%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 02:13:36 PM UTC 2026
% Result : Unsatisfiable 5.02s 1.20s
% Output : Proof 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 7
% Syntax : Number of formulae : 69 ( 49 unt; 0 def)
% Number of atoms : 89 ( 41 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
fof(f0_nnf,plain,
p(s0,s0,s0,s0,s0),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
p(s0,s0,s0,s0,s0),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,axiom,
p(s0,s0,s0,s0,s0) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h0,plain,
p(s0,s0,s0,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi0]) ).
cnf(f1,axiom,
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
fof(f1_nnf,plain,
! [X0,X1,X2,X3] :
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X0,X1,X2,X3] :
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
ifeq(p(X0,X1,X2,X3,s0),true,p(X0,X1,X2,X3,s1),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h1,plain,
p(s0,s0,s0,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h0]) ).
cnf(f2,axiom,
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
fof(f2_nnf,plain,
! [X0,X1,X2] :
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X0,X1,X2] :
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
ifeq(p(X0,X1,X2,s0,s1),true,p(X0,X1,X2,s1,s0),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h2,plain,
p(s0,s0,s0,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h1]) ).
cnf(h3,plain,
p(s0,s0,s0,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h2]) ).
cnf(f3,axiom,
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
fof(f3_nnf,plain,
! [X0,X1] :
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X0,X1] :
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,axiom,
ifeq(p(X0,X1,s0,s1,s1),true,p(X0,X1,s1,s0,s0),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(h4,plain,
p(s0,s0,s1,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi3,h3]) ).
cnf(h5,plain,
p(s0,s0,s1,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h4]) ).
cnf(h6,plain,
p(s0,s0,s1,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h5]) ).
cnf(h7,plain,
p(s0,s0,s1,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h6]) ).
cnf(f4,axiom,
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
fof(f4_nnf,plain,
! [X0] :
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X0] :
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,axiom,
ifeq(p(X0,s0,s1,s1,s1),true,p(X0,s1,s0,s0,s0),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h8,plain,
p(s0,s1,s0,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi4,h7]) ).
cnf(h9,plain,
p(s0,s1,s0,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h8]) ).
cnf(h10,plain,
p(s0,s1,s0,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h9]) ).
cnf(h11,plain,
p(s0,s1,s0,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h10]) ).
cnf(h12,plain,
p(s0,s1,s1,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi3,h11]) ).
cnf(h13,plain,
p(s0,s1,s1,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h12]) ).
cnf(h14,plain,
p(s0,s1,s1,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h13]) ).
cnf(h15,plain,
p(s0,s1,s1,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h14]) ).
cnf(f5,axiom,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
fof(f5_nnf,plain,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi5,axiom,
ifeq(p(s0,s1,s1,s1,s1),true,p(s1,s0,s0,s0,s0),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(h16,plain,
p(s1,s0,s0,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi5,h15]) ).
cnf(h17,plain,
p(s1,s0,s0,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h16]) ).
cnf(h18,plain,
p(s1,s0,s0,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h17]) ).
cnf(h19,plain,
p(s1,s0,s0,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h18]) ).
cnf(h20,plain,
p(s1,s0,s1,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi3,h19]) ).
cnf(h21,plain,
p(s1,s0,s1,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h20]) ).
cnf(h22,plain,
p(s1,s0,s1,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h21]) ).
cnf(h23,plain,
p(s1,s0,s1,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h22]) ).
cnf(h24,plain,
p(s1,s1,s0,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi4,h23]) ).
cnf(h25,plain,
p(s1,s1,s0,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h24]) ).
cnf(h26,plain,
p(s1,s1,s0,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h25]) ).
cnf(h27,plain,
p(s1,s1,s0,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h26]) ).
cnf(h28,plain,
p(s1,s1,s1,s0,s0) = true,
inference(hyper_resolution,[status(thm)],[hi3,h27]) ).
cnf(h29,plain,
p(s1,s1,s1,s0,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h28]) ).
cnf(h30,plain,
p(s1,s1,s1,s1,s0) = true,
inference(hyper_resolution,[status(thm)],[hi2,h29]) ).
cnf(t2,plain,
p(s1,s1,s1,s1,s1) = true,
inference(hyper_resolution,[status(thm)],[hi1,h30]) ).
cnf(t9,plain,
p(s1,s1,s1,s1,s1) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(f6,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f6_nnf,plain,
~ p(s1,s1,s1,s1,s1),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
~ p(s1,s1,s1,s1,s1),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
~ p(s1,s1,s1,s1,s1),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(goal_0,negated_conjecture,
p(s1,s1,s1,s1,s1) != true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t9]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.43 % Computer : n014.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Thu Sep 24 01:29:33 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.02/1.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.02/1.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------