0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
0.11/0.36	% Computer : n006.cluster.edu
0.11/0.36	% Model    : x86_64 x86_64
0.11/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.36	% Memory   : 8046.5625MB
0.11/0.36	% OS       : Linux 6.8.0-71-generic
0.11/0.36	% CPULimit : 1440
0.11/0.36	% WCLimit  : 180
0.11/0.36	% DateTime : Mon Jul 27 09:24:34 UTC 2026
0.11/0.36	% CPUTime  : 
0.11/0.36	Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 180
55.37/7.53	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
55.37/7.53	% SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
55.37/7.53	fof(f34, axiom, ! [X,X2] : eY != x2(X,X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_027)).
55.37/7.53	fof(f34_nnf, plain, ! [X,X2] : (eY != x2(X,X2)), inference(nnf_transformation, [status(thm)], [f34])).
55.37/7.53	fof(f34_sk, plain, ! [X,X2] : (eY != x2(X,X2)), inference(skolemisation, [status(esa)], [f34_nnf])).
55.37/7.53	cnf(c34, plain, eY != x2(X0,X1), inference(cnf_transformation, [status(esa)], [f34_sk])).
55.37/7.53	cnf(t96, plain, ifeq(eY,x2(X1,X2),false,true) = true, inference(equality_encoding, [status(esa)], [c34])).
55.37/7.53	cnf(t1720, plain, ifeq(eY,x2(X1,X2),false,true) = true, inference(orient, [status(thm)], [t96])).
55.37/7.53	fof(f36, axiom, ! [X,X2] : proj12(x2(X,X2)) = X, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_021)).
55.37/7.53	fof(f36_nnf, plain, ! [X,X2] : (proj12(x2(X,X2)) = X), inference(nnf_transformation, [status(thm)], [f36])).
55.37/7.53	fof(f36_sk, plain, ! [X,X2] : (proj12(x2(X,X2)) = X), inference(skolemisation, [status(esa)], [f36_nnf])).
55.37/7.53	cnf(c36, plain, proj12(x2(X0,X1)) = X0, inference(cnf_transformation, [status(esa)], [f36_sk])).
55.37/7.53	cnf(t26, plain, proj12(x2(X1,X2)) = X1, inference(equality_encoding, [status(esa)], [c36])).
55.37/7.53	cnf(t261, plain, proj12(x2(X1,X2)) = X1, inference(orient, [status(thm)], [t26])).
55.37/7.53	fof(f10, conjecture, ? [U,V] : ~ ( assoc(V) = assoc(U) <= lin(U) = lin(V) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goal_041)).
55.37/7.53	fof(f10_neg, negated_conjecture, ~(? [U,V] : ~ ( assoc(V) = assoc(U) <= lin(U) = lin(V) )), inference(negated_conjecture, [status(cth)], [f10])).
55.37/7.53	fof(f10_nnf, plain, ! [U,V] : ((lin(U) != lin(V) | assoc(V) = assoc(U))), inference(nnf_transformation, [status(thm)], [f10_neg])).
55.37/7.53	fof(f10_sk, plain, ! [U,V] : ((lin(U) != lin(V) | assoc(V) = assoc(U))), inference(skolemisation, [status(esa)], [f10_nnf])).
55.37/7.53	cnf(c10, plain, lin(X0) != lin(X1) | assoc(X1) = assoc(X0), inference(cnf_transformation, [status(esa)], [f10_sk])).
55.37/7.53	cnf(t129, plain, ifeq(lin(X1),lin(X2),assoc(X2),assoc(X1)) = assoc(X1), inference(equality_encoding, [status(esa)], [c10])).
55.37/7.53	cnf(t267, plain, ifeq(lin(X1),lin(X2),assoc(X2),assoc(X1)) = assoc(X1), inference(orient, [status(thm)], [t129])).
55.37/7.53	fof(f17, axiom, ! [A2,B2] : assoc(x2(A2,B2)) = x2(assoc(A2),assoc(B2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_032)).
55.37/7.53	fof(f17_nnf, plain, ! [A2,B2] : (assoc(x2(A2,B2)) = x2(assoc(A2),assoc(B2))), inference(nnf_transformation, [status(thm)], [f17])).
55.37/7.53	fof(f17_sk, plain, ! [A2,B2] : (assoc(x2(A2,B2)) = x2(assoc(A2),assoc(B2))), inference(skolemisation, [status(esa)], [f17_nnf])).
