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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : COL003-8 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n007.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 01:01:39 PM UTC 2026

% Result   : Unsatisfiable 23.07s 3.48s
% Output   : Proof 23.07s
% Verified : 

% Comments : 
%------------------------------------------------------------------------------
cnf(t4,axiom,
    sFlat0 = apply(w,w),
    introduced(definition) ).

cnf(t43,plain,
    apply(w,w) = sFlat0,
    inference(orient,[status(thm)],[t4]) ).

cnf(t5,axiom,
    sFlat1 = apply(b,apply(w,w)),
    introduced(definition) ).

cnf(t33,plain,
    apply(b,apply(w,w)) = sFlat1,
    inference(orient,[status(thm)],[t5]) ).

cnf(t1884,plain,
    apply(b,sFlat0) = sFlat1,
    inference(step,[status(thm)],[t33,t43]) ).

cnf(t46,plain,
    apply(b,sFlat0) = sFlat1,
    inference(rw,[status(thm)],[t1884]) ).

cnf(t56,plain,
    apply(b,sFlat0) = sFlat1,
    inference(orient,[status(thm)],[t46]) ).

cnf(t6,axiom,
    sFlat2 = apply(b,w),
    introduced(definition) ).

cnf(t40,plain,
    apply(b,w) = sFlat2,
    inference(orient,[status(thm)],[t6]) ).

cnf(t7,axiom,
    sFlat3 = apply(apply(b,apply(w,w)),apply(b,w)),
    introduced(definition) ).

cnf(t24,plain,
    apply(apply(b,apply(w,w)),apply(b,w)) = sFlat3,
    inference(orient,[status(thm)],[t7]) ).

cnf(t1882,plain,
    apply(sFlat1,apply(b,w)) = sFlat3,
    inference(step,[status(thm)],[t24,t33]) ).

cnf(t36,plain,
    apply(sFlat1,apply(b,w)) = sFlat3,
    inference(rw,[status(thm)],[t1882]) ).

cnf(t1891,plain,
    apply(sFlat1,sFlat2) = sFlat3,
    inference(step,[status(thm)],[t36,t40]) ).

cnf(t59,plain,
    apply(sFlat1,sFlat2) = sFlat3,
    inference(orient,[status(thm)],[t1891]) ).

cnf(t8,axiom,
    sFlat4 = apply(b,apply(apply(b,apply(w,w)),apply(b,w))),
    introduced(definition) ).

cnf(t1881,plain,
    sFlat4 = apply(b,sFlat3),
    inference(step,[status(thm)],[t8,t24]) ).

cnf(t30,plain,
    apply(b,sFlat3) = sFlat4,
    inference(orient,[status(thm)],[t1881]) ).

cnf(f1,axiom,
    apply(apply(w,X),Y) = apply(apply(X,Y),Y),
    file('/export/starexec/sandbox/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(t44,plain,
    apply(apply(w,X1),X1) = apply(sFlat0,X1),
    inference(cp,[status(thm)],[t15,t43]) ).

cnf(t60,plain,
    apply(apply(w,X1),X1) = apply(sFlat0,X1),
    inference(orient,[status(thm)],[t44]) ).

cnf(t61,plain,
    apply(sFlat0,X1) = apply(apply(X1,X1),X1),
    inference(cp,[status(thm)],[t60,t15]) ).

cnf(t70,plain,
    apply(apply(X1,X1),X1) = apply(sFlat0,X1),
    inference(orient,[status(thm)],[t61]) ).

cnf(t10,axiom,
    sFlat6 = apply(apply(b,b),b),
    introduced(definition) ).

cnf(t1879,plain,
    sFlat6 = apply(apply(w,b),b),
    inference(step,[status(thm)],[t10,t15]) ).

cnf(t1880,plain,
    sFlat6 = apply(apply(w,w),b),
    inference(step,[status(thm)],[t1879,t15]) ).

cnf(t28,plain,
    apply(apply(w,w),b) = sFlat6,
    inference(orient,[status(thm)],[t1880]) ).

cnf(t1883,plain,
    apply(sFlat0,b) = sFlat6,
    inference(step,[status(thm)],[t28,t43]) ).

cnf(t45,plain,
    apply(sFlat0,b) = sFlat6,
    inference(rw,[status(thm)],[t1883]) ).

cnf(t54,plain,
    apply(sFlat0,b) = sFlat6,
    inference(orient,[status(thm)],[t45]) ).

cnf(t11,axiom,
    sFlat7 = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b)),
    introduced(definition) ).

cnf(t1876,plain,
    sFlat7 = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(w,b),b)),
    inference(step,[status(thm)],[t11,t15]) ).

