%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 01:09:21 PM UTC 2026
% Result : Unsatisfiable 35.75s 4.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.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 00:09:22 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 35.75/4.95 % Refutation found
% 35.75/4.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 35.75/4.95 % SZS output start CNFRefutation for theBenchmark
% 35.75/4.95 fof(f1,axiom,(
% 35.75/4.95 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 35.75/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.75/4.95 fof(f2,axiom,(
% 35.75/4.95 (![X,Y]: (ifeq(is_a_theorem(equivalent(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true ))),
% 35.75/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.75/4.95 fof(f3,axiom,(
% 35.75/4.95 (![X,Y,Z,U]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) = true ))),
% 35.75/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.75/4.95 fof(f4,axiom,(
% 35.75/4.95 (![X,Y,Z,U,V]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)) = true ))),
% 35.75/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.75/4.95 fof(f5,axiom,(
% 35.75/4.95 (![X,Y,Z,U,V]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(X,V),Z),equivalent(equivalent(Y,V),U)))) = true ))),
% 35.75/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.75/4.95 fof(f6,negated_conjecture,(
% 35.75/4.95 is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) != true ),
% 35.75/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.75/4.95 fof(f7,plain,(
% 35.75/4.95 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 35.75/4.95 inference(cnf_transformation,[status(thm)],[f1])).
% 35.75/4.95 fof(f8,plain,(
% 35.75/4.95 ![X0,X1]: (ifeq(is_a_theorem(equivalent(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true)=true)),
% 35.75/4.95 inference(cnf_transformation,[status(thm)],[f2])).
% 35.75/4.95 fof(f9,plain,(
% 35.75/4.95 ![X0,X1,X2,X3]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3))=true)),
% 35.75/4.95 inference(cnf_transformation,[status(thm)],[f3])).
% 35.75/4.95 fof(f10,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4))=true)),
% 35.75/4.95 inference(cnf_transformation,[status(thm)],[f4])).
% 35.75/4.95 fof(f11,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))))=true)),
% 35.75/4.95 inference(cnf_transformation,[status(thm)],[f5])).
% 35.75/4.95 fof(f12,plain,(
% 35.75/4.95 ~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))=true),
% 35.75/4.95 inference(cnf_transformation,[status(thm)],[f6])).
% 35.75/4.95 fof(f22,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4]: (ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true),true)=true)),
% 35.75/4.95 inference(paramodulation,[status(thm)],[f11,f8])).
% 35.75/4.95 fof(f23,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4,X5]: (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,ifeq(true,true,is_a_theorem(X5),true),true)=true)),
% 35.75/4.95 inference(paramodulation,[status(thm)],[f10,f8])).
% 35.75/4.95 fof(f31,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4]: (ifeq(is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)),true,is_a_theorem(equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3))),true)=true)),
% 35.75/4.95 inference(forward_demodulation,[status(thm)],[f7,f22])).
% 35.75/4.95 fof(f32,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4,X5]: (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4),X5)),true,is_a_theorem(X5),true)=true)),
% 35.75/4.95 inference(forward_demodulation,[status(thm)],[f7,f23])).
% 35.75/4.95 fof(f53,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4,X5]: (ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5))),true)=true)),
% 35.75/4.95 inference(paramodulation,[status(thm)],[f10,f31])).
% 35.75/4.95 fof(f54,plain,(
% 35.75/4.95 ![X0,X1,X2,X3,X4]: (ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4))),true)=true)),
% 33.33/5.05 inference(paramodulation,[status(thm)],[f9,f31])).
% 33.33/5.05 fof(f60,plain,(
% 33.33/5.05 ![X0,X1,X2,X3,X4,X5]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),X5),equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),X5)))=true)),
% 33.33/5.05 inference(forward_demodulation,[status(thm)],[f7,f53])).
% 33.33/5.05 fof(f61,plain,(
% 33.33/5.05 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4),equivalent(equivalent(equivalent(X1,X2),X3),X4)))=true)),
% 33.33/5.05 inference(forward_demodulation,[status(thm)],[f7,f54])).
% 33.33/5.05 fof(f480,plain,(
% 33.33/5.05 ![X0,X1,X2,X3,X4]: (ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4)),true)=true)),
% 33.33/5.05 inference(paramodulation,[status(thm)],[f60,f32])).
% 33.33/5.05 fof(f505,plain,(
% 33.33/5.05 ![X0,X1,X2,X3,X4]: (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),X4),X4))=true)),
% 33.33/5.05 inference(forward_demodulation,[status(thm)],[f7,f480])).
% 33.33/5.05 fof(f534,plain,(
% 33.33/5.05 ![X0,X1,X2,X3,X4]: (ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true),true)=true)),
% 33.33/5.05 inference(paramodulation,[status(thm)],[f61,f8])).
% 33.33/5.05 fof(f556,plain,(
% 33.33/5.05 ![X0,X1,X2,X3,X4]: (ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),X4)),true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4)),true)=true)),
% 33.33/5.05 inference(forward_demodulation,[status(thm)],[f7,f534])).
% 33.33/5.05 fof(f6653,plain,(
% 33.33/5.05 ![X0,X1,X2]: (ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2)),true)=true)),
% 33.33/5.05 inference(paramodulation,[status(thm)],[f505,f556])).
% 33.33/5.05 fof(f6777,plain,(
% 33.33/5.05 ~true=true),
% 33.33/5.05 inference(backward_demodulation,[status(thm)],[f6779,f12])).
% 33.33/5.05 fof(f6779,plain,(
% 33.33/5.05 ![X0,X1,X2]: (is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2),X2))=true)),
% 33.33/5.05 inference(forward_demodulation,[status(thm)],[f7,f6653])).
% 33.33/5.05 fof(f6852,plain,(
% 33.33/5.05 $false),
% 33.33/5.05 inference(trivial_equality_resolution,[status(thm)],[f6777])).
% 33.33/5.05 % SZS output end CNFRefutation for theBenchmark.p
% 35.18/11.89 % Elapsed time: 11.524748 seconds
% 35.18/11.89 % CPU time: 91.048467 seconds
% 35.18/11.89 % Total memory used: 47.367 GB
% 35.18/11.89 % Net memory used: 47.366 GB
%------------------------------------------------------------------------------