%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN209-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 03:34:04 PM UTC 2026
% Result : Unsatisfiable 6.82s 6.44s
% Output : Proof 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 36 unt; 0 def)
% Number of atoms : 100 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 46 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 80 ( 21 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f40,axiom,
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f40_nnf,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi40,axiom,
ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(f17,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f17_nnf,plain,
p0(c,b),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
p0(c,b),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi17,axiom,
p0(c,b) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(f12,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f12_nnf,plain,
r0(e),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
r0(e),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
r0(e) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(f26,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f26_nnf,plain,
m0(e,b,c),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
m0(e,b,c),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi26,axiom,
m0(e,b,c) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h87,plain,
l1(b,e) = true,
inference(hyper_resolution,[status(thm)],[hi40,hi17,hi12,hi26]) ).
cnf(f103,axiom,
( ~ n0(H,G)
| p1(G,G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_066) ).
fof(f103_nnf,plain,
! [G,H] :
( ~ n0(H,G)
| p1(G,G,G) ),
inference(nnf_transformation,[status(thm)],[f103]) ).
fof(f103_sk,plain,
! [G,H] :
( ~ n0(H,G)
| p1(G,G,G) ),
inference(skolemisation,[status(esa)],[f103_nnf]) ).
cnf(c103,plain,
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f103_sk]) ).
cnf(hi102,axiom,
ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c103]) ).
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(h4,plain,
p1(e,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi102,hi2]) ).
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(h137,plain,
n2(e) = true,
inference(hyper_resolution,[status(thm)],[hi171,h4]) ).
cnf(f38,axiom,
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f38_nnf,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi38,axiom,
ifeq(n0(X0,X1),true,k1(X1),true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(h6,plain,
k1(e) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi2]) ).
cnf(f286,axiom,
( ~ n2(H)
| ~ k1(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_249) ).
fof(f286_nnf,plain,
! [H] :
( ~ n2(H)
| ~ k1(H)
| p3(H,H,H) ),
inference(nnf_transformation,[status(thm)],[f286]) ).
fof(f286_sk,plain,
! [H] :
( ~ n2(H)
| ~ k1(H)
| p3(H,H,H) ),
inference(skolemisation,[status(esa)],[f286_nnf]) ).
cnf(c286,plain,
( ~ n2(X0)
| ~ k1(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f286_sk]) ).
cnf(hi281,axiom,
ifeq(k1(X0),true,ifeq(n2(X0),true,p3(X0,X0,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c286]) ).
cnf(h195,plain,
p3(e,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi281,h6,h137]) ).
cnf(f336,axiom,
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).
fof(f336_nnf,plain,
! [A,B,C,D] :
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
inference(nnf_transformation,[status(thm)],[f336]) ).
fof(f336_sk,plain,
! [A,B,C,D] :
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
inference(skolemisation,[status(esa)],[f336_nnf]) ).
cnf(c336,plain,
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
inference(cnf_transformation,[status(esa)],[f336_sk]) ).
cnf(hi329,axiom,
ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c336]) ).
cnf(t23,plain,
s4(b) = true,
inference(hyper_resolution,[status(thm)],[hi329,h195,h87]) ).
cnf(t56,plain,
s4(b) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(f368,negated_conjecture,
~ s4(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ s4(b),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ s4(b),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ s4(b),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
s4(b) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t56]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN209-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.39 % Computer : n019.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Fri Sep 25 00:30:41 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.82/6.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.82/6.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------