TSTP Solution File: KLE180+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE180+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:32:25 EDT 2023
% Result : Satisfiable 0.98s 1.19s
% Output : Saturation 0.98s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_right) ).
fof(f17,axiom,
! [X0] : omega(X0) = multiplication(X0,omega(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_unfold) ).
fof(f18,axiom,
! [X0,X1,X2] :
( leq(X0,addition(multiplication(X1,X0),X2))
=> leq(X0,addition(omega(X1),multiplication(star(X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_co_induction) ).
fof(f19,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f20,axiom,
! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f21,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f22,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f23,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).
fof(f24,axiom,
! [X3,X4] : coantidomain(multiplication(coantidomain(coantidomain(X3)),X4)) = addition(coantidomain(multiplication(X3,X4)),coantidomain(multiplication(coantidomain(coantidomain(X3)),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain2) ).
fof(f25,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
fof(f29,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f33,axiom,
! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence1) ).
fof(f34,axiom,
! [X3,X4,X5] :
( addition(forward_diamond(X4,domain(X3)),domain(X5)) = addition(domain(X3),addition(forward_diamond(X4,domain(X3)),domain(X5)))
=> addition(divergence(X4),forward_diamond(star(X4),domain(X5))) = addition(domain(X3),addition(divergence(X4),forward_diamond(star(X4),domain(X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence2) ).
fof(f35,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f36,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f19]) ).
fof(f37,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(rectify,[],[f20]) ).
fof(f38,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f21]) ).
fof(f39,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f22]) ).
fof(f40,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f23]) ).
fof(f41,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(rectify,[],[f24]) ).
fof(f42,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f25]) ).
fof(f46,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f29]) ).
fof(f50,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(rectify,[],[f33]) ).
fof(f51,plain,
! [X0,X1,X2] :
( addition(forward_diamond(X1,domain(X0)),domain(X2)) = addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
=> addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
inference(rectify,[],[f34]) ).
fof(f52,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f53,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f54,plain,
! [X0,X1,X2] :
( leq(X0,addition(omega(X1),multiplication(star(X1),X2)))
| ~ leq(X0,addition(multiplication(X1,X0),X2)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f55,plain,
! [X0,X1,X2] :
( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
| addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
inference(ennf_transformation,[],[f51]) ).
fof(f56,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f57,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f35]) ).
fof(f59,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f63,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f64,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f65,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f67,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f68,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f69,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f70,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f71,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f72,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f73,plain,
! [X2,X0,X1] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f74,plain,
! [X0] : omega(X0) = multiplication(X0,omega(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f75,plain,
! [X2,X0,X1] :
( leq(X0,addition(omega(X1),multiplication(star(X1),X2)))
| ~ leq(X0,addition(multiplication(X1,X0),X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f76,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f36]) ).
fof(f77,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f37]) ).
fof(f78,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f79,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f80,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f81,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f41]) ).
fof(f82,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f86,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f46]) ).
fof(f90,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f91,plain,
! [X2,X0,X1] :
( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
| addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f86,f79,f79]) ).
fof(f98,plain,
! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
inference(definition_unfolding,[],[f90,f94]) ).
fof(f99,plain,
! [X2,X0,X1] :
( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))))
| addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))) ),
inference(definition_unfolding,[],[f91,f94,f79,f79,f94,f79,f94,f79,f79,f79,f94,f79,f79]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f57]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f58]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f59]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f60]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f61]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f62]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f63]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f64]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f65]) ).
cnf(c_58,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f66]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f67]) ).
cnf(c_60,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_61,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_62,plain,
leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f70]) ).
cnf(c_63,plain,
leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f71]) ).
cnf(c_64,plain,
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_65,plain,
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_66,plain,
multiplication(X0,omega(X0)) = omega(X0),
inference(cnf_transformation,[],[f74]) ).
cnf(c_67,plain,
( ~ leq(X0,addition(multiplication(X1,X0),X2))
| leq(X0,addition(omega(X1),multiplication(star(X1),X2))) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_68,plain,
multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[],[f76]) ).
cnf(c_69,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(cnf_transformation,[],[f77]) ).
cnf(c_70,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[],[f78]) ).
