%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE135+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Thu Sep 24 12:58:22 PM UTC 2026
% Result : Theorem 145.93s 18.98s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE135+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n008.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 22:46:23 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 145.93/18.98 % Refutation found
% 145.93/18.98 % SZS status Theorem for theBenchmark: Theorem is valid
% 145.93/18.98 % SZS output start CNFRefutation for theBenchmark
% 145.93/18.98 fof(f1,axiom,(
% 145.93/18.98 (! [A,B] : addition(A,B) = addition(B,A) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f2,axiom,(
% 145.93/18.98 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f3,axiom,(
% 145.93/18.98 (! [A] : addition(A,zero) = A )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f4,axiom,(
% 145.93/18.98 (! [A] : addition(A,A) = A )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f6,axiom,(
% 145.93/18.98 (! [A] : multiplication(A,one) = A )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f7,axiom,(
% 145.93/18.98 (! [A] : multiplication(one,A) = A )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f8,axiom,(
% 145.93/18.98 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f9,axiom,(
% 145.93/18.98 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f13,axiom,(
% 145.93/18.98 (! [X0] : multiplication(antidomain(X0),X0) = zero )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f15,axiom,(
% 145.93/18.98 (! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f16,axiom,(
% 145.93/18.98 (! [X0] : domain(X0) = antidomain(antidomain(X0)) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f21,axiom,(
% 145.93/18.98 (! [X0] : c(X0) = antidomain(domain(X0)) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f22,axiom,(
% 145.93/18.98 (! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f23,axiom,(
% 145.93/18.98 (! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f28,axiom,(
% 145.93/18.98 (! [X0,X1,X2] :( addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) = addition(forward_diamond(X1,domain(X0)),domain(X2))=> addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2))) ) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f29,conjecture,(
% 145.93/18.98 (! [X0] :( divergence(X0) = zero=> forward_diamond(star(X0),antidomain(X0)) = one ) )),
% 145.93/18.98 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 145.93/18.98 fof(f30,negated_conjecture,(
% 145.93/18.98 ~((! [X0] :( divergence(X0) = zero=> forward_diamond(star(X0),antidomain(X0)) = one ) ))),
% 145.93/18.98 inference(negated_conjecture,[status(cth)],[f29])).
% 145.93/18.98 fof(f31,plain,(
% 145.93/18.98 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f1])).
% 145.93/18.98 fof(f32,plain,(
% 145.93/18.98 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f2])).
% 145.93/18.98 fof(f33,plain,(
% 145.93/18.98 ![X0]: (addition(X0,zero)=X0)),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f3])).
% 145.93/18.98 fof(f34,plain,(
% 145.93/18.98 ![X0]: (addition(X0,X0)=X0)),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f4])).
% 145.93/18.98 fof(f36,plain,(
% 145.93/18.98 ![X0]: (multiplication(X0,one)=X0)),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f6])).
% 145.93/18.98 fof(f37,plain,(
% 145.93/18.98 ![X0]: (multiplication(one,X0)=X0)),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f7])).
% 145.93/18.98 fof(f38,plain,(
% 145.93/18.98 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f8])).
% 145.93/18.98 fof(f39,plain,(
% 145.93/18.98 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f9])).
% 145.93/18.98 fof(f46,plain,(
% 145.93/18.98 ![X0]: (multiplication(antidomain(X0),X0)=zero)),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f13])).
% 145.93/18.98 fof(f48,plain,(
% 145.93/18.98 ![X0]: (addition(antidomain(antidomain(X0)),antidomain(X0))=one)),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f15])).
% 145.93/18.98 fof(f49,plain,(
% 145.93/18.98 ![X0]: (domain(X0)=antidomain(antidomain(X0)))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f16])).
% 145.93/18.98 fof(f54,plain,(
% 145.93/18.98 ![X0]: (c(X0)=antidomain(domain(X0)))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f21])).
% 145.93/18.98 fof(f55,plain,(
% 145.93/18.98 ![X0,X1]: (domain_difference(X0,X1)=multiplication(domain(X0),antidomain(X1)))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f22])).
% 145.93/18.98 fof(f56,plain,(
% 145.93/18.98 ![X0,X1]: (forward_diamond(X0,X1)=domain(multiplication(X0,domain(X1))))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f23])).
