%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COL042-5 : TPTP v9.3.1. Released v1.2.0.
% 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 01:01:49 PM UTC 2026
% Result : Unsatisfiable 204.15s 26.48s
% Output : Proof 204.15s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
sFlat0 = apply(w1,w1),
introduced(definition) ).
cnf(t45,plain,
apply(w1,w1) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t5,axiom,
sFlat1 = apply(b,apply(w1,w1)),
introduced(definition) ).
cnf(t34,plain,
apply(b,apply(w1,w1)) = sFlat1,
inference(orient,[status(thm)],[t5]) ).
cnf(t219308,plain,
apply(b,sFlat0) = sFlat1,
inference(step,[status(thm)],[t34,t45]) ).
cnf(t47,plain,
apply(b,sFlat0) = sFlat1,
inference(rw,[status(thm)],[t219308]) ).
cnf(t60,plain,
apply(b,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t47]) ).
cnf(f0,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f0_nnf,plain,
! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t2,plain,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t14,plain,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
inference(orient,[status(thm)],[t2]) ).
cnf(t8,axiom,
sFlat4 = apply(b,b),
introduced(definition) ).
cnf(t38,plain,
apply(b,b) = sFlat4,
inference(orient,[status(thm)],[t8]) ).
cnf(t39,plain,
apply(b,apply(X1,X2)) = apply(apply(sFlat4,X1),X2),
inference(cp,[status(thm)],[t14,t38]) ).
cnf(t98,plain,
apply(apply(sFlat4,X1),X2) = apply(b,apply(X1,X2)),
inference(orient,[status(thm)],[t39]) ).
cnf(f1,axiom,
apply(apply(w1,X),Y) = apply(apply(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w1_definition) ).
fof(f1_nnf,plain,
! [X,Y] : apply(apply(w1,X),Y) = apply(apply(Y,X),X),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] : apply(apply(w1,X),Y) = apply(apply(Y,X),X),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
apply(apply(w1,X0),X1) = apply(apply(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t1,plain,
apply(apply(w1,X1),X2) = apply(apply(X2,X1),X1),
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t15,plain,
apply(apply(X1,X2),X2) = apply(apply(w1,X2),X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t40,plain,
apply(apply(w1,b),b) = apply(sFlat4,b),
inference(cp,[status(thm)],[t15,t38]) ).
cnf(t219315,plain,
apply(apply(w1,b),w1) = apply(sFlat4,b),
inference(step,[status(thm)],[t40,t15]) ).
cnf(t9,axiom,
sFlat5 = apply(apply(b,b),b),
introduced(definition) ).
cnf(t219303,plain,
sFlat5 = apply(apply(w1,b),b),
inference(step,[status(thm)],[t9,t15]) ).
cnf(t219304,plain,
sFlat5 = apply(apply(w1,b),w1),
inference(step,[status(thm)],[t219303,t15]) ).
cnf(t28,plain,
apply(apply(w1,b),w1) = sFlat5,
inference(orient,[status(thm)],[t219304]) ).
cnf(t219316,plain,
sFlat5 = apply(sFlat4,b),
inference(step,[status(thm)],[t219315,t28]) ).
cnf(t63,plain,
apply(sFlat4,b) = sFlat5,
inference(orient,[status(thm)],[t219316]) ).
cnf(t100,plain,
apply(b,apply(b,X1)) = apply(sFlat5,X1),
inference(cp,[status(thm)],[t98,t63]) ).
cnf(t105,plain,
apply(b,apply(b,X1)) = apply(sFlat5,X1),
inference(orient,[status(thm)],[t100]) ).
cnf(t6,axiom,
sFlat2 = apply(b,w1),
introduced(definition) ).
cnf(t41,plain,
apply(b,w1) = sFlat2,
inference(orient,[status(thm)],[t6]) ).
cnf(t108,plain,
apply(sFlat5,w1) = apply(b,sFlat2),
inference(cp,[status(thm)],[t105,t41]) ).
cnf(t7,axiom,
sFlat3 = apply(b,apply(b,w1)),
introduced(definition) ).
