%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN583-1 : 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 03:35:15 PM UTC 2026
% Result : Unsatisfiable 3.91s 0.94s
% Output : Proof 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 32 unt; 0 def)
% Number of atoms : 68 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 62 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f22,negated_conjecture,
( ~ p5(X25,X27)
| ~ p2(X26,X28)
| p2(f6(X25,X26),f6(X27,X28)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
fof(f22_nnf,plain,
! [X25,X26,X27,X28] :
( ~ p5(X25,X27)
| ~ p2(X26,X28)
| p2(f6(X25,X26),f6(X27,X28)) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X25,X26,X27,X28] :
( ~ p5(X25,X27)
| ~ p2(X26,X28)
| p2(f6(X25,X26),f6(X27,X28)) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p5(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi21,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p5(X2,X3),true,p2(f6(X2,X0),f6(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(f3,negated_conjecture,
p2(c13,c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f3_nnf,plain,
p2(c13,c18),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
p2(c13,c18),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(hi3,negated_conjecture,
p2(c13,c18) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f2,negated_conjecture,
p5(X31,X31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
fof(f2_nnf,plain,
! [X31] : p5(X31,X31),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X31] : p5(X31,X31),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p5(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p5(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h6,plain,
p2(f6(V0,c13),f6(V0,c18)) = true,
inference(hyper_resolution,[status(thm)],[hi21,hi3,hi2]) ).
cnf(f13,negated_conjecture,
( ~ p2(X23,X24)
| p2(f4(X23),f4(X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f13_nnf,plain,
! [X23,X24] :
( ~ p2(X23,X24)
| p2(f4(X23),f4(X24)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X23,X24] :
( ~ p2(X23,X24)
| p2(f4(X23),f4(X24)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ p2(X0,X1)
| p2(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi12,negated_conjecture,
ifeq(p2(X0,X1),true,p2(f4(X0),f4(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h57,plain,
p2(f4(f6(V0,c13)),f4(f6(V0,c18))) = true,
inference(hyper_resolution,[status(thm)],[hi12,h6]) ).
cnf(f20,negated_conjecture,
( ~ p11(X9,X10)
| ~ p2(X10,X8)
| ~ p2(X9,X7)
| p11(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
fof(f20_nnf,plain,
! [X7,X8,X9,X10] :
( ~ p11(X9,X10)
| ~ p2(X10,X8)
| ~ p2(X9,X7)
| p11(X7,X8) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X7,X8,X9,X10] :
( ~ p11(X9,X10)
| ~ p2(X10,X8)
| ~ p2(X9,X7)
| p11(X7,X8) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi19,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)],[c20]) ).
cnf(f1,negated_conjecture,
p2(X18,X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f1_nnf,plain,
! [X18] : p2(X18,X18),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X18] : p2(X18,X18),
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(f6,negated_conjecture,
p11(f4(f6(c15,c13)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
fof(f6_nnf,plain,
p11(f4(f6(c15,c13)),c16),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p11(f4(f6(c15,c13)),c16),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,negated_conjecture,
p11(f4(f6(c15,c13)),c16) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t65,plain,
p11(f4(f6(c15,c18)),c16) = true,
inference(hyper_resolution,[status(thm)],[hi19,h57,hi1,hi6]) ).
cnf(t336,plain,
p11(f4(f6(c15,c18)),c16) = true,
inference(orient,[status(thm)],[t65]) ).
cnf(f8,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).
fof(f8_nnf,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(goal_0,negated_conjecture,
p11(f4(f6(c15,c18)),c16) != true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t336]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN583-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 01:48:12 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.91/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/0.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------