% 145.93/18.98 fof(f61,plain,(
% 145.93/18.98 ![X0,X1,X2]: (~addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))=addition(forward_diamond(X1,domain(X0)),domain(X2))|addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))=addition(divergence(X1),forward_diamond(star(X1),domain(X2))))),
% 145.93/18.98 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 145.93/18.98 fof(f62,plain,(
% 145.93/18.98 ![X0,X1,X2]: (~addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))=addition(forward_diamond(X1,domain(X0)),domain(X2))|addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))=addition(divergence(X1),forward_diamond(star(X1),domain(X2))))),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f61])).
% 145.93/18.98 fof(f63,plain,(
% 145.93/18.98 (?[X0]: (divergence(X0)=zero&~forward_diamond(star(X0),antidomain(X0))=one))),
% 145.93/18.98 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 145.93/18.98 fof(f64,plain,(
% 145.93/18.98 (divergence(sK0_skl)=zero&~forward_diamond(star(sK0_skl),antidomain(sK0_skl))=one)),
% 145.93/18.98 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f63])).
% 145.93/18.98 fof(f65,plain,(
% 145.93/18.98 divergence(sK0_skl)=zero),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f64])).
% 145.93/18.98 fof(f66,plain,(
% 145.93/18.98 ~forward_diamond(star(sK0_skl),antidomain(sK0_skl))=one),
% 145.93/18.98 inference(cnf_transformation,[status(thm)],[f64])).
% 145.93/18.98 fof(f67,plain,(
% 145.93/18.98 ![X0]: (addition(antidomain(X0),antidomain(antidomain(X0)))=one)),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f31,f48])).
% 145.93/18.98 fof(f68,plain,(
% 145.93/18.98 ![X0]: (addition(antidomain(X0),domain(X0))=one)),
% 145.93/18.98 inference(backward_demodulation,[status(thm)],[f49,f67])).
% 145.93/18.98 fof(f84,plain,(
% 145.93/18.98 antidomain(one)=zero),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f36,f46])).
% 145.93/18.98 fof(f94,plain,(
% 145.93/18.98 ![X0]: (X0=addition(zero,X0))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f33,f31])).
% 145.93/18.98 fof(f103,plain,(
% 145.93/18.98 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f31,f32])).
% 145.93/18.98 fof(f150,plain,(
% 145.93/18.98 ![X0,X1]: (multiplication(antidomain(X0),addition(X1,X0))=addition(multiplication(antidomain(X0),X1),zero))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f46,f38])).
% 145.93/18.98 fof(f172,plain,(
% 145.93/18.98 ![X0,X1]: (multiplication(antidomain(X0),addition(X1,X0))=multiplication(antidomain(X0),X1))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f33,f150])).
% 145.93/18.98 fof(f184,plain,(
% 145.93/18.98 ![X0,X1]: (multiplication(addition(antidomain(X0),X1),X0)=addition(zero,multiplication(X1,X0)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f46,f39])).
% 145.93/18.98 fof(f203,plain,(
% 145.93/18.98 ![X0,X1]: (multiplication(addition(antidomain(X0),X1),X0)=multiplication(X1,X0))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f94,f184])).
% 145.93/18.98 fof(f230,plain,(
% 145.93/18.98 ![X0]: (forward_diamond(one,X0)=domain(domain(X0)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f37,f56])).
% 145.93/18.98 fof(f235,plain,(
% 145.93/18.98 addition(zero,domain(one))=one),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f84,f68])).
% 145.93/18.98 fof(f237,plain,(
% 145.93/18.98 ![X0,X1]: (addition(antidomain(X0),addition(domain(X0),X1))=addition(one,X1))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f68,f32])).
% 145.93/18.98 fof(f238,plain,(
% 145.93/18.98 domain(one)=one),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f94,f235])).
% 145.93/18.98 fof(f241,plain,(
% 145.93/18.98 ![X0,X1,X2]: (~addition(domain(X0),addition(domain(X1),forward_diamond(X2,domain(X0))))=addition(forward_diamond(X2,domain(X0)),domain(X1))|addition(domain(X0),addition(divergence(X2),forward_diamond(star(X2),domain(X1))))=addition(divergence(X2),forward_diamond(star(X2),domain(X1))))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f31,f62])).
% 145.93/18.98 fof(f302,plain,(
% 145.93/18.98 ![X0]: (domain(antidomain(X0))=antidomain(domain(X0)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f49,f49])).
% 145.93/18.98 fof(f303,plain,(
% 145.93/18.98 domain(one)=antidomain(zero)),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f84,f49])).
% 145.93/18.98 fof(f306,plain,(
% 145.93/18.98 ![X0]: (domain(antidomain(X0))=c(X0))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f54,f302])).