cnf(t31,plain,
apply(b,apply(b,w1)) = sFlat3,
inference(orient,[status(thm)],[t7]) ).
cnf(t219307,plain,
apply(b,sFlat2) = sFlat3,
inference(step,[status(thm)],[t31,t41]) ).
cnf(t44,plain,
apply(b,sFlat2) = sFlat3,
inference(rw,[status(thm)],[t219307]) ).
cnf(t56,plain,
apply(b,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t44]) ).
cnf(t219321,plain,
apply(sFlat5,w1) = sFlat3,
inference(step,[status(thm)],[t108,t56]) ).
cnf(t114,plain,
apply(sFlat5,w1) = sFlat3,
inference(orient,[status(thm)],[t219321]) ).
cnf(t10,axiom,
sFlat6 = apply(apply(b,apply(b,w1)),apply(apply(b,b),b)),
introduced(definition) ).
cnf(t219298,plain,
sFlat6 = apply(apply(b,apply(b,w1)),apply(apply(w1,b),b)),
inference(step,[status(thm)],[t10,t15]) ).
cnf(t219299,plain,
sFlat6 = apply(apply(b,apply(b,w1)),apply(apply(w1,b),w1)),
inference(step,[status(thm)],[t219298,t15]) ).
cnf(t22,plain,
apply(apply(b,apply(b,w1)),apply(apply(w1,b),w1)) = sFlat6,
inference(orient,[status(thm)],[t219299]) ).
cnf(t219305,plain,
apply(apply(b,apply(b,w1)),sFlat5) = sFlat6,
inference(step,[status(thm)],[t22,t28]) ).
cnf(t30,plain,
apply(apply(b,apply(b,w1)),sFlat5) = sFlat6,
inference(rw,[status(thm)],[t219305]) ).
cnf(t219331,plain,
apply(apply(sFlat5,w1),sFlat5) = sFlat6,
inference(step,[status(thm)],[t30,t105]) ).
cnf(t219332,plain,
apply(sFlat3,sFlat5) = sFlat6,
inference(step,[status(thm)],[t219331,t114]) ).
cnf(t304,plain,
apply(sFlat3,sFlat5) = sFlat6,
inference(orient,[status(thm)],[t219332]) ).
cnf(t11,axiom,
sFlat7 = apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),
introduced(definition) ).
cnf(t219300,plain,
sFlat7 = apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(w1,b),b))),
inference(step,[status(thm)],[t11,t15]) ).
cnf(t219301,plain,
sFlat7 = apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(w1,b),w1))),
inference(step,[status(thm)],[t219300,t15]) ).
cnf(t219302,plain,
sFlat7 = apply(apply(b,apply(w1,w1)),sFlat6),
inference(step,[status(thm)],[t219301,t22]) ).
cnf(t25,plain,
apply(apply(b,apply(w1,w1)),sFlat6) = sFlat7,
inference(orient,[status(thm)],[t219302]) ).
cnf(t219306,plain,
apply(sFlat1,sFlat6) = sFlat7,
inference(step,[status(thm)],[t25,t34]) ).
cnf(t37,plain,
apply(sFlat1,sFlat6) = sFlat7,
inference(rw,[status(thm)],[t219306]) ).
cnf(t55,plain,
apply(sFlat1,sFlat6) = sFlat7,
inference(orient,[status(thm)],[t37]) ).
cnf(t12,axiom,
sFlat8 = fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
introduced(definition) ).
cnf(t219309,plain,
sFlat8 = fixed_point(apply(apply(b,sFlat0),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
inference(step,[status(thm)],[t12,t45]) ).
cnf(t219310,plain,
sFlat8 = fixed_point(apply(apply(b,sFlat0),apply(apply(b,sFlat2),apply(apply(b,b),b)))),
inference(step,[status(thm)],[t219309,t41]) ).
cnf(t219311,plain,
sFlat8 = fixed_point(apply(apply(b,sFlat0),apply(apply(b,sFlat2),apply(apply(w1,b),b)))),
inference(step,[status(thm)],[t219310,t15]) ).