cnf(t1877,plain,
    sFlat7 = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(w,w),b)),
    inference(step,[status(thm)],[t1876,t15]) ).

cnf(t21,plain,
    apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(w,w),b)) = sFlat7,
    inference(orient,[status(thm)],[t1877]) ).

cnf(t1878,plain,
    apply(apply(b,sFlat3),apply(apply(w,w),b)) = sFlat7,
    inference(step,[status(thm)],[t21,t24]) ).

cnf(t27,plain,
    apply(apply(b,sFlat3),apply(apply(w,w),b)) = sFlat7,
    inference(rw,[status(thm)],[t1878]) ).

cnf(t1918,plain,
    apply(sFlat4,apply(apply(w,w),b)) = sFlat7,
    inference(step,[status(thm)],[t27,t30]) ).

cnf(t1919,plain,
    apply(sFlat4,apply(sFlat0,b)) = sFlat7,
    inference(step,[status(thm)],[t1918,t43]) ).

cnf(t1920,plain,
    apply(sFlat4,sFlat6) = sFlat7,
    inference(step,[status(thm)],[t1919,t54]) ).

cnf(t614,plain,
    apply(sFlat4,sFlat6) = sFlat7,
    inference(orient,[status(thm)],[t1920]) ).

cnf(t12,axiom,
    sFlat8 = fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b))),
    introduced(definition) ).

cnf(t1885,plain,
    sFlat8 = fixed_point(apply(apply(b,apply(apply(b,sFlat0),apply(b,w))),apply(apply(b,b),b))),
    inference(step,[status(thm)],[t12,t43]) ).

cnf(t1886,plain,
    sFlat8 = fixed_point(apply(apply(b,apply(apply(b,sFlat0),sFlat2)),apply(apply(b,b),b))),
    inference(step,[status(thm)],[t1885,t40]) ).

cnf(t1887,plain,
    sFlat8 = fixed_point(apply(apply(b,apply(apply(b,sFlat0),sFlat2)),apply(apply(w,b),b))),
    inference(step,[status(thm)],[t1886,t15]) ).

cnf(t1888,plain,
    sFlat8 = fixed_point(apply(apply(b,apply(apply(b,sFlat0),sFlat2)),apply(apply(w,w),b))),
    inference(step,[status(thm)],[t1887,t15]) ).

cnf(t1889,plain,
    sFlat8 = fixed_point(apply(apply(b,apply(apply(b,sFlat0),sFlat2)),apply(sFlat0,b))),
    inference(step,[status(thm)],[t1888,t43]) ).

cnf(t52,plain,
    fixed_point(apply(apply(b,apply(apply(b,sFlat0),sFlat2)),apply(sFlat0,b))) = sFlat8,
    inference(orient,[status(thm)],[t1889]) ).

cnf(t1890,plain,
    fixed_point(apply(apply(b,apply(apply(b,sFlat0),sFlat2)),sFlat6)) = sFlat8,
    inference(step,[status(thm)],[t52,t54]) ).

cnf(t55,plain,
    fixed_point(apply(apply(b,apply(apply(b,sFlat0),sFlat2)),sFlat6)) = sFlat8,
    inference(rw,[status(thm)],[t1890]) ).

cnf(t1931,plain,
    fixed_point(apply(apply(b,apply(sFlat1,sFlat2)),sFlat6)) = sFlat8,
    inference(step,[status(thm)],[t55,t56]) ).

cnf(t1932,plain,
    fixed_point(apply(apply(b,sFlat3),sFlat6)) = sFlat8,
    inference(step,[status(thm)],[t1931,t59]) ).

cnf(t1933,plain,
    fixed_point(apply(sFlat4,sFlat6)) = sFlat8,
    inference(step,[status(thm)],[t1932,t30]) ).

cnf(t1934,plain,
    fixed_point(sFlat7) = sFlat8,
    inference(step,[status(thm)],[t1933,t614]) ).

cnf(t916,plain,
    fixed_point(sFlat7) = sFlat8,
    inference(orient,[status(thm)],[t1934]) ).

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(t47,plain,
    ifeq(apply(X1,fixed_pt),apply(fixed_pt,apply(X1,fixed_pt)),fixed_point(X1),true) = true,
    inference(orient,[status(thm)],[t3]) ).

