply(additive_identity,X1)) = true,
inference(orient,[status(thm)],[t7060]) ).
cnf(t6585,plain,
multiply(additive_identity,X1) = ifeq(true,true,additive_identity,multiply(additive_identity,X1)),
inference(cp,[status(thm)],[t6580,t4475]) ).
cnf(t7100,plain,
multiply(additive_identity,X1) = additive_identity,
inference(step,[status(thm)],[t6585,t260]) ).
cnf(t6618,plain,
multiply(additive_identity,X1) = additive_identity,
inference(orient,[status(thm)],[t7100]) ).
cnf(t6621,plain,
true = product(add(X1,additive_identity),add(X1,X2),add(X1,additive_identity)),
inference(cp,[status(thm)],[t1976,t6618]) ).
cnf(t2,plain,
add(X1,additive_identity) = X1,
inference(hyper_resolution,[status(thm)],[hi20,hi0,hi5]) ).
cnf(t256,plain,
add(X1,additive_identity) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t7119,plain,
true = product(X1,add(X1,X2),add(X1,additive_identity)),
inference(step,[status(thm)],[t6621,t256]) ).
cnf(t7120,plain,
true = product(X1,add(X1,X2),X1),
inference(step,[status(thm)],[t7119,t256]) ).
cnf(t7012,plain,
product(X1,add(X1,X2),X1) = true,
inference(orient,[status(thm)],[t7120]) ).
cnf(f22,negated_conjecture,
~ product(x,add(x,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equations) ).
fof(f22_nnf,plain,
~ product(x,add(x,y),x),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
~ product(x,add(x,y),x),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
~ product(x,add(x,y),x),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(goal_0,negated_conjecture,
product(x,add(x,y),x) != true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t7012]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/15.38 % Computer : n004.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Fri Sep 25 06:28:22 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.94/20.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.94/20.26 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------