%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 03:35:16 PM UTC 2026
% Result : Unsatisfiable 7.67s 1.63s
% Output : Proof 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 24 unt; 0 def)
% Number of atoms : 84 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 42 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 55 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f8,negated_conjecture,
( ~ p11(X4)
| p11(f9(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_9) ).
fof(f8_nnf,plain,
! [X4] :
( ~ p11(X4)
| p11(f9(X4)) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X4] :
( ~ p11(X4)
| p11(f9(X4)) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ p11(X0)
| p11(f9(X0)) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,negated_conjecture,
ifeq(p11(X0),true,p11(f9(X0)),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(f2,negated_conjecture,
p11(c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16_is_p11_3) ).
fof(f2_nnf,plain,
p11(c16),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
p11(c16),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi2,negated_conjecture,
p11(c16) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h11,plain,
p11(f9(c16)) = true,
inference(hyper_resolution,[status(thm)],[hi8,hi2]) ).
cnf(f17,negated_conjecture,
( ~ p11(X24)
| p3(f4(X24),f6(f8(X24))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_18) ).
fof(f17_nnf,plain,
! [X24] :
( ~ p11(X24)
| p3(f4(X24),f6(f8(X24))) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X24] :
( ~ p11(X24)
| p3(f4(X24),f6(f8(X24))) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p11(X0)
| p3(f4(X0),f6(f8(X0))) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi17,negated_conjecture,
ifeq(p11(X0),true,p3(f4(X0),f6(f8(X0))),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h43,plain,
p3(f4(f9(c16)),f6(f8(f9(c16)))) = true,
inference(hyper_resolution,[status(thm)],[hi17,h11]) ).
cnf(f18,negated_conjecture,
( ~ p11(X4)
| p10(f4(f9(X4)),f4(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_19) ).
fof(f18_nnf,plain,
! [X4] :
( ~ p11(X4)
| p10(f4(f9(X4)),f4(X4)) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X4] :
( ~ p11(X4)
| p10(f4(f9(X4)),f4(X4)) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ p11(X0)
| p10(f4(f9(X0)),f4(X0)) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi18,negated_conjecture,
ifeq(p11(X0),true,p10(f4(f9(X0)),f4(X0)),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h9,plain,
p10(f4(f9(c16)),f4(c16)) = true,
inference(hyper_resolution,[status(thm)],[hi18,hi2]) ).
cnf(f25,negated_conjecture,
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_26) ).
fof(f25_nnf,plain,
! [X0,X1,X2,X3] :
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X0,X1,X2,X3] :
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi24,negated_conjecture,
ifeq(p3(X0,X1),true,ifeq(p3(X2,X3),true,ifeq(p10(X0,X2),true,p10(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(f7,negated_conjecture,
p3(f4(c16),f6(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f7_nnf,plain,
p3(f4(c16),f6(c15)),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
p3(f4(c16),f6(c15)),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,negated_conjecture,
p3(f4(c16),f6(c15)) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h107,plain,
p10(f6(f8(f9(c16))),f6(c15)) = true,
inference(hyper_resolution,[status(thm)],[hi24,h43,hi7,h9]) ).
cnf(f10,negated_conjecture,
( ~ p10(f6(X5),f6(X6))
| p12(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
fof(f10_nnf,plain,
! [X5,X6] :
( ~ p10(f6(X5),f6(X6))
| p12(X5,X6) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X5,X6] :
( ~ p10(f6(X5),f6(X6))
| p12(X5,X6) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ p10(f6(X0),f6(X1))
| p12(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi10,negated_conjecture,
ifeq(p10(f6(X0),f6(X1)),true,p12(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h178,plain,
p12(f8(f9(c16)),c15) = true,
inference(hyper_resolution,[status(thm)],[hi10,h107]) ).
cnf(f24,negated_conjecture,
( ~ p3(f4(X34),f6(X35))
| ~ p12(X35,c15)
| ~ p11(X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_25) ).
fof(f24_nnf,plain,
! [X34,X35] :
( ~ p3(f4(X34),f6(X35))
| ~ p12(X35,c15)
| ~ p11(X34) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X34,X35] :
( ~ p3(f4(X34),f6(X35))
| ~ p12(X35,c15)
| ~ p11(X34) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ~ p3(f4(X0),f6(X1))
| ~ p12(X1,c15)
| ~ p11(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(hi26,negated_conjecture,
ifeq(p11(X0),true,ifeq(p12(X1,c15),true,ifeq(p3(f4(X0),f6(X1)),true,false,true),true),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi26,h11,h178,h43]) ).
cnf(t947,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t947]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:48:35 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.67/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.67/1.63 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------