%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA016-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 : Tue Sep 29 09:31:17 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 55 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 17 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_times(c_1,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f6,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| X1 = c_0
| c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).
fof(f7,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_0 = X1
| c_1 = c_times(X1,c_HOL_Oinverse(X1,X0),X0) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Omonoid__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
fof(f9,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f10,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f11,plain,
! [X0,X1] :
( class_OrderedGroup_Omonoid__mult(X0)
| c_times(c_1,X1,X0) = X1 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( class_Ring__and__Field_Ofield(X0)
| c_0 = X1
| c_1 = c_times(X1,c_HOL_Oinverse(X1,X0),X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f14,plain,
! [X0] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| class_Ring__and__Field_Ofield(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f15,plain,
! [X0] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| class_Ring__and__Field_Ofield(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f16,plain,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f17,plain,
! [X0,X1] :
( class_Ring__and__Field_Ofield(X1)
| c_times(c_1,X0,X1) = X0 ),
inference(resolution,[],[f11,f14]) ).
fof(f18,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_times(c_1,X0,X1) = X0 ),
inference(resolution,[],[f17,f16]) ).
fof(f19,plain,
! [X0] : c_times(c_1,X0,t_a) = X0,
inference(resolution,[],[f18,f3]) ).
fof(f20,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| c_1 = c_times(X0,c_HOL_Oinverse(X0,X1),X1)
| c_0 = X0 ),
inference(resolution,[],[f13,f16]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( class_Ring__and__Field_Ofield(X2)
| c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) ),
inference(resolution,[],[f12,f15]) ).
fof(f22,plain,
! [X0] :
( c_1 = c_times(X0,c_HOL_Oinverse(X0,t_a),t_a)
| c_0 = X0 ),
inference(resolution,[],[f20,f3]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) ),
inference(resolution,[],[f21,f16]) ).
fof(f36,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(resolution,[],[f35,f3]) ).
fof(f38,plain,
! [X0,X1] :
( c_times(X0,c_times(c_HOL_Oinverse(X0,t_a),X1,t_a),t_a) = c_times(c_1,X1,t_a)
| c_0 = X0 ),
inference(superposition,[],[f36,f22]) ).
fof(f43,plain,
! [X0,X1] :
( c_times(X0,c_times(c_HOL_Oinverse(X0,t_a),X1,t_a),t_a) = X1
| c_0 = X0 ),
inference(forward_demodulation,[],[f38,f19]) ).
fof(f52,plain,
( v_g(v_x) != v_g(v_x)
| v_c = c_0 ),
inference(superposition,[],[f2,f43]) ).
fof(f55,plain,
v_c = c_0,
inference(trivial_inequality_removal,[],[f52]) ).
fof(f57,plain,
$false,
inference(forward_subsumption_resolution,[],[f55,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA016-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:29:02 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (2272463)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (2272469)% WARNING: option uhcvi not known.
% 0.20/0.27 % (2272469)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4015787737:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (2272469) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2272463-2272469"...
% 0.20/0.27 % (2272469)...printing done.
% 0.20/0.27 % (2272469)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (2272469)------------------------------
% 0.20/0.27 % (2272469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2272469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2272469)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2272469)Termination reason: Refutation
% 0.20/0.27 % (2272469)Time elapsed: 0.002 s
% 0.20/0.27 % (2272469)Peak memory usage: 11 MB
% 0.20/0.27 % (2272469)Instructions burned: 3 (million)
% 0.20/0.27 % (2272463)Success in time 0.03 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------