%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COL003-7 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 01:01:37 PM UTC 2026
% Result : Unsatisfiable 22.71s 3.24s
% Output : Proof 22.71s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t12,axiom,
sFlat8 = fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)),
introduced(definition) ).
cnf(t4,axiom,
sFlat0 = apply(w,w),
introduced(definition) ).
cnf(t47,plain,
apply(w,w) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t14859,plain,
sFlat8 = fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,sFlat0),apply(b,w))),b)),b)),
inference(step,[status(thm)],[t12,t47]) ).
cnf(t6,axiom,
sFlat2 = apply(b,w),
introduced(definition) ).
cnf(t44,plain,
apply(b,w) = sFlat2,
inference(orient,[status(thm)],[t6]) ).
cnf(t14860,plain,
sFlat8 = fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,sFlat0),sFlat2)),b)),b)),
inference(step,[status(thm)],[t14859,t44]) ).
cnf(t57,plain,
fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,sFlat0),sFlat2)),b)),b)) = sFlat8,
inference(orient,[status(thm)],[t14860]) ).
cnf(t5,axiom,
sFlat1 = apply(b,apply(w,w)),
introduced(definition) ).
cnf(t40,plain,
apply(b,apply(w,w)) = sFlat1,
inference(orient,[status(thm)],[t5]) ).
cnf(t14858,plain,
apply(b,sFlat0) = sFlat1,
inference(step,[status(thm)],[t40,t47]) ).
cnf(t49,plain,
apply(b,sFlat0) = sFlat1,
inference(rw,[status(thm)],[t14858]) ).
cnf(t59,plain,
apply(b,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t49]) ).
cnf(t14861,plain,
fixed_point(apply(apply(b,apply(apply(b,apply(sFlat1,sFlat2)),b)),b)) = sFlat8,
inference(step,[status(thm)],[t57,t59]) ).
cnf(t62,plain,
fixed_point(apply(apply(b,apply(apply(b,apply(sFlat1,sFlat2)),b)),b)) = sFlat8,
inference(rw,[status(thm)],[t14861]) ).
cnf(t7,axiom,
sFlat3 = apply(apply(b,apply(w,w)),apply(b,w)),
introduced(definition) ).
cnf(t29,plain,
apply(apply(b,apply(w,w)),apply(b,w)) = sFlat3,
inference(orient,[status(thm)],[t7]) ).
cnf(t14857,plain,
apply(sFlat1,apply(b,w)) = sFlat3,
inference(step,[status(thm)],[t29,t40]) ).
cnf(t43,plain,
apply(sFlat1,apply(b,w)) = sFlat3,
inference(rw,[status(thm)],[t14857]) ).
cnf(t14865,plain,
apply(sFlat1,sFlat2) = sFlat3,
inference(step,[status(thm)],[t43,t44]) ).
cnf(t72,plain,
apply(sFlat1,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t14865]) ).
cnf(t14986,plain,
fixed_point(apply(apply(b,apply(apply(b,sFlat3),b)),b)) = sFlat8,
inference(step,[status(thm)],[t62,t72]) ).
cnf(t8,axiom,
sFlat4 = apply(b,apply(apply(b,apply(w,w)),apply(b,w))),
introduced(definition) ).
cnf(t14855,plain,
sFlat4 = apply(b,sFlat3),
inference(step,[status(thm)],[t8,t29]) ).
cnf(t36,plain,
apply(b,sFlat3) = sFlat4,
inference(orient,[status(thm)],[t14855]) ).
cnf(t14987,plain,
fixed_point(apply(apply(b,apply(sFlat4,b)),b)) = sFlat8,
inference(step,[status(thm)],[t14986,t36]) ).
cnf(t9,axiom,
sFlat5 = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),
introduced(definition) ).
cnf(t25,plain,
apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b) = sFlat5,
inference(orient,[status(thm)],[t9]) ).
cnf(t14853,plain,
apply(apply(b,sFlat3),b) = sFlat5,
inference(step,[status(thm)],[t25,t29]) ).
cnf(t32,plain,
apply(apply(b,sFlat3),b) = sFlat5,
inference(rw,[status(thm)],[t14853]) ).
cnf(t14862,plain,
apply(sFlat4,b) = sFlat5,
inference(step,[status(thm)],[t32,t36]) ).
cnf(t66,plain,
apply(sFlat4,b) = sFlat5,
inference(orient,[status(thm)],[t14862]) ).
cnf(t14988,plain,
fixed_point(apply(apply(b,sFlat5),b)) = sFlat8,
inference(step,[status(thm)],[t14987,t66]) ).
