%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRA007+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 : Sun Sep 27 07:18:43 AM UTC 2026
% Result : Theorem 56.79s 18.75s
% Output : CNFRefutation 56.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA007+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 13:47:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.79/18.75 % SZS status Theorem for theBenchmark.p
% 56.79/18.75 % SZS output start CNFRefutation for theBenchmark.p
% 56.79/18.75 fof(complete_properties, axiom, (complete => ! [X0] : ! [X1] : (((vertex(X0) & (vertex(X1) & X0 != X1)) => ? [X2] : ((edge(X2) & ~(((X0 = 'head$uof'(X2) & X1 = 'tail$uof'(X2)) <=> (X1 = 'head$uof'(X2) & X0 = 'tail$uof'(X2)))))))))).
% 56.79/18.75 fof(on_path_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((path(X0,X1,X2) & 'on$upath'(X3,X2)) => (edge(X3) & ('in$upath'('head$uof'(X3),X2) & 'in$upath'('tail$uof'(X3),X2)))))).
% 56.79/18.75 fof(in_path_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((path(X0,X1,X2) & 'in$upath'(X3,X2)) => (vertex(X3) & ? [X4] : (('on$upath'(X4,X2) & (X3 = 'head$uof'(X4) | X3 = 'tail$uof'(X4)))))))).
% 56.79/18.75 fof(sequential_defn, axiom, ! [X0] : ! [X1] : ((sequential(X0,X1) <=> (edge(X0) & (edge(X1) & (X0 != X1 & 'head$uof'(X0) = 'tail$uof'(X1))))))).
% 56.79/18.75 fof(precedes_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((path(X1,X2,X0) => ! [X3] : ! [X4] : ((('on$upath'(X3,X0) & ('on$upath'(X4,X0) & (sequential(X3,X4) | ? [X5] : ((sequential(X3,X5) & precedes(X5,X4,X0)))))) => precedes(X3,X4,X0)))))).
% 56.79/18.75 fof(precedes_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ((path(X1,X2,X0) => ! [X3] : ! [X4] : ((precedes(X3,X4,X0) => ('on$upath'(X3,X0) & ('on$upath'(X4,X0) & ~((sequential(X3,X4) <=> ? [X5] : ((sequential(X3,X5) & precedes(X5,X4,X0)))))))))))).
% 56.79/18.75 fof(shortest_path_defn, axiom, ! [X0] : ! [X1] : ! [X2] : (('shortest$upath'(X0,X1,X2) <=> (path(X0,X1,X2) & (X0 != X1 & ! [X3] : ((path(X0,X1,X3) => 'less$uor$uequal'('length$uof'(X2),'length$uof'(X3))))))))).
% 56.79/18.75 fof(shortest_path_properties, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((('shortest$upath'(X0,X1,X4) & precedes(X2,X3,X4)) => (~? [X5] : (('tail$uof'(X5) = 'tail$uof'(X2) & 'head$uof'(X5) = 'head$uof'(X3))) & ~precedes(X3,X2,X4))))).
% 56.79/18.75 fof(back_edge, conjecture, (complete => ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((('shortest$upath'(X0,X1,X4) & precedes(X2,X3,X4)) => ? [X5] : ((edge(X5) & ('tail$uof'(X5) = 'head$uof'(X3) & 'head$uof'(X5) = 'tail$uof'(X2)))))))).
% 56.79/18.75 fof(negated_conjecture, negated_conjecture, ~((complete => ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((('shortest$upath'(X0,X1,X4) & precedes(X2,X3,X4)) => ? [X5] : ((edge(X5) & ('tail$uof'(X5) = 'head$uof'(X3) & 'head$uof'(X5) = 'tail$uof'(X2)))))))), inference(negate_conjecture, [status(cth)], [back_edge])).
% 56.79/18.75 cnf(c19, plain, edge(sK29(X0,X1)) | X1 = X0 | ~complete | ~vertex(X1) | ~vertex(X0), inference(clausification, [status(esa)], [complete_properties])).
% 56.79/18.75 cnf(c21, plain, 'tail$uof'(sK29(X0,X1)) = X0 | X2(sK29(X0,X1),X0,X1) | X1 = X0 | ~complete | ~vertex(X1) | ~vertex(X0), inference(clausification, [status(esa)], [complete_properties])).
