%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 03:33:49 PM UTC 2026
% Result : Unsatisfiable 5.22s 6.12s
% Output : Proof 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 23 unt; 0 def)
% Number of atoms : 199 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 229 ( 117 ~; 112 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 52 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f29,axiom,
( ~ q_8(X)
| ~ p_7(X)
| q_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_13) ).
fof(f29_nnf,plain,
! [X] :
( ~ q_8(X)
| ~ p_7(X)
| q_6(X) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X] :
( ~ q_8(X)
| ~ p_7(X)
| q_6(X) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ q_8(X0)
| ~ p_7(X0)
| q_6(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f15,axiom,
( ~ p_9(X)
| ~ p_8(X)
| p_7(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_15) ).
fof(f15_nnf,plain,
! [X] :
( ~ p_9(X)
| ~ p_8(X)
| p_7(X) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X] :
( ~ p_9(X)
| ~ p_8(X)
| p_7(X) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ~ p_9(X0)
| ~ p_8(X0)
| p_7(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(f37,axiom,
p_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_1) ).
fof(f37_nnf,plain,
p_8(a),
inference(nnf_transformation,[status(thm)],[f37]) ).
cnf(c37,plain,
p_8(a),
inference(cnf_transformation,[status(esa)],[f37_nnf]) ).
cnf(p82,plain,
( ~ p_9(a)
| p_7(a) ),
inference(resolution,[status(thm)],[c15,c37]) ).
cnf(f38,axiom,
p_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_2) ).
fof(f38_nnf,plain,
p_9(a),
inference(nnf_transformation,[status(thm)],[f38]) ).
cnf(c38,plain,
p_9(a),
inference(cnf_transformation,[status(esa)],[f38_nnf]) ).
cnf(p83,plain,
p_7(a),
inference(resolution,[status(thm)],[p82,c38]) ).
cnf(p106,plain,
( ~ q_8(a)
| q_6(a) ),
inference(resolution,[status(thm)],[c29,p83]) ).
cnf(f39,axiom,
q_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_3) ).
fof(f39_nnf,plain,
q_8(a),
inference(nnf_transformation,[status(thm)],[f39]) ).
cnf(c39,plain,
q_8(a),
inference(cnf_transformation,[status(esa)],[f39_nnf]) ).
cnf(p107,plain,
q_6(a),
inference(resolution,[status(thm)],[p106,c39]) ).
cnf(f25,axiom,
( ~ q_6(X)
| ~ p_5(X)
| q_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_9) ).
fof(f25_nnf,plain,
! [X] :
( ~ q_6(X)
| ~ p_5(X)
| q_4(X) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X] :
( ~ q_6(X)
| ~ p_5(X)
| q_4(X) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ q_6(X0)
| ~ p_5(X0)
| q_4(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(f13,axiom,
( ~ p_8(X)
| ~ p_7(X)
| p_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_13) ).
fof(f13_nnf,plain,
! [X] :
( ~ p_8(X)
| ~ p_7(X)
| p_6(X) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] :
( ~ p_8(X)
| ~ p_7(X)
| p_6(X) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ p_8(X0)
| ~ p_7(X0)
| p_6(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p84,plain,
( ~ p_8(a)
| p_6(a) ),
inference(resolution,[status(thm)],[p83,c13]) ).
cnf(p85,plain,
p_6(a),
inference(resolution,[status(thm)],[p84,c37]) ).
cnf(f11,axiom,
( ~ p_7(X)
| ~ p_6(X)
| p_5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_11) ).
fof(f11_nnf,plain,
! [X] :
( ~ p_7(X)
| ~ p_6(X)
| p_5(X) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] :
( ~ p_7(X)
| ~ p_6(X)
| p_5(X) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ p_7(X0)
| ~ p_6(X0)
| p_5(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p86,plain,
( ~ p_7(a)
| p_5(a) ),
inference(resolution,[status(thm)],[p85,c11]) ).
cnf(p87,plain,
p_5(a),
inference(resolution,[status(thm)],[p86,p83]) ).
cnf(p104,plain,
( ~ q_6(a)
| q_4(a) ),
inference(resolution,[status(thm)],[c25,p87]) ).
cnf(p108,plain,
q_4(a),
inference(resolution,[status(thm)],[p107,p104]) ).
cnf(f21,axiom,
( ~ q_4(X)
| ~ p_3(X)
| q_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_5) ).
fof(f21_nnf,plain,
! [X] :
( ~ q_4(X)
| ~ p_3(X)
| q_2(X) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X] :
( ~ q_4(X)
| ~ p_3(X)
| q_2(X) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ q_4(X0)
| ~ p_3(X0)
| q_2(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(f9,axiom,
( ~ p_6(X)
| ~ p_5(X)
| p_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_9) ).
