%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN273-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 09:27:17 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ p4(e,c,e),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ p4(e,c,e),
inference(instantiation,[status(thm)],[361]) ).
cnf(317,plain,
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_287]) ).
cnf(l1,plain,
( ~ k3(e,e,c)
| p4(e,c,e) ),
inference(instantiation,[status(thm)],[317]) ).
cnf(235,plain,
( ~ q0(X0,X1)
| ~ k2(X2,X3)
| ~ k3(X1,X4,X3)
| k3(X2,X2,X1) ),
inference(cnf,[status(esa)],[rule_202]) ).
cnf(l2,plain,
( ~ q0(d,c)
| ~ k2(e,c)
| ~ k3(c,c,c)
| k3(e,e,c) ),
inference(instantiation,[status(thm)],[235]) ).
cnf(32,plain,
q0(d,c),
inference(cnf,[status(esa)],[axiom_33]) ).
cnf(l3,plain,
q0(d,c),
inference(instantiation,[status(thm)],[32]) ).
cnf(230,plain,
( ~ m1(X0,X0,X1)
| ~ p2(X2,X1,X2)
| k3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_196]) ).
cnf(l4,plain,
( ~ m1(c,c,c)
| ~ p2(c,c,c)
| k3(c,c,c) ),
inference(instantiation,[status(thm)],[230]) ).
cnf(162,plain,
( ~ k1(X0)
| ~ m1(X1,X2,X3)
| ~ k2(X0,X2)
| k2(X3,X2) ),
inference(cnf,[status(esa)],[rule_127]) ).
cnf(l5,plain,
( ~ k1(b)
| ~ m1(e,c,e)
| ~ k2(b,c)
| k2(e,c) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l6,plain,
( ~ n0(d,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(197,plain,
( ~ q1(X0,c,X0)
| ~ k2(X1,c)
| p2(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_163]) ).
cnf(l7,plain,
( ~ q1(c,c,c)
| ~ k2(c,c)
| p2(c,c,c) ),
inference(instantiation,[status(thm)],[197]) ).
cnf(70,plain,
( ~ q0(X0,X0)
| ~ m1(X1,X0,X2)
| m1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_033]) ).
cnf(l8,plain,
( ~ q0(b,b)
| ~ m1(c,b,c)
| m1(c,c,c) ),
inference(instantiation,[status(thm)],[70]) ).
cnf(l9,plain,
( ~ k1(c)
| ~ m1(b,c,b)
| ~ k2(c,c)
| k2(b,c) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(164,plain,
( ~ q1(X0,X1,X1)
| k2(X1,X1) ),
inference(cnf,[status(esa)],[rule_129]) ).
cnf(l10,plain,
( ~ q1(b,c,c)
| k2(c,c) ),
inference(instantiation,[status(thm)],[164]) ).
cnf(66,plain,
( ~ s0(X0)
| ~ p0(X0,X1)
| m1(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_029]) ).
cnf(l20,plain,
( ~ s0(b)
| ~ p0(b,c)
| m1(b,c,b) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(156,plain,
( ~ m0(X0,X1,X2)
| q1(X2,X2,X2) ),
inference(cnf,[status(esa)],[rule_121]) ).
cnf(l13,plain,
( ~ m0(X0_14,d,c)
| q1(c,c,c) ),
inference(instantiation,[status(thm)],[156]) ).
cnf(58,plain,
( ~ l0(X0)
| ~ k0(X1)
| m1(X0,X1,X0) ),
inference(cnf,[status(esa)],[rule_021]) ).
cnf(l11,plain,
( ~ l0(c)
| ~ k0(b)
| m1(c,b,c) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(l22,plain,
( ~ n0(d,c)
| k1(c) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(6,plain,
n0(d,b),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l12,plain,
n0(d,b),
inference(instantiation,[status(thm)],[6]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l36,plain,
p0(b,c),
inference(instantiation,[status(thm)],[13]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l25,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(4,plain,
s0(b),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l37,plain,
s0(b),
inference(instantiation,[status(thm)],[4]) ).
cnf(l16,plain,
( ~ q1(c,c,c)
| k2(c,c) ),
inference(instantiation,[status(thm)],[164]) ).
cnf(l17,plain,
( ~ m0(X0_39,d,c)
| q1(c,c,c) ),
inference(instantiation,[status(thm)],[156]) ).
cnf(25,plain,
n0(d,c),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l30,plain,
n0(d,c),
inference(instantiation,[status(thm)],[25]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l14,plain,
m0(X0_14,d,c),
inference(instantiation,[status(thm)],[18]) ).
cnf(5,plain,
q0(b,b),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l15,plain,
q0(b,b),
inference(instantiation,[status(thm)],[5]) ).
cnf(31,plain,
k0(b),
inference(cnf,[status(esa)],[axiom_32]) ).
cnf(l23,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(44,plain,
( ~ r0(X0)
| ~ p0(X1,X2)
| m1(X0,X2,X0) ),
inference(cnf,[status(esa)],[rule_007]) ).
cnf(l26,plain,
( ~ r0(e)
| ~ p0(b,c)
| m1(e,c,e) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l27,plain,
p0(b,c),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
r0(e),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l38,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(l39,plain,
m0(X0_39,d,c),
inference(instantiation,[status(thm)],[18]) ).
cnf(130,plain,
( ~ p0(X0,X1)
| q1(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_095]) ).
cnf(l28,plain,
( ~ p0(c,b)
| q1(b,c,c) ),
inference(instantiation,[status(thm)],[130]) ).
cnf(17,plain,
p0(c,b),
inference(cnf,[status(esa)],[axiom_18]) ).
cnf(l32,plain,
p0(c,b),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l20,l13,l11,l22,l12,l36,l25,l37,l16,l17,l30,l14,l15,l23,l26,l27,l38,l39,l28,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN273-1 : TPTP v9.0.0. Released v1.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:46:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.36 % launching worker at depth: 12
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------