% 56.79/18.75 cnf(c22, plain, X0(sK29(X1,X2),X1,X2) | X2 = X1 | ~complete | 'head$uof'(sK29(X1,X2)) = X2 | ~vertex(X2) | ~vertex(X1), inference(clausification, [status(esa)], [complete_properties])).
% 56.79/18.75 cnf(c23, plain, ~X0(X1,X2,X3) | 'tail$uof'(X1) = X3, inference(clausification, [status(esa)], [complete_properties])).
% 56.79/18.75 cnf(c24, plain, ~X0(X1,X2,X3) | 'head$uof'(X1) = X2, inference(clausification, [status(esa)], [complete_properties])).
% 56.79/18.75 cnf(c39, plain, ~'on$upath'(X0,X1) | ~path(X2,X3,X1) | edge(X0), inference(clausification, [status(esa)], [on_path_properties])).
% 56.79/18.75 cnf(c40, plain, ~'on$upath'(X0,X1) | ~path(X2,X3,X1) | 'in$upath'('tail$uof'(X0),X1), inference(clausification, [status(esa)], [on_path_properties])).
% 56.79/18.75 cnf(c41, plain, ~'on$upath'(X0,X1) | ~path(X2,X3,X1) | 'in$upath'('head$uof'(X0),X1), inference(clausification, [status(esa)], [on_path_properties])).
% 56.79/18.75 cnf(c42, plain, ~'in$upath'(X0,X1) | ~path(X2,X3,X1) | vertex(X0), inference(clausification, [status(esa)], [in_path_properties])).
% 56.79/18.75 cnf(c49, plain, ~edge(X0) | sequential(X1,X0) | ~edge(X1) | 'tail$uof'(X0) != 'head$uof'(X1) | X0 = X1, inference(clausification, [status(esa)], [sequential_defn])).
% 56.79/18.75 cnf(c50, plain, ~sequential(X0,X1) | ~'on$upath'(X1,X2) | ~path(X3,X4,X2) | ~'on$upath'(X0,X2) | precedes(X0,X1,X2), inference(clausification, [status(esa)], [precedes_defn])).
% 56.79/18.75 cnf(c52, plain, ~path(X0,X1,X2) | ~precedes(X3,X4,X2) | 'on$upath'(X3,X2), inference(clausification, [status(esa)], [precedes_properties])).
% 56.79/18.75 cnf(c55, plain, ~path(X0,X1,X2) | ~precedes(X3,X4,X2) | 'on$upath'(X4,X2), inference(clausification, [status(esa)], [precedes_properties])).
% 56.79/18.75 cnf(c59, plain, ~'shortest$upath'(X0,X1,X2) | path(X0,X1,X2), inference(clausification, [status(esa)], [shortest_path_defn])).
% 56.79/18.75 cnf(c64, plain, ~precedes(X0,X1,X2) | ~'shortest$upath'(X3,X4,X2) | 'tail$uof'(X0) != 'tail$uof'(X5) | 'head$uof'(X1) != 'head$uof'(X5), inference(clausification, [status(esa)], [shortest_path_properties])).
% 56.79/18.75 cnf(c65, plain, ~precedes(X0,X1,X2) | ~'shortest$upath'(X3,X4,X2) | ~precedes(X1,X0,X2), inference(clausification, [status(esa)], [shortest_path_properties])).
% 56.79/18.75 cnf(c66, plain, complete, inference(clausification, [status(esa)], [negated_conjecture])).
% 56.79/18.75 cnf(c67, plain, precedes(sK81,sK82,sK83), inference(clausification, [status(esa)], [negated_conjecture])).
% 56.79/18.75 cnf(c68, plain, 'shortest$upath'(sK79,sK80,sK83), inference(clausification, [status(esa)], [negated_conjecture])).
% 56.79/18.75 cnf(c69, plain, ~edge(X0) | 'tail$uof'(sK81) != 'head$uof'(X0) | 'head$uof'(sK82) != 'tail$uof'(X0), inference(clausification, [status(esa)], [negated_conjecture])).