cnf(t10,axiom,
sFlat6 = apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),
introduced(definition) ).
cnf(t14854,plain,
sFlat6 = apply(b,apply(apply(b,sFlat3),b)),
inference(step,[status(thm)],[t10,t29]) ).
cnf(t33,plain,
apply(b,apply(apply(b,sFlat3),b)) = sFlat6,
inference(orient,[status(thm)],[t14854]) ).
cnf(t14856,plain,
apply(b,apply(sFlat4,b)) = sFlat6,
inference(step,[status(thm)],[t33,t36]) ).
cnf(t39,plain,
apply(b,apply(sFlat4,b)) = sFlat6,
inference(rw,[status(thm)],[t14856]) ).
cnf(t14863,plain,
apply(b,sFlat5) = sFlat6,
inference(step,[status(thm)],[t39,t66]) ).
cnf(t67,plain,
apply(b,sFlat5) = sFlat6,
inference(orient,[status(thm)],[t14863]) ).
cnf(t14989,plain,
fixed_point(apply(sFlat6,b)) = sFlat8,
inference(step,[status(thm)],[t14988,t67]) ).
cnf(t11,axiom,
sFlat7 = apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),
introduced(definition) ).
cnf(t22,plain,
apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b) = sFlat7,
inference(orient,[status(thm)],[t11]) ).
cnf(t14852,plain,
apply(apply(b,sFlat5),b) = sFlat7,
inference(step,[status(thm)],[t22,t25]) ).
cnf(t28,plain,
apply(apply(b,sFlat5),b) = sFlat7,
inference(rw,[status(thm)],[t14852]) ).
cnf(t63,plain,
apply(apply(b,sFlat5),b) = sFlat7,
inference(orient,[status(thm)],[t28]) ).
cnf(t14864,plain,
apply(sFlat6,b) = sFlat7,
inference(step,[status(thm)],[t63,t67]) ).
cnf(t70,plain,
apply(sFlat6,b) = sFlat7,
inference(rw,[status(thm)],[t14864]) ).
cnf(t71,plain,
apply(sFlat6,b) = sFlat7,
inference(orient,[status(thm)],[t70]) ).
cnf(t14990,plain,
fixed_point(sFlat7) = sFlat8,
inference(step,[status(thm)],[t14989,t71]) ).
cnf(t2034,plain,
fixed_point(sFlat7) = sFlat8,
inference(orient,[status(thm)],[t14990]) ).
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/sandbox2/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(t50,plain,
ifeq(apply(X1,fixed_pt),apply(fixed_pt,apply(X1,fixed_pt)),fixed_point(X1),true) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(f1,axiom,
apply(apply(w,X),Y) = apply(apply(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).
fof(f1_nnf,plain,
! [X,Y] : apply(apply(w,X),Y) = apply(apply(X,Y),Y),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] : apply(apply(w,X),Y) = apply(apply(X,Y),Y),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t1,plain,
apply(apply(w,X1),X2) = apply(apply(X1,X2),X2),
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t15,plain,
apply(apply(X1,X2),X2) = apply(apply(w,X1),X2),
inference(orient,[status(thm)],[t1]) ).
cnf(t48,plain,
apply(apply(w,X1),X1) = apply(sFlat0,X1),
inference(cp,[status(thm)],[t15,t47]) ).
cnf(t77,plain,
apply(apply(w,X1),X1) = apply(sFlat0,X1),
inference(orient,[status(thm)],[t48]) ).
cnf(t79,plain,
true = ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(apply(w,fixed_pt),fixed_pt)),fixed_point(apply(w,fixed_pt)),true),
inference(cp,[status(thm)],[t50,t77]) ).
cnf(t15147,plain,
true = ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(w,fixed_pt)),true),
inference(step,[status(thm)],[t79,t77]) ).
cnf(t7854,plain,
ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(w,fixed_pt)),true) = true,
inference(orient,[status(thm)],[t15147]) ).
cnf(t78,plain,
apply(sFlat0,X1) = apply(apply(X1,X1),X1),
inference(cp,[status(thm)],[t77,t15]) ).
cnf(t86,plain,
apply(apply(X1,X1),X1) = apply(sFlat0,X1),
inference(orient,[status(thm)],[t78]) ).
cnf(t90,plain,
true = ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(apply(fixed_pt,fixed_pt),fixed_pt)),fixed_point(apply(fixed_pt,fixed_pt)),true),
inference(cp,[status(thm)],[t50,t86]) ).