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(t16,plain,
    apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)),
    inference(cp,[status(thm)],[t15,t14]) ).

cnf(t156,plain,
    apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)),
    inference(orient,[status(thm)],[t16]) ).

cnf(t176,plain,
    apply(X1,apply(apply(X2,X2),X3)) = apply(apply(apply(w,apply(b,apply(b,X1))),X2),X3),
    inference(cp,[status(thm)],[t14,t156]) ).

cnf(t9,axiom,
    sFlat5 = apply(b,b),
    introduced(definition) ).

cnf(t37,plain,
    apply(b,b) = sFlat5,
    inference(orient,[status(thm)],[t9]) ).

cnf(t38,plain,
    apply(b,apply(X1,X2)) = apply(apply(sFlat5,X1),X2),
    inference(cp,[status(thm)],[t14,t37]) ).

cnf(t83,plain,
    apply(apply(sFlat5,X1),X2) = apply(b,apply(X1,X2)),
    inference(orient,[status(thm)],[t38]) ).

cnf(t39,plain,
    apply(apply(w,b),b) = apply(sFlat5,b),
    inference(cp,[status(thm)],[t15,t37]) ).

cnf(t1892,plain,
    apply(sFlat0,b) = apply(sFlat5,b),
    inference(step,[status(thm)],[t39,t60]) ).

cnf(t1893,plain,
    sFlat6 = apply(sFlat5,b),
    inference(step,[status(thm)],[t1892,t54]) ).

cnf(t67,plain,
    apply(sFlat5,b) = sFlat6,
    inference(orient,[status(thm)],[t1893]) ).

cnf(t85,plain,
    apply(b,apply(b,X1)) = apply(sFlat6,X1),
    inference(cp,[status(thm)],[t83,t67]) ).

cnf(t96,plain,
    apply(b,apply(b,X1)) = apply(sFlat6,X1),
    inference(orient,[status(thm)],[t85]) ).

cnf(t1944,plain,
    apply(X1,apply(apply(X2,X2),X3)) = apply(apply(apply(w,apply(sFlat6,X1)),X2),X3),
    inference(step,[status(thm)],[t176,t96]) ).

cnf(t1265,plain,
    apply(X1,apply(apply(X2,X2),X3)) = apply(apply(apply(w,apply(sFlat6,X1)),X2),X3),
    inference(orient,[status(thm)],[t1944]) ).

cnf(t1276,plain,
    apply(X1,apply(apply(X2,X2),X2)) = apply(apply(w,apply(w,apply(sFlat6,X1))),X2),
    inference(cp,[status(thm)],[t1265,t15]) ).

cnf(t1952,plain,
    apply(X1,apply(sFlat0,X2)) = apply(apply(w,apply(w,apply(sFlat6,X1))),X2),
    inference(step,[status(thm)],[t1276,t70]) ).

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(t344,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(t1894,plain,
    apply(apply(w,apply(X1,X2)),X2) = apply(apply(w,apply(w,X1)),X2),
    inference(step,[status(thm)],[t19,t15]) ).

cnf(t194,plain,
    apply(apply(w,apply(X1,X2)),X2) = apply(apply(w,apply(w,X1)),X2),
    inference(orient,[status(thm)],[t1894]) ).

cnf(t369,plain,
    apply(apply(w,apply(apply(b,w),X1)),X2) = apply(apply(w,apply(w,X1)),X2),
    inference(cp,[status(thm)],[t344,t194]) ).

cnf(t1913,plain,
    apply(apply(w,apply(sFlat2,X1)),X2) = apply(apply(w,apply(w,X1)),X2),
    inference(step,[status(thm)],[t369,t40]) ).

cnf(t569,plain,
    apply(apply(w,apply(w,X1)),X2) = apply(apply(w,apply(sFlat2,X1)),X2),
    inference(orient,[status(thm)],[t1913]) ).

cnf(t1953,plain,
    apply(X1,apply(sFlat0,X2)) = apply(apply(w,apply(sFlat2,apply(sFlat6,X1))),X2),
    inference(step,[status(thm)],[t1952,t569]) ).

cnf(t1755,plain,
    apply(apply(w,apply(sFlat2,apply(sFlat6,X1))),X2) = apply(X1,apply(sFlat0,X2)),
    inference(orient,[status(thm)],[t1953]) ).

cnf(t1757,plain,
    apply(X1,apply(sFlat0,apply(sFlat2,apply(sFlat6,X1)))) = apply(sFlat0,apply(sFlat2,apply(sFlat6,X1))),
    inference(cp,[status(thm)],[t1755,t60]) ).

cnf(t57,plain,
    apply(sFlat0,apply(X1,X2)) = apply(apply(sFlat1,X1),X2),
    inference(cp,[status(thm)],[t14,t56]) ).

cnf(t122,plain,
    apply(apply(sFlat1,X1),X2) = apply(sFlat0,apply(X1,X2)),
    inference(orient,[status(thm)],[t57]) ).

cnf(t124,plain,
    apply(sFlat0,apply(sFlat2,X1)) = apply(sFlat3,X1),
    inference(cp,[status(thm)],[t122,t59]) ).

