%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 03:34:13 PM UTC 2026
% Result : Unsatisfiable 14.26s 7.20s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 99 ( 59 unt; 0 def)
% Number of atoms : 167 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 142 ( 74 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 130 ( 18 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f30,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f30_nnf,plain,
m0(b,b,e),
inference(nnf_transformation,[status(thm)],[f30]) ).
cnf(c30,plain,
m0(b,b,e),
inference(cnf_transformation,[status(esa)],[f30_nnf]) ).
cnf(hi30,axiom,
m0(b,b,e) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(h13,plain,
m0(b,b,e) = true,
inference(hyper_resolution,[status(thm)],[hi30]) ).
cnf(f42,axiom,
( ~ m0(C,C,B)
| m1(B,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_005) ).
fof(f42_nnf,plain,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c42,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(hi42,axiom,
ifeq(m0(X0,X0,X1),true,m1(X1,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c42]) ).
cnf(h14,plain,
m1(e,b,e) = true,
inference(hyper_resolution,[status(thm)],[hi42,h13]) ).
cnf(f213,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
fof(f213_nnf,plain,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
inference(nnf_transformation,[status(thm)],[f213]) ).
fof(f213_sk,plain,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
inference(skolemisation,[status(esa)],[f213_nnf]) ).
cnf(c213,plain,
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f213_sk]) ).
cnf(hi210,axiom,
ifeq(m1(X0,X1,X0),true,p2(X1,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c213]) ).
cnf(h24,plain,
p2(b,e,b) = true,
inference(hyper_resolution,[status(thm)],[hi210,h14]) ).
cnf(f39,axiom,
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f39_nnf,plain,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(hi39,axiom,
ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(f6,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f6_nnf,plain,
n0(d,b),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
n0(d,b),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
n0(d,b) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h35,plain,
l1(b,b) = true,
inference(hyper_resolution,[status(thm)],[hi39,hi6]) ).
cnf(f31,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f31_nnf,plain,
k0(b),
inference(nnf_transformation,[status(thm)],[f31]) ).
cnf(c31,plain,
k0(b),
inference(cnf_transformation,[status(esa)],[f31_nnf]) ).
cnf(hi31,axiom,
k0(b) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(h9,plain,
k0(b) = true,
inference(hyper_resolution,[status(thm)],[hi31]) ).
cnf(h8,plain,
n0(d,b) = true,
inference(hyper_resolution,[status(thm)],[hi6]) ).
cnf(f100,axiom,
( ~ k0(E)
| ~ n0(d,D)
| p1(D,D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_063) ).
fof(f100_nnf,plain,
! [D,E] :
( ~ k0(E)
| ~ n0(d,D)
| p1(D,D,E) ),
inference(nnf_transformation,[status(thm)],[f100]) ).
fof(f100_sk,plain,
! [D,E] :
( ~ k0(E)
| ~ n0(d,D)
| p1(D,D,E) ),
inference(skolemisation,[status(esa)],[f100_nnf]) ).
cnf(c100,plain,
( ~ k0(X1)
| ~ n0(d,X0)
| p1(X0,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f100_sk]) ).
cnf(hi99,axiom,
ifeq(n0(d,X0),true,ifeq(k0(X1),true,p1(X0,X0,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c100]) ).
cnf(h34,plain,
p1(b,b,b) = true,
inference(hyper_resolution,[status(thm)],[hi99,h8,h9]) ).
cnf(f183,axiom,
( ~ p2(C,D,C)
| ~ l1(E,F)
| ~ p1(C,E,F)
| p2(C,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_146) ).
fof(f183_nnf,plain,
! [C,D,E,F] :
( ~ p2(C,D,C)
| ~ l1(E,F)
| ~ p1(C,E,F)
| p2(C,D,D) ),
inference(nnf_transformation,[status(thm)],[f183]) ).
fof(f183_sk,plain,
! [C,D,E,F] :
( ~ p2(C,D,C)
| ~ l1(E,F)
| ~ p1(C,E,F)
| p2(C,D,D) ),
inference(skolemisation,[status(esa)],[f183_nnf]) ).
cnf(c183,plain,
( ~ p2(X0,X1,X0)
| ~ l1(X2,X3)
| ~ p1(X0,X2,X3)
| p2(X0,X1,X1) ),
inference(cnf_transformation,[status(esa)],[f183_sk]) ).
cnf(hi180,axiom,
ifeq(p1(X0,X1,X2),true,ifeq(l1(X1,X2),true,ifeq(p2(X0,X3,X0),true,p2(X0,X3,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c183]) ).