55.37/7.53	cnf(c17, plain, assoc(x2(X0,X1)) = x2(assoc(X0),assoc(X1)), inference(cnf_transformation, [status(esa)], [f17_sk])).
55.37/7.53	cnf(t103, plain, x2(assoc(X1),assoc(X2)) = assoc(x2(X1,X2)), inference(equality_encoding, [status(esa)], [c17])).
55.37/7.53	cnf(t1542, plain, x2(assoc(X1),assoc(X2)) = assoc(x2(X1,X2)), inference(orient, [status(thm)], [t103])).
55.37/7.53	cnf(t97, plain, ifeq(eq(X1,X2),true,X1,X2) = X2, introduced(definition)).
55.37/7.53	cnf(t260, plain, ifeq(eq(X1,X2),true,X1,X2) = X2, inference(orient, [status(thm)], [t97])).
55.37/7.53	fof(f27, axiom, ! [X] : ( z(proj1(X),proj2(X)) != X => ( assoc(X) = X <= X != x2(proj12(X),proj22(X)) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_029)).
55.37/7.53	fof(f27_nnf, plain, ! [X] : ((z(proj1(X),proj2(X)) = X | (X = x2(proj12(X),proj22(X)) | assoc(X) = X))), inference(nnf_transformation, [status(thm)], [f27])).
55.37/7.53	fof(f27_sk, plain, ! [X] : ((z(proj1(X),proj2(X)) = X | (X = x2(proj12(X),proj22(X)) | assoc(X) = X))), inference(skolemisation, [status(esa)], [f27_nnf])).
55.37/7.53	cnf(c27, plain, z(proj1(X0),proj2(X0)) = X0 | X0 = x2(proj12(X0),proj22(X0)) | assoc(X0) = X0, inference(cnf_transformation, [status(esa)], [f27_sk])).
55.37/7.53	cnf(t250, plain, or(eq(z(proj1(X1),proj2(X1)),X1),or(eq(X1,x2(proj12(X1),proj22(X1))),eq(assoc(X1),X1))) = true, inference(equality_encoding, [status(esa)], [c27])).
55.37/7.53	cnf(t1676, plain, or(eq(z(proj1(X1),proj2(X1)),X1),or(eq(X1,x2(proj12(X1),proj22(X1))),eq(assoc(X1),X1))) = true, inference(orient, [status(thm)], [t250])).
55.37/7.53	fof(f1, axiom, ! [X,X2] : z(X,X2) != eY, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_025)).
55.37/7.53	fof(f1_nnf, plain, ! [X,X2] : (z(X,X2) != eY), inference(nnf_transformation, [status(thm)], [f1])).
55.37/7.53	fof(f1_sk, plain, ! [X,X2] : (z(X,X2) != eY), inference(skolemisation, [status(esa)], [f1_nnf])).
55.37/7.53	cnf(c1, plain, z(X0,X1) != eY, inference(cnf_transformation, [status(esa)], [f1_sk])).
55.37/7.53	cnf(t54, plain, eq(z(X1,X2),eY) = false, inference(equality_encoding, [status(esa)], [c1])).
55.37/7.53	cnf(t1611, plain, eq(z(X1,X2),eY) = false, inference(orient, [status(thm)], [t54])).
55.37/7.53	cnf(t1677, plain, true = or(false,or(eq(eY,x2(proj12(eY),proj22(eY))),eq(assoc(eY),eY))), inference(cp, [status(thm)], [t1676, t1611])).
55.37/7.53	cnf(t20, plain, or(false,X1) = X1, introduced(definition)).
55.37/7.53	cnf(t258, plain, or(false,X1) = X1, inference(orient, [status(thm)], [t20])).
55.37/7.53	cnf(t52701, plain, true = or(eq(eY,x2(proj12(eY),proj22(eY))),eq(assoc(eY),eY)), inference(step, [status(thm)], [t1677, t258])).
55.37/7.53	cnf(t51, plain, eq(eY,x2(X1,X2)) = false, inference(equality_encoding, [status(esa)], [c34])).
55.37/7.53	cnf(t1647, plain, eq(eY,x2(X1,X2)) = false, inference(orient, [status(thm)], [t51])).
55.37/7.53	cnf(t52702, plain, true = or(false,eq(assoc(eY),eY)), inference(step, [status(thm)], [t52701, t1647])).
