%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN708-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 03:20:23 PM UTC 2026
% Result : Unsatisfiable 83.35s 10.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN708-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:15:33 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 83.35/10.96 % Refutation found
% 83.35/10.96 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 83.35/10.96 % SZS output start CNFRefutation for theBenchmark
% 83.35/10.96 fof(f1,axiom,(
% 83.35/10.96 (![A,B,C]: (ifeq2(A,A,B,C) = B ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f2,axiom,(
% 83.35/10.96 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f3,negated_conjecture,(
% 83.35/10.96 p38(c56) = true ),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f4,negated_conjecture,(
% 83.35/10.96 (![X0]: (p10(X0,X0) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f12,negated_conjecture,(
% 83.35/10.96 p37(f15(c56),c48) = true ),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f13,negated_conjecture,(
% 83.35/10.96 (![X27]: (ifeq2(p38(X27),true,p38(f15(X27)),true) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f17,negated_conjecture,(
% 83.35/10.96 (![X98,X97]: (ifeq2(p10(X98,X97),true,ifeq2(p38(X98),true,p38(X97),true),true) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f30,negated_conjecture,(
% 83.35/10.96 (![X25,X26]: (ifeq2(p10(X25,X26),true,p16(f19(X25),f19(X26)),true) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f34,negated_conjecture,(
% 83.35/10.96 (![X27]: (ifeq2(p38(X27),true,p16(f19(f15(X27)),f28(f19(X27))),true) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f35,negated_conjecture,(
% 83.35/10.96 (![X0,X2,X1]: (ifeq2(p10(X0,X2),true,ifeq2(p10(X0,X1),true,p10(X1,X2),true),true) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f50,negated_conjecture,(
% 83.35/10.96 (![X101,X102,X99,X100]: (ifeq2(p39(X101,X102),true,ifeq2(p16(X101,X99),true,ifeq2(p16(X102,X100),true,p39(X99,X100),true),true),true) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f52,negated_conjecture,(
% 83.35/10.96 (![X91,X92]: (ifeq2(p37(X91,X92),true,ifeq2(p38(X92),true,ifeq2(p38(X91),true,p39(f19(X91),f19(X92)),true),true),true) = true ))),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f62,negated_conjecture,(
% 83.35/10.96 p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true ),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f64,negated_conjecture,(
% 83.35/10.96 p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) = true ),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f85,negated_conjecture,(
% 83.35/10.96 ifeq(p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true,a,b) = b ),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f86,negated_conjecture,(
% 83.35/10.96 a != b ),
% 83.35/10.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 83.35/10.96 fof(f87,plain,(
% 83.35/10.96 ![X0,X1,X2]: (ifeq2(X0,X0,X1,X2)=X1)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f1])).
% 83.35/10.96 fof(f88,plain,(
% 83.35/10.96 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f2])).
% 83.35/10.96 fof(f89,plain,(
% 83.35/10.96 p38(c56)=true),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f3])).
% 83.35/10.96 fof(f90,plain,(
% 83.35/10.96 ![X0]: (p10(X0,X0)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f4])).
% 83.35/10.96 fof(f98,plain,(
% 83.35/10.96 p37(f15(c56),c48)=true),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f12])).
% 83.35/10.96 fof(f99,plain,(
% 83.35/10.96 ![X0]: (ifeq2(p38(X0),true,p38(f15(X0)),true)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f13])).
% 83.35/10.96 fof(f103,plain,(
% 83.35/10.96 ![X0,X1]: (ifeq2(p10(X0,X1),true,ifeq2(p38(X0),true,p38(X1),true),true)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f17])).
% 83.35/10.96 fof(f116,plain,(
% 83.35/10.96 ![X0,X1]: (ifeq2(p10(X0,X1),true,p16(f19(X0),f19(X1)),true)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f30])).
% 83.35/10.96 fof(f120,plain,(
% 83.35/10.96 ![X0]: (ifeq2(p38(X0),true,p16(f19(f15(X0)),f28(f19(X0))),true)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f34])).