% 56.79/18.75 cnf(d0, plain, X0 = X1 | edge(sK29(X1,X0)) | ~vertex(X1) | ~vertex(X0), inference(resolution, [status(thm)], [c66,c19])).
% 56.79/18.75 cnf(d1, plain, path(sK79,sK80,sK83), inference(resolution, [status(thm)], [c59,c68])).
% 56.79/18.75 cnf(d2, plain, ~'on$upath'(X0,sK83) | 'in$upath'('head$uof'(X0),sK83), inference(resolution, [status(thm)], [c41,d1])).
% 56.79/18.75 cnf(d3, plain, vertex(X0) | ~'in$upath'(X0,sK83), inference(resolution, [status(thm)], [c42,d1])).
% 56.79/18.75 cnf(d4, plain, vertex('head$uof'(X0)) | ~'on$upath'(X0,sK83), inference(resolution, [status(thm)], [d3,d2])).
% 56.79/18.75 cnf(d5, plain, ~path(X0,X1,sK83) | 'on$upath'(sK82,sK83), inference(resolution, [status(thm)], [c55,c67])).
% 56.79/18.75 cnf(d6, plain, 'on$upath'(sK82,sK83), inference(resolution, [status(thm)], [d5,d1])).
% 56.79/18.75 cnf(d7, plain, vertex('head$uof'(sK82)), inference(resolution, [status(thm)], [d6,d4])).
% 56.79/18.75 cnf(d8, plain, X0 = X1 | 'head$uof'(sK29(X1,X0)) = X0 | ~vertex(X1) | ~vertex(X0) | 'Ts26'(sK29(X1,X0),X1,X0), inference(resolution, [status(thm)], [c66,c22])).
% 56.79/18.75 cnf(d9, plain, X0 = X1 | 'head$uof'(sK29(X1,X0)) = X0 | ~vertex(X1) | ~vertex(X0) | 'head$uof'(sK29(X1,X0)) = X1, inference(resolution, [status(thm)], [d8,c24])).
% 56.79/18.75 cnf(d10, plain, ~'on$upath'(X0,sK83) | 'in$upath'('tail$uof'(X0),sK83), inference(resolution, [status(thm)], [c40,d1])).
% 56.79/18.75 cnf(d11, plain, vertex('tail$uof'(X0)) | ~'on$upath'(X0,sK83), inference(resolution, [status(thm)], [d3,d10])).
% 56.79/18.75 cnf(d12, plain, ~path(X0,X1,sK83) | 'on$upath'(sK81,sK83), inference(resolution, [status(thm)], [c52,c67])).
% 56.79/18.75 cnf(d13, plain, 'on$upath'(sK81,sK83), inference(resolution, [status(thm)], [d12,d1])).
% 56.79/18.75 cnf(d14, plain, vertex('tail$uof'(sK81)), inference(resolution, [status(thm)], [d13,d11])).
% 56.79/18.75 cnf(d15, plain, 'tail$uof'(sK81) = X0 | 'head$uof'(sK29(X0,'tail$uof'(sK81))) = X0 | 'head$uof'(sK29(X0,'tail$uof'(sK81))) = 'tail$uof'(sK81) | ~vertex(X0), inference(resolution, [status(thm)], [d14,d9])).
% 56.79/18.75 cnf(d16, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'tail$uof'(sK81) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(resolution, [status(thm)], [d15,d7])).
% 56.79/18.75 cnf(d17, plain, 'tail$uof'(sK81) != 'tail$uof'(sK81) | 'head$uof'(sK82) != 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) | ~edge(sK29('head$uof'(sK82),'tail$uof'(sK81))) | 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(superposition, [status(thm)], [d16,c69])).
% 56.79/18.75 cnf(d18, plain, X0 = X1 | 'tail$uof'(sK29(X1,X0)) = X1 | ~vertex(X1) | ~vertex(X0) | 'Ts26'(sK29(X1,X0),X1,X0), inference(resolution, [status(thm)], [c66,c21])).
% 56.79/18.75 cnf(d19, plain, X0 = X1 | 'tail$uof'(sK29(X1,X0)) = X1 | ~vertex(X1) | ~vertex(X0) | 'head$uof'(sK29(X1,X0)) = X1, inference(resolution, [status(thm)], [d18,c24])).