55.37/7.53	cnf(t52703, plain, true = eq(assoc(eY),eY), inference(step, [status(thm)], [t52702, t258])).
55.37/7.53	cnf(t1749, plain, eq(assoc(eY),eY) = true, inference(orient, [status(thm)], [t52703])).
55.37/7.53	cnf(t1750, plain, eY = ifeq(true,true,assoc(eY),eY), inference(cp, [status(thm)], [t260, t1749])).
55.37/7.53	cnf(t55, plain, ifeq(X1,X1,X2,X3) = X2, introduced(definition)).
55.37/7.53	cnf(t259, plain, ifeq(X1,X1,X2,X3) = X2, inference(orient, [status(thm)], [t55])).
55.37/7.53	cnf(t52704, plain, eY = assoc(eY), inference(step, [status(thm)], [t1750, t259])).
55.37/7.53	cnf(t1751, plain, assoc(eY) = eY, inference(orient, [status(thm)], [t52704])).
55.37/7.53	cnf(t1752, plain, assoc(x2(eY,X1)) = x2(eY,assoc(X1)), inference(cp, [status(thm)], [t1542, t1751])).
55.37/7.53	cnf(t1808, plain, assoc(x2(eY,X1)) = x2(eY,assoc(X1)), inference(orient, [status(thm)], [t1752])).
55.37/7.53	cnf(t1809, plain, assoc(x2(x2(eY,X1),X2)) = x2(x2(eY,assoc(X1)),assoc(X2)), inference(cp, [status(thm)], [t1542, t1808])).
55.37/7.53	cnf(t2030, plain, x2(x2(eY,assoc(X1)),assoc(X2)) = assoc(x2(x2(eY,X1),X2)), inference(orient, [status(thm)], [t1809])).
55.37/7.53	cnf(t2035, plain, assoc(x2(x2(eY,eY),X1)) = x2(x2(eY,eY),assoc(X1)), inference(cp, [status(thm)], [t2030, t1751])).
55.37/7.53	cnf(t2053, plain, assoc(x2(x2(eY,eY),X1)) = x2(x2(eY,eY),assoc(X1)), inference(orient, [status(thm)], [t2035])).
55.37/7.53	cnf(t2058, plain, assoc(X1) = ifeq(lin(X1),lin(x2(x2(eY,eY),X2)),x2(x2(eY,eY),assoc(X2)),assoc(X1)), inference(cp, [status(thm)], [t267, t2053])).
55.37/7.53	fof(f35, axiom, ! [Y,Z,Xs] : append(cons(Z,Xs),Y) = cons(Z,append(Xs,Y)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_034)).
55.37/7.53	fof(f35_nnf, plain, ! [Y,Z,Xs] : (append(cons(Z,Xs),Y) = cons(Z,append(Xs,Y))), inference(nnf_transformation, [status(thm)], [f35])).
55.37/7.53	fof(f35_sk, plain, ! [Z,Xs,Y] : (append(cons(Z,Xs),Y) = cons(Z,append(Xs,Y))), inference(skolemisation, [status(esa)], [f35_nnf])).
55.37/7.53	cnf(c35, plain, append(cons(X1,X2),X0) = cons(X1,append(X2,X0)), inference(cnf_transformation, [status(esa)], [f35_sk])).
55.37/7.53	cnf(t124, plain, cons(X1,append(X2,X3)) = append(cons(X1,X2),X3), inference(equality_encoding, [status(esa)], [c35])).
55.37/7.53	cnf(t1722, plain, append(cons(X1,X2),X3) = cons(X1,append(X2,X3)), inference(orient, [status(thm)], [t124])).
55.37/7.53	fof(f3, axiom, lin(eY) = cons(y,nil), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_040)).
55.37/7.53	fof(f3_nnf, plain, lin(eY) = cons(y,nil), inference(nnf_transformation, [status(thm)], [f3])).
55.37/7.53	cnf(c3, plain, lin(eY) = cons(y,nil), inference(cnf_transformation, [status(esa)], [f3_nnf])).
55.37/7.53	cnf(t23, plain, cons(y,nil) = lin(eY), inference(equality_encoding, [status(esa)], [c3])).
55.37/7.53	cnf(t1725, plain, cons(y,nil) = lin(eY), inference(orient, [status(thm)], [t23])).