% 145.93/18.98 fof(f311,plain,(
% 145.93/18.98 one=antidomain(zero)),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f238,f303])).
% 145.93/18.98 fof(f688,plain,(
% 145.93/18.98 ![X0]: (domain(domain(X0))=c(antidomain(X0)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f49,f306])).
% 145.93/18.98 fof(f690,plain,(
% 145.93/18.98 ![X0,X1]: (domain_difference(antidomain(X0),X1)=multiplication(c(X0),antidomain(X1)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f306,f55])).
% 145.93/18.98 fof(f700,plain,(
% 145.93/18.98 ![X0]: (forward_diamond(one,X0)=c(antidomain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f230,f688])).
% 145.93/18.98 fof(f1140,plain,(
% 145.93/18.98 ![X0]: (multiplication(antidomain(domain(X0)),one)=multiplication(antidomain(domain(X0)),antidomain(X0)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f68,f172])).
% 145.93/18.98 fof(f1183,plain,(
% 145.93/18.98 ![X0]: (antidomain(domain(X0))=multiplication(antidomain(domain(X0)),antidomain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f36,f1140])).
% 145.93/18.98 fof(f1184,plain,(
% 145.93/18.98 ![X0]: (c(X0)=multiplication(antidomain(domain(X0)),antidomain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f54,f1183])).
% 145.93/18.98 fof(f1185,plain,(
% 145.93/18.98 ![X0]: (c(X0)=multiplication(c(X0),antidomain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f54,f1184])).
% 145.93/18.98 fof(f1186,plain,(
% 145.93/18.98 ![X0]: (c(X0)=domain_difference(antidomain(X0),X0))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f690,f1185])).
% 145.93/18.98 fof(f1442,plain,(
% 145.93/18.98 ![X0]: (multiplication(one,X0)=multiplication(domain(X0),X0))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f68,f203])).
% 145.93/18.98 fof(f1475,plain,(
% 145.93/18.98 ![X0]: (X0=multiplication(domain(X0),X0))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f37,f1442])).
% 145.93/18.98 fof(f1782,plain,(
% 145.93/18.98 ![X0]: (antidomain(X0)=domain_difference(antidomain(X0),X0))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f55,f1475])).
% 145.93/18.98 fof(f1806,plain,(
% 145.93/18.98 ![X0]: (c(X0)=antidomain(X0))),
% 145.93/18.98 inference(backward_demodulation,[status(thm)],[f1782,f1186])).
% 145.93/18.98 fof(f1837,plain,(
% 145.93/18.98 ![X0]: (domain(antidomain(X0))=antidomain(X0))),
% 145.93/18.98 inference(backward_demodulation,[status(thm)],[f1806,f306])).
% 145.93/18.98 fof(f1841,plain,(
% 145.93/18.98 ![X0]: (forward_diamond(one,X0)=antidomain(antidomain(X0)))),
% 145.93/18.98 inference(backward_demodulation,[status(thm)],[f1806,f700])).
% 145.93/18.98 fof(f1885,plain,(
% 145.93/18.98 ![X0]: (domain(X0)=domain(domain(X0)))),
% 145.93/18.98 inference(backward_demodulation,[status(thm)],[f1886,f230])).
% 145.93/18.98 fof(f1886,plain,(
% 145.93/18.98 ![X0]: (forward_diamond(one,X0)=domain(X0))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f49,f1841])).
% 145.93/18.98 fof(f3108,plain,(
% 145.93/18.98 ![X0]: (addition(antidomain(X0),domain(X0))=addition(one,domain(X0)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f34,f237])).
% 145.93/18.98 fof(f3137,plain,(
% 145.93/18.98 ![X0]: (one=addition(one,domain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f68,f3108])).
% 145.93/18.98 fof(f3262,plain,(
% 145.93/18.98 ![X0,X1]: (one=addition(one,forward_diamond(X0,X1)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f56,f3137])).
% 145.93/18.98 fof(f3270,plain,(
% 145.93/18.98 ![X0,X1]: (addition(one,addition(domain(X0),X1))=addition(X1,one))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f3137,f103])).
% 145.93/18.98 fof(f3729,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(domain(X0),addition(domain(X1),forward_diamond(sK0_skl,domain(X0))))=addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))|addition(domain(X0),addition(zero,forward_diamond(star(sK0_skl),domain(X1))))=addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),domain(X1))))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f65,f241])).
% 145.93/18.98 fof(f3760,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(domain(X0),addition(domain(X1),forward_diamond(sK0_skl,domain(X0))))=addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))|addition(zero,addition(forward_diamond(star(sK0_skl),domain(X1)),domain(X0)))=addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),domain(X1))))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f103,f3729])).