% 56.79/18.75 cnf(d20, plain, 'tail$uof'(sK81) = X0 | 'head$uof'(sK29(X0,'tail$uof'(sK81))) = X0 | 'tail$uof'(sK29(X0,'tail$uof'(sK81))) = X0 | ~vertex(X0), inference(resolution, [status(thm)], [d14,d19])).
% 56.79/18.75 cnf(d21, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(resolution, [status(thm)], [d20,d7])).
% 56.79/18.75 cnf(d22, plain, 'head$uof'(sK82) != 'head$uof'(sK82) | 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | 'tail$uof'(sK81) != 'tail$uof'(sK81) | ~edge(sK29('head$uof'(sK82),'tail$uof'(sK81))) | 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(superposition, [status(thm)], [d21,d17])).
% 56.79/18.75 cnf(d23, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'head$uof'(sK82) != 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~edge(sK29('head$uof'(sK82),'tail$uof'(sK81))), inference(equality_resolution, [status(thm)], [d22])).
% 56.79/18.75 cnf(d24, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~edge(sK29('head$uof'(sK82),'tail$uof'(sK81))), inference(equality_resolution, [status(thm)], [d23])).
% 56.79/18.75 cnf(d25, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~vertex('head$uof'(sK82)) | ~vertex('tail$uof'(sK81)), inference(resolution, [status(thm)], [d24,d0])).
% 56.79/18.75 cnf(d26, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~vertex('head$uof'(sK82)), inference(resolution, [status(thm)], [d14,d25])).
% 56.79/18.75 cnf(d27, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(resolution, [status(thm)], [d7,d26])).
% 56.79/18.75 cnf(d28, plain, X0 = X1 | 'tail$uof'(sK29(X1,X0)) = X1 | ~vertex(X1) | ~vertex(X0) | 'tail$uof'(sK29(X1,X0)) = X0, inference(resolution, [status(thm)], [d18,c23])).
% 56.79/18.75 cnf(d29, plain, 'tail$uof'(sK81) = X0 | 'tail$uof'(sK29(X0,'tail$uof'(sK81))) = X0 | 'tail$uof'(sK29(X0,'tail$uof'(sK81))) = 'tail$uof'(sK81) | ~vertex(X0), inference(resolution, [status(thm)], [d14,d28])).
% 56.79/18.75 cnf(d30, plain, 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'tail$uof'(sK81) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(resolution, [status(thm)], [d29,d7])).
% 56.79/18.75 cnf(d31, plain, 'tail$uof'(X0) != 'tail$uof'(sK81) | 'head$uof'(X1) != 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) | ~precedes(X0,X1,X2) | ~'shortest$upath'(X3,X4,X2) | 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(superposition, [status(thm)], [d30,c64])).
% 56.79/18.75 cnf(d32, plain, 'head$uof'(X0) != 'head$uof'(sK82) | 'tail$uof'(X1) != 'tail$uof'(sK81) | 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~precedes(X1,X0,X2) | ~'shortest$upath'(X3,X4,X2) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(superposition, [status(thm)], [d27,d31])).
% 56.79/18.75 cnf(d33, plain, 'head$uof'(X0) != 'head$uof'(sK82) | 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~precedes(sK81,X0,X1) | ~'shortest$upath'(X2,X3,X1), inference(equality_resolution, [status(thm)], [d32])).
% 56.79/18.75 cnf(d34, plain, 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~precedes(sK81,sK82,X0) | ~'shortest$upath'(X1,X2,X0), inference(equality_resolution, [status(thm)], [d33])).
% 56.79/18.75 cnf(d35, plain, 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | ~precedes(sK81,sK82,sK83), inference(resolution, [status(thm)], [d34,c68])).
% 56.79/18.75 cnf(d36, plain, 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(resolution, [status(thm)], [c67,d35])).
% 56.79/18.75 cnf(d37, plain, X0 = X1 | 'head$uof'(sK29(X1,X0)) = X0 | ~vertex(X1) | ~vertex(X0) | 'tail$uof'(sK29(X1,X0)) = X0, inference(resolution, [status(thm)], [d8,c23])).