55.37/7.53	cnf(t1726, plain, cons(y,append(nil,X1)) = append(lin(eY),X1), inference(cp, [status(thm)], [t1722, t1725])).
55.37/7.53	fof(f33, axiom, ! [Y] : Y = append(nil,Y), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_033)).
55.37/7.53	fof(f33_nnf, plain, ! [Y] : (Y = append(nil,Y)), inference(nnf_transformation, [status(thm)], [f33])).
55.37/7.53	fof(f33_sk, plain, ! [Y] : (Y = append(nil,Y)), inference(skolemisation, [status(esa)], [f33_nnf])).
55.37/7.53	cnf(c33, plain, X0 = append(nil,X0), inference(cnf_transformation, [status(esa)], [f33_sk])).
55.37/7.53	cnf(t0, plain, append(nil,X1) = X1, inference(equality_encoding, [status(esa)], [c33])).
55.37/7.53	cnf(t256, plain, append(nil,X1) = X1, inference(orient, [status(thm)], [t0])).
55.37/7.53	cnf(t52705, plain, cons(y,X1) = append(lin(eY),X1), inference(step, [status(thm)], [t1726, t256])).
55.37/7.53	cnf(t1762, plain, append(lin(eY),X1) = cons(y,X1), inference(orient, [status(thm)], [t52705])).
55.37/7.53	fof(f22, axiom, ! [A3,B2] : lin(x2(A3,B2)) = append(lin(A3),append(cons(mul,nil),lin(B2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_038)).
55.37/7.53	fof(f22_nnf, plain, ! [A3,B2] : (lin(x2(A3,B2)) = append(lin(A3),append(cons(mul,nil),lin(B2)))), inference(nnf_transformation, [status(thm)], [f22])).
55.37/7.53	fof(f22_sk, plain, ! [A3,B2] : (lin(x2(A3,B2)) = append(lin(A3),append(cons(mul,nil),lin(B2)))), inference(skolemisation, [status(esa)], [f22_nnf])).
55.37/7.53	cnf(c22, plain, lin(x2(X0,X1)) = append(lin(X0),append(cons(mul,nil),lin(X1))), inference(cnf_transformation, [status(esa)], [f22_sk])).
55.37/7.53	cnf(t152, plain, append(lin(X1),append(cons(mul,nil),lin(X2))) = lin(x2(X1,X2)), inference(equality_encoding, [status(esa)], [c22])).
55.37/7.53	cnf(t52697, plain, append(lin(X1),cons(mul,append(nil,lin(X2)))) = lin(x2(X1,X2)), inference(step, [status(thm)], [t152, t1722])).
55.37/7.53	cnf(t52698, plain, append(lin(X1),cons(mul,lin(X2))) = lin(x2(X1,X2)), inference(step, [status(thm)], [t52697, t256])).
55.37/7.53	cnf(t1743, plain, append(lin(X1),cons(mul,lin(X2))) = lin(x2(X1,X2)), inference(orient, [status(thm)], [t52698])).
55.37/7.53	cnf(t1763, plain, cons(y,cons(mul,lin(X1))) = lin(x2(eY,X1)), inference(cp, [status(thm)], [t1762, t1743])).
55.37/7.53	cnf(t1866, plain, cons(y,cons(mul,lin(X1))) = lin(x2(eY,X1)), inference(orient, [status(thm)], [t1763])).
55.37/7.53	cnf(t1868, plain, cons(y,append(cons(mul,lin(X1)),X2)) = append(lin(x2(eY,X1)),X2), inference(cp, [status(thm)], [t1722, t1866])).
55.37/7.53	cnf(t52749, plain, cons(y,cons(mul,append(lin(X1),X2))) = append(lin(x2(eY,X1)),X2), inference(step, [status(thm)], [t1868, t1722])).
55.37/7.53	cnf(t2501, plain, cons(y,cons(mul,append(lin(X1),X2))) = append(lin(x2(eY,X1)),X2), inference(orient, [status(thm)], [t52749])).
55.37/7.53	cnf(t2502, plain, append(lin(x2(eY,X1)),cons(mul,lin(X2))) = cons(y,cons(mul,lin(x2(X1,X2)))), inference(cp, [status(thm)], [t2501, t1743])).