cnf(t219312,plain,
sFlat8 = fixed_point(apply(apply(b,sFlat0),apply(apply(b,sFlat2),apply(apply(w1,b),w1)))),
inference(step,[status(thm)],[t219311,t15]) ).
cnf(t219313,plain,
sFlat8 = fixed_point(apply(apply(b,sFlat0),apply(apply(b,sFlat2),sFlat5))),
inference(step,[status(thm)],[t219312,t28]) ).
cnf(t53,plain,
fixed_point(apply(apply(b,sFlat0),apply(apply(b,sFlat2),sFlat5))) = sFlat8,
inference(orient,[status(thm)],[t219313]) ).
cnf(t219314,plain,
fixed_point(apply(apply(b,sFlat0),apply(sFlat3,sFlat5))) = sFlat8,
inference(step,[status(thm)],[t53,t56]) ).
cnf(t59,plain,
fixed_point(apply(apply(b,sFlat0),apply(sFlat3,sFlat5))) = sFlat8,
inference(rw,[status(thm)],[t219314]) ).
cnf(t219343,plain,
fixed_point(apply(sFlat1,apply(sFlat3,sFlat5))) = sFlat8,
inference(step,[status(thm)],[t59,t60]) ).
cnf(t219344,plain,
fixed_point(apply(sFlat1,sFlat6)) = sFlat8,
inference(step,[status(thm)],[t219343,t304]) ).
cnf(t219345,plain,
fixed_point(sFlat7) = sFlat8,
inference(step,[status(thm)],[t219344,t55]) ).
cnf(t327,plain,
fixed_point(sFlat7) = sFlat8,
inference(orient,[status(thm)],[t219345]) ).
cnf(f2,axiom,
( fixed_point(Strong_fixed_point)
| apply(Strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(Strong_fixed_point,fixed_pt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f2_nnf,plain,
! [Strong_fixed_point] :
( fixed_point(Strong_fixed_point)
| apply(Strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(Strong_fixed_point,fixed_pt)) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Strong_fixed_point] :
( fixed_point(Strong_fixed_point)
| apply(Strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(Strong_fixed_point,fixed_pt)) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( fixed_point(X0)
| apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt)) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t3,plain,
ifeq(apply(X1,fixed_pt),apply(fixed_pt,apply(X1,fixed_pt)),fixed_point(X1),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t48,plain,
ifeq(apply(X1,fixed_pt),apply(fixed_pt,apply(X1,fixed_pt)),fixed_point(X1),true) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t17,plain,
apply(apply(w1,X1),apply(apply(b,X2),X3)) = apply(apply(X2,apply(X3,X1)),X1),
inference(cp,[status(thm)],[t15,t14]) ).
cnf(t510,plain,
apply(apply(w1,X1),apply(apply(b,X2),X3)) = apply(apply(X2,apply(X3,X1)),X1),
inference(orient,[status(thm)],[t17]) ).
cnf(t522,plain,
apply(apply(apply(b,X1),apply(X2,X3)),X3) = apply(apply(w1,X3),apply(apply(sFlat5,X1),X2)),
inference(cp,[status(thm)],[t510,t105]) ).
cnf(t225380,plain,
apply(X1,apply(apply(X2,X3),X3)) = apply(apply(w1,X3),apply(apply(sFlat5,X1),X2)),
inference(step,[status(thm)],[t522,t14]) ).
cnf(t213559,plain,
apply(X1,apply(apply(X2,X3),X3)) = apply(apply(w1,X3),apply(apply(sFlat5,X1),X2)),
inference(orient,[status(thm)],[t225380]) ).
cnf(t213813,plain,
apply(apply(w1,X1),apply(apply(sFlat5,X2),X3)) = apply(X2,apply(apply(w1,X1),X3)),
inference(cp,[status(thm)],[t213559,t15]) ).