cnf(h36,plain,
p2(b,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi180,h34,h35,h24]) ).
cnf(f27,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f27_nnf,plain,
k0(e),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
k0(e),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(hi27,axiom,
k0(e) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(h3,plain,
k0(e) = true,
inference(hyper_resolution,[status(thm)],[hi27]) ).
cnf(f2,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f2_nnf,plain,
n0(d,e),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
n0(d,e),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi2,axiom,
n0(d,e) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h28,plain,
p1(e,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi99,hi2,h3]) ).
cnf(f174,axiom,
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f174_nnf,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(nnf_transformation,[status(thm)],[f174]) ).
fof(f174_sk,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(skolemisation,[status(esa)],[f174_nnf]) ).
cnf(c174,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(esa)],[f174_sk]) ).
cnf(hi171,axiom,
ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(equality_encoding,[status(esa)],[c174]) ).
cnf(h29,plain,
n2(e) = true,
inference(hyper_resolution,[status(thm)],[hi171,h28]) ).
cnf(f13,axiom,
p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f13_nnf,plain,
! [X] : p0(b,X),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] : p0(b,X),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p0(b,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,axiom,
p0(b,X0) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h30,plain,
p0(b,b) = true,
inference(hyper_resolution,[status(thm)],[hi13]) ).
cnf(f162,axiom,
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f162_nnf,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(nnf_transformation,[status(thm)],[f162]) ).
fof(f162_sk,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(skolemisation,[status(esa)],[f162_nnf]) ).
cnf(c162,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(esa)],[f162_sk]) ).
cnf(hi160,axiom,
ifeq(p0(X0,X0),true,s1(X0),true) = true,
inference(equality_encoding,[status(esa)],[c162]) ).
cnf(h31,plain,
s1(b) = true,
inference(hyper_resolution,[status(thm)],[hi160,h30]) ).
cnf(f170,axiom,
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f170_nnf,plain,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
inference(nnf_transformation,[status(thm)],[f170]) ).
fof(f170_sk,plain,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
inference(skolemisation,[status(esa)],[f170_nnf]) ).
cnf(c170,plain,
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f170_sk]) ).
cnf(hi167,axiom,
ifeq(p0(X0,X0),true,ifeq(s1(X1),true,ifeq(m0(X2,X1,X3),true,l2(X3,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c170]) ).
cnf(h32,plain,
l2(e,e) = true,
inference(hyper_resolution,[status(thm)],[hi167,hi13,h31,hi30]) ).
cnf(f269,axiom,
( ~ n2(G)
| ~ l2(G,G)
| m3(G,G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_232) ).
fof(f269_nnf,plain,
! [G] :
( ~ n2(G)
| ~ l2(G,G)
| m3(G,G,G) ),
inference(nnf_transformation,[status(thm)],[f269]) ).
fof(f269_sk,plain,
! [G] :
( ~ n2(G)
| ~ l2(G,G)
| m3(G,G,G) ),
inference(skolemisation,[status(esa)],[f269_nnf]) ).
cnf(c269,plain,
( ~ n2(X0)
| ~ l2(X0,X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f269_sk]) ).
cnf(hi264,axiom,
ifeq(l2(X0,X0),true,ifeq(n2(X0),true,m3(X0,X0,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c269]) ).
cnf(h33,plain,
m3(e,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi264,h32,h29]) ).
cnf(f288,axiom,
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_251) ).
fof(f288_nnf,plain,
! [A,B,C,D] :
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
inference(nnf_transformation,[status(thm)],[f288]) ).
fof(f288_sk,plain,
! [A,B,C,D] :
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
inference(skolemisation,[status(esa)],[f288_nnf]) ).
cnf(c288,plain,
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| p3(X0,X1,X1) ),
inference(cnf_transformation,[status(esa)],[f288_sk]) ).
cnf(hi283,axiom,
ifeq(m3(X0,X1,X2),true,ifeq(p2(X3,X0,X2),true,p3(X3,X0,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c288]) ).
cnf(t38,plain,
p3(b,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi283,h33,h36]) ).
cnf(t879,plain,
p3(b,e,e) = true,
inference(orient,[status(thm)],[t38]) ).
cnf(f368,negated_conjecture,
~ p3(b,e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ p3(b,e,e),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ p3(b,e,e),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ p3(b,e,e),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
p3(b,e,e) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t879]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/5.37 % Computer : n016.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Fri Sep 25 00:45:34 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.26/7.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.26/7.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------