cnf(t129,plain,
    apply(sFlat0,apply(sFlat2,X1)) = apply(sFlat3,X1),
    inference(orient,[status(thm)],[t124]) ).

cnf(t1954,plain,
    apply(X1,apply(sFlat3,apply(sFlat6,X1))) = apply(sFlat0,apply(sFlat2,apply(sFlat6,X1))),
    inference(step,[status(thm)],[t1757,t129]) ).

cnf(t31,plain,
    apply(sFlat3,apply(X1,X2)) = apply(apply(sFlat4,X1),X2),
    inference(cp,[status(thm)],[t14,t30]) ).

cnf(t77,plain,
    apply(apply(sFlat4,X1),X2) = apply(sFlat3,apply(X1,X2)),
    inference(orient,[status(thm)],[t31]) ).

cnf(t615,plain,
    apply(sFlat3,apply(sFlat6,X1)) = apply(sFlat7,X1),
    inference(cp,[status(thm)],[t77,t614]) ).

cnf(t619,plain,
    apply(sFlat3,apply(sFlat6,X1)) = apply(sFlat7,X1),
    inference(orient,[status(thm)],[t615]) ).

cnf(t1955,plain,
    apply(X1,apply(sFlat7,X1)) = apply(sFlat0,apply(sFlat2,apply(sFlat6,X1))),
    inference(step,[status(thm)],[t1954,t619]) ).

cnf(t1956,plain,
    apply(X1,apply(sFlat7,X1)) = apply(sFlat3,apply(sFlat6,X1)),
    inference(step,[status(thm)],[t1955,t129]) ).

cnf(t1957,plain,
    apply(X1,apply(sFlat7,X1)) = apply(sFlat7,X1),
    inference(step,[status(thm)],[t1956,t619]) ).

cnf(t1795,plain,
    apply(X1,apply(sFlat7,X1)) = apply(sFlat7,X1),
    inference(orient,[status(thm)],[t1957]) ).

cnf(t1840,plain,
    true = ifeq(apply(sFlat7,fixed_pt),apply(sFlat7,fixed_pt),fixed_point(sFlat7),true),
    inference(cp,[status(thm)],[t47,t1795]) ).

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(t1958,plain,
    true = fixed_point(sFlat7),
    inference(step,[status(thm)],[t1840,t13]) ).

cnf(t1959,plain,
    true = sFlat8,
    inference(step,[status(thm)],[t1958,t916]) ).

cnf(t1873,plain,
    true = sFlat8,
    inference(orient,[status(thm)],[t1959]) ).

cnf(f3,negated_conjecture,
    ~ fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),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(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b))),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ~ fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b))),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ~ fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b))),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(goal_0,negated_conjecture,
    fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b))) != true,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(g0_0,plain,
    fixed_point(apply(apply(b,apply(apply(b,sFlat0),apply(b,w))),apply(apply(b,b),b))) != true,
    inference(rw,[status(thm)],[goal_0,t43]) ).

cnf(g0_1,plain,
    fixed_point(apply(apply(b,apply(sFlat1,apply(b,w))),apply(apply(b,b),b))) != true,
    inference(rw,[status(thm)],[g0_0,t56]) ).

cnf(g0_2,plain,
    fixed_point(apply(apply(b,apply(sFlat1,sFlat2)),apply(apply(b,b),b))) != true,
    inference(rw,[status(thm)],[g0_1,t40]) ).

cnf(g0_3,plain,
    fixed_point(apply(apply(b,sFlat3),apply(apply(b,b),b))) != true,
    inference(rw,[status(thm)],[g0_2,t59]) ).

cnf(g0_4,plain,
    fixed_point(apply(sFlat4,apply(apply(b,b),b))) != true,
    inference(rw,[status(thm)],[g0_3,t30]) ).

cnf(g0_5,plain,
    fixed_point(apply(sFlat4,apply(sFlat0,b))) != true,
    inference(rw,[status(thm)],[g0_4,t70]) ).

cnf(g0_6,plain,
    fixed_point(apply(sFlat4,sFlat6)) != true,
    inference(rw,[status(thm)],[g0_5,t54]) ).

cnf(g0_7,plain,
    fixed_point(sFlat7) != true,
    inference(rw,[status(thm)],[g0_6,t614]) ).

cnf(g0_8,plain,
    sFlat8 != true,
    inference(rw,[status(thm)],[g0_7,t916]) ).

cnf(g0_9,plain,
    sFlat8 != sFlat8,
    inference(rw,[status(thm)],[g0_8,t1873]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COL003-8 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37  % Computer : n007.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 : Fri Sep 25 07:08:08 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.07/3.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.07/3.48  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------