cnf(t217453,plain,
apply(apply(w1,X1),apply(apply(sFlat5,X2),X3)) = apply(X2,apply(apply(w1,X1),X3)),
inference(orient,[status(thm)],[t213813]) ).
cnf(t217464,plain,
apply(X1,apply(apply(w1,apply(apply(sFlat5,X1),X2)),X2)) = apply(apply(w1,apply(apply(sFlat5,X1),X2)),w1),
inference(cp,[status(thm)],[t217453,t15]) ).
cnf(t42,plain,
apply(w1,apply(X1,X2)) = apply(apply(sFlat2,X1),X2),
inference(cp,[status(thm)],[t14,t41]) ).
cnf(t159,plain,
apply(apply(sFlat2,X1),X2) = apply(w1,apply(X1,X2)),
inference(orient,[status(thm)],[t42]) ).
cnf(t166,plain,
apply(apply(w1,X1),apply(sFlat2,X2)) = apply(apply(w1,apply(X2,X1)),X1),
inference(cp,[status(thm)],[t15,t159]) ).
cnf(t1613,plain,
apply(apply(w1,apply(X1,X2)),X2) = apply(apply(w1,X2),apply(sFlat2,X1)),
inference(orient,[status(thm)],[t166]) ).
cnf(t225396,plain,
apply(X1,apply(apply(w1,X2),apply(sFlat2,apply(sFlat5,X1)))) = apply(apply(w1,apply(apply(sFlat5,X1),X2)),w1),
inference(step,[status(thm)],[t217464,t1613]) ).
cnf(t57,plain,
apply(sFlat2,apply(X1,X2)) = apply(apply(sFlat3,X1),X2),
inference(cp,[status(thm)],[t14,t56]) ).
cnf(t167,plain,
apply(apply(sFlat3,X1),X2) = apply(sFlat2,apply(X1,X2)),
inference(orient,[status(thm)],[t57]) ).
cnf(t305,plain,
apply(sFlat2,apply(sFlat5,X1)) = apply(sFlat6,X1),
inference(cp,[status(thm)],[t167,t304]) ).
cnf(t306,plain,
apply(sFlat2,apply(sFlat5,X1)) = apply(sFlat6,X1),
inference(orient,[status(thm)],[t305]) ).
cnf(t225397,plain,
apply(X1,apply(apply(w1,X2),apply(sFlat6,X1))) = apply(apply(w1,apply(apply(sFlat5,X1),X2)),w1),
inference(step,[status(thm)],[t225396,t306]) ).
cnf(t309,plain,
apply(w1,apply(apply(sFlat5,X1),X2)) = apply(apply(sFlat6,X1),X2),
inference(cp,[status(thm)],[t159,t306]) ).
cnf(t647,plain,
apply(w1,apply(apply(sFlat5,X1),X2)) = apply(apply(sFlat6,X1),X2),
inference(orient,[status(thm)],[t309]) ).
cnf(t225398,plain,
apply(X1,apply(apply(w1,X2),apply(sFlat6,X1))) = apply(apply(apply(sFlat6,X1),X2),w1),
inference(step,[status(thm)],[t225397,t647]) ).
cnf(t217843,plain,
apply(X1,apply(apply(w1,X2),apply(sFlat6,X1))) = apply(apply(apply(sFlat6,X1),X2),w1),
inference(orient,[status(thm)],[t225398]) ).
cnf(t218031,plain,
apply(apply(apply(sFlat6,X1),w1),w1) = apply(X1,apply(sFlat0,apply(sFlat6,X1))),
inference(cp,[status(thm)],[t217843,t45]) ).
cnf(t46,plain,
apply(apply(X1,w1),w1) = apply(sFlat0,X1),
inference(cp,[status(thm)],[t15,t45]) ).
cnf(t65,plain,
apply(apply(X1,w1),w1) = apply(sFlat0,X1),
inference(orient,[status(thm)],[t46]) ).
cnf(t225399,plain,
apply(sFlat0,apply(sFlat6,X1)) = apply(X1,apply(sFlat0,apply(sFlat6,X1))),
inference(step,[status(thm)],[t218031,t65]) ).
