%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE128+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 0.10s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE128+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.51 % Computer : n008.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Sun Sep 20 22:46:11 UTC 2026
% 0.10/0.51 % CPUTime :
% 0.10/0.52 % Drodi V4.1.1
% 0.10/0.58 % Refutation found
% 0.10/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.58 fof(f1,axiom,(
% 0.10/0.58 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f2,axiom,(
% 0.10/0.58 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f3,axiom,(
% 0.10/0.58 (! [A] : addition(A,zero) = A )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f6,axiom,(
% 0.10/0.58 (! [A] : multiplication(A,one) = A )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f10,axiom,(
% 0.10/0.58 (! [A] : multiplication(A,zero) = zero )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f13,axiom,(
% 0.10/0.58 (! [X0] : multiplication(antidomain(X0),X0) = zero )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f15,axiom,(
% 0.10/0.58 (! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f16,axiom,(
% 0.10/0.58 (! [X0] : domain(X0) = antidomain(antidomain(X0)) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f23,axiom,(
% 0.10/0.58 (! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f28,axiom,(
% 0.10/0.58 (! [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))) ) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f29,conjecture,(
% 0.10/0.58 (! [X0] :( divergence(X0) = zero=> (! [X1] :( addition(domain(X1),forward_diamond(X0,domain(X1))) = forward_diamond(X0,domain(X1))=> domain(X1) = zero ) )) )),
% 0.10/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.58 fof(f30,negated_conjecture,(
% 0.10/0.58 ~((! [X0] :( divergence(X0) = zero=> (! [X1] :( addition(domain(X1),forward_diamond(X0,domain(X1))) = forward_diamond(X0,domain(X1))=> domain(X1) = zero ) )) ))),
% 0.10/0.58 inference(negated_conjecture,[status(cth)],[f29])).
% 0.10/0.58 fof(f31,plain,(
% 0.10/0.58 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.58 fof(f32,plain,(
% 0.10/0.58 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.58 fof(f33,plain,(
% 0.10/0.58 ![X0]: (addition(X0,zero)=X0)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.58 fof(f36,plain,(
% 0.10/0.58 ![X0]: (multiplication(X0,one)=X0)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.58 fof(f40,plain,(
% 0.10/0.58 ![X0]: (multiplication(X0,zero)=zero)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.58 fof(f46,plain,(
% 0.10/0.58 ![X0]: (multiplication(antidomain(X0),X0)=zero)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.58 fof(f48,plain,(
% 0.10/0.58 ![X0]: (addition(antidomain(antidomain(X0)),antidomain(X0))=one)),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.58 fof(f49,plain,(
% 0.10/0.58 ![X0]: (domain(X0)=antidomain(antidomain(X0)))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.58 fof(f56,plain,(
% 0.10/0.58 ![X0,X1]: (forward_diamond(X0,X1)=domain(multiplication(X0,domain(X1))))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.58 fof(f61,plain,(
% 0.10/0.58 ![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))))),
% 0.10/0.58 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.10/0.58 fof(f62,plain,(
% 0.10/0.58 ![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))))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f61])).
% 0.10/0.58 fof(f63,plain,(
% 0.10/0.58 (?[X0]: (divergence(X0)=zero&(?[X1]: (addition(domain(X1),forward_diamond(X0,domain(X1)))=forward_diamond(X0,domain(X1))&~domain(X1)=zero))))),
% 0.10/0.58 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.10/0.58 fof(f64,plain,(
% 0.10/0.58 (divergence(sK0_skl)=zero&(addition(domain(sK1_skl),forward_diamond(sK0_skl,domain(sK1_skl)))=forward_diamond(sK0_skl,domain(sK1_skl))&~domain(sK1_skl)=zero))),
% 0.10/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f63])).
% 0.10/0.58 fof(f65,plain,(
% 0.10/0.58 divergence(sK0_skl)=zero),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f64])).
% 0.10/0.58 fof(f66,plain,(
% 0.10/0.58 addition(domain(sK1_skl),forward_diamond(sK0_skl,domain(sK1_skl)))=forward_diamond(sK0_skl,domain(sK1_skl))),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f64])).
% 0.10/0.58 fof(f67,plain,(
% 0.10/0.58 ~domain(sK1_skl)=zero),
% 0.10/0.58 inference(cnf_transformation,[status(thm)],[f64])).
% 0.10/0.58 fof(f70,plain,(
% 0.10/0.58 ![X0]: (X0=addition(zero,X0))),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f33,f31])).
% 0.10/0.58 fof(f79,plain,(
% 0.10/0.58 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.10/0.58 fof(f83,plain,(
% 0.10/0.58 ![X0]: (addition(domain(sK1_skl),addition(forward_diamond(sK0_skl,domain(sK1_skl)),X0))=addition(forward_diamond(sK0_skl,domain(sK1_skl)),X0))),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f66,f32])).