55.37/7.53	cnf(t52750, plain, lin(x2(x2(eY,X1),X2)) = cons(y,cons(mul,lin(x2(X1,X2)))), inference(step, [status(thm)], [t2502, t1743])).
55.37/7.53	cnf(t52751, plain, lin(x2(x2(eY,X1),X2)) = lin(x2(eY,x2(X1,X2))), inference(step, [status(thm)], [t52750, t1866])).
55.37/7.53	cnf(t2530, plain, lin(x2(x2(eY,X1),X2)) = lin(x2(eY,x2(X1,X2))), inference(orient, [status(thm)], [t52751])).
55.37/7.53	cnf(t53182, plain, assoc(X1) = ifeq(lin(X1),lin(x2(eY,x2(eY,X2))),x2(x2(eY,eY),assoc(X2)),assoc(X1)), inference(step, [status(thm)], [t2058, t2530])).
55.37/7.53	cnf(t51590, plain, ifeq(lin(X1),lin(x2(eY,x2(eY,X2))),x2(x2(eY,eY),assoc(X2)),assoc(X1)) = assoc(X1), inference(orient, [status(thm)], [t53182])).
55.37/7.53	cnf(t51591, plain, assoc(x2(eY,x2(eY,X1))) = x2(x2(eY,eY),assoc(X1)), inference(cp, [status(thm)], [t51590, t259])).
55.37/7.53	cnf(t53183, plain, x2(eY,assoc(x2(eY,X1))) = x2(x2(eY,eY),assoc(X1)), inference(step, [status(thm)], [t51591, t1808])).
55.37/7.53	cnf(t53184, plain, x2(eY,x2(eY,assoc(X1))) = x2(x2(eY,eY),assoc(X1)), inference(step, [status(thm)], [t53183, t1808])).
55.37/7.53	cnf(t51752, plain, x2(x2(eY,eY),assoc(X1)) = x2(eY,x2(eY,assoc(X1))), inference(orient, [status(thm)], [t53184])).
55.37/7.53	cnf(t51806, plain, x2(eY,eY) = proj12(x2(eY,x2(eY,assoc(X1)))), inference(cp, [status(thm)], [t261, t51752])).
55.37/7.53	cnf(t53215, plain, x2(eY,eY) = eY, inference(step, [status(thm)], [t51806, t261])).
55.37/7.53	cnf(t51865, plain, x2(eY,eY) = eY, inference(orient, [status(thm)], [t53215])).
55.37/7.53	cnf(t51873, plain, true = ifeq(eY,eY,false,true), inference(cp, [status(thm)], [t1720, t51865])).
55.37/7.53	cnf(t53231, plain, true = false, inference(step, [status(thm)], [t51873, t259])).
55.37/7.53	cnf(t52208, plain, false = true, inference(orient, [status(thm)], [t53231])).
55.37/7.53	fof(f2, axiom, c != d, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_004)).
55.37/7.53	fof(f2_nnf, plain, c != d, inference(nnf_transformation, [status(thm)], [f2])).
55.37/7.53	fof(f2_sk, plain, c != d, inference(skolemisation, [status(esa)], [f2_nnf])).
55.37/7.53	cnf(c2, plain, c != d, inference(cnf_transformation, [status(esa)], [f2_sk])).
55.37/7.53	fof(f4, axiom, c != mul, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_008)).
55.37/7.53	fof(f4_nnf, plain, c != mul, inference(nnf_transformation, [status(thm)], [f4])).
55.37/7.53	fof(f4_sk, plain, c != mul, inference(skolemisation, [status(esa)], [f4_nnf])).
55.37/7.53	cnf(c4, plain, c != mul, inference(cnf_transformation, [status(esa)], [f4_sk])).
55.37/7.53	fof(f5, axiom, x != plus, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_014)).
55.37/7.53	fof(f5_nnf, plain, x != plus, inference(nnf_transformation, [status(thm)], [f5])).
55.37/7.53	fof(f5_sk, plain, x != plus, inference(skolemisation, [status(esa)], [f5_nnf])).
55.37/7.53	cnf(c5, plain, x != plus, inference(cnf_transformation, [status(esa)], [f5_sk])).
55.37/7.53	fof(f6, axiom, ! [X,X2] : eX != z(X,X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_024)).
55.37/7.53	fof(f6_nnf, plain, ! [X,X2] : (eX != z(X,X2)), inference(nnf_transformation, [status(thm)], [f6])).