% 145.93/18.98 fof(f3761,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(domain(X0),addition(domain(X1),forward_diamond(sK0_skl,domain(X0))))=addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))|addition(forward_diamond(star(sK0_skl),domain(X1)),domain(X0))=addition(divergence(sK0_skl),forward_diamond(star(sK0_skl),domain(X1))))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f94,f3760])).
% 145.93/18.98 fof(f3762,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(domain(X0),addition(domain(X1),forward_diamond(sK0_skl,domain(X0))))=addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))|addition(forward_diamond(star(sK0_skl),domain(X1)),domain(X0))=addition(zero,forward_diamond(star(sK0_skl),domain(X1))))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f65,f3761])).
% 145.93/18.98 fof(f3763,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(domain(X0),addition(domain(X1),forward_diamond(sK0_skl,domain(X0))))=addition(forward_diamond(sK0_skl,domain(X0)),domain(X1))|addition(forward_diamond(star(sK0_skl),domain(X1)),domain(X0))=forward_diamond(star(sK0_skl),domain(X1)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f94,f3762])).
% 145.93/18.98 fof(f3954,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(antidomain(X0),addition(domain(X1),forward_diamond(sK0_skl,domain(antidomain(X0)))))=addition(forward_diamond(sK0_skl,domain(antidomain(X0))),domain(X1))|addition(forward_diamond(star(sK0_skl),domain(X1)),domain(antidomain(X0)))=forward_diamond(star(sK0_skl),domain(X1)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f1837,f3763])).
% 145.93/18.98 fof(f3972,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(antidomain(X0),addition(domain(X1),forward_diamond(sK0_skl,antidomain(X0))))=addition(forward_diamond(sK0_skl,domain(antidomain(X0))),domain(X1))|addition(forward_diamond(star(sK0_skl),domain(X1)),domain(antidomain(X0)))=forward_diamond(star(sK0_skl),domain(X1)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f1837,f3954])).
% 145.93/18.98 fof(f3973,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(antidomain(X0),addition(domain(X1),forward_diamond(sK0_skl,antidomain(X0))))=addition(forward_diamond(sK0_skl,antidomain(X0)),domain(X1))|addition(forward_diamond(star(sK0_skl),domain(X1)),domain(antidomain(X0)))=forward_diamond(star(sK0_skl),domain(X1)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f1837,f3972])).
% 145.93/18.98 fof(f3974,plain,(
% 145.93/18.98 ![X0,X1]: (~addition(antidomain(X0),addition(domain(X1),forward_diamond(sK0_skl,antidomain(X0))))=addition(forward_diamond(sK0_skl,antidomain(X0)),domain(X1))|addition(forward_diamond(star(sK0_skl),domain(X1)),antidomain(X0))=forward_diamond(star(sK0_skl),domain(X1)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f1837,f3973])).
% 145.93/18.98 fof(f6667,plain,(
% 145.93/18.98 ![X0]: (~addition(one,addition(domain(X0),forward_diamond(sK0_skl,antidomain(zero))))=addition(forward_diamond(sK0_skl,antidomain(zero)),domain(X0))|addition(forward_diamond(star(sK0_skl),domain(X0)),antidomain(zero))=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/18.98 inference(paramodulation,[status(thm)],[f311,f3974])).
% 145.93/18.98 fof(f6712,plain,(
% 145.93/18.98 ![X0]: (~addition(forward_diamond(sK0_skl,antidomain(zero)),one)=addition(forward_diamond(sK0_skl,antidomain(zero)),domain(X0))|addition(forward_diamond(star(sK0_skl),domain(X0)),antidomain(zero))=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f3270,f6667])).
% 145.93/18.98 fof(f6713,plain,(
% 145.93/18.98 ![X0]: (~addition(one,forward_diamond(sK0_skl,antidomain(zero)))=addition(forward_diamond(sK0_skl,antidomain(zero)),domain(X0))|addition(forward_diamond(star(sK0_skl),domain(X0)),antidomain(zero))=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f31,f6712])).
% 145.93/18.98 fof(f6714,plain,(
% 145.93/18.98 ![X0]: (~one=addition(forward_diamond(sK0_skl,antidomain(zero)),domain(X0))|addition(forward_diamond(star(sK0_skl),domain(X0)),antidomain(zero))=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f3262,f6713])).