fof(f9_nnf,plain,
! [X] :
( ~ p_6(X)
| ~ p_5(X)
| p_4(X) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X] :
( ~ p_6(X)
| ~ p_5(X)
| p_4(X) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ p_6(X0)
| ~ p_5(X0)
| p_4(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p89,plain,
( ~ p_6(a)
| p_4(a) ),
inference(resolution,[status(thm)],[p87,c9]) ).
cnf(p90,plain,
p_4(a),
inference(resolution,[status(thm)],[p89,p85]) ).
cnf(f7,axiom,
( ~ p_5(X)
| ~ p_4(X)
| p_3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_7) ).
fof(f7_nnf,plain,
! [X] :
( ~ p_5(X)
| ~ p_4(X)
| p_3(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( ~ p_5(X)
| ~ p_4(X)
| p_3(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ p_5(X0)
| ~ p_4(X0)
| p_3(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p91,plain,
( ~ p_5(a)
| p_3(a) ),
inference(resolution,[status(thm)],[p90,c7]) ).
cnf(p92,plain,
p_3(a),
inference(resolution,[status(thm)],[p91,p87]) ).
cnf(p102,plain,
( ~ q_4(a)
| q_2(a) ),
inference(resolution,[status(thm)],[c21,p92]) ).
cnf(p110,plain,
q_2(a),
inference(resolution,[status(thm)],[p108,p102]) ).
cnf(f5,axiom,
( ~ p_4(X)
| ~ p_3(X)
| p_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_5) ).
fof(f5_nnf,plain,
! [X] :
( ~ p_4(X)
| ~ p_3(X)
| p_2(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ~ p_4(X)
| ~ p_3(X)
| p_2(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ p_4(X0)
| ~ p_3(X0)
| p_2(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p93,plain,
( ~ p_4(a)
| p_2(a) ),
inference(resolution,[status(thm)],[p92,c5]) ).
cnf(p94,plain,
p_2(a),
inference(resolution,[status(thm)],[p93,p90]) ).
cnf(f3,axiom,
( ~ p_3(X)
| ~ p_2(X)
| p_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_3) ).
fof(f3_nnf,plain,
! [X] :
( ~ p_3(X)
| ~ p_2(X)
| p_1(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ p_3(X)
| ~ p_2(X)
| p_1(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ p_3(X0)
| ~ p_2(X0)
| p_1(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p95,plain,
( ~ p_3(a)
| p_1(a) ),
inference(resolution,[status(thm)],[p94,c3]) ).
cnf(p97,plain,
p_1(a),
inference(resolution,[status(thm)],[p95,p92]) ).
cnf(f17,axiom,
( ~ q_2(X)
| ~ p_1(X)
| q_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_1) ).
fof(f17_nnf,plain,
! [X] :
( ~ q_2(X)
| ~ p_1(X)
| q_0(X) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X] :
( ~ q_2(X)
| ~ p_1(X)
| q_0(X) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ q_2(X0)
| ~ p_1(X0)
| q_0(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p99,plain,
( ~ q_2(a)
| q_0(a) ),
inference(resolution,[status(thm)],[p97,c17]) ).
cnf(p113,plain,
q_0(a),
inference(resolution,[status(thm)],[p110,p99]) ).
cnf(f1,axiom,
( ~ p_2(X)
| ~ p_1(X)
| p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_1) ).
fof(f1_nnf,plain,
! [X] :
( ~ p_2(X)
| ~ p_1(X)
| p_0(X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X] :
( ~ p_2(X)
| ~ p_1(X)
| p_0(X) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ p_2(X0)
| ~ p_1(X0)
| p_0(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p98,plain,
( ~ p_2(a)
| p_0(a) ),
inference(resolution,[status(thm)],[p97,c1]) ).
cnf(p100,plain,
p_0(a),
inference(resolution,[status(thm)],[p98,p94]) ).
cnf(f0,negated_conjecture,
( ~ q_0(X)
| ~ p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_goal_1) ).
fof(f0_nnf,plain,
! [X] :
( ~ q_0(X)
| ~ p_0(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ~ q_0(X)
| ~ p_0(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ q_0(X0)
| ~ p_0(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p101,plain,
~ q_0(a),
inference(resolution,[status(thm)],[p100,c0]) ).
cnf(p114,plain,
$false,
inference(resolution,[status(thm)],[p113,p101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.39 % Computer : n015.cluster.edu
% 0.09/5.39 % Model : x86_64 x86_64
% 0.09/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39 % Memory : 8046.5625MB
% 0.09/5.39 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Fri Sep 25 00:13:47 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.22/6.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.22/6.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------