55.37/7.53	fof(f6_sk, plain, ! [X,X2] : (eX != z(X,X2)), inference(skolemisation, [status(esa)], [f6_nnf])).
55.37/7.53	cnf(c6, plain, eX != z(X0,X1), inference(cnf_transformation, [status(esa)], [f6_sk])).
55.37/7.53	fof(f7, axiom, ! [X,X2,X3,X4] : x2(X3,X4) != z(X,X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_023)).
55.37/7.53	fof(f7_nnf, plain, ! [X,X2,X3,X4] : (x2(X3,X4) != z(X,X2)), inference(nnf_transformation, [status(thm)], [f7])).
55.37/7.53	fof(f7_sk, plain, ! [X3,X4,X,X2] : (x2(X3,X4) != z(X,X2)), inference(skolemisation, [status(esa)], [f7_nnf])).
55.37/7.53	cnf(c7, plain, x2(X2,X3) != z(X0,X1), inference(cnf_transformation, [status(esa)], [f7_sk])).
55.37/7.53	fof(f8, axiom, plus != c, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_007)).
55.37/7.53	fof(f8_nnf, plain, plus != c, inference(nnf_transformation, [status(thm)], [f8])).
55.37/7.53	fof(f8_sk, plain, plus != c, inference(skolemisation, [status(esa)], [f8_nnf])).
55.37/7.53	cnf(c8, plain, plus != c, inference(cnf_transformation, [status(esa)], [f8_sk])).
55.37/7.53	fof(f9, axiom, y != x, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_013)).
55.37/7.53	fof(f9_nnf, plain, y != x, inference(nnf_transformation, [status(thm)], [f9])).
55.37/7.53	fof(f9_sk, plain, y != x, inference(skolemisation, [status(esa)], [f9_nnf])).
55.37/7.53	cnf(c9, plain, y != x, inference(cnf_transformation, [status(esa)], [f9_sk])).
55.37/7.53	fof(f11, axiom, mul != d, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_012)).
55.37/7.53	fof(f11_nnf, plain, mul != d, inference(nnf_transformation, [status(thm)], [f11])).
55.37/7.53	fof(f11_sk, plain, mul != d, inference(skolemisation, [status(esa)], [f11_nnf])).
55.37/7.53	cnf(c11, plain, mul != d, inference(cnf_transformation, [status(esa)], [f11_sk])).
55.37/7.53	fof(f12, axiom, y != plus, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_016)).
55.37/7.53	fof(f12_nnf, plain, y != plus, inference(nnf_transformation, [status(thm)], [f12])).
55.37/7.53	fof(f12_sk, plain, y != plus, inference(skolemisation, [status(esa)], [f12_nnf])).
55.37/7.53	cnf(c12, plain, y != plus, inference(cnf_transformation, [status(esa)], [f12_sk])).
55.37/7.53	fof(f13, axiom, mul != x, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_015)).
55.37/7.53	fof(f13_nnf, plain, mul != x, inference(nnf_transformation, [status(thm)], [f13])).
55.37/7.53	fof(f13_sk, plain, mul != x, inference(skolemisation, [status(esa)], [f13_nnf])).
55.37/7.53	cnf(c13, plain, mul != x, inference(cnf_transformation, [status(esa)], [f13_sk])).
55.37/7.53	fof(f14, axiom, ! [X,X2] : x2(X,X2) != eX, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_026)).
55.37/7.53	fof(f14_nnf, plain, ! [X,X2] : (x2(X,X2) != eX), inference(nnf_transformation, [status(thm)], [f14])).
55.37/7.53	fof(f14_sk, plain, ! [X,X2] : (x2(X,X2) != eX), inference(skolemisation, [status(esa)], [f14_nnf])).
55.37/7.53	cnf(c14, plain, x2(X0,X1) != eX, inference(cnf_transformation, [status(esa)], [f14_sk])).
55.37/7.53	fof(f15, axiom, ! [X,X2] : nil != cons(X,X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_003)).
55.37/7.53	fof(f15_nnf, plain, ! [X,X2] : (nil != cons(X,X2)), inference(nnf_transformation, [status(thm)], [f15])).
55.37/7.53	fof(f15_sk, plain, ! [X,X2] : (nil != cons(X,X2)), inference(skolemisation, [status(esa)], [f15_nnf])).