% 83.35/10.96 fof(f121,plain,(
% 83.35/10.96 ![X0,X1,X2]: (ifeq2(p10(X0,X1),true,ifeq2(p10(X0,X2),true,p10(X2,X1),true),true)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f35])).
% 83.35/10.96 fof(f136,plain,(
% 83.35/10.96 ![X0,X1,X2,X3]: (ifeq2(p39(X0,X1),true,ifeq2(p16(X0,X2),true,ifeq2(p16(X1,X3),true,p39(X2,X3),true),true),true)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f50])).
% 83.35/10.96 fof(f138,plain,(
% 83.35/10.96 ![X0,X1]: (ifeq2(p37(X0,X1),true,ifeq2(p38(X1),true,ifeq2(p38(X0),true,p39(f19(X0),f19(X1)),true),true),true)=true)),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f52])).
% 83.35/10.96 fof(f148,plain,(
% 83.35/10.96 p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))=true),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f62])).
% 83.35/10.96 fof(f150,plain,(
% 83.35/10.96 p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))=true),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f64])).
% 83.35/10.96 fof(f171,plain,(
% 83.35/10.96 ifeq(p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true,a,b)=b),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f85])).
% 83.35/10.96 fof(f172,plain,(
% 83.35/10.96 ~a=b),
% 83.35/10.96 inference(cnf_transformation,[status(thm)],[f86])).
% 83.35/10.96 fof(f173,plain,(
% 83.35/10.96 ifeq2(true,true,p38(f15(c56)),true)=true),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f89,f99])).
% 83.35/10.96 fof(f174,plain,(
% 83.35/10.96 p38(f15(c56))=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f173])).
% 83.35/10.96 fof(f303,plain,(
% 83.35/10.96 ifeq2(true,true,p16(f19(f15(c56)),f28(f19(c56))),true)=true),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f89,f120])).
% 83.35/10.96 fof(f308,plain,(
% 83.35/10.96 p16(f19(f15(c56)),f28(f19(c56)))=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f303])).
% 83.35/10.96 fof(f309,plain,(
% 83.35/10.96 ![X0,X1]: (ifeq2(true,true,ifeq2(p10(X0,X1),true,p10(X1,X0),true),true)=true)),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f90,f121])).
% 83.35/10.96 fof(f313,plain,(
% 83.35/10.96 ![X0,X1]: (ifeq2(p10(X0,X1),true,p10(X1,X0),true)=true)),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f309])).
% 83.35/10.96 fof(f473,plain,(
% 83.35/10.96 ifeq2(true,true,ifeq2(p38(c48),true,ifeq2(p38(f15(c56)),true,p39(f19(f15(c56)),f19(c48)),true),true),true)=true),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f98,f138])).
% 83.35/10.96 fof(f484,plain,(
% 83.35/10.96 ifeq2(p38(c48),true,ifeq2(p38(f15(c56)),true,p39(f19(f15(c56)),f19(c48)),true),true)=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f473])).
% 83.35/10.96 fof(f485,plain,(
% 83.35/10.96 ifeq2(p38(c48),true,ifeq2(true,true,p39(f19(f15(c56)),f19(c48)),true),true)=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f174,f484])).
% 83.35/10.96 fof(f486,plain,(
% 83.35/10.96 ifeq2(p38(c48),true,p39(f19(f15(c56)),f19(c48)),true)=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f485])).
% 83.35/10.96 fof(f620,plain,(
% 83.35/10.96 ![X0]: (ifeq2(p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X0),true,ifeq2(true,true,p38(X0),true),true)=true)),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f148,f103])).
% 83.35/10.96 fof(f629,plain,(
% 83.35/10.96 ![X0]: (ifeq2(p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X0),true,p38(X0),true)=true)),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f620])).
% 83.35/10.96 fof(f683,plain,(
% 83.35/10.96 ifeq2(true,true,p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),true)=true),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f150,f313])).
