%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 03:35:13 PM UTC 2026
% Result : Unsatisfiable 3.85s 0.94s
% Output : Proof 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 37 unt; 0 def)
% Number of atoms : 81 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 38 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 91 ( 10 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f11,negated_conjecture,
( ~ p2(X11,X13)
| ~ p2(X11,X12)
| p2(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f11_nnf,plain,
! [X12,X13,X11] :
( ~ p2(X11,X13)
| ~ p2(X11,X12)
| p2(X12,X13) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X12,X13,X11] :
( ~ p2(X11,X13)
| ~ p2(X11,X12)
| p2(X12,X13) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi9,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X0,X2),true,p2(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(f13,negated_conjecture,
p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f13_nnf,plain,
! [X24,X25] : p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X24,X25] : p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi11,negated_conjecture,
p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(f1,negated_conjecture,
p2(X11,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f1_nnf,plain,
! [X11] : p2(X11,X11),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X11] : p2(X11,X11),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h1,plain,
p2(f5(f8(V0,V1)),f9(f5(V0),f5(V1))) = true,
inference(hyper_resolution,[status(thm)],[hi9,hi11,hi1]) ).
cnf(f16,negated_conjecture,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).
fof(f16_nnf,plain,
! [X0,X1,X2,X3] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X0,X1,X2,X3] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi14,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X2,X3),true,ifeq(p11(X0,X2),true,p11(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(f2,negated_conjecture,
p11(f5(X10),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_3) ).
fof(f2_nnf,plain,
! [X10] : p11(f5(X10),c14),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X10] : p11(f5(X10),c14),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p11(f5(X0),c14),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p11(f5(X0),c14) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h3,plain,
p11(f9(f5(V0),f5(V1)),c14) = true,
inference(hyper_resolution,[status(thm)],[hi14,h1,hi1,hi2]) ).
cnf(f14,negated_conjecture,
( ~ p11(f9(X6,X8),X7)
| p11(X6,f3(X7,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
fof(f14_nnf,plain,
! [X6,X7,X8] :
( ~ p11(f9(X6,X8),X7)
| p11(X6,f3(X7,X8)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X6,X7,X8] :
( ~ p11(f9(X6,X8),X7)
| p11(X6,f3(X7,X8)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p11(f9(X0,X2),X1)
| p11(X0,f3(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi12,negated_conjecture,
ifeq(p11(f9(X0,X1),X2),true,p11(X0,f3(X2,X1)),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h5,plain,
p11(f5(V0),f3(c14,f5(V1))) = true,
inference(hyper_resolution,[status(thm)],[hi12,h3]) ).
cnf(f6,negated_conjecture,
( ~ p11(f5(f10(X9)),X9)
| p11(c14,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
fof(f6_nnf,plain,
! [X9] :
( ~ p11(f5(f10(X9)),X9)
| p11(c14,X9) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X9] :
( ~ p11(f5(f10(X9)),X9)
| p11(c14,X9) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ p11(f5(f10(X0)),X0)
| p11(c14,X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi4,negated_conjecture,
ifeq(p11(f5(f10(X0)),X0),true,p11(c14,X0),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h7,plain,
p11(c14,f3(c14,f5(V0))) = true,
inference(hyper_resolution,[status(thm)],[hi4,h5]) ).
cnf(f5,negated_conjecture,
~ p11(X39,f3(X39,f5(f6(f7(c12))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_6) ).
fof(f5_nnf,plain,
! [X39] : ~ p11(X39,f3(X39,f5(f6(f7(c12))))),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X39] : ~ p11(X39,f3(X39,f5(f6(f7(c12))))),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ p11(X0,f3(X0,f5(f6(f7(c12))))),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi19,negated_conjecture,
ifeq(p11(X0,f3(X0,f5(f6(f7(c12))))),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi19,h7]) ).
cnf(t144,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f3,negated_conjecture,
~ p11(c13,f5(X40)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_4) ).
fof(f3_nnf,plain,
! [X40] : ~ p11(c13,f5(X40)),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X40] : ~ p11(c13,f5(X40)),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
~ p11(c13,f5(X0)),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c3,c5]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t144]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:46:28 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.85/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.85/0.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------