% 0.10/0.58 fof(f212,plain,(
% 0.10/0.58 antidomain(one)=zero),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f36,f46])).
% 0.10/0.58 fof(f316,plain,(
% 0.10/0.58 domain(one)=antidomain(zero)),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f212,f49])).
% 0.10/0.58 fof(f319,plain,(
% 0.10/0.58 ![X0]: (addition(antidomain(X0),antidomain(antidomain(X0)))=one)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f31,f48])).
% 0.10/0.58 fof(f320,plain,(
% 0.10/0.58 ![X0]: (addition(antidomain(X0),domain(X0))=one)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f49,f319])).
% 0.10/0.58 fof(f321,plain,(
% 0.10/0.58 ![X0]: (addition(domain(X0),antidomain(X0))=one)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f31,f320])).
% 0.10/0.58 fof(f324,plain,(
% 0.10/0.58 addition(domain(one),zero)=one),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f212,f321])).
% 0.10/0.58 fof(f327,plain,(
% 0.10/0.58 domain(one)=one),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f33,f324])).
% 0.10/0.58 fof(f720,plain,(
% 0.10/0.58 ![X0,X1]: (~addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)))=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))))),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f65,f62])).
% 0.10/0.58 fof(f732,plain,(
% 0.10/0.58 ![X0,X1]: (~addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)))=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))))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f79,f720])).
% 0.10/0.58 fof(f733,plain,(
% 0.10/0.58 ![X0,X1]: (~addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)))=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))))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f70,f732])).
% 0.10/0.58 fof(f734,plain,(
% 0.10/0.58 ![X0,X1]: (~addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)))=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))))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f65,f733])).
% 0.10/0.58 fof(f735,plain,(
% 0.10/0.58 ![X0,X1]: (~addition(domain(X0),addition(forward_diamond(sK0_skl,domain(X0)),domain(X1)))=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)))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f70,f734])).
% 0.10/0.58 fof(f792,plain,(
% 0.10/0.58 ![X0]: (addition(forward_diamond(star(sK0_skl),domain(X0)),domain(sK1_skl))=forward_diamond(star(sK0_skl),domain(X0)))),
% 0.10/0.58 inference(resolution,[status(thm)],[f735,f83])).
% 0.10/0.58 fof(f805,plain,(
% 0.10/0.58 ![X0]: (addition(domain(sK1_skl),forward_diamond(star(sK0_skl),domain(X0)))=forward_diamond(star(sK0_skl),domain(X0)))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f31,f792])).
% 0.10/0.58 fof(f839,plain,(
% 0.10/0.58 one=antidomain(zero)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f327,f316])).
% 0.10/0.58 fof(f842,plain,(
% 0.10/0.58 domain(zero)=antidomain(one)),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f839,f49])).
% 0.10/0.58 fof(f846,plain,(
% 0.10/0.58 domain(zero)=zero),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f212,f842])).
% 0.10/0.58 fof(f855,plain,(
% 0.10/0.58 ![X0]: (forward_diamond(X0,zero)=domain(multiplication(X0,zero)))),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f846,f56])).
% 0.10/0.58 fof(f897,plain,(
% 0.10/0.58 ![X0]: (forward_diamond(X0,zero)=domain(zero))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f40,f855])).
% 0.10/0.58 fof(f898,plain,(
% 0.10/0.58 ![X0]: (forward_diamond(X0,zero)=zero)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f846,f897])).
% 0.10/0.58 fof(f1294,plain,(
% 0.10/0.58 addition(domain(sK1_skl),forward_diamond(star(sK0_skl),zero))=forward_diamond(star(sK0_skl),domain(zero))),
% 0.10/0.58 inference(paramodulation,[status(thm)],[f846,f805])).
% 0.10/0.58 fof(f1302,plain,(
% 0.10/0.58 addition(domain(sK1_skl),zero)=forward_diamond(star(sK0_skl),domain(zero))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f898,f1294])).
% 0.10/0.58 fof(f1303,plain,(
% 0.10/0.58 domain(sK1_skl)=forward_diamond(star(sK0_skl),domain(zero))),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f33,f1302])).
% 0.10/0.58 fof(f1304,plain,(
% 0.10/0.58 domain(sK1_skl)=forward_diamond(star(sK0_skl),zero)),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f846,f1303])).
% 0.10/0.58 fof(f1305,plain,(
% 0.10/0.58 domain(sK1_skl)=zero),
% 0.10/0.58 inference(forward_demodulation,[status(thm)],[f898,f1304])).
% 0.10/0.58 fof(f1306,plain,(
% 0.10/0.58 $false),
% 0.10/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1305,f67])).
% 0.10/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.62 % Elapsed time: 0.088762 seconds
% 0.17/0.62 % CPU time: 0.384689 seconds
% 0.17/0.62 % Total memory used: 73.107 MB
% 0.17/0.62 % Net memory used: 72.831 MB
%------------------------------------------------------------------------------