cnf(t15186,plain,
true = ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(fixed_pt,fixed_pt)),true),
inference(step,[status(thm)],[t90,t86]) ).
cnf(t10511,plain,
ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(fixed_pt,fixed_pt)),true) = true,
inference(orient,[status(thm)],[t15186]) ).
cnf(f0,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox2/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(t16,plain,
apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)),
inference(cp,[status(thm)],[t15,t14]) ).
cnf(t177,plain,
apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)),
inference(orient,[status(thm)],[t16]) ).
cnf(t186,plain,
apply(apply(w,apply(w,apply(b,X1))),X2) = apply(apply(X1,apply(X2,X2)),X2),
inference(cp,[status(thm)],[t15,t177]) ).
cnf(t17,plain,
apply(apply(w,apply(apply(b,X1),X2)),X3) = apply(apply(X1,apply(X2,X3)),X3),
inference(cp,[status(thm)],[t15,t14]) ).
cnf(t794,plain,
apply(apply(w,apply(apply(b,X1),X2)),X3) = apply(apply(X1,apply(X2,X3)),X3),
inference(orient,[status(thm)],[t17]) ).
cnf(t19,plain,
apply(apply(w,apply(X1,X2)),X2) = apply(apply(apply(w,X1),X2),X2),
inference(cp,[status(thm)],[t15,t15]) ).
cnf(t14876,plain,
apply(apply(w,apply(X1,X2)),X2) = apply(apply(w,apply(w,X1)),X2),
inference(step,[status(thm)],[t19,t15]) ).
cnf(t263,plain,
apply(apply(w,apply(X1,X2)),X2) = apply(apply(w,apply(w,X1)),X2),
inference(orient,[status(thm)],[t14876]) ).
cnf(t821,plain,
apply(apply(w,apply(apply(b,w),X1)),X2) = apply(apply(w,apply(w,X1)),X2),
inference(cp,[status(thm)],[t794,t263]) ).
cnf(t14911,plain,
apply(apply(w,apply(sFlat2,X1)),X2) = apply(apply(w,apply(w,X1)),X2),
inference(step,[status(thm)],[t821,t44]) ).
cnf(t989,plain,
apply(apply(w,apply(w,X1)),X2) = apply(apply(w,apply(sFlat2,X1)),X2),
inference(orient,[status(thm)],[t14911]) ).
cnf(t15242,plain,
apply(apply(w,apply(sFlat2,apply(b,X1))),X2) = apply(apply(X1,apply(X2,X2)),X2),
inference(step,[status(thm)],[t186,t989]) ).
cnf(t12438,plain,
apply(apply(w,apply(sFlat2,apply(b,X1))),X2) = apply(apply(X1,apply(X2,X2)),X2),
inference(orient,[status(thm)],[t15242]) ).
cnf(t12494,plain,
apply(apply(w,apply(sFlat2,apply(b,apply(b,X1)))),X2) = apply(X1,apply(apply(X2,X2),X2)),
inference(cp,[status(thm)],[t12438,t14]) ).
cnf(t15321,plain,
apply(apply(w,apply(sFlat2,apply(b,apply(b,X1)))),X2) = apply(X1,apply(sFlat0,X2)),
inference(step,[status(thm)],[t12494,t86]) ).
cnf(t14584,plain,
apply(apply(w,apply(sFlat2,apply(b,apply(b,X1)))),X2) = apply(X1,apply(sFlat0,X2)),
inference(orient,[status(thm)],[t15321]) ).
cnf(t14587,plain,
apply(X1,apply(sFlat0,apply(sFlat2,apply(b,apply(b,X1))))) = apply(sFlat0,apply(sFlat2,apply(b,apply(b,X1)))),
inference(cp,[status(thm)],[t14584,t77]) ).
cnf(t60,plain,
apply(sFlat0,apply(X1,X2)) = apply(apply(sFlat1,X1),X2),
inference(cp,[status(thm)],[t14,t59]) ).
cnf(t126,plain,
apply(apply(sFlat1,X1),X2) = apply(sFlat0,apply(X1,X2)),
inference(orient,[status(thm)],[t60]) ).
cnf(t129,plain,
apply(sFlat0,apply(sFlat2,X1)) = apply(sFlat3,X1),
inference(cp,[status(thm)],[t126,t72]) ).
cnf(t136,plain,
apply(sFlat0,apply(sFlat2,X1)) = apply(sFlat3,X1),
inference(orient,[status(thm)],[t129]) ).