55.37/7.53	cnf(c15, plain, nil != cons(X0,X1), inference(cnf_transformation, [status(esa)], [f15_sk])).
55.37/7.53	fof(f18, axiom, eX != eY, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_028)).
55.37/7.53	fof(f18_nnf, plain, eX != eY, inference(nnf_transformation, [status(thm)], [f18])).
55.37/7.53	fof(f18_sk, plain, eX != eY, inference(skolemisation, [status(esa)], [f18_nnf])).
55.37/7.53	cnf(c18, plain, eX != eY, inference(cnf_transformation, [status(esa)], [f18_sk])).
55.37/7.53	fof(f20, axiom, plus != d, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_011)).
55.37/7.53	fof(f20_nnf, plain, plus != d, inference(nnf_transformation, [status(thm)], [f20])).
55.37/7.53	fof(f20_sk, plain, plus != d, inference(skolemisation, [status(esa)], [f20_nnf])).
55.37/7.53	cnf(c20, plain, plus != d, inference(cnf_transformation, [status(esa)], [f20_sk])).
55.37/7.53	fof(f21, axiom, y != mul, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_017)).
55.37/7.53	fof(f21_nnf, plain, y != mul, inference(nnf_transformation, [status(thm)], [f21])).
55.37/7.53	fof(f21_sk, plain, y != mul, inference(skolemisation, [status(esa)], [f21_nnf])).
55.37/7.53	cnf(c21, plain, y != mul, inference(cnf_transformation, [status(esa)], [f21_sk])).
55.37/7.53	fof(f28, axiom, d != x, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_009)).
55.37/7.53	fof(f28_nnf, plain, d != x, inference(nnf_transformation, [status(thm)], [f28])).
55.37/7.53	fof(f28_sk, plain, d != x, inference(skolemisation, [status(esa)], [f28_nnf])).
55.37/7.53	cnf(c28, plain, d != x, inference(cnf_transformation, [status(esa)], [f28_sk])).
55.37/7.53	fof(f30, axiom, mul != plus, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_018)).
55.37/7.53	fof(f30_nnf, plain, mul != plus, inference(nnf_transformation, [status(thm)], [f30])).
55.37/7.53	fof(f30_sk, plain, mul != plus, inference(skolemisation, [status(esa)], [f30_nnf])).
55.37/7.53	cnf(c30, plain, mul != plus, inference(cnf_transformation, [status(esa)], [f30_sk])).
55.37/7.53	fof(f31, axiom, c != x, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_005)).
55.37/7.53	fof(f31_nnf, plain, c != x, inference(nnf_transformation, [status(thm)], [f31])).
55.37/7.53	fof(f31_sk, plain, c != x, inference(skolemisation, [status(esa)], [f31_nnf])).
55.37/7.53	cnf(c31, plain, c != x, inference(cnf_transformation, [status(esa)], [f31_sk])).
55.37/7.53	fof(f38, axiom, y != c, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_006)).
55.37/7.53	fof(f38_nnf, plain, y != c, inference(nnf_transformation, [status(thm)], [f38])).
55.37/7.53	fof(f38_sk, plain, y != c, inference(skolemisation, [status(esa)], [f38_nnf])).
55.37/7.53	cnf(c38, plain, y != c, inference(cnf_transformation, [status(esa)], [f38_sk])).
55.37/7.53	fof(f40, axiom, y != d, file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_010)).
55.37/7.53	fof(f40_nnf, plain, y != d, inference(nnf_transformation, [status(thm)], [f40])).
55.37/7.53	fof(f40_sk, plain, y != d, inference(skolemisation, [status(esa)], [f40_nnf])).
55.37/7.53	cnf(c40, plain, y != d, inference(cnf_transformation, [status(esa)], [f40_sk])).
55.37/7.53	cnf(goal_0, negated_conjecture, true != false, inference(equality_encoding, [status(esa)], [c1, c2, c4, c5, c6, c7, c8, c9, c11, c12, c13, c14, c15, c18, c20, c21, c28, c30, c31, c34, c38, c40])).
55.37/7.53	cnf(g0_0, plain, true != true, inference(rw, [status(thm)], [goal_0, t52208])).
55.37/7.53	cnf(contradiction_0, plain, $false, inference(trivial_inequality_removal, [status(thm)], [g0_0])).
55.37/7.53	% SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
55.37/7.53	EOF