% 83.35/10.96 fof(f688,plain,(
% 83.35/10.96 ifeq2(true,true,p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true)=true),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f150,f116])).
% 83.35/10.96 fof(f704,plain,(
% 83.35/10.96 p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48)=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f683])).
% 83.35/10.96 fof(f708,plain,(
% 83.35/10.96 p16(f19(c48),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f688])).
% 83.35/10.96 fof(f1171,plain,(
% 83.35/10.96 ![X0,X1]: (ifeq2(p39(f19(f15(c56)),X0),true,ifeq2(true,true,ifeq2(p16(X0,X1),true,p39(f28(f19(c56)),X1),true),true),true)=true)),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f308,f136])).
% 83.35/10.96 fof(f1194,plain,(
% 83.35/10.96 ![X0,X1]: (ifeq2(p39(f19(f15(c56)),X0),true,ifeq2(p16(X0,X1),true,p39(f28(f19(c56)),X1),true),true)=true)),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f1171])).
% 83.35/10.96 fof(f14729,plain,(
% 83.35/10.96 ifeq2(true,true,p38(c48),true)=true),
% 83.35/10.96 inference(paramodulation,[status(thm)],[f704,f629])).
% 83.35/10.96 fof(f14828,plain,(
% 83.35/10.96 ifeq2(true,true,p39(f19(f15(c56)),f19(c48)),true)=true),
% 83.35/10.96 inference(backward_demodulation,[status(thm)],[f14830,f486])).
% 83.35/10.96 fof(f14830,plain,(
% 83.35/10.96 p38(c48)=true),
% 83.35/10.96 inference(forward_demodulation,[status(thm)],[f87,f14729])).
% 19.51/11.45 fof(f14933,plain,(
% 19.51/11.45 p39(f19(f15(c56)),f19(c48))=true),
% 19.51/11.45 inference(forward_demodulation,[status(thm)],[f87,f14828])).
% 19.51/11.45 fof(f18023,plain,(
% 19.51/11.45 ifeq2(p39(f19(f15(c56)),f19(c48)),true,ifeq2(true,true,p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true),true)=true),
% 19.51/11.45 inference(paramodulation,[status(thm)],[f708,f1194])).
% 19.51/11.45 fof(f18108,plain,(
% 19.51/11.45 ifeq2(true,true,ifeq2(true,true,p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true),true)=true),
% 19.51/11.45 inference(forward_demodulation,[status(thm)],[f14933,f18023])).
% 19.51/11.45 fof(f18109,plain,(
% 19.51/11.45 ifeq2(true,true,p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),true)=true),
% 19.51/11.45 inference(forward_demodulation,[status(thm)],[f87,f18108])).
% 19.51/11.45 fof(f18110,plain,(
% 19.51/11.45 ifeq(true,true,a,b)=b),
% 19.51/11.45 inference(backward_demodulation,[status(thm)],[f18111,f171])).
% 19.51/11.45 fof(f18111,plain,(
% 19.51/11.45 p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))=true),
% 19.51/11.45 inference(forward_demodulation,[status(thm)],[f87,f18109])).
% 19.51/11.45 fof(f18120,plain,(
% 19.51/11.45 a=b),
% 19.51/11.45 inference(forward_demodulation,[status(thm)],[f88,f18110])).
% 19.51/11.45 fof(f18121,plain,(
% 19.51/11.45 $false),
% 19.51/11.45 inference(forward_subsumption_resolution,[status(thm)],[f18120,f172])).
% 19.51/11.45 % SZS output end CNFRefutation for theBenchmark.p
% 19.51/11.48 % Elapsed time: 11.090920 seconds
% 19.51/11.48 % CPU time: 87.412871 seconds
% 19.51/11.48 % Total memory used: 2.392 GB
% 19.51/11.48 % Net memory used: 2.387 GB
%------------------------------------------------------------------------------