cnf(t61,plain,
apply(sFlat0,apply(X1,X2)) = apply(apply(sFlat1,X1),X2),
inference(cp,[status(thm)],[t14,t60]) ).
cnf(t174,plain,
apply(apply(sFlat1,X1),X2) = apply(sFlat0,apply(X1,X2)),
inference(orient,[status(thm)],[t61]) ).
cnf(t176,plain,
apply(sFlat0,apply(sFlat6,X1)) = apply(sFlat7,X1),
inference(cp,[status(thm)],[t174,t55]) ).
cnf(t181,plain,
apply(sFlat0,apply(sFlat6,X1)) = apply(sFlat7,X1),
inference(orient,[status(thm)],[t176]) ).
cnf(t225400,plain,
apply(sFlat7,X1) = apply(X1,apply(sFlat0,apply(sFlat6,X1))),
inference(step,[status(thm)],[t225399,t181]) ).
cnf(t225401,plain,
apply(sFlat7,X1) = apply(X1,apply(sFlat7,X1)),
inference(step,[status(thm)],[t225400,t181]) ).
cnf(t218722,plain,
apply(X1,apply(sFlat7,X1)) = apply(sFlat7,X1),
inference(orient,[status(thm)],[t225401]) ).
cnf(t219019,plain,
true = ifeq(apply(sFlat7,fixed_pt),apply(sFlat7,fixed_pt),fixed_point(sFlat7),true),
inference(cp,[status(thm)],[t48,t218722]) ).
cnf(t0,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t13,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t225404,plain,
true = fixed_point(sFlat7),
inference(step,[status(thm)],[t219019,t13]) ).
cnf(t225405,plain,
true = sFlat8,
inference(step,[status(thm)],[t225404,t327]) ).
cnf(t219284,plain,
true = sFlat8,
inference(orient,[status(thm)],[t225405]) ).
cnf(f3,negated_conjecture,
~ fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f3_nnf,plain,
~ fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
~ fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
fixed_point(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))) != true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
fixed_point(apply(apply(b,sFlat0),apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))) != true,
inference(rw,[status(thm)],[goal_0,t45]) ).
cnf(g0_1,plain,
fixed_point(apply(sFlat1,apply(apply(b,apply(b,w1)),apply(apply(b,b),b)))) != true,
inference(rw,[status(thm)],[g0_0,t60]) ).
cnf(g0_2,plain,
fixed_point(apply(sFlat1,apply(apply(sFlat5,w1),apply(apply(b,b),b)))) != true,
inference(rw,[status(thm)],[g0_1,t105]) ).
cnf(g0_3,plain,
fixed_point(apply(sFlat1,apply(sFlat3,apply(apply(b,b),b)))) != true,
inference(rw,[status(thm)],[g0_2,t114]) ).
cnf(g0_4,plain,
fixed_point(apply(sFlat1,apply(sFlat3,apply(apply(w1,b),b)))) != true,
inference(rw,[status(thm)],[g0_3,t15]) ).
cnf(g0_5,plain,
fixed_point(apply(sFlat1,apply(sFlat3,apply(apply(w1,b),w1)))) != true,
inference(rw,[status(thm)],[g0_4,t15]) ).
cnf(g0_6,plain,
fixed_point(apply(sFlat1,apply(sFlat3,sFlat5))) != true,
inference(rw,[status(thm)],[g0_5,t28]) ).
cnf(g0_7,plain,
fixed_point(apply(sFlat1,sFlat6)) != true,
inference(rw,[status(thm)],[g0_6,t304]) ).
cnf(g0_8,plain,
fixed_point(sFlat7) != true,
inference(rw,[status(thm)],[g0_7,t55]) ).
cnf(g0_9,plain,
sFlat8 != true,
inference(rw,[status(thm)],[g0_8,t327]) ).
cnf(g0_10,plain,
sFlat8 != sFlat8,
inference(rw,[status(thm)],[g0_9,t219284]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL042-5 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 07:17:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 204.15/26.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 204.15/26.48 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------