%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX205-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:13:47 PM UTC 2026
% Result : Satisfiable 0.17s 0.45s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Q] : impl(btrue,Q) = Q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Q] : impl(bfalse,Q) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : plus_ninf(X) = impl(eq(s(X),X),eq2(btrue,bfalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
eq2(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
eq2(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : eq(s(X),s(Y)) = eq(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : eq(z,s(X)) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : eq(s(X),z) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : eq(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : eq2(X,X) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X] : eq2(plus_ninf(X),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : impl(btrue,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0] : impl(bfalse,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0] : plus_ninf(X0) = impl(eq(s(X0),X0),eq2(btrue,bfalse)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
eq2(bfalse,btrue) = bfalse,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
eq2(btrue,bfalse) = bfalse,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1] : eq(s(X0),s(X1)) = eq(X0,X1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0] : eq(z,s(X0)) = bfalse,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0] : eq(s(X0),z) = bfalse,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
! [X0] : eq(X0,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0] : eq2(X0,X0) = btrue,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
! [X0] : eq2(plus_ninf(X0),bfalse) != btrue,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f23,definition,
! [X0] : sF0_fnc(X0) = eq2(plus_ninf(X0),bfalse),
introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition]) ).
fof(f24,plain,
! [X0] : sF0_fnc(X0) != btrue,
inference(definition_folding,[],[f22,f23]) ).
fof(f25,plain,
! [X0] : plus_ninf(X0) = impl(eq(s(X0),X0),bfalse),
inference(backward_demodulation,[status(thm)],[f16,f14]) ).
fof(f27,plain,
! [X0] : plus_ninf(s(X0)) = impl(eq(s(X0),X0),bfalse),
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f29,plain,
! [X0] : plus_ninf(s(X0)) = plus_ninf(X0),
inference(forward_demodulation,[status(thm)],[f25,f27]) ).
fof(f30,plain,
! [X0] : sF0_fnc(s(X0)) = eq2(plus_ninf(X0),bfalse),
inference(paramodulation,[status(thm)],[f29,f23]) ).
fof(f31,plain,
! [X0] : sF0_fnc(s(X0)) = sF0_fnc(X0),
inference(forward_demodulation,[status(thm)],[f23,f30]) ).
fof(f33,plain,
plus_ninf(z) = impl(bfalse,bfalse),
inference(paramodulation,[status(thm)],[f19,f25]) ).
fof(f34,plain,
plus_ninf(z) = btrue,
inference(forward_demodulation,[status(thm)],[f13,f33]) ).
fof(f35,plain,
sF0_fnc(z) = eq2(btrue,bfalse),
inference(paramodulation,[status(thm)],[f34,f23]) ).
fof(f36,plain,
sF0_fnc(z) = bfalse,
inference(forward_demodulation,[status(thm)],[f16,f35]) ).
fof(f37,plain,
bfalse != btrue,
inference(paramodulation,[status(thm)],[f36,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWX205-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n009.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 10:33:27 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.45 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/0.45 % SZS output start Saturation for theBenchmark
% See solution above
% 0.17/0.47 % Elapsed time: 0.029460 seconds
% 0.17/0.47 % CPU time: 0.033208 seconds
% 0.17/0.47 % Total memory used: 415.712 KB
% 0.17/0.47 % Net memory used: 392.704 KB
%------------------------------------------------------------------------------