cnf(t15322,plain,
apply(X1,apply(sFlat3,apply(b,apply(b,X1)))) = apply(sFlat0,apply(sFlat2,apply(b,apply(b,X1)))),
inference(step,[status(thm)],[t14587,t136]) ).
cnf(t37,plain,
apply(sFlat3,apply(X1,X2)) = apply(apply(sFlat4,X1),X2),
inference(cp,[status(thm)],[t14,t36]) ).
cnf(t93,plain,
apply(apply(sFlat4,X1),X2) = apply(sFlat3,apply(X1,X2)),
inference(orient,[status(thm)],[t37]) ).
cnf(t96,plain,
apply(sFlat3,apply(b,X1)) = apply(sFlat5,X1),
inference(cp,[status(thm)],[t93,t66]) ).
cnf(t103,plain,
apply(sFlat3,apply(b,X1)) = apply(sFlat5,X1),
inference(orient,[status(thm)],[t96]) ).
cnf(t15323,plain,
apply(X1,apply(sFlat5,apply(b,X1))) = apply(sFlat0,apply(sFlat2,apply(b,apply(b,X1)))),
inference(step,[status(thm)],[t15322,t103]) ).
cnf(t68,plain,
apply(sFlat5,apply(X1,X2)) = apply(apply(sFlat6,X1),X2),
inference(cp,[status(thm)],[t14,t67]) ).
cnf(t138,plain,
apply(apply(sFlat6,X1),X2) = apply(sFlat5,apply(X1,X2)),
inference(orient,[status(thm)],[t68]) ).
cnf(t141,plain,
apply(sFlat5,apply(b,X1)) = apply(sFlat7,X1),
inference(cp,[status(thm)],[t138,t71]) ).
cnf(t148,plain,
apply(sFlat5,apply(b,X1)) = apply(sFlat7,X1),
inference(orient,[status(thm)],[t141]) ).
cnf(t15324,plain,
apply(X1,apply(sFlat7,X1)) = apply(sFlat0,apply(sFlat2,apply(b,apply(b,X1)))),
inference(step,[status(thm)],[t15323,t148]) ).
cnf(t15325,plain,
apply(X1,apply(sFlat7,X1)) = apply(sFlat3,apply(b,apply(b,X1))),
inference(step,[status(thm)],[t15324,t136]) ).
cnf(t15326,plain,
apply(X1,apply(sFlat7,X1)) = apply(sFlat5,apply(b,X1)),
inference(step,[status(thm)],[t15325,t103]) ).
cnf(t15327,plain,
apply(X1,apply(sFlat7,X1)) = apply(sFlat7,X1),
inference(step,[status(thm)],[t15326,t148]) ).
cnf(t14700,plain,
apply(X1,apply(sFlat7,X1)) = apply(sFlat7,X1),
inference(orient,[status(thm)],[t15327]) ).
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(f3,negated_conjecture,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f3_nnf,plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
fixed_point(apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)) != true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
fixed_point(sFlat7) != true,
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
sFlat8 != true,
inference(rw,[status(thm)],[g0_0,t2034]) ).
cnf(g0_2,plain,
sFlat8 != ifeq(apply(sFlat7,fixed_pt),apply(fixed_pt,apply(sFlat7,fixed_pt)),sFlat8,true),
inference(rw,[status(thm)],[g0_1]) ).
cnf(g0_3,plain,
sFlat8 != ifeq(apply(sFlat7,fixed_pt),apply(fixed_pt,apply(sFlat7,fixed_pt)),sFlat8,ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(w,fixed_pt)),true)),
inference(rw,[status(thm)],[g0_2,t7854]) ).
cnf(g0_4,plain,
sFlat8 != ifeq(apply(sFlat7,fixed_pt),apply(fixed_pt,apply(sFlat7,fixed_pt)),sFlat8,ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(w,fixed_pt)),ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(fixed_pt,fixed_pt)),true))),
inference(rw,[status(thm)],[g0_3,t10511]) ).
cnf(g0_5,plain,
sFlat8 != ifeq(apply(sFlat7,fixed_pt),apply(sFlat7,fixed_pt),sFlat8,ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(w,fixed_pt)),ifeq(apply(sFlat0,fixed_pt),apply(fixed_pt,apply(sFlat0,fixed_pt)),fixed_point(apply(fixed_pt,fixed_pt)),true))),
inference(rw,[status(thm)],[g0_4,t14700]) ).
cnf(g0_6,plain,
sFlat8 != sFlat8,
inference(rw,[status(thm)],[g0_5,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COL003-7 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 07:09:50 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.71/3.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.71/3.24 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------