% 145.93/18.98 fof(f6715,plain,(
% 145.93/18.98 ![X0]: (~one=addition(forward_diamond(sK0_skl,one),domain(X0))|addition(forward_diamond(star(sK0_skl),domain(X0)),antidomain(zero))=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f311,f6714])).
% 145.93/18.98 fof(f6716,plain,(
% 145.93/18.98 ![X0]: (~one=addition(forward_diamond(sK0_skl,one),domain(X0))|addition(antidomain(zero),forward_diamond(star(sK0_skl),domain(X0)))=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/18.98 inference(forward_demodulation,[status(thm)],[f31,f6715])).
% 145.93/19.15 fof(f6717,plain,(
% 145.93/19.15 ![X0]: (~one=addition(forward_diamond(sK0_skl,one),domain(X0))|addition(one,forward_diamond(star(sK0_skl),domain(X0)))=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/19.15 inference(forward_demodulation,[status(thm)],[f311,f6716])).
% 145.93/19.15 fof(f6718,plain,(
% 145.93/19.15 ![X0]: (~one=addition(forward_diamond(sK0_skl,one),domain(X0))|one=forward_diamond(star(sK0_skl),domain(X0)))),
% 145.93/19.15 inference(forward_demodulation,[status(thm)],[f3262,f6717])).
% 145.93/19.15 fof(f7257,plain,(
% 145.93/19.15 ![X0,X1]: (forward_diamond(X0,domain(X1))=domain(multiplication(X0,domain(X1))))),
% 145.93/19.15 inference(paramodulation,[status(thm)],[f1885,f56])).
% 145.93/19.15 fof(f7420,plain,(
% 145.93/19.15 ![X0]: (~one=addition(forward_diamond(sK0_skl,one),domain(X0))|one=forward_diamond(star(sK0_skl),X0))),
% 145.93/19.15 inference(backward_demodulation,[status(thm)],[f7453,f6718])).
% 145.93/19.15 fof(f7453,plain,(
% 145.93/19.15 ![X0,X1]: (forward_diamond(X0,domain(X1))=forward_diamond(X0,X1))),
% 145.93/19.15 inference(forward_demodulation,[status(thm)],[f56,f7257])).
% 145.93/19.15 fof(f12102,plain,(
% 145.93/19.15 ![X0]: (forward_diamond(X0,one)=domain(multiplication(X0,one)))),
% 145.93/19.15 inference(paramodulation,[status(thm)],[f238,f56])).
% 145.93/19.15 fof(f12196,plain,(
% 145.93/19.15 ![X0]: (~one=addition(domain(sK0_skl),domain(X0))|one=forward_diamond(star(sK0_skl),X0))),
% 145.93/19.15 inference(backward_demodulation,[status(thm)],[f12203,f7420])).
% 145.93/19.15 fof(f12203,plain,(
% 145.93/19.15 ![X0]: (forward_diamond(X0,one)=domain(X0))),
% 145.93/19.15 inference(forward_demodulation,[status(thm)],[f36,f12102])).
% 145.93/19.15 fof(f15668,plain,(
% 145.93/19.15 ![X0]: (~one=addition(domain(X0),domain(sK0_skl))|one=forward_diamond(star(sK0_skl),X0))),
% 145.93/19.15 inference(paramodulation,[status(thm)],[f31,f12196])).
% 145.93/19.15 fof(f19247,plain,(
% 145.93/19.15 ![X0]: (~one=addition(antidomain(X0),domain(sK0_skl))|one=forward_diamond(star(sK0_skl),antidomain(X0)))),
% 145.93/19.15 inference(paramodulation,[status(thm)],[f1837,f15668])).
% 145.93/19.15 fof(f38497,plain,(
% 145.93/19.15 ~one=addition(antidomain(sK0_skl),domain(sK0_skl))),
% 145.93/19.15 inference(resolution,[status(thm)],[f19247,f66])).
% 145.93/19.15 fof(f38511,plain,(
% 145.93/19.15 ~one=one),
% 145.93/19.15 inference(forward_demodulation,[status(thm)],[f68,f38497])).
% 145.93/19.15 fof(f38512,plain,(
% 145.93/19.15 $false),
% 145.93/19.15 inference(trivial_equality_resolution,[status(thm)],[f38511])).
% 145.93/19.15 % SZS output end CNFRefutation for theBenchmark.p
% 13.78/19.20 % Elapsed time: 18.731589 seconds
% 13.78/19.20 % CPU time: 147.566370 seconds
% 13.78/19.20 % Total memory used: 745.961 MB
% 13.78/19.20 % Net memory used: 722.300 MB
%------------------------------------------------------------------------------