% 56.79/18.75 cnf(d38, plain, 'tail$uof'(sK81) = X0 | 'head$uof'(sK29(X0,'tail$uof'(sK81))) = 'tail$uof'(sK81) | 'tail$uof'(sK29(X0,'tail$uof'(sK81))) = 'tail$uof'(sK81) | ~vertex(X0), inference(resolution, [status(thm)], [d14,d37])).
% 56.79/18.75 cnf(d39, plain, 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'tail$uof'(sK81) | 'tail$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'tail$uof'(sK81) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(resolution, [status(thm)], [d38,d7])).
% 56.79/18.75 cnf(d40, plain, 'tail$uof'(sK81) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | 'head$uof'(sK29('head$uof'(sK82),'tail$uof'(sK81))) = 'tail$uof'(sK81) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(superposition, [status(thm)], [d39,d36])).
% 56.79/18.75 cnf(d41, plain, 'tail$uof'(sK81) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82) | 'tail$uof'(sK81) = 'head$uof'(sK82), inference(superposition, [status(thm)], [d40,d27])).
% 56.79/18.75 cnf(d42, plain, 'head$uof'(sK82) != 'head$uof'(X0) | sK81 = X0 | sequential(X0,sK81) | ~edge(sK81) | ~edge(X0), inference(superposition, [status(thm)], [d41,c49])).
% 56.79/18.75 cnf(d43, plain, edge(X0) | ~'on$upath'(X0,sK83), inference(resolution, [status(thm)], [c39,d1])).
% 56.79/18.75 cnf(d44, plain, edge(sK81), inference(resolution, [status(thm)], [d13,d43])).
% 56.79/18.75 cnf(d45, plain, 'head$uof'(sK82) != 'head$uof'(X0) | sK81 = X0 | sequential(X0,sK81) | ~edge(X0), inference(resolution, [status(thm)], [d44,d42])).
% 56.79/18.75 cnf(d46, plain, sK81 = sK82 | sequential(sK82,sK81) | ~edge(sK82), inference(equality_resolution, [status(thm)], [d45])).
% 56.79/18.75 cnf(d47, plain, edge(sK82), inference(resolution, [status(thm)], [d6,d43])).
% 56.79/18.75 cnf(d48, plain, sK81 = sK82 | sequential(sK82,sK81), inference(resolution, [status(thm)], [d47,d46])).
% 56.79/18.75 cnf(d49, plain, ~sequential(X0,X1) | ~'on$upath'(X0,sK83) | ~'on$upath'(X1,sK83) | precedes(X0,X1,sK83), inference(resolution, [status(thm)], [c50,d1])).
% 56.79/18.75 cnf(d50, plain, ~precedes(X0,X1,sK83) | ~precedes(X1,X0,sK83), inference(resolution, [status(thm)], [c65,c68])).
% 56.79/18.75 cnf(d51, plain, ~precedes(sK82,sK81,sK83), inference(resolution, [status(thm)], [d50,c67])).
% 56.79/18.75 cnf(d52, plain, ~sequential(sK82,sK81) | ~'on$upath'(sK81,sK83) | ~'on$upath'(sK82,sK83), inference(resolution, [status(thm)], [d51,d49])).
% 56.79/18.75 cnf(d53, plain, ~sequential(sK82,sK81) | ~'on$upath'(sK82,sK83), inference(resolution, [status(thm)], [d13,d52])).
% 56.79/18.75 cnf(d54, plain, ~sequential(sK82,sK81), inference(resolution, [status(thm)], [d6,d53])).
% 56.79/18.75 cnf(d55, plain, sK81 = sK82, inference(resolution, [status(thm)], [d54,d48])).
% 56.79/18.75 cnf(d56, plain, precedes(sK81,sK81,sK83), inference(demodulation, [status(thm)], [c67,d55])).
% 56.79/18.75 cnf(d57, plain, ~precedes(sK81,sK81,sK83), inference(demodulation, [status(thm)], [d51,d55])).
% 56.79/18.75 cnf(d58, plain, $false, inference(resolution, [status(thm)], [d57,d56])).
% 56.79/18.75 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------