cnf(c_71,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(cnf_transformation,[],[f80]) ).
cnf(c_72,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(cnf_transformation,[],[f81]) ).
cnf(c_73,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(cnf_transformation,[],[f82]) ).
cnf(c_74,plain,
antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))) = divergence(X0),
inference(cnf_transformation,[],[f98]) ).
cnf(c_75,plain,
( addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))) != addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))
| addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) = addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_100,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_70,c_50,c_49]) ).
cnf(c_101,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_73,c_50,c_49]) ).
cnf(c_102,plain,
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
cnf(c_103,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(renaming,[status(thm)],[c_102]) ).
cnf(c_104,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_106,plain,
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
cnf(c_108,plain,
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_110,plain,
( ~ leq(X0,addition(multiplication(X1,X0),X2))
| leq(X0,addition(omega(X1),multiplication(star(X1),X2))) ),
inference(prop_impl_just,[status(thm)],[c_67]) ).
cnf(c_112,plain,
( addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))) != addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))
| addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) = addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
cnf(c_247,plain,
X0 = X0,
theory(equality) ).
cnf(c_248,plain,
X0_1 = X0_1,
theory(equality) ).
cnf(c_249,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_250,plain,
( X0 != X1
| X2 != X3
| addition(X0,X2) = addition(X1,X3) ),
theory(equality) ).
cnf(c_251,plain,
( X0 != X1
| X2 != X3
| multiplication(X0,X2) = multiplication(X1,X3) ),
theory(equality) ).
cnf(c_252,plain,
( X0 != X1
| X2 != X3
| ~ leq(X1,X3)
| leq(X0,X2) ),
theory(equality) ).
cnf(c_253,plain,
( X0 != X1
| antidomain(X0) = antidomain(X1) ),
theory(equality) ).
cnf(c_254,plain,
( X0 != X1
| coantidomain(X0) = coantidomain(X1) ),
theory(equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE180+1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 11:51:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.23/0.64 WARNING - Could not infer the problem pformat. Setting FOF as default
% 0.98/1.19 % SZS status Started for theBenchmark.p
% 0.98/1.19 % SZS status Satisfiable for theBenchmark.p
% 0.98/1.19
% 0.98/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.98/1.19
% 0.98/1.19 ------ iProver source info
% 0.98/1.19
% 0.98/1.19 git: date: 2023-05-31 18:12:56 +0000
% 0.98/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.98/1.19 git: non_committed_changes: false
% 0.98/1.19 git: last_make_outside_of_git: false
% 0.98/1.19
% 0.98/1.19 ------ Parsing...
% 0.98/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.98/1.19
% 0.98/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 35 0s sf_e pe_s pe_e sf_s rm: 8 0s sf_e pe_s pe_e
% 0.98/1.19
% 0.98/1.19 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 0.98/1.19 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.98/1.19 ------ Proving...
% 0.98/1.19 ------ Problem Properties
% 0.98/1.19
% 0.98/1.19
% 0.98/1.19 clauses 0
% 0.98/1.19 conjectures 0
% 0.98/1.19 EPR 0
% 0.98/1.19 Horn 0
% 0.98/1.19 unary 0
% 0.98/1.19 binary 0
% 0.98/1.19 lits 0
% 0.98/1.19 lits eq 0
% 0.98/1.19 fd_pure 0
% 0.98/1.19 fd_pseudo 0
% 0.98/1.19 fd_cond 0
% 0.98/1.19 fd_pseudo_cond 0
% 0.98/1.19 AC symbols 0
% 0.98/1.19
% 0.98/1.19 ------ Schedule EPR Horn non eq is on
% 0.98/1.19
% 0.98/1.19 ------ no conjectures: strip conj schedule
% 0.98/1.19
% 0.98/1.19 ------ no equalities: superposition off
% 0.98/1.19
% 0.98/1.19 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 0.98/1.19
% 0.98/1.19
% 0.98/1.19
% 0.98/1.19
% 0.98/1.19 % SZS status Satisfiable for theBenchmark.p
% 0.98/1.19
% 0.98/1.19 % SZS output start Saturation for theBenchmark.p
% See solution above
% 0.98/1.19
% 0.98/1.19
%------------------------------------------------------------------------------