%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN613-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 03:35:20 PM UTC 2026
% Result : Unsatisfiable 4.17s 0.94s
% Output : Proof 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 40 unt; 0 def)
% Number of atoms : 72 ( 14 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 60 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f28,negated_conjecture,
( ~ p17(X21,X22,X20)
| ~ p11(X20,X19)
| ~ p16(X21,X17)
| ~ p3(X22,X18)
| p17(X17,X18,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).
fof(f28_nnf,plain,
! [X17,X18,X19,X22,X21,X20] :
( ~ p17(X21,X22,X20)
| ~ p11(X20,X19)
| ~ p16(X21,X17)
| ~ p3(X22,X18)
| p17(X17,X18,X19) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X17,X18,X19,X22,X21,X20] :
( ~ p17(X21,X22,X20)
| ~ p11(X20,X19)
| ~ p16(X21,X17)
| ~ p3(X22,X18)
| p17(X17,X18,X19) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( ~ p17(X4,X3,X5)
| ~ p11(X5,X2)
| ~ p16(X4,X0)
| ~ p3(X3,X1)
| p17(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(hi27,negated_conjecture,
ifeq(p3(X0,X1),true,ifeq(p16(X2,X3),true,ifeq(p11(X4,X5),true,ifeq(p17(X2,X0,X4),true,p17(X3,X1,X5),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(f3,negated_conjecture,
p3(X36,X36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f3_nnf,plain,
! [X36] : p3(X36,X36),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X36] : p3(X36,X36),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,negated_conjecture,
p3(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f5,negated_conjecture,
p16(X14,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_6) ).
fof(f5_nnf,plain,
! [X14] : p16(X14,X14),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X14] : p16(X14,X14),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
p16(X0,X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi5,negated_conjecture,
p16(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(f7,negated_conjecture,
p11(c24,f12(f9(c21))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_8) ).
fof(f7_nnf,plain,
p11(c24,f12(f9(c21))),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
p11(c24,f12(f9(c21))),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,negated_conjecture,
p11(c24,f12(f9(c21))) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(f20,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_21) ).
fof(f20_nnf,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(hi20,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(h10,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),f12(f9(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi27,hi3,hi5,hi7,hi20]) ).
cnf(f14,negated_conjecture,
( ~ p11(X0,X2)
| ~ p11(X0,X1)
| p11(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_15) ).
fof(f14_nnf,plain,
! [X1,X2,X0] :
( ~ p11(X0,X2)
| ~ p11(X0,X1)
| p11(X1,X2) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X1,X2,X0] :
( ~ p11(X0,X2)
| ~ p11(X0,X1)
| p11(X1,X2) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi14,negated_conjecture,
ifeq(p11(X0,X1),true,ifeq(p11(X0,X2),true,p11(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(f6,negated_conjecture,
p11(c23,f12(f9(c21))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
fof(f6_nnf,plain,
p11(c23,f12(f9(c21))),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p11(c23,f12(f9(c21))),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,negated_conjecture,
p11(c23,f12(f9(c21))) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(f0,negated_conjecture,
p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
fof(f0_nnf,plain,
! [X0] : p11(X0,X0),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X0] : p11(X0,X0),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
p11(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
p11(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h7,plain,
p11(f12(f9(c21)),c23) = true,
inference(hyper_resolution,[status(thm)],[hi14,hi6,hi0]) ).
cnf(t38,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23) = true,
inference(hyper_resolution,[status(thm)],[hi27,hi3,hi5,h7,h10]) ).
cnf(t317,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23) = true,
inference(orient,[status(thm)],[t38]) ).
cnf(f21,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_22) ).
fof(f21_nnf,plain,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(goal_0,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23) != true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t317]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN613-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 01:55